New approach to KPZ models through free fermions at positive temperature-Reference-Cited by-同舟云学术

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New approach to KPZ models through free fermions at positive temperature

Published:2023-08-01 Issue:8 Volume:64 Page:
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:

Author:

Imamura Takashi¹^ORCID,Mucciconi Matteo²^ORCID,Sasamoto Tomohiro³^ORCID

Affiliation:

1. Department of Mathematics and Informatics, Chiba University 1 , Chiba 263-8522, Japan

2. Department of Mathematics, University of Warwick 2 , Coventry CV4 7HP, United Kingdom

3. Department of Physics, Tokyo Institute of Technology 3 , Oh-okayama 2-12-1, Meguro-ku, Tokyo 152-8551, Japan

Abstract

We give a short account of our new approach to study models in the Kardar–Parisi–Zhang universality class by connecting them to free fermions at positive temperature. Our ideas and methods are explained mainly for the semi-discrete directed polymer model due to O’Connell and Yor.

Funder

Japan Society for the Promotion of Science

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/5.0089778/18100091/083301_1_5.0089778.pdf

Reference68 articles.

1. Interaction of Markov processes;Adv. Math.,1970

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1. Introduction to the special collection: International congress on mathematical physics 2021;Journal of Mathematical Physics;2023-12-01

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