A Fourier approach to pathwise stochastic integration
Gubinelli, M Imkeller, P Perkowski, N (15 Oct 2014)
An introduction to singular SPDEs
Gubinelli, M Perkowski, N (10 Feb 2017)
On the regularity of stochastic currents, fractional Brownian motion and applications to a turbulence model
Flandoli, F Gubinelli, M Russo, F (04 Mar 2007)
A PANORAMA OF SINGULAR SPDES
GUBINELLI, M 2311-2338 (12 May 2019)
The $\Phi^4_3$ measure via Girsanov's theorem
Barashkov, N Gubinelli, M (03 Apr 2020)
Global dynamics for the two-dimensional stochastic nonlinear wave equations
Gubinelli, M Koch, H Oh, T Tolomeo, L (21 May 2020)
Lectures on singular stochastic PDEs
Gubinelli, M Perkowski, N Ensaios Matemáticos volume 29 issue 1 (2015)
New Directions in Rough Path Theory
Cass, T Crisan, D Friz, P Gubinelli, M Oberwolfach Reports volume 17 issue 4 1955-2019 (13 Sep 2021)
Computational model of cardiac cycle driven brain pulsation: a novel tool for brain disease exploration
Collier, A Haste, P Hayman, E Rezayaraghi, F Lam, T Waters, S Kurt, M Jerusalem, A Computers in Biology and Medicine volume 197 issue A (28 Aug 2025)
Tue, 11 Nov 2025
16:00
C3

Fixed Points of the Berezin Transform on Fock-Type Spaces

Ghazaleh Asghari
(University of Reading)
Abstract

We study the fixed points of the Berezin transform on the Fock-type spaces F^{2}_{m} with the weight e^{-|z|^{m}}, m > 0. It is known that the Berezin transform is well-defined on the polynomials in z and \bar{z}. In this talk from Ghazaleh Asghari from Reading University, we focus on the polynomial fixed points and we show that these polynomials must be harmonic, except possibly for countably many m \in (0,\infty). We also show that, in some particular cases, the fixed point polynomials are harmonic for all m.

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