activity
20202026
most citedStatistics of occupation time and connection to local properties of non-homogeneous random walks

20 citations · 59 across the 10 of their papers we have counts for

collaborators

10 papers

math.PR2026

Double-transform Tauberian method for precise large deviations

Giampaolo Cristadoro, Gaia Pozzoli

In many stochastic models, the observables of interest are naturally encoded in double transforms (e.g., Laplace transforms) that couple spatial and temporal variables. Notably, th…

math-ph2026

On the conservation of specific energy and entropy in infinite anharmonic systems

Gaia Pozzoli, Renaud Raquépas

We work with infinite, closed, translation-invariant, finite-range lattice systems with "unbounded classical spins", also known as anharmonic crystals, under assumptions close to t…

math.PR2024

Precise large deviations through a uniform Tauberian theorem

Giampaolo Cristadoro, Gaia Pozzoli

We derive a large deviation principle for families of random variables in the basin of attraction of spectrally positive stable distributions by proving a uniform version of the Ta…

cond-mat.stat-mech2022★ 8 cited

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…

cond-mat.stat-mech2022★ 3 cited

Transport properties of diffusive particles conditioned to survive in trapping environments

Gaia Pozzoli, Benjamin De Bruyne

We consider a one-dimensional Brownian motion with diffusion coefficient in the presence of partially absorbing traps with intensity , separated by a distance and ev…

math.PR2022★ 4 cited

Ladder costs for random walks in Lévy random media

Alessandra Bianchi, Giampaolo Cristadoro, Gaia Pozzoli

We consider a random walk moving on a Lévