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math.PR2026
Relaxation times of non-reversible Markov processes
Andreas Eberle, Francis Lörler
We develop a systematic approach to quantify -relaxation times for non-reversible Markov processes based on the singular value gap of the generator introduced by Chatterjee. T…
math.PR2025
Convergence rates of self-repellent random walks, their local time and Event Chain Monte Carlo
Andreas Eberle, Francis Lörler
We study the rate of convergence to equilibrium of the self-repellent random walk and its local time process on the discrete circle . While the self-repellent random…
math.PR2024
Space-time divergence lemmas and optimal non-reversible lifts of diffusions on Riemannian manifolds with boundary
Andreas Eberle, Francis Lörler
Non-reversible lifts reduce the relaxation time of reversible diffusions at most by a square root. For reversible diffusions on domains in Euclidean space, or, more generally, on a…