### Recent Submissions

• #### Wildland fire propagation modeling: fire-spotting parametrisation and energy balance ﻿

(Proceedings of the 17th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2017, pp. 805 - 813, 2017-07-04)
Present research concerns the physical background of a wild-fire propagation model based on the split of the front motion into two parts - drifting and fluctuating. The drifting part is solved by the level set method and ...
• #### Wildland fire propagation modelling ﻿

(MODELLING FOR ENGINEERING AND HUMAN BEHAVIOUR 2017 Extended abstract, 2017-12)
Wildfire propagation modelling is a challenging problem due to its complex multi-scale multi-physics nature. This process can be described by a reaction- diffusion equation based on the energy balance principle. Alternative ...
• #### Front Curvature Evolution and Hydrodynamics Instabilities ﻿

(Proceedings/Extended Abstract Book (6 pages) of the XXXX Meeting of the Italian Section of the Combustion Institute, Rome, Italy, 2017-06-07)
It is known that hydrodynamic instabilities in turbulent premixed combustion are described by the Michelson-Sivashinsky (MS) equation. A model of the flame front propagation based on the G-equation and on stochastic ...
• #### Topology of Spaces of Valuations and Geometry of Singularities ﻿

(Transactions of the AMS - American Mathematical Society, 2017-11-11)
Given an algebraic variety X defined over an algebraically closed field, we study the space RZ(X,x) consisting of all the valuations of the function field of X which are centered in a closed point x of X. We concentrate ...
• #### A proof of the integral identity conjecture, II ﻿

(Comptes Rendus Mathematique, 2017-10-31)
In this note, using Cluckers-Loeser’s theory of motivic integration, we prove the integral identity conjecture with framework a localized Grothendieck ring of varieties over an arbitrary base field of characteristic zero.
• #### Universal bounds for large determinants from non-commutative Hölder inequalities in fermionic constructive quantum field theory ﻿

(Mathematical Models and Methods in Applied Sciences (M3AS), 2017-08-02)
Efficiently bounding large determinants is an essential step in non-relativistic fermionic constructive quantum field theory to prove the absolute convergence of the perturbation expansion of correlation functions in terms ...
• #### Numerical valuation of two-asset options under jump diffusion models using Gauss-Hermite quadrature ﻿

(Journal of Computational and Applied Mathematics, 2017-04-19)
In this work a finite difference approach together with a bivariate Gauss–Hermite quadrature technique is developed for partial integro-differential equations related to option pricing problems on two underlying asset ...
• #### From G - Equation to Michelson - Sivashinsky Equation in Turbulent Premixed Combustion Modelling ﻿

(Proceedings/Extended Abstract Book (6 pages) of the XXXIX Meeting of the Italian Section of the Combustion Institute, Naples, Italy, 2017-06-20)
It is well known that the Michelson-Sivashinky equation describes hydrodynamic instabilities in turbulent premixed combustion. Here a formulation of the flame front propagation based on the G-equation and on stochastic ...
• #### Darrieus-Landau instabilities in the framework of the G-equation ﻿

(Digital proceedings of the 8th European Combustion Meeting, 18-21 April 2017, Dubrovnik, Croatia, 2017-04)
We consider a model formulation of the flame front propagation in turbulent premixed combustion based on stochastic fluctuations imposed to the mean flame position. In particular, the mean flame motion is described by ...
• #### Representation of surface homeomorphisms by tête-à-tête graphs ﻿

(2017-06-21)
We use tête-à-tête graphs as defined by N. A'campo and extended versions to codify all periodic mapping classes of an orientable surface with non-empty boundary, improving work of N. A'Campo and C. Graf. We also introduce ...
• #### Non-normal affine monoids, modules and Poincaré series of plumbed 3-manifolds ﻿

(Acta Mathematica Hungarica, 2017-05-18)
We construct a non-normal affine monoid together with its modules associated with a negative definite plumbed 3-manifold M. In terms of their structure, we describe the $H_1(M,\mathbb{Z})$-equivariant parts of the topological ...
• #### On intersection cohomology with torus actions of complexity one ﻿

(Revista Matemática Completense, 2017-05-20)
The purpose of this article is to investigate the intersection cohomology for algebraic varieties with torus action. Given an algebraic torus T, one of our result determines the intersection cohomology Betti numbers of ...
• #### Euler reflexion formulas for motivic multiple zeta functions ﻿

(Journal of Algebraic Geometry, 2017-05-14)
We introduce a new notion of $\boxast$-product of two integrable series with coefficients in distinct Grothendieck rings of algebraic varieties, preserving the integrability of and commuting with the limit of rational ...
• #### Isotropic Bipolaron-Fermion-Exchange Theory and Unconventional Pairing in Cuprate Superconductors ﻿

(2017-05-03)
The discovery of high-temperature superconductors in 1986 represented a major experimental breakthrough (Nobel Prize 1987), but their theoretical explanation is still a subject of much debate. These materials have many ...
• #### Logarithmic connections on principal bundles over a Riemann surface ﻿

(arxiv, 2017)
• #### A Short Survey on the Integral Identity Conjecture and Theories of Motivic Integration ﻿

(Acta Mathematica Vietnamica, 2017-04-04)
In Kontsevich-Soibelman’s theory of motivic Donaldson-Thomas invariants for 3-dimensional noncommutative Calabi-Yau varieties, the integral identity conjecture plays a crucial role as it involves the existence of these ...
• #### The M-Wright function as a generalization of the Gaussian density for fractional diffusion processes ﻿

(Fractional Calculus and Applied Analysis, 2013-12-31)
The leading role of a special function of the Wright-type, referred to as M-Wright or Mainardi function, within a parametric class of self-similar stochastic processes with stationary increments, is surveyed. This class ...
• #### Two-particle anomalous diffusion: Probability density functions and self-similar stochastic processes ﻿

(Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2013-12-31)
Two-particle dispersion is investigated in the context of anomalous diffusion. Two different modeling approaches related to time subordination are considered and unified in the framework of self-similar stochastic processes. ...
• #### Homogeneous singularity and the Alexander polynomial of a projective plane curve ﻿

(2017-12-10)
The Alexander polynomial of a plane curve is an important invariant in global theories on curves. However, it seems that this invariant and even a much stronger one the fundamental group of the complement of a plane curve ...