42 citations · 374 across the 29 of their papers we have counts for
30 papers
Records and occupation time statistics for area-preserving maps
Roberto Artuso, Tulio M. de Oliveira, Cesar Manchein
A relevant problem in dynamics is to characterize how deterministic systems may exhibit features typically associated to stochastic processes. A widely studied example is the study…
Extreme value statistics of positive recurrent centrally biased random walks
Roberto Artuso, Manuele Onofri, Gaia Pozzoli +1
We consider the extreme value statistics of centrally-biased random walks with asymptotically-zero drift in the ergodic regime. We fully characterize the asymptotic distribution of…
A continuous-time random walk extension of the Gillis model
Gaia Pozzoli, Mattia Radice, Manuele Onofri +1
We consider a continuous-time random walk which is the generalization, by means of the introduction of waiting periods on sites, of the one-dimensional nonhomogeneous random walk w…
Exploring the Gillis model: a discrete approach to diffusion in logarithmic potentials
Manuele Onofri, Gaia Pozzoli, Mattia Radice +1
Gillis model, introduced more than 60 years ago, is a non-homogeneous random walk with a position dependent drift. Though parsimoniously cited both in the physical and mathematical…
Statistics of occupation time and connection to local properties of non-homogeneous random walks
Mattia Radice, Manuele Onofri, Roberto Artuso +1
We consider the statistics of occupation times, the number of visits at the origin and the survival probability for a wide class of stochastic processes, which can be classified as…
Transport properties and ageing for the averaged Lévy-Lorentz gas
Mattia Radice, Manuele Onofri, Roberto Artuso +1
We consider a persistent random walk on an inhomogeneous environment where the reflection probability depends only on the distance from the origin. Such an environment is the resul…