## Random Operators and Stochastic Equations

 Short Title: Random Oper. Stoch. Equ. Publisher: De Gruyter, Berlin ISSN: 0926-6364; 1569-397X/e Online: http://www.degruyter.com/view/j/rose Comments: Indexed cover-to-cover
 Documents Indexed: 658 Publications (since 1993) References Indexed: 289 Publications with 4,729 References.
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### Authors

 75 Girko, Vyacheslav Leonidovich 27 Gupta, Arjun Kumar 17 Kozachenko, Yuriĭ Vasyl’ovych 16 Leonenko, Nikolai N. 16 N’Zi, Modeste 15 Ouknine, Youssef 11 Molchanov, Stanislav Alekseevich 11 Pogorui, Anatoliy A. 10 Prakasa Rao, B. L. S. 9 Albeverio, Sergio A. 9 Rodríguez-Dagnino, Ramón Martín 8 Bondarev, Borys Volodymyrovych 8 Kirsch, Werner 8 Shatashvili, Albert D. 8 Skorokhod, Anatoliĭ Volodymyrovych 7 Chala, Adel 7 El Otmani, Mohamed 7 Erraoui, Mohamed 7 Mezerdi, Brahim 7 Nadarajah, Saralees 7 Vladimirova, Anna I. 6 Al-Hussein, Abdulrahman 6 Bahlali, Seid 6 Moklyachuk, Mykhaĭlo Pavlovych 6 Tudor, Ciprian A. 5 Accardi, Luigi 5 Aman, Auguste 5 Bahlali, Khaled 5 Botelho, Luiz C. L. 5 Eddahbi, M’hamed 5 Gherbal, Boulakhras 5 Kadankov, Viktor F. 5 Khorunzhy, Alexei M. 5 Kondrat’yev, Yuriĭ Grygorovych 5 Kumam, Poom 5 Lakhel, El Hassan 5 Mishura, Yuliya Stepanivna 5 Nguyen Minh Chuong 5 Ouerdiane, Habib 5 Portenko, Mykola Ivanovych 5 Rempała, Grzegorz A. 5 Sghir, Aissa 5 Shevchuk, Larissa D. 5 Thuan, Nguyen Xuan 4 Aidara, Sadibou 4 Ait Ouahra, Mohamed 4 Bamber, Donald 4 Boufoussi, Brahim 4 Choudhury, Binayak Samadder 4 Goodman, Irwin R. 4 Katafygiotis, Lambros S. 4 Knopova, Victoria Pavlovna 4 Kulik, Alexey M. 4 Nagar, Daya K. 4 Nguyen, Hung Trung 4 Ning, Wei 4 Salehi, Habib 4 Tsarkov, Yevgeny 3 Anh, Vo V. 3 Barhoumi, Abdessatar 3 Boudref, Mohamed-Ahmed 3 Boutet de Monvel, Anne Marie 3 Carmona, René A. 3 Casati, Giulio 3 Ezzinbi, Khalil 3 Fomin-Shatashvili, Andrey A. 3 Haidar, Nassar H. S. 3 Kadankova, Tat’yana V. 3 Koralov, Leonid B. 3 Kulinich, Grygoriĭ L. 3 Li, Zhi 3 Lu, Yun Gang 3 Makhno, Sergeĭ Yakovlevich 3 Nashine, Hemant Kumar 3 Nieto Roig, Juan Jose 3 Orsingher, Enzo 3 Ouahab, Abdelghani 3 Owo, Jean-Marc 3 Polshkov, Yulian Nikolaevich 3 Pratsiovytyi, Mykola V. 3 Rodrigues, Waldyr Alves jun. 3 Ruiz-Medina, María Dolores 3 Sbi, A. 3 Sen, Pranab Kumar 3 Shaikhet, Leonid Efimovich 3 Shevchenko, Georgiy M. 3 Skorokhod, D. A. 3 Swishchuk, Anatoliy 3 Thang, Dang Hung 3 Veretennikov, Alexander Yu. 3 Viens, Frederi G. 3 Wang, Tonghui 3 Yode, Armel Fabrice 3 Yurachkivsky, Andriĭ P. 2 Akdim, Khadija 2 Arnold, Ludwig 2 Ayed, Wided 2 Berboucha, Ahmed 2 Bishwal, Jaya P. N. 2 Blouhi, Tayeb ...and 505 more Authors
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### Fields

 527 Probability theory and stochastic processes (60-XX) 119 Statistics (62-XX) 71 Linear and multilinear algebra; matrix theory (15-XX) 60 Partial differential equations (35-XX) 47 Operator theory (47-XX) 42 Systems theory; control (93-XX) 31 Ordinary differential equations (34-XX) 29 Numerical analysis (65-XX) 19 Measure and integration (28-XX) 19 Quantum theory (81-XX) 18 Functional analysis (46-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 16 Dynamical systems and ergodic theory (37-XX) 15 Statistical mechanics, structure of matter (82-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Biology and other natural sciences (92-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Number theory (11-XX) 8 General topology (54-XX) 8 Fluid mechanics (76-XX) 7 Information and communication theory, circuits (94-XX) 6 Special functions (33-XX) 6 Computer science (68-XX) 5 Real functions (26-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Integral equations (45-XX) 3 History and biography (01-XX) 3 Approximations and expansions (41-XX) 3 Operations research, mathematical programming (90-XX) 2 Combinatorics (05-XX) 2 Topological groups, Lie groups (22-XX) 2 Difference and functional equations (39-XX) 2 Convex and discrete geometry (52-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX)

### Citations contained in zbMATH Open

336 Publications have been cited 1,325 times in 1,078 Documents Cited by Year
Some skew-symmetric models. Zbl 1118.60300
Gupta, A. K.; Chang, F. C.; Huang, W. J.
