Fluctuations of Markovian systems in Kac's caricature of a Maxwellian gas

DOI10.2969/jmsj/03530477zbMath0513.60080OpenAlexW2069559582MaRDI QIDQ1050711

Kôhei Uchiyama

Publication date: 1983

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

Full work available at URL: https://doi.org/10.2969/jmsj/03530477

zbMATH Keywords

law of large numbersBoltzmann equationOrnstein-Uhlenbeck processmaster equationsmartingale problemSkorohod topologyempirical distribution process

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Generalized stochastic processes (60G20) Classical equilibrium statistical mechanics (general) (82B05) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

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