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math.PR2025
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…
math.PR2024
Long-time analysis of a pair of on-lattice and continuous run-and-tumble particles with jamming interactions
Arnaud Guillin, Leo Hahn, Manon Michel
Run-and-Tumble Particles (RTPs) are a key model of active matter. They are characterized by alternating phases of linear travel and random direction reshuffling. By this dynamic be…
math.PR2020
Stochastic Schrödinger-Lohe model
Reika Fukuizumi, Leo Hahn
The Schrödinger-Lohe model consists of wave functions interacting with each other, according to a system of Schrödinger equations with a specific coupling such that all wave functi…