4 papers · 1 filter
Activity-driven clustering and many-body steady state of jamming run-and-tumble particles
Leo Hahn, Arnaud Guillin, Manon Michel
We exactly resolve the three-particle steady state of run-and-tumble particles with jamming interactions, providing the first microscopic description beyond two bodies. The invaria…
Invariant-measure regularity for one-dimensional PDMPs with applications to shape transitions in run-and-tumble particle systems
Leo Hahn
We study the regularity of the invariant density of 1D piecewise-deterministic Markov processes. Such densities are regular away from the zeros of the driving vector fields, but ma…
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…
Steady state and mixing of two run-and-tumble particles interacting through jamming and attractive forces
Leo Hahn
We study the long-time behavior of two run-and-tumble particles on the real line subjected to an attractive interaction potential and jamming interactions, which prevent the partic…