3 papers
physics.bio-ph2026
A unifying approach to diffusive transport in annealed heterogeneous media
Yann Lanoiselée, Denis S. Grebenkov, Gianni Pagnini
We introduce the concept of Randomly Modulated Gaussian Processes as a unifying framework for elaborating, analyzing and classifying anomalous diffusion models in annealed heteroge…
cond-mat.stat-mech2026
The diffusion equation for non-Markovian Gaussian stochastic processes
Alessandro Taloni, Gianni Pagnini, Aleksei Chechkin
We derive the exact evolution equation for the probability density function of particle displacements generated by arbitrary Gaussian velocity processes, when neither Markovianity…
cond-mat.stat-mech2026
First-return time in fractional kinetics
M. Dahlenburg G. Pagnini
The first-return time is the time that it takes a random walker to go back to the initial position for the first time. We study the first-return time when random walkers perform fr…