5 papers
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…
Convergence rates of self-repelling diffusions on Riemannian manifolds
Francis Lörler
We study a class of self-repelling diffusions on compact Riemannian manifolds whose drift is the gradient of a potential accumulated along their trajectory. When the interaction po…
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…
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…
Hypocoercivity meets lifts
Giovanni Brigati, Francis Lörler, Lihan Wang
We unify the variational hypocoercivity framework established by D. Albritton, S. Armstrong, J.-C. Mourrat, and M. Novack, with the notion of second-order lifts of reversible diffu…