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cond-mat.stat-mech2026
Ornstein-Uhlenbeck Process Driven by Multiple Dichotomous Noises
Silvio Kalaj, Dongho Lee, Enzo Marinari +3
We study a generalized Ornstein-Uhlenbeck process driven by a superposition of independent dichotomous noises with arbitrary fixed amplitudes and switching rates. Unlike the cl…
cond-mat.stat-mech2025
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…
cond-mat.stat-mech2025
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…