2002
Localization for random perturbations of periodic Schrödinger operators. Zbl 0927.60067
Kirsch, Werner; Stollmann, Peter; Stolz, Günter
1998
Existence and uniqueness of solutions of stochastic functional differential equations. Zbl 1248.60067
von Renesse, Max-K.; Scheutzow, Michael
2010
Asymptotic distribution of smoothed eigenvalue density. II. Wigner random matrices. Zbl 0952.60064
Boutet de Monvel, A.; Khorunzhy, A.
1999
Asymptotic distribution of smoothed eigenvalue density. I. Gaussian random matrices. Zbl 0936.15021
Boutet de Monvel, A.; Khorunzhy, A.
1999
Stochastic partial differential equations driven by Lévy space-time white noise. Zbl 0972.60048
Applebaum, David; Wu, Jiang-Lun
2000
Motions with reflecting and absorbing barriers driven by the telegraph equation. Zbl 0822.60073
Orsingher, E.
1995
Parametric estimation for linear stochastic differential equations driven by fractional Brownian motion. Zbl 1053.62089
Prakasa Rao, B. L. S.
2003
Some SDEs with distributional drift. II: Lyons-Zheng structure, Itô’s formula and semimartingale characterization. Zbl 1088.60058
Flandoli, Franco; Russo, Francesco; Wolf, Jochen
2004
The stochastic maximum principle in optimal control of singular diffusions with nonlinear coefficients. Zbl 1101.93080
Bahlali, Seid; Chala, Adel
2005
Asymptotic approximations for EPMC’s of the linear and the quadratic discriminant functions when the sample sizes and the dimension are large. Zbl 0924.62070
Fujikoshi, Yasunori; Seo, Takashi
1998
Some perturbations of drift-type for symmetric stable processes. Zbl 0839.60056
Portenko, N. I.
1994
Asymptotics for the almost sure Lyapunov exponent for the solution of the parabolic Anderson problem. Zbl 0972.60050
Carmona, Rene; Koralov, Leonid; Molchanov, Stanislav
2001
The strong circular law. Twenty years later. II. Zbl 1065.60026
Girko, V. L.
2004
Almost sure exponential stability of the Euler-Maruyama approximations for stochastic functional differential equations. Zbl 1276.60063
Wu, Fuke; Mao, Xuerong; Kloeden, Peter E.
2011
The circular law. Thirty years later. Zbl 1278.15041
Girko, Vyacheslav L.
2012
One-dimensional semi-Markov evolutions with general Erlang sojourn times. Zbl 1116.60051
Pogorui, A. A.; Rodríguez-Dagnino, Ramón M.
2005
Intrinsic small time estimates for distribution densities of Lévy processes. Zbl 1291.60095
Knopova, Victoria; Kulik, Alexei
2013
The circular law. Twenty years later. III. Zbl 1088.60020
Girko, V. L.
2005
An asymptotic expansion for the density of states of a random Schrödinger operator with Bernoulli disorder. Zbl 0841.60047
Klopp, Frédéric
1995
Simulation of Gaussian stochastic processes. Zbl 1051.60040
Kozachenko, Yuri; Rozora, Iryna
2003
Random fixed point theorem in generalized Banach space and applications. Zbl 1380.47043
Sinacer, Moulay Larbi; Nieto, Juan Jose; Ouahab, Abdelghani
2016
Stochastic non-resistive magnetohydrodynamic system with Lévy noise. Zbl 1372.76030
Manna, Utpal; Mohan, Manil T.; Sritharan, Sivaguru S.
2017
On multidimensional stable processes with locally unbounded drift. Zbl 0832.60066
Podolynny, S. I.; Portenko, N. I.
1995
Strong uniform consistency of a nonparametric estimator of a conditional quantile for censored dependent data and functional regressors. Zbl 1348.62169
Horrigue, Walid; Ould Saïd, Elias
2011
$$L^p$$-solutions of the stochastic transport equation. Zbl 1270.60070
Catuogno, Pedro; Olivera, Christian
2013
Backward doubly stochastic differential equations with non-Lipschitz coefficients. Zbl 1199.60058
N’zi, Modeste; Owo, Jean-Marc
2008
On an expansion of random processes in series. Zbl 1142.60349
Kozachenko, Yu. V.; Rozora, I. V.; Turchyn, Ye. V.
2007
Jordan normal form for linear cocycles. Zbl 0971.37002
Arnold, Ludwig; Nguyen Dinh Cong; Oseledets, Valery
1999
Sharp upper bound on the almost-sure exponential behavior of a stochastic parabolic partial differential equation. Zbl 0849.60062
Carmona, René; Viens, Frederi. G.; Molchanov, S. A.
1996
A solvable model for homopolymers and self-similarity near the critical point. Zbl 1224.60247
Cranston, M.; Koralov, L.; Molchanov, S.; Vainberg, B.
2010
Equilibrium Glauber dynamics of continuous particle systems as a scaling limit of Kawasaki dynamics. Zbl 1199.60342
Finkelshtein, Dmitri L.; Kondratiev, Yuri G.; Lytvynov, Eugene W.
2007
Random fixed points of multivalued random operators with property (D). Zbl 1199.47238
Kumam, Wiyada; Kumam, Poom
2007
Upper estimate of overrunning by $$\text{Sub}_{\varphi}(\Omega)$$ random process the level specified by continuous function. Zbl 1118.60025
Vasylyk, Olga; Kozachenko, Yuriy; Yamnenko, Rostyslav
2005
Random block matrix density and ss-law. Zbl 0959.60054
Girko, V. L.
2000
Backward parabolic Ito equations and the second fundamental inequality. Zbl 1273.60075
Dokuchaev, Nikolai
2012
Strong, mild and weak solutions of backward stochastic evolution equations. Zbl 1119.60042
Al-Hussein, Abdul Rahman
2005
Optimality conditions of controlled backward doubly stochastic differential equations. Zbl 1226.93136
Bahlali, Seid; Gherbal, Boulakhras
2010
BSDEs with right upper-semicontinuous reflecting obstacle and stochastic Lipschitz coefficient. Zbl 1412.60096
Marzougue, Mohamed; El Otmani, Mohamed
2019
Convex-valued random dynamical systems: A variational principle for equilibrium states. Zbl 0933.93063
Arnold, L.; Evstigneev, I. V.; Gundlach, V. M.
