Kac’s random walk on the special orthogonal group mixes in polynomial time

DOI10.1090/proc/13598zbMath1378.60098OpenAlexW2558559511MaRDI QIDQ5351811

Yunjiang Jiang

Publication date: 30 August 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/13598

zbMATH Keywords

Kac walkNazarov inequalitytotal variation mixing time

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Discrete-time Markov processes on general state spaces (60J05) Compact groups (22C05)

Related Items (1)

On the mixing time of Kac's walk and other high-dimensional Gibbs samplers with constraints

Uses Software

• MathOverflow

Cites Work

• Unnamed Item
• Entropy and chaos in the Kac model
• On the theorems of Turán, Amrein-Berthier, and Zygmund
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• Spectral gap for Kac's model of Boltzmann equation.
• Determination of the spectral gap for Kac's master equation and related stochastic evolution.
• Bounds for Kac's master equation
• On the convergence to equilibrium of Kac's random walk on matrices
• A Gibbs sampler on the \(n\)-simplex
• A multidimensional version of Turán's Lemma
• On the Betti Numbers of Real Varieties

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