Prof. Dmitry Belyaev
PhD
Status
Academic Faculty
University Lecturer in Analysis Tutorial Fellow at St. Anne's College
Research groups
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Recent books
Recent publications
Coupling of stationary fields with application to arithmetic waves
Beliaev, D Maffucci, R Stochastic Processes and their Applications volume 151 436-450 (01 Sep 2022) Gaussian fields and percolation
Beliaev, D (27 Jul 2022) http://arxiv.org/abs/2207.13448v1 Intermediate and small scale limiting theorems for random fields
Beliaev, D Maffucci, R COMMUNICATIONS IN NUMBER THEORY AND PHYSICS volume 16 issue 1 1-34 (01 Jan 2022) Russo–Seymour–Welsh estimates for the Kostlan ensemble of random polynomials
Belyaev, D Muirhead, S Wigman, I Annales de l'Institut Henri Poincaré, Probabilités et Statistiques volume 57 issue 4 2189-2218 (20 Oct 2021) Russo-Seymour-Welsh estimates for the Kostlan ensemble of random polynomials
Belyaev, D Muirhead, S Wigman, I (17 Dec 2020) Highlighted publications
A covariance formula for topological events of smooth Gaussian fields
Beliaev, D Muirhead, S Rivera, A Annals of Probability (20 Oct 2020) On the number of excursion sets of planar Gaussian fields
Beliaev, D McAuley, M Muirhead, S Probability Theory and Related Fields (06 Jul 2020) How anisotropy beats fractality in two-dimensional on-lattice diffusion-limited-aggregation growth
Grebenkov, D Belyaev, D Physical Review E volume 96 issue 4 (30 Oct 2017) Two point function for critical points of a random plane wave
Beliaev, D Cammarota, V Wigman, I International Mathematics Research Notices volume 2019 issue 9 2661-2689 (31 Aug 2017) Integral means spectrum of whole-plane SLE
Beliaev, D Duplantier, B Zinsmeister, M Communications in Mathematical Physics volume 353 issue 1 119-133 (07 Apr 2017) Research interests
I work in Complex Analysis (geometric function theory, fine structure of harmonic measure) and Probability (Schramm-Loewner Evolution, random functions, random growth models)