Central limit theorem for Gibbs measures on path spaces including long range and singular interactions and homogenization of the stochastic heat equation-Reference-Cited by-同舟云学术

Central limit theorem for Gibbs measures on path spaces including long range and singular interactions and homogenization of the stochastic heat equation

Published:2022-06-01 Issue:3 Volume:32 Page:
ISSN:1050-5164
Container-title:The Annals of Applied Probability
language:
Short-container-title:Ann. Appl. Probab.

Author:

Mukherjee Chiranjib¹

Affiliation:

1. Department of Mathematics and Computer Science, University of Muenster

Publisher

Institute of Mathematical Statistics

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference49 articles.

1. BETZ, V. (2003). Existence of Gibbs measures relative to Brownian motion. Markov Process. Related Fields 9 85–102.

2. BETZ, V., HIROSHIMA, F., LŐRINCZI, J., MINLOS, R. A. and SPOHN, H. (2002). Ground state properties of the Nelson Hamiltonian: A Gibbs measure-based approach. Rev. Math. Phys. 14 173–198.

3. BETZ, V. and LŐRINCZI, J. (2003). Uniqueness of Gibbs measures relative to Brownian motion. Ann. Inst. Henri Poincaré Probab. Stat. 39 877–889.

4. BETZ, V., LŐRINCZI, J. and SPOHN, H. (2005). Gibbs measures on Brownian paths: Theory and applications. In Interacting Stochastic Systems 75–102. Springer, Berlin.

5. BETZ, V. and POLZER, S. (2021). Functional central limit theorems for Polaron path measures. Preprint. Available at arXiv:2106.06447.

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