Determination of the spectral gap for Kac's master equation and related stochastic evolution.
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Publication:1886149
DOI10.1007/BF02392695zbMath1080.60091arXivmath-ph/0109003OpenAlexW2013472589MaRDI QIDQ1886149
Michael Loss, Maria Conception Carvalho, Eric Anders Carlen
Publication date: 15 November 2004
Published in: Acta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0109003
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Cites Work
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- Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas
- Propagation of smoothness and the rate of exponential convergence to equilibrium for a spatially homogeneous Maxwellian gas
- Logarithmic Sobolev inequality for generalized simple exclusion processes
- Sur la théorie de l'équation intégrodifferentielle de Boltzmann
- Spectral gap for Kac's model of Boltzmann equation.
- Logarithmic Sobolev inequality for lattice gases mixing conditions
- Bounds for Kac's master equation
- Propagation of chaos for the Boltzmann equation
- Generating a random permutation with random transpositions
- Linearization for the Boltzmann Equation