1999
Equivalence of gradients on configuration spaces. Zbl 0955.60068
Privault, Nicolas
1999
Wick calculus for regular generalized stochastic functionals. Zbl 0955.60066
Grothaus, M.; Kondratiev, Yu. G.; Us, G. F.
1999
Markovian random evolution in $$R^{n}$$. Zbl 0976.60074
Samoilenko, I. V.
2001
The circular law: Ten years later. Zbl 0839.60038
Girko, V. L.
1994
$$L^p$$-solution of reflected generalized BSDEs with non-Lipschitz coefficients. Zbl 1224.60063
Aman, Auguste
2009
Common random fixed points for multivalued random operators without $$S$$- and $$T$$-weakly commuting random operators. Zbl 1221.47105
Sintunavarat, W.; Kumam, P.; Patthanangkoor, P.
2009
Two-dimensional stochastic Navier-Stokes equations with fractional Brownian noise. Zbl 1271.60072
Fang, Liqun; Sundar, P.; Viens, Frederi G.
2013
Representations of multidimensional linear process bridges. Zbl 1391.60179
Barczy, Mátyás; Kern, Peter
2013
Exponential stability for stochastic neutral functional differential equations driven by Rosenblatt process with delay and Poisson jumps. Zbl 1338.60159
Lakhel, El Hassan
2016
Random fixed point theorem for multivalued nonexpansive operators in uniformly nonsquare Banach spaces. Zbl 1119.47061
Kumam, Poom; Plubtieng, Somyot
2006
Fully coupled forward backward stochastic differential equations driven by Lévy processes and application to differential games. Zbl 1300.60073
Baghery, Fouzia; Khelfallah, Nabil; Mezerdi, Brahim; Turpin, Isabelle
2014
Asymptotic behavior of $$M$$-estimators in continuous time non-linear regression with long-range dependent errors. Zbl 1010.62022
Ivanov, A. V.; Leonenko, N. N.
2002
The strong circular law. Twenty years later. I. Zbl 1088.60019
Girko, V. L.
2004
Asymptotic behavior of spectral functions of empirical covariance matrices. Zbl 0827.62050
Girko, V. L.; Gupta, A. K.
1994
Matrix variate Kummer-gamma distribution. Zbl 0980.15019
Nagar, Daya K.; Gardeño, Liliam
2001
Likelihood procedure for testing change point hypothesis for multivariate Gaussian model. Zbl 0831.62020
Chen, Jie; Gupta, A. K.
1995
Wigner’s semicircle law for band random matrices. Zbl 0839.60027
Casati, G.; Girko, V.
1993
Asymptotic properties of the LSE in a regression model with long-memory Gaussian and non-Gaussian stationary errors. Zbl 0849.62049
Leonenko, N. N.; Šilac-Benšić, M.
1996
On smoothed density of states for Wigner random matrices. Zbl 0929.60045
Khorunzhy, A.
1997
35 years of the inverse tangent law. Zbl 1268.60005
Girko, Vyacheslav
2011
Reflected backward doubly stochastic differential equations with discontinuous generator. Zbl 1284.60113
Aman, Auguste; Owo, Jean Marc
2012
Numerical study of stochastic Volterra-Fredholm integral equations by using second kind Chebyshev wavelets. Zbl 1338.60173
2016
Weak solutions and a Yamada-Watanabe theorem for FBSDEs. Zbl 1199.60199
Bahlali, K.; Mezerdi, B.; N’zi, M.; Ouknine, Y.
2007
On the distribution of the moment of the first exit time from an interval and value of overjump through borders interval for the processes with independent increments and random walk. Zbl 1123.60064
2005
Quantum white noise convolution operators with application to differential equations. Zbl 1329.60241
Barhoumi, Abdessatar; Lanconelli, Alberto; Rguigui, Hafedh
2014
Reflected backward stochastic differential equation with jumps and locally Lipschitz coefficient. Zbl 1004.60059
Bahlali, Khaled; Essaky, El Hassan; Ouknine, Youssef
2002
On random equations and applications to random fixed point theorems. Zbl 1226.60094
Thang, Dang H.; Anh, Ta N.
2010
Existence and exponential stability for some stochastic neutral partial functional integrodifferential equations. Zbl 1293.35371
Diop, Mamadou Abdou; Ezzinbi, Khalil; Lo, Modou
2014
From the first rigorous proof of the circular law in 1984 to the circular law for block random matrices under the generalized Lindeberg condition. Zbl 1388.15032
Girko, Vyacheslav L.
2018
Gevrey regularity of random attractors for stochastic reaction-diffusion equations. Zbl 0959.60045
Chueshov, Igor D.
2000
Duality and semi-group property for backward parabolic Itô equations. Zbl 1224.60192
Dokuchaev, Nikolai
2010
High moments of large Wigner random matrices and asymptotic properties of the spectral norm. Zbl 1270.15025
Khorunzhiy, Oleksiy
2012
The relaxed optimal control problem of forward-backward stochastic doubly systems with Poisson jumps and its application to LQ problem. Zbl 1263.93235
2012
Matrix variate extended skew normal distributions. Zbl 1349.62183
Ning, Wei; Gupta, Arjun K.
2012
30 years of general statistical analysis and canonical equation $$K_{60}$$ for Hermitian matrices $$(A+BUC)(A+BUC)^*$$, where $$U$$ is a random unitary matrix. Zbl 1329.15069
Girko, Vyacheslav L.
