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Pré-Publication, Document De Travail Année : 2024

SPECTRAL ANALYSIS OF A SEMICLASSICAL RANDOM WALK ASSOCIATED TO A GENERAL CONFINING POTENTIAL

Résumé

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 [15]. Our approach consists in adapting the ideas from [15] to the recent gaussian quasimodes framework which appears to be more robust than the usual methods, especially when dealing with non local operators.
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Dates et versions

hal-04411972 , version 1 (23-01-2024)

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  • HAL Id : hal-04411972 , version 1

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Thomas Normand. SPECTRAL ANALYSIS OF A SEMICLASSICAL RANDOM WALK ASSOCIATED TO A GENERAL CONFINING POTENTIAL. 2024. ⟨hal-04411972⟩
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