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602 papers · 1 filter
Exact Stationary State of a -dimensional Run-and-Tumble Particle in a Harmonic Potential
Mathis Guéneau, Satya N. Majumdar, Grégory Schehr
We derive the exact nonequilibrium steady state of a run-and-tumble particle (RTP) in dimensions confined in an isotropic harmonic trap , with $r=\|\math…
A first passage problem for a Poisson counting process with a linear moving boundary
Ivan N. Burenev, Michael J. Kearney, Satya N. Majumdar
The time to first crossing for the Poisson counting process with respect to a linear moving barrier with offset is a classic problem, although key results remain scattered across t…
First Passage Resetting Gas
Marco Biroli, Satya N. Majumdar, Gregory Schehr
We study a one-dimensional gas of Brownian particles that diffuse independently but are simultaneously reset whenever any of them reaches a fixed threshold located at .…
Emergence of Nonequilibrium Latent Cycles in Unsupervised Generative Modeling
Marco Baiesi, Alberto Rosso
We show that nonequilibrium dynamics can play a constructive role in unsupervised machine learning by inducing the spontaneous emergence of latent-state cycles. We introduce a mode…
Three faces of random walks in a hyperbolic domain: BKT, Lifshitz tails, and KPZ
Daniil Fedotov, Sergei Nechaev
We show that continuous random walks (diffusion) in the Poincaré upper half-plane provide a unified description of three seemingly unrelated phenome…
A set of master variables for the two-star random graph
Pawat Akara-pipattana, Oleg Evnin
The two-star random graph is the simplest exponential random graph model with nontrivial interactions between the graph edges. We propose a set of auxiliary variables that control…