Sharp Uniform-in-Time Propagation of Chaos for the Kac model of a Maxwellian gas
Sharp Uniform-in-Time Propagation of Chaos for the Kac model of a Maxwellian gas Emanuele Dolera (Università di Pavia) Abstract: We establish a uniform-in-time propagation of chaos (POC) with the optimal quantitative rate $O(1/N)$ for any $k$-marginal of the Kac $N$-particle Markov process on the energy sphere $\mathbb{S}^{N-1}(\sqrt{N})$. Throughout, we refer to the Kac process as…