2015
Berry-Esseen bounds and almost sure CLT for the quadratic variation of the bifractional Brownian motion. Zbl 1335.60017
Aazizi, Soufiane; Es-Sebaiy, Khalifa
2016
A note on the Itô formula of stochastic integrals in Banach spaces. Zbl 1118.60050
Hausenblas, Krika
2006
White noise approach to stochastic integration. Zbl 1119.60038
Accardi, Luigi; Ayed, Wided; Ouerdiane, Habib
2005
Existence and optimality conditions in stochastic control of linear BSDEs. Zbl 1226.49016
Bahlali, Khaled; Gherbal, Boulakhrass; Mezerdi, Brahim
2010
Parametric estimation for linear stochastic differential equations driven by sub-fractional Brownian motion. Zbl 06815262
Prakasa Rao, B. L. S.
2017
Existence theory of fractional coupled differential equations via $$\Psi$$-Hilfer fractional derivative. Zbl 1442.34014
Harikrishnan, Sugumaran; Shah, Kamal; Kanagarajan, Kuppusamy
2019
Backward stochastic differential equations with jumps involving a subdifferential operator. Zbl 0973.60070
N’zi, M.; Ouknine, Y.
2000
Boundary-value problems for equations of mathematical physics with strictly Orlicz random initial conditions. Zbl 0836.35165
de la Krus, E. Barrasa; Kozachenko, Yu. V.
1995
Moments of the number of solutions of a system of random Boolean equations. Zbl 0842.60009
Masol, V. I.
1993
Spectral properties of the scaling limit solutions of the Burgers’ equation with singular data. Zbl 0866.35147
Leonenko, N. N.; Parkhomenko, V. N.; Woyczynski, W. A.
1996
Martingale problem approach to the representations of the Navier-Stokes equations on smooth-boundary manifolds and semispace. Zbl 1051.60045
Rapoport, Diego L.
2003
Semicircle law for random matrices of long-range percolation model. Zbl 1224.15069
2009
The stochastic maximum principle in optimal control of degenerate diffusions with non-smooth coefficients. Zbl 1224.93131
Chighoub, Farid; Djehiche, Boualem; Mezerdi, Brahim
2009
Sum of the sample autocorrelation function. Zbl 1224.62056
Hassani, Hossein
2009
Some procedures for extending random operators. Zbl 1224.60166
Thang, Dang Hung; Cuong, Tran Manh
2009
BSDEs driven by infinite dimensional martingales and their applications to stochastic optimal control. Zbl 1266.60099
Al-Hussein, AbdulRahman
2011
Almost sure asymptotic stability and convergence of stochastic theta methods applied to systems of linear SDEs in $$\mathbb R^d$$. Zbl 1268.65009
Schurz, Henri
2011
Semi-linear diffusion in $$\mathbb R^D$$ and in Hilbert spaces, a Feynman-Wiener path integral study. Zbl 1302.35421
Botelho, Luiz C. L.
2011
Rate of convergence of Euler approximations of solution to mixed stochastic differential equation involving Brownian motion and fractional Brownian motion. Zbl 1290.60069
Mishura, Yuliya S.; Shevchenko, Georgiy M.
2011
Random fixed points of completely random operators. Zbl 1270.60072
Thang, Dang Hung; Anh, Pham The
2012
The generalized circular law. Zbl 1278.15040
Girko, Vyacheslav
2012
The generalized elliptic law. Zbl 1276.15018
Girko, Vyacheslav
2013
The $$V$$-density of eigenvalues of non symmetric random matrices and rigorous proof of the strong circular law. Zbl 0894.15011
Girko, V. L.
1997
Convergence rate of the expected spectral functions of symmetric random matrices is equal to $$O(n^{-1/2})$$. Zbl 0912.60004
Girko, V. L.
1998
On estimation of regression coefficients of long memory random fields observed on the arrays. Zbl 0921.62124
Leonenko, N. N.; Benšić, M.
1998
Existence results for a class of random delay integrodifferential equations. Zbl 1470.45019
Diop, Amadou; Diop, Mamadou Abdul; Ezzinbi, K.
2021
VICTORIA transform, RESPECT and REFORM methods for the proof of the $$G$$-permanent pencil law under $$G$$-Lindeberg condition for some random matrices from $$G$$-elliptic ensemble. Zbl 1477.60019
Girko, Vyacheslav L.
2021
About classical solutions of the path-dependent heat equation. Zbl 1457.60106
Di Girolami, Cristina; Russo, Francesco
2020
BSDE with rcll reflecting barrier driven by a Lévy process. Zbl 1457.60089
El Jamali, Mohamed; El Otmani, Mohamed
2020
Predictable solution for reflected BSDEs when the obstacle is not right-continuous. Zbl 1457.60090
Marzougue, Mohamed; El Otmani, Mohamed
2020
Nonparametric estimation of trend for stochastic differential equations driven by sub-fractional Brownian motion. Zbl 1443.62237
Prakasa Rao, B. L. S.
2020
An optimal control of a risk-sensitive problem for backward doubly stochastic differential equations with applications. Zbl 1433.93155
Hafayed, Dahbia; Chala, Adel
2020
Lebesgue structure of asymmetric Bernoulli convolution based on Jacobsthal-Lucas sequence. Zbl 1447.60074
Pratsiovytyi, Mykola; Makarchuk, Oleg; Karvatsky, Dmytro
2020
VICTORIA transform, RESPECT and REFORM methods for the proof of the $$G$$-elliptic law under $$G$$-Lindeberg condition and twice stochastic condition for the variances and covariances of the entries of some random matrices. Zbl 1447.60020
Girko, Vyacheslav L.
2020
BSDEs with right upper-semicontinuous reflecting obstacle and stochastic Lipschitz coefficient. Zbl 1412.60096
Marzougue, Mohamed; El Otmani, Mohamed
2019
Existence theory of fractional coupled differential equations via $$\Psi$$-Hilfer fractional derivative. Zbl 1442.34014
Harikrishnan, Sugumaran; Shah, Kamal; Kanagarajan, Kuppusamy
2019
Random Schrödinger operators with a background potential. Zbl 1439.35146
Asatryan, Hayk; Kirsch, Werner
2019
Continuous distributions whose functions preserve tails of an $$A$$-continued fraction representation of numbers. Zbl 1442.11114
Pratsiovytyi, Mykola; Chuikov, Artem
2019
RAP-method (random perturbation method) for finding $$S$$-minimax control vectors and parameter estimates for some linear systems with random coefficients. Zbl 1433.65059
Vladimirova, A. I.; Girko, Vyacheslav L.; Shevchuk, L. D.
