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- W1584920362 abstract "We consider the (numerically motivated) Nanbu stochastic particle system associated to the spatially homogeneous Boltzmann equation for true hard potentials. We establish a rate of propagation of chaos of the particle system to the unique solution of the Boltzmann equation. More precisely, we estimate the expectation of the squared Wasserstein distance with quadratic cost between the empirical measure of the particle system and the solution. The rate we obtain is almost optimal as a function of the number of particles but is not uniform in time." @default.
- W1584920362 created "2016-06-24" @default.
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- W1584920362 date "2016-01-01" @default.
- W1584920362 modified "2023-09-29" @default.
- W1584920362 title "Rate of convergence of the Nanbu particle system for hard potentials and Maxwell molecules" @default.
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- W1584920362 doi "https://doi.org/10.1214/14-aop983" @default.
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