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Prof. Dmitry Belyaev

PhD
Status
Academic Faculty

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

Contact form
http://people.maths.ox.ac.uk/belyaev
+44 1865 615154
ORCID iD
https://orcid.org/0000-0002-1725-4360
Research groups
  • Stochastic Analysis
  • Functional Analysis

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)

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