2019
Wegner estimate for discrete Schrödinger operators with Gaussian random potentials. Zbl 1416.82019
Tautenhahn, Martin
2019
A general maximum principle for mean-field forward-backward doubly stochastic differential equations with jumps processes. Zbl 1414.93202
Hafayed, Dahbia; Chala, Adel
2019
Inverting weak random operators. Zbl 1412.60136
Gutierrez-Pavón, Jonathan; Pacheco, Carlos G.
2019
The limit $$G$$-law for the solutions of systems of linear algebraic equations with independent random coefficients under the $$G$$-Lindeberg condition. Zbl 1423.15003
Girko, Vyacheslav L.
2019
Sampling distributions of skew normal populations associated with closed skew normal distributions. Zbl 1427.62045
Zhu, Xiaonan; Li, Baokun; Wang, Tonghui; Gupta, Arjun K.
2019
On the limiting spectral density of random matrices filled with stochastic processes. Zbl 1447.60026
Löwe, Matthias; Schubert, Kristina
2019
From the first rigorous proof of the circular law in 1984 to the circular law for block random matrices under the generalized Lindeberg condition. Zbl 1388.15032
Girko, Vyacheslav L.
2018
A multi-class extension of the mean field Bolker-Pacala population model. Zbl 1397.92560
Bessonov, Mariya; Molchanov, Stanislav; Whitmeyer, Joseph
2018
The method of perpendiculars of finding estimates from below for minimal singular eigenvalues of random matrices. Zbl 1390.15029
Girko, Vyacheslav L.
2018
The inverse tangent law for the solutions of systems of linear algebraic equations with independent random coefficients is proven under Linderberg’s condition. Zbl 1393.15005
Girko, Vyacheslav L.; Shevchuk, Larissa D.
2018
Probabilistic $$p$$-cyclic contractions using different types of $$t$$-norms. Zbl 1486.54054
Choudhury, Binayak S.; Bhandari, Samir Kumar; Saha, Parbati
2018
Some existence results and stability concepts for partial fractional random integral equations with multiple delay. Zbl 1384.34006
Abbas, Saïd; Benchohra, Mouffak; Darwish, Mohamed Abdalla
2018
Fractional anticipated BSDEs with stochastic Lipschitz coefficients. Zbl 1401.60105
Sow, Ahmadou Bamba; Diouf, Bassirou Kor
2018
Backward doubly SDEs with continuous and stochastic linear growth coefficients. Zbl 1401.60116
Owo, Jean Marc
2018
The stationary regions for the parameter space of unilateral second-order spatial AR model. Zbl 1401.62187
Mojiri, A.; Waghei, Y.; Nili Sani, H. R.; Mohtashami Borzadaran, G. R.
2018
Distribution of values of classic singular Cantor function of random argument. Zbl 1440.11147
Pratsiovytyi, Mykola; Lysenko, Iryna; Voitovska, Oksana
2018
Interaction of particles governed by generalized integrated telegraph processes. Zbl 1404.60153
Pogorui, A. A.; Rodríguez-Dagnino, R. M.
2018
Some deterministic and random fixed point theorems on a graph. Zbl 07000597
Nieto, Juan J.; Ouahab, Abdelghani; Rodríguez-López, Rosana
2018
Stochastic non-resistive magnetohydrodynamic system with Lévy noise. Zbl 1372.76030
Manna, Utpal; Mohan, Manil T.; Sritharan, Sivaguru S.
2017
Parametric estimation for linear stochastic differential equations driven by sub-fractional Brownian motion. Zbl 06815262
Prakasa Rao, B. L. S.
2017
Itô formula for mild solutions of SPDEs with Gaussian and non-Gaussian noise and applications to stability properties. Zbl 1370.60101
Albeverio, Sergio; Gawarecki, Leszek; Mandrekar, Vidyadhar; Rüdiger, Barbara; Sarkar, Barun
2017
Smoothness of Malliavin derivatives and dissipativity of solutions to two-dimensional micropolar fluid system. Zbl 1375.35412
Yamazaki, Kazuo
2017
Wave equation with a coloured stable noise. Zbl 1386.60224
Pryhara, Larysa; Shevchenko, Georgiy
2017
New exact solutions for the Wick-type stochastic Zakharov-Kuznetsov equation for modelling waves on shallow water surfaces. Zbl 1365.60061
Saha Ray, S.; Singh, S.
2017
On the stability of solutions to stochastic 2D $$g$$-Navier-Stokes equations with finite delays. Zbl 1379.35237
Cung The Anh; Nguyen Van Thanh; Nguyen Viet Tuan
2017
Goodness-of-fit tests for random sequences incorporating several components. Zbl 1360.62440
Ianevych, Tetiana O.; Kozachenko, Yuriy V.; Troshki, Viktor B.
2017
Deterministic and stochastic stability of an SIRS epidemic model with a saturated incidence rate. Zbl 1358.92093
N&rsquo;zi, Modeste; Tano, Jacques
2017
$$\gamma$$-product of white noise space and applications. Zbl 1391.46049
Horrigue, Samah
2017
Random fixed point theorem in generalized Banach space and applications. Zbl 1380.47043
Sinacer, Moulay Larbi; Nieto, Juan Jose; Ouahab, Abdelghani
2016
Exponential stability for stochastic neutral functional differential equations driven by Rosenblatt process with delay and Poisson jumps. Zbl 1338.60159
Lakhel, El Hassan
2016
Numerical study of stochastic Volterra-Fredholm integral equations by using second kind Chebyshev wavelets. Zbl 1338.60173
2016
Berry-Esseen bounds and almost sure CLT for the quadratic variation of the bifractional Brownian motion. Zbl 1335.60017
Aazizi, Soufiane; Es-Sebaiy, Khalifa
2016
Quadratic forms of refined skew normal models based on stochastic representation. Zbl 1375.60051
Tian, Weizhong; Wang, Tonghui
2016
On the functional Hodrick-Prescott filter with non-compact operators. Zbl 1332.62114
Djehiche, Boualem; Hilbert, Astrid; Nassar, Hiba
2016
Canonical equations $$K_{62}$$, $$K_{63}$$, $$K_{64}$$ and $$K_{65}$$ for random non-Hermitian matrices $$A+B(U+\gamma H)C$$, the upturned stools law, the upturned stool without seat law and doughnut law density. Zbl 1334.15095
Girko, Vyacheslav L.
