Exponential Asymptotics for Time-Space Brownian Hamiltonians

In this paper, we investigate the long time asymptotics of the exponential moment of the time-space Brownian Hamiltonian, whose temporal kernel is a non-negative definite integrable function, and spatial kernel is a non-negative definite generalized function with homogeneity. Our work is a generalization of [M. D. Donsker and S. R. S. Varadhan, Asymptotics for the polaron, Comm. Pure Appl. Math. 36 (1983), no. 4, 505--528] on the asymptotics for the polaron.

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Publication Details

Journal
Stochastics and Dynamics
Published
2026-10-28
DOI
https://doi.org/10.1142/s0219493726500346
Primary Topic
Stochastic processes and statistical mechanics
Type
article
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article

Exponential Asymptotics for Time-Space Brownian Hamiltonians

Chengbo Sun
Stochastics and Dynamics
Stochastic processes and statistical mechanics
article

Exponential Asymptotics for Time-Space Brownian Hamiltonians

Chengbo Sun
article en

Abstract

In this paper, we investigate the long time asymptotics of the exponential moment of the time-space Brownian Hamiltonian, whose temporal kernel is a non-negative definite integrable function, and spatial kernel is a non-negative definite generalized function with homogeneity. Our work is a generalization of [M. D. Donsker and S. R. S. Varadhan, Asymptotics for the polaron, Comm. Pure Appl. Math. 36 (1983), no. 4, 505--528] on the asymptotics for the polaron.

Stochastics and Dynamics
Openalex Percentile: Top 7%
Stochastic processes and statistical mechanics
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Exponential Asymptotics for Time-Space Brownian Hamiltonians — Chengbo Sun · Stochastics and Dynamics (2026) | TGRS Research Map | TGRS