Invariant-measure regularity for one-dimensional PDMPs with applications to shape transitions in run-and-tumble particle
arXiv:2506.02274
2025
Convergence of non-reversible Markov processes via lifting and flow Poincaré inequality
with Andreas Eberle, Arnaud Guillin, Francis Lörler and Manon Michel
arXiv:2503.04238
2025
Clustering of three run-and-tumble particles in one dimension: Exact steady state via dynamical symmetry
with Arnaud Guillin and Manon Michel
Physical Review E
2026
Steady state and mixing of two run-and-tumble particles interacting through jamming and attractive forces
Stochastic Processes and their Applications
2026
Long-time analysis of a pair of on-lattice and continuous run-and-tumble particles with jamming interactions
with Arnaud Guillin and Manon Michel
Journal of Statistical Physics
2025
Jamming pair of general run-and-tumble particles: Exact results, symmetries and steady-state universality classes
with Arnaud Guillin and Manon Michel
Journal of Physics A: Mathematical and Theoretical
2025
Interacting run-and-tumble particles as piecewise deterministic Markov processes: Invariant distribution and convergence
2024