2016
Global analysis of a deterministic and stochastic nonlinear SIRS epidemic model with saturated incidence rate. Zbl 1360.92112
N&rsquo;zi, Modeste; Kanga, Gérard
2016
Time varying axially symmetric vector random fields on the sphere. Zbl 1353.60048
Ma, Chunsheng
2016
Stability of fractional neutral stochastic partial integro-differential equations. Zbl 1351.60076
Xu, Liping; Li, Zhi
2016
Tightness in Besov-Orlicz spaces: characterizations and applications. Zbl 1355.46029
Aissa, Sghir
2016
One-dimensional stochastic equations in layered media with semi-permeable barriers. Zbl 1347.60071
Makhno, Sergei Y.
2016
30 years of general statistical analysis and canonical equation $$K_{60}$$ for Hermitian matrices $$(A+BUC)(A+BUC)^*$$, where $$U$$ is a random unitary matrix. Zbl 1329.15069
Girko, Vyacheslav L.
2015
On the law of the solution to a stochastic heat equation with fractional noise in time. Zbl 1327.60123
Bourguin, Solesne; Tudor, Ciprian A.
2015
A decomposition approach for the discrete-time approximation of FBSDEs with a jump. Zbl 1318.65005
Kharroubi, Idris; Lim, Thomas
2015
Parametrix construction for certain Lévy-type processes. Zbl 1321.60150
Knopova, Victoria; Kulik, Alexei
2015
Large deviations for random evolutions with independent increments in the scheme of Lévy approximation with split and double merging. Zbl 1321.60052
Samoilenko, Igor V.
2015
Asymptotic behavior of the Bernoulli type Galton-Watson branching process with immigration. Zbl 1327.60169
Uchimura, Yoshinori; Saitô, Kimiaki
2015
Optimal control for stochastic differential delay equations with Poisson jumps and applications. Zbl 1307.93465
Shi, Jingtao
2015
New inequalities of Gronwall type for the stochastic differential equations. Zbl 1327.60116
Boudref, Mohamed-Ahmed; Berboucha, Ahmed
2015
On distribution of the norm of deviation of a sub-Gaussian random process in Orlicz spaces. Zbl 1327.60092
Yamnenko, Rostyslav E.
2015
On the Lie structure of zero row sum and related matrices. Zbl 1329.15067
Boukas, Andreas; Feinsilver, Philip; Fellouris, Anargyros
2015
Canonical equation $$K_{61}$$ for random non-Hermitian matrices $$A+B(U+\gamma H)C$$. Zbl 1329.15070
Girko, Vyacheslav L.
2015
Evaluation of a generalized Selberg integral. Zbl 1309.33007
Nagar, Daya K.; Naranjo-Ríos, Sandra Milena; Gupta, Arjun K.
2015
Probabilistic representations of matrix variate skew normal models. Zbl 1310.62065
Ning, Wei
2015
On the rigorous ergodic theorem for a class of nonlinear Klein-Gordon wave propagations. Zbl 1307.35154
Botelho, Luiz C. L.
2015
The distribution of random motion with Erlang-3 sojourn times. Zbl 1328.60228
Kolomiiets, Tamila; Pogorui, Anatoliy A.; Rodríguez-Dagnino, Ramón M.
2015
Fully coupled forward backward stochastic differential equations driven by Lévy processes and application to differential games. Zbl 1300.60073
Baghery, Fouzia; Khelfallah, Nabil; Mezerdi, Brahim; Turpin, Isabelle
2014
Quantum white noise convolution operators with application to differential equations. Zbl 1329.60241
Barhoumi, Abdessatar; Lanconelli, Alberto; Rguigui, Hafedh
2014
Existence and exponential stability for some stochastic neutral partial functional integrodifferential equations. Zbl 1293.35371
Diop, Mamadou Abdou; Ezzinbi, Khalil; Lo, Modou
2014
Mixed sub-fractional Brownian motion. Zbl 1296.60095
Zili, Mounir
2014
Gegenbauer random fields. Zbl 1354.60041
Espejo, Rosa M.; Leonenko, Nikolai N.; Ruiz-Medina, María D.
2014
Existence and stability of square-mean almost periodic solutions to a spatially extended neural network with impulsive noise. Zbl 1330.37072
Bonaccorsi, Stefano; Ziglio, Giacomo
2014
The Cauchy problem for the heat equation with a random right side. Zbl 1284.35205
Kozachenko, Yuriy V.; Slyvka-Tylyshchak, Anna I.
2014
Optimal control problems for linear backward doubly stochastic differential equations. Zbl 1320.49010
Gherbal, Boulakhras
2014
Stochastic controls of relaxed-singular problems. Zbl 1292.93146
Chala, Adel; Bahlali, Seid
2014
On fractional derivatives of the local time of a symmetric stable process as a doubly indexed process. Zbl 1297.60055
Ait Ouahra, Mohamed; Kissami, Abdelghani; Ouahhabi, Hanae
2014
Large deviation for multivalued backward stochastic differential equations. Zbl 1295.60035
N&rsquo;Zi, Modeste; Dakaou, Ibrahim
2014
Intrinsic small time estimates for distribution densities of Lévy processes. Zbl 1291.60095
Knopova, Victoria; Kulik, Alexei
2013
$$L^p$$-solutions of the stochastic transport equation. Zbl 1270.60070
Catuogno, Pedro; Olivera, Christian
2013
Two-dimensional stochastic Navier-Stokes equations with fractional Brownian noise. Zbl 1271.60072
Fang, Liqun; Sundar, P.; Viens, Frederi G.
