A lower bound for the spectral gap of the conjugate Kac process with 3 interacting particles

DOI10.3934/krm.2021045zbMath1483.82009arXiv2107.08275OpenAlexW3185175217MaRDI QIDQ2122780

Luís Simão Ferreira

Publication date: 7 April 2022

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.08275

zbMATH Keywords

Monte Carlo simulationsspectral gapkinetic theoryfunctional analysisparticle systemsKac process

Mathematics Subject Classification ID

Kinetic theory of gases in time-dependent statistical mechanics (82C40) Matrix and operator functional equations (39B42) Monte Carlo methods applied to problems in statistical mechanics (82M31)

Cites Work

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• Entropy of spherical marginals and related inequalities
• Cercignani's conjecture is sometimes true and always almost true
• Spectral gap for Kac's model of Boltzmann equation.
• A sharp analog of Young's inequality on \(S^N\) and related entropy inequalities
• Spectral gaps for reversible Markov processes with chaotic invariant measures: the Kac process with hard sphere collisions in three dimensions
• Determination of the Spectral Gap in the Kac Model for Physical Momentum and Energy-Conserving Collisions
• Generalized Jacobi Weights, Christoffel Functions, and Jacobi Polynomials

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