Exponential ergodicity for damping Hamiltonian dynamics with state-dependent and non-local collisions-Reference-Cited by-同舟云学术

Exponential ergodicity for damping Hamiltonian dynamics with state-dependent and non-local collisions

Published:2023-08-01 Issue:3 Volume:29 Page:
ISSN:1350-7265
Container-title:Bernoulli
language:
Short-container-title:Bernoulli

Author:

Bao Jianhai¹,Wang Jian²

Affiliation:

1. Center for Applied Mathematics, Tianjin University, 300072 Tianjin, P.R. China

2. School of Mathematics and Statistics & Fujian Key Laboratory of Mathematical Analysis and Applications (FJKLMAA) & Center for Applied Mathematics of Fujian Province (FJNU), Fujian Normal University, 350007 Fuzhou, P.R. China

Publisher

Bernoulli Society for Mathematical Statistics and Probability

Subject

Statistics and Probability

Reference26 articles.

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2. Eberle, A., Guillin, A. and Zimmer, R. (2019). Couplings and quantitative contraction rates for Langevin dynamics. Ann. Probab. 47 1982–2010. 10.1214/18-AOP1299

3. Andrieu, C., Durmus, A., Nüsken, N. and Roussel, J. (2021). Hypocoercivity of piecewise deterministic Markov process-Monte Carlo. Ann. Appl. Probab. 31 2478–2517. 10.1214/20-aap1653

4. Davis, M.H.A. (1993). Markov Models and Optimization. Monographs on Statistics and Applied Probability 49. London: CRC Press. 10.1007/978-1-4899-4483-2

5. Fearnhead, P., Bierkens, J., Pollock, M. and Roberts, G.O. (2018). Piecewise deterministic Markov processes for continuous-time Monte Carlo. Statist. Sci. 33 386–412. 10.1214/18-STS648

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