2013
Representations of multidimensional linear process bridges. Zbl 1391.60179
Barczy, Mátyás; Kern, Peter
2013
The generalized elliptic law. Zbl 1276.15018
Girko, Vyacheslav
2013
A note on Feynman-Kac path integral representations for scalar wave motions. Zbl 1276.35113
Botelho, Luiz C. L.
2013
Topological and metric properties of distributions of random variables represented by the alternating Lüroth series with independent elements. Zbl 1362.60005
Pratsiovytyi, Mykola; Khvorostina, Yuriy
2013
Parameter estimation of one-dimensional diffusion process by minimum Hellinger distance method. Zbl 1281.62177
N&rsquo;drin, Julien Apala; Hili, Ouagnina
2013
The circular law. Thirty years later. Zbl 1278.15041
Girko, Vyacheslav L.
2012
Backward parabolic Ito equations and the second fundamental inequality. Zbl 1273.60075
Dokuchaev, Nikolai
2012
Reflected backward doubly stochastic differential equations with discontinuous generator. Zbl 1284.60113
Aman, Auguste; Owo, Jean Marc
2012
High moments of large Wigner random matrices and asymptotic properties of the spectral norm. Zbl 1270.15025
Khorunzhiy, Oleksiy
2012
The relaxed optimal control problem of forward-backward stochastic doubly systems with Poisson jumps and its application to LQ problem. Zbl 1263.93235
2012
Matrix variate extended skew normal distributions. Zbl 1349.62183
Ning, Wei; Gupta, Arjun K.
2012
Random fixed points of completely random operators. Zbl 1270.60072
Thang, Dang Hung; Anh, Pham The
2012
The generalized circular law. Zbl 1278.15040
Girko, Vyacheslav
2012
The elliptic law. Thirty years later. Zbl 1298.60015
Girko, Vyacheslav
2012
Random fixed point theorems for a finite family of asymptotically quasi-nonexpansive in the intermediate sense random operators. Zbl 1270.47051
Saluja, Gurucharan Singh; Nashine, Hemant Kumar
2012
Almost sure exponential stability of the Euler-Maruyama approximations for stochastic functional differential equations. Zbl 1276.60063
Wu, Fuke; Mao, Xuerong; Kloeden, Peter E.
2011
Strong uniform consistency of a nonparametric estimator of a conditional quantile for censored dependent data and functional regressors. Zbl 1348.62169
Horrigue, Walid; Ould Saïd, Elias
2011
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### Cited by 1,299 Authors

 24 Gupta, Arjun Kumar 22 Leonenko, Nikolai N. 20 Nadarajah, Saralees 19 Girko, Vyacheslav Leonidovich 18 Kozachenko, Yuriĭ Vasyl’ovych 14 Kondrat’yev, Yuriĭ Grygorovych 14 Prakasa Rao, B. L. S. 13 Veselić, Ivan 12 Albeverio, Sergio A. 12 Rodríguez-Dagnino, Ramón Martín 11 Pogorui, Anatoliy A. 11 Russo, Francesco 11 Tudor, Ciprian A. 10 Accardi, Luigi 10 Bahlali, Khaled 10 Kumam, Poom 9 El Otmani, Mohamed 9 Finkelshteĭn, Dmitriĭ Leonidovich 9 Klopp, Frédéric 9 Kulik, Alexey M. 9 Mezerdi, Brahim 9 Orsingher, Enzo 9 Sakhno, Lyudmyla Mykhaĭlivna 8 Chala, Adel 8 Daletskii, Alexei 8 Marzougue, Mohamed 8 Yuan, Chenggui 7 Bao, Jianhai 7 Evstigneev, Igor V. 7 Fujikoshi, Yasunori 7 Kutoviy, Oleksandr V. 7 Ratanov, Nikita 7 Rguigui, Hafedh 7 Rozora, Iryna V. 7 Scheutzow, Michael K. R. 6 Anh, Vo V. 6 De Gregorio, Alessandro 6 Djehiche, Boualem 6 Dokuchaev, Nikolai G. 6 He, Yukun 6 Martinucci, Barbara 6 Molchanov, Stanislav Alekseevich 6 Olenko, Andriy Yakovych 6 Olivera, Christian 6 Ouahab, Abdelghani 6 Pratsiovytyi, Mykola 6 Saha Ray, Santanu 6 Tikhomirov, Alexander Nikolaevich 6 Viens, Frederi G. 6 Withers, Christopher Stroude 5 Anguraj, Annamalai 5 Chafaï, Djalil 5 Cranston, Michael Craig 5 Dshalalow, Jewgeni H. 5 Götze, Friedrich 5 Grzywny, Tomasz 5 Hausenblas, Erika 5 Khelfallah, Nabil 5 Knopova, Victoria Pavlovna 5 Lytvynov, Eugene W. 5 Manna, Utpal 5 Mohan, Manil Thankamani 5 Mukherjee, Debopriya 5 Nieto Roig, Juan Jose 5 O’Rourke, Sean D. 5 Privault, Nicolas 5 Ravikumar, Kasinathan 5 Shevchenko, Georgiy M. 5 Shutoh, Nobumichi 5 Tao, Terence 5 Tindel, Samy 5 Vu, Van H. 5 Wang, Feng-Yu 5 Wang, Tonghui 5 Wang, Xiangrong 5 Yamnenko, Rostyslav E. 5 Zhang, Xicheng 4 Al-Hussein, Abdulrahman 4 Barhoumi, Abdessatar 4 Bishwal, Jaya P. N. 4 Bodnar, Taras 4 Bordenave, Charles 4 Borisov, Denis Ivanovich 4 Chen, Zhen-Qing 4 Di Crescenzo, Antonio 4 El-Bassiouny, Ahmed H. 4 Erdős, László 4 Hafayed, Mokhtar 4 Huang, Hong 4 Ivanov, Aleksandr Vladimirovich 4 Kadankov, Viktor F. 4 Kadankova, Tat’yana V. 4 Kirsch, Werner 4 Knowles, Antti 4 Kotz, Samuel 4 Kumam, Wiyada 4 Li, Zhi 4 Mao, Xuerong 4 Mishura, Yuliya Stepanivna 4 Owo, Jean-Marc ...and 1,199 more Authors
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### Cited in 286 Journals

