Work

Spectral analysis of a semiclassical random walk associated to a general confining potential

Year: 2025

Type: article

Abstract: We consider a semiclassical random walk with respect to a probability measure associated to a potential with a finite number of critical points. We recover the spectral results from [1] on the corresponding operator in a more general setting and with improved accuracy. In particular we do not make any assumption on the distribution of the critical points of the potential, in the spirit of [14]. Our approach consists in adapting the ideas from [14] to the recent gaussian quasimodes framework which appears to be more robust than the usual methods, especially when dealing with non local operators.

Source: Annales de la faculté des sciences de Toulouse Mathématiques

DOI: 10.5802/afst.1832

Author: Thomas Normand

Institutions: École nationale des ponts et chaussées, CERMICS

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Agence Nationale de la Recherche

Award: Quantitative Analysis of Metastable Processes