Prof. Dmitry Belyaev

PhD

Status

Academic Faculty

University Lecturer in Analysis Tutorial Fellow at St. Anne's College

+44 1865 615154

Contact form

http://people.maths.ox.ac.uk/belyaev

ORCID iD

https://orcid.org/0000-0002-1725-4360

Research groups

Address

Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Recent books

Conformal maps and geometry Beliaev, D (19 Nov 2019)

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)