20 citations · 28 across the 8 of their papers we have counts for
8 papers
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…
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…
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…
Sturm-Liouville systems for the survival probability in first-passage time problems
M. Dahlenburg, G. Pagnini
We derive a Sturm-Liouville system of equations for the exact calculation of the survival probability in first-passage time problems. This system is the one associated with the Wie…
Mellin definition of the fractional Laplacian
Gianni Pagnini, Claudio Runfola
It is known that at least ten equivalent definitions of the fractional Laplacian exist in an unbounded domain. Here we derive a further equivalent definition that is based on the M…
The Fokker-Planck equation of the superstatistical fractional Brownian motion with application to passive tracers inside cytoplasm
Claudio Runfola, Silvia Vitali, Gianni Pagnini
By collecting from literature data the experimental evidences of anomalous diffusion of passive tracers inside cytoplasm, and in particular of subdiffusion of mRNA molecules inside…
Exact calculation of the mean first-passage time of continuous-time random walks by nonhomogeneous Wiener-Hopf integral equations
M. Dahlenburg, G. Pagnini
We study the mean first-passage time (MFPT) for asymmetric continuous-time random walks in continuous-space characterised by waiting-times with finite mean and by jump-sizes with b…
Anomalous diffusion originated by two Markovian hopping-trap mechanisms
Silvia Vitali, Paolo Paradisi, Gianni Pagnini
We show through intensive simulations that the paradigmatic features of anomalous diffusion are indeed the features of a (continuous-time) random walk driven by two different Marko…