The Kac model: variations on a theme

DOI10.4171/icm2022/194OpenAlexW4389775102MaRDI QIDQ6200713

Eric Anders Carlen, Federico Bonetto, Michael Loss

Publication date: 24 March 2024

Published in: International Congress of Mathematicians (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/icm2022/194

zbMATH Keywords

spectral gapKac modelgraph Laplacianentropy decayheat reservoir

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Interacting particle systems in time-dependent statistical mechanics (82C22) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Cites Work

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• Spectral gaps for reversible Markov processes with chaotic invariant measures: the Kac process with hard sphere collisions in three dimensions
• Decay of information for the Kac evolution
• Chaos, ergodicity, and equilibria in a quantum Kac model
• An orthogonal basis for functions over a slice of the Boolean hypercube

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