183 citations · 3.6k across the 121 of their papers we have counts for
6 papers · 1 filter
Towards a full quantitative description of single-molecule reaction kinetics in biological cells
Denis S. Grebenkov, Ralf Metzler, Gleb Oshanin
The first-passage time (FPT), i.e., the moment when a stochastic process reaches a given threshold value for the first time, is a fundamental mathematical concept with immediate ap…
Asymmetry relations and effective temperatures for biased Brownian gyrators
Sara Cerasoli, Victor Dotsenko, Gleb Oshanin +1
We focus on a paradigmatic two-dimensional model of a nanoscale heat engine, - the so-called Brownian gyrator - whose stochastic dynamics is described by a pair of coupled Langevin…
Tracer diffusion in crowded narrow channels. Topical review
O. Benichou, P. Illien, G. Oshanin +2
We summarise different results on the diffusion of a tracer particle in lattice gases of hard-core particles with stochastic dynamics, which are confined to narrow channels -- sing…
Spectral content of fractional Brownian motion with stochastic reset
Satya N Majumdar, Gleb Oshanin
We analyse the power spectral density (PSD) (with being the observation time and is the frequency) of a fractional Brownian motion (fBm), with an arbitrary Hurst i…
-tag Probability Law of the Symmetric Exclusion Process
Alexis Poncet, Olivier Bénichou, Vincent Démery +1
The Symmetric Exclusion Process (SEP), in which particles hop symmetrically on a discrete line with hard-core constraints, is a paradigmatic model of subdiffusion in confined syste…
Power spectral density of a single Brownian trajectory: What one can and cannot learn from it
Diego Krapf, Enzo Marinari, Ralf Metzler +3
The power spectral density (PSD) of any time-dependent stochastic processes is a meaningful feature of its spectral content. In its text-book definition, the PSD is the Fouri…