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quant-ph2026
A Tale of Two Walks: From Kac to KMP and Back
Qian Chen, Jingcheng Liu, Minglong Qin +5
We reveal an unexpected connection between two interacting particle systems: Kac's walk and the Kipnis-Marchioro-Presutti (KMP) process. We first establish a mixing-time analogue o…
quant-ph2026
Rapid Mixing of Parallel Kac's Walk: From Spheres to Stiefel Manifolds
Qian Chen, Minglong Qin, Fang Song +2
Kac's walk is a classical local random walk whose action on a single real unit vector in dimension mixes in total variation in sequential steps~\cite{PS17}. Lu, Qi…