Tunnel effect for semiclassical random walks
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en
Article de revue
Este ítem está publicado en
Analysis & PDE. 2015, vol. 8, n° 2, p. 289–332
Mathematical Sciences Publishers
Resumen en inglés
We study a semiclassical random walk with respect to a probability measure with a finite number n_0 of wells. We show that the associated operator has exactly n_0 exponentially close to 1 eigenvalues (in the semiclassical ...Leer más >
We study a semiclassical random walk with respect to a probability measure with a finite number n_0 of wells. We show that the associated operator has exactly n_0 exponentially close to 1 eigenvalues (in the semiclassical sense), and that the other are O(h) away from 1. We also give an asymptotic of these small eigenvalues. The key ingredient in our approach is a general factorization result of pseudodifferential operators, which allows us to use recent results on the Witten Laplacian.< Leer menos
Palabras clave en inglés
Semiclassical analysis
Spectral theory
Probability
Proyecto ANR
Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020
Orígen
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