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

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

Kac [5] exhibited with his caricature of a Maxwellian gas, that the spatially homogeneous solution of Boltzmann problem is obtained as a limit of empirical distributions induced from $n$ molecules Markov processes (as $narrow\infty$ ) which are regulated by master equations associated with the collision operator in the Boltz-