734 citations · 1.6k across the 35 of their papers we have counts for
15 papers · 1 filter
Mean first-passage time of a random walker under Galilean transformation
Marcus Dahlenburg, Gianni Pagnini
We consider a continuous-time random walk model with finite-mean waiting-times and we study the mean first-passage time (MFPT) as estimated by an observer in a reference frame $\ma…
Should I stay or should I go? Zero-size jumps in random walks for Lévy flights
Gianni Pagnini, Silvia Vitali
We study Markovian continuous-time random walk models for Lévy flights and we show an example in which the convergence to stable densities is not guaranteed when jumps follow a bi-…
The generalized Cattaneo (telegrapher's) equation and corresponding random walks
K. Górska, A. Horzela, E. K. Lenzi +2
The various types of generalized Cattaneo, called also telegrapher's equation, are studied. We find conditions under which solutions of the equations considered so far can be recog…
Fractional Brownian motion in a finite interval: correlations effect depletion or accretion zones of particles near boundaries
T. Guggenberger, G. Pagnini, T. Vojta +1
Fractional Brownian motion is a Gaussian stochastic process with stationary, long-time correlated increments and is frequently used to model anomalous diffusion processes. We study…
Random diffusivity from stochastic equations: comparison of two models for Brownian yet non-Gaussian diffusion
V. Sposini, A. V. Chechkin, F. Seno +2
A considerable number of systems have recently been reported in which Brownian yet non-Gaussian dynamics was observed. These are processes characterised by a linear growth in time…
Crossover from anomalous to normal diffusion: truncated power-law noise correlations and applications to dynamics in lipid bilayers
D. Molina-Garcia, T. Sandev, H. Safdari +3
The emerging diffusive dynamics in many complex systems shows a characteristic crossover behaviour from anomalous to normal diffusion which is otherwise fitted by two independent p…