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November 2020 Spectral gaps for reversible Markov processes with chaotic invariant measures: The Kac process with hard sphere collisions in three dimensions
Eric Carlen, Maria Carvalho, Michael Loss
Ann. Probab. 48(6): 2807-2844 (November 2020). DOI: 10.1214/20-AOP1437

Abstract

We develop a method for producing estimates on the spectral gaps of reversible Markov jump processes with chaotic invariant measures, that is effective in the case of degenerate jump rates, and we apply it to prove the Kac conjecture for hard sphere collision in three dimensions.

Citation

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Eric Carlen. Maria Carvalho. Michael Loss. "Spectral gaps for reversible Markov processes with chaotic invariant measures: The Kac process with hard sphere collisions in three dimensions." Ann. Probab. 48 (6) 2807 - 2844, November 2020. https://doi.org/10.1214/20-AOP1437

Information

Received: 1 February 2019; Revised: 1 March 2020; Published: November 2020
First available in Project Euclid: 20 October 2020

MathSciNet: MR4164454
Digital Object Identifier: 10.1214/20-AOP1437

Subjects:
Primary: ‎39B62, 60G07
Secondary: 35Q20

Rights: Copyright © 2020 Institute of Mathematical Statistics

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Vol.48 • No. 6 • November 2020
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