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26 papers · 2 filters
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…
Emerging correlations between diffusing particles evolving via simultaneous resetting with memory
Denis Boyer, Satya N. Majumdar
We study the emergence of correlations between components of the position of a diffusive walker in dimensions that starts at the origin and resets to previously visited sit…
First-passage properties of the jump process with a drift. The general case
Ivan N. Burenev
We study the first-passage properties of a jump process with constant drift where jump amplitudes and inter-arrival times follow arbitrary light-tailed distributions with smooth de…