A general approach to the shape transition of run-and-tumble particles: The 1D PDMP framework for invariant measure regularity
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
Steady state and mixing of two run-and-tumble particles interacting through jamming and attractive forces
arXiv:2501.11379
2025
Long-time analysis of a pair of on-lattice and continuous run-and-tumble particles with jamming interactions
with Arnaud Guillin and Manon Michel
arXiv:2411.13964
2024
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