6 papers
One-dimensional lattice random walks in a Gaussian random potential
Silvio Kalaj, Enzo Marinari, Gleb Oshanin +1
We study random walks evolving in continuous time on a one-dimensional lattice where each site hosts a quenched random potential . The potentials on different sites are in…
Fastest first-passage time for multiple searchers with finite speed
Denis S. Grebenkov, Ralf Metzler, Gleb Oshanin
We study analytically and numerically the mean fastest first-passage time (fFPT) to an immobile target for an ensemble of independent finite-speed random searchers driven by di…
Inferring Concepts from Noisy Examples in Hopfield-like Neural Networks
Marco Benedetti, Giulia Fischetti, Enzo Marinari +2
We study a variant of the pseudo-inverse learning rule for Hopfield-like Neural Networks, which allows the network to infer archetypal concepts on the basis of a limited number of…
Discrete-space and -time analogue of a super-diffusive fractional Brownian motion
Enzo Marinari, Gleb Oshanin
We discuss how to construct reliably well "a lattice and an integer time" version of a super-diffusive continuous-space and -time fractional Brownian motion (fBm) -- an experimenta…
Fastest first-passage time statistics for time-dependent particle injection
Denis S. Grebenkov, Ralf Metzler, Gleb Oshanin
A common scenario in a variety of biological systems is that multiple particles are searching in parallel for an immobile target located in a bounded domain, and the fastest among…
A simple model of a sequence-reading diffusion: non-self-averaging and self-averaging properties
Silvio Kalaj, Enzo Marinari, Gleb Oshanin +1
Motivated by a question about the sensitivity of knots' diffusive motion to the actual sequence of nucleotides placed on a given DNA, here we study a simple model of a sequence-rea…