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math.PR2026
On the entropic convergence for piecewise deterministic samplers: speedup and obstruction
Pierre Monmarché, Lihan Wang
For piecewise deterministic samplers such as Randomized Hamiltonian Monte Carlo (RHMC), Bouncy Particle Sampler (BPS) or Zig-Zag Process (ZZP), long-time exponential convergence ra…
math.PR2025
The Gaussian free-field as a stream function: asymptotics of effective diffusivity in infra-red cut-off
Georgiana Chatzigeorgiou, Peter Morfe, Felix Otto +1
We analyze the large-time asymptotics of a passive tracer with drift equal to the curl of the Gaussian free field in two dimensions with ultra-violet cut-off at scale unity. We pro…