5 citations · 5 across the 5 of their papers we have counts for
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-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…
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…
Non-reversible lifts of reversible diffusion processes and relaxation times
Andreas Eberle, Francis Lörler
We propose a new concept of lifts of reversible diffusion processes and show that various well-known non-reversible Markov processes arising in applications are lifts in this sense…