734 citations · 1.6k across the 35 of their papers we have counts for
37 papers
Limit Theorems for the Dynamical Foundation of the Fractional Brownian Motion and Related Models of Anomalous Diffusion with Random Diffusion Coefficient and Time-Dependent Random Hurst parameter
Christian Bender, Yana A. Butko, Mirko D'Ovidio +1
Anomalous diffusion is an established phenomenon but still a theoretical challenge in non-equilibrium statistical mechanics. Physical models are built incrementally, and the most r…
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…
Non-local Boundary Value Problems, stochastic resetting and Brownian motions on graphs
Stefano Bonaccorsi, Fausto Colantoni, Mirko D'Ovidio +1
We consider dynamic boundary conditions involving non-local operators. Our analysis includes a detailed description of such operators together with their relations with random time…
The tempered space-fractional Cattaneo equation
Luisa Beghin, Roberto Garra, Francesco Mainardi +1
We consider the time-fractional Cattaneo equation involving the tempered Caputo space-fractional derivative. We find the characteristic function of the related process and we expla…
Local Analysis of Heterogeneous Intracellular Transport: Slow and Fast moving Endosomes
Nickolay Korabel, Daniel Han, Alessandro Taloni +4
Trajectories of endosomes inside living eukaryotic cells are highly heterogeneous in space and time and diffuse anomalously due to a combination of viscoelasticity, caging, aggrega…
Unravelling Heterogeneous Transport of Endosomes
Nickolay Korabel, Daniel Han, Alessandro Taloni +4
A major open problem in biophysics is to understand the highly heterogeneous transport of many structures inside living cells, such as endosomes. We find that mathematically it is…