# Preprints

The Newton Institute has its own Preprint Series where the scientific papers of the Institute are freely available.

If you are a Cambridge author and you are submitting your work in the next REF then you will need to follow the guidelines on the University of Cambridge Open Access webpages to ensure that your work meets Open Access requirements. In addition, if you are supported by EPSRC or another UK Research Council, all publications published on/after 1st May 2015 need a statement describing how to access the underlying research data. For more information on this please see the University of Cambridge Research Data Management website www.data.cam.ac.uk

Newton Institute visitors are encouraged to submit relevant papers to the series. All papers must have been either completed at the Institute or based on work that took place partially or wholly at the Institute. You can still submit material to the preprint series even after your visit has ended as long as it is based on work that you did during your visit. Please send a PDF copy to preprints@newton.ac.uk, which will be added to the lists below.

Bound hard copies of all preprints in the series are displayed in the Institute. We would also be pleased to hear from former visitors who have since completed papers based on research carried out here.

Suggested text for acknowledgements: If you wish to acknowledge the support of the Institute in your paper you may wish to use the following text:

The author(s) would like to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, for support and hospitality during the programme [insert programme name] where work on this paper was undertaken.

Papers published in the Series are listed by date of submission and may be downloaded as PDFs. Individual hard copies can also be obtained on request from the Institute.

Programme Authors Title Attachments
CGP A Madzvamuse; AHW Chung The bulk-surface finite element method for reaction-diffusion systems on stationary volumes
PEP P Kuchment An overview of periodic elliptic operators
CGP A Madzvamuse; HS Ndakwo; R Barreira Stability analysis of reaction-diffusion models on evolving domains: the effects of cross-diffusion
PEP D Prandi; L Rizzi; M Seri A sub-Riemannian Santaló formula with applications to isoperimetric inequalities and Dirichlet spectral gap of hypoelliptic operators
PEP KD Cherednichenko Two-scale series expansions for travelling wave packets in one-dimensional periodic media
PEP TA Suslina Homogenization of nonstationary Schrödinger type equations with periodic coefficients
PEP A Pushnitski; D Yafaev Localization principle for compact Hankel operators
CGP S Grosskinsky; D Marahrens; A Stevens A hyrdrodynamic limit for chemotaxis in a given heterogeneous environment
PEP Y Karpeshina; Y-R Lee; R Shterenberg; G Stolz Ballistic transport for the Schrödinger operator with limit-periodic or quasi-periodic potential in dimension two
PEP T Sunada Exponential Riemann sums and "near" -quasicrystals
PEP J Griffin On the phase-space distribution of Bloch eigenmodes for periodic point scatterers
PEP M Kha; P Kuchment; A Raich Green's function asymptotics near the internal edges of spectra of periodic elliptic operators: spectral gap interior.
PEP J Marklof; B Tóth Invariance principle for the periodic Lorentz gas in the Boltzmann-Grad limit
PEP C Sadel Anderson transition at 2 dimensional growth rate on antitrees and spectral theory for operators with one propagating channel
RGM B Duplantier; H Ho; B Le; M Zinsmeister Logarithmic coefficients and generalized multifractality of whole-plane SLE
PEP V Chulaevsky Complete exponential localization in a discrete multi-particle Anderson model with interaction of infinite range
PEP I Kachkovskiy On transport properties of isotropic quasiperiodic $\it XY$ spin chains
RGM E Gwynne; X Sun Scaling limits for the critical Fortuin-Kastelyn model on a random planar map II: local estimates and empty reduced word exponent
PEP B Helffer Lower bound for the number of critical points of minimal spectral $\it k$-partitions for $\it k$ large.
PEP Y Almog; B Helffer; XB Pan Mixed normal-superconducting states in the presence of strong electric currents
PEP B Helffer; Y Kordyukov; N Raymond; S Vũ Ngọc Magnetic wells in dimension three
PEP H Abdul-Rahman; G Stolz A uniform area law for the entanglement of eigenstates in the disordered XY chain
PEP S Jitomirskaya; I Kachkovskiy $\it L$$^2-Reducibility and localization for quasiperiodic operators RGM L Addario-Berry; B Balle; G Perarnau Diameter and stationary distributions of random \it r-out digraphs PEP S Zhang Mixed spectral types for one frequency discrete quasi-periodic Schrödinger operator MLC A Humpert; MP Allen Propagating director bend fluctuations in nematic liquid crystals PEP DM Elton Asymptotics for Erdős-Solojev zero modes in strong fields PEP V Chulaevsky Efficient localization bounds in a continuous N-particle Anderson model with long-range interaction PEP V Chulaevsky Exponential scaling limit of the single-particle Anderson model via adaptive feedback scaling DAE W Li; DKJ Lin A note on foldover of 2^k$$^-$$^p$ designs with column permutations
PEP B Helffer; P Kerdelhué; J Royo-Letelier Chamber's forumla for the graphene and the Hou model with kagome periodicity and applications
PEP J Fillman; Y Takahash; W Yessen Mixed spectral regimes for square Fibonacci Hamiltonians
PEP B Helffer; A Kachmar From constant to non-degenerately vanishing magnetic fields in superconductivity
UMC MR Goddard; D Greig Saccharomyces cerevisiae: a nomadic yeast with no niche?
PEP M Levitin; M Seri Accumulation of complex eigenvalues of an indefinite Sturm-Liouville operator with a shifted Coulomb potential
RGM L Addario-Berry A probabilistic approach to block sizes in random maps
RGM L Addario-Berry; Y Wen Joint convergence of random quadrangulations and their cores
PEP YV Fyodorov; BA Khoruzhenko; NJ Simm Fractional Brownian motion with Hurst index H=0 and the Gaussian Unitary Ensemble
RGM L Addario-Berry The front location in BBM with decay of mass
MFE M Hernandez; T Ma; S Wang Theory of dark energy and dark matter