3 papers
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.AP2025
Convergence of non-reversible Markov processes via lifting and flow Poincar{é} inequality
Andreas Eberle, Arnaud Guillin, Leo Hahn +2
We propose a general approach for quantitative convergence analysis of non-reversible Markov processes, based on the concept of second-order lifts and a variational approach to hyp…