 73 Random Operators and Stochastic Equations 41 Stochastic Processes and their Applications 30 Statistics & Probability Letters 30 Theory of Probability and Mathematical Statistics 29 Stochastic Analysis and Applications 27 Communications in Statistics. Theory and Methods 23 Journal of Theoretical Probability 21 Journal of Statistical Physics 19 Journal of Mathematical Analysis and Applications 19 Journal of Multivariate Analysis 19 Probability Theory and Related Fields 17 The Annals of Probability 16 Journal of Functional Analysis 15 Journal of Statistical Planning and Inference 15 Stochastics and Dynamics 14 Stochastics 13 Communications in Mathematical Physics 13 Applied Mathematics and Computation 12 Journal of Differential Equations 12 Statistics 12 Modern Stochastics. Theory and Applications 10 The Annals of Applied Probability 9 Bernoulli 8 Journal of Mathematical Physics 8 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 8 Journal of Mathematical Sciences (New York) 8 Monte Carlo Methods and Applications 8 Discrete and Continuous Dynamical Systems 8 Infinite Dimensional Analysis, Quantum Probability and Related Topics 8 Methodology and Computing in Applied Probability 7 Lithuanian Mathematical Journal 7 Ukrainian Mathematical Journal 7 Journal of Applied Probability 7 Journal of Computational and Applied Mathematics 7 Transactions of the American Mathematical Society 7 Cybernetics and Systems Analysis 7 Electronic Journal of Probability 7 Brazilian Journal of Probability and Statistics 6 Applied Mathematics and Optimization 6 Acta Applicandae Mathematicae 6 Communications in Statistics. Simulation and Computation 6 Potential Analysis 5 Reports on Mathematical Physics 5 Chaos, Solitons and Fractals 5 Abstract and Applied Analysis 5 Acta Mathematica Sinica. English Series 5 Stochastic Models 5 Advances in Difference Equations 5 Afrika Matematika 5 Stochastic and Partial Differential Equations. Analysis and Computations 4 Applicable Analysis 4 Computers & Mathematics with Applications 4 Letters in Mathematical Physics 4 Physica A 4 Advances in Mathematics 4 Duke Mathematical Journal 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Physica D 4 Sequential Analysis 4 Statistical Papers 4 NoDEA. Nonlinear Differential Equations and Applications 4 Mathematical Problems in Engineering 4 Mathematical Physics, Analysis and Geometry 4 Annales Henri Poincaré 4 Dynamical Systems 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Fixed Point Theory and Applications 4 ALEA. Latin American Journal of Probability and Mathematical Statistics 4 International Journal of Stochastic Analysis 4 Random Matrices: Theory and Applications 4 Communications in Mathematics and Statistics 4 Carpathian Mathematical Publications 3 Advances in Applied Probability 3 International Journal of Control 3 Reviews in Mathematical Physics 3 Journal of Geometry and Physics 3 Annals of the Institute of Statistical Mathematics 3 Proceedings of the American Mathematical Society 3 Applied Mathematics Letters 3 Mathematical and Computer Modelling 3 Numerical Algorithms 3 Journal of Statistical Computation and Simulation 3 Linear Algebra and its Applications 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Annales Mathématiques Blaise Pascal 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 3 Matematychni Studiï 3 International Journal of Theoretical and Applied Finance 3 Statistical Inference for Stochastic Processes 3 Journal of Systems Science and Complexity 3 Central European Journal of Mathematics 3 Foundations of Physics 3 Journal of Statistical Theory and Practice 3 Nonlinear Analysis. Hybrid Systems 3 Sankhyā. Series A 3 Evolution Equations and Control Theory 3 AIMS Mathematics 2 International Journal of Theoretical Physics 2 Mathematical Notes ...and 186 more Journals
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### Cited in 50 Fields

 780 Probability theory and stochastic processes (60-XX) 222 Statistics (62-XX) 167 Partial differential equations (35-XX) 103 Operator theory (47-XX) 90 Linear and multilinear algebra; matrix theory (15-XX) 87 Statistical mechanics, structure of matter (82-XX) 79 Systems theory; control (93-XX) 64 Numerical analysis (65-XX) 58 Ordinary differential equations (34-XX) 48 Calculus of variations and optimal control; optimization (49-XX) 41 Quantum theory (81-XX) 40 Dynamical systems and ergodic theory (37-XX) 40 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 32 Fluid mechanics (76-XX) 31 Functional analysis (46-XX) 22 Real functions (26-XX) 21 Global analysis, analysis on manifolds (58-XX) 19 Special functions (33-XX) 18 General topology (54-XX) 16 Measure and integration (28-XX) 16 Integral equations (45-XX) 13 Biology and other natural sciences (92-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 Operations research, mathematical programming (90-XX) 9 Number theory (11-XX) 9 Approximations and expansions (41-XX) 8 Combinatorics (05-XX) 8 Information and communication theory, circuits (94-XX) 7 Potential theory (31-XX) 6 Computer science (68-XX) 4 Functions of a complex variable (30-XX) 4 Mechanics of particles and systems (70-XX) 4 Relativity and gravitational theory (83-XX) 3 History and biography (01-XX) 3 Differential geometry (53-XX) 3 Geophysics (86-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Difference and functional equations (39-XX) 2 Sequences, series, summability (40-XX) 2 Integral transforms, operational calculus (44-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Abstract harmonic analysis (43-XX) 1 Classical thermodynamics, heat transfer (80-XX)