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Teoreticheskaya i Matematicheskaya Fizika, 2023, Volume 216, Number 2, Pages 226–233
DOI: https://doi.org/10.4213/tmf10398 (Mi tmf10398) 		 
Dyson diffusion on a curved contour

A. V. Zabrodinabc

a Skolkovo Institute of Science and Technology, Moscow, Russia
b National Research University Higher School of Economics, Moscow, Russia
c Alikhanov Institute for Theoretical and Experimental Physics, National Research Center "Kurchatov Institute", Moscow, Russia
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DOI: https://doi.org/10.4213/tmf10398
Abstract: We define the Dyson diffusion process on a curved smooth closed contour in the plane and derive the Fokker–Planck equation for the probability density. Its stationary solution is shown to be the Boltzmann weight for the logarithmic gas confined on the contour.
Keywords: diffusion process, logarithmic gas, partition function.
Received: 08.11.2022
Revised: 08.11.2022
English version:
Theoretical and Mathematical Physics, 2023, Volume 216, Issue 2, Pages 1104–1109
DOI: https://doi.org/10.1134/S0040577923080020
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Zabrodin, “Dyson diffusion on a curved contour”, TMF, 216:2 (2023), 226–233; Theoret. and Math. Phys., 216:2 (2023), 1104–1109
Citation in format AMSBIB
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\by A.~V.~Zabrodin
\paper Dyson diffusion on a~curved contour
\jour TMF
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\vol 216
\issue 2
\pages 226--233
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2023TMP...216.1104Z}
\transl
\jour Theoret. and Math. Phys.
\yr 2023
\vol 216
\issue 2
\pages 1104--1109
\crossref{https://doi.org/10.1134/S0040577923080020}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85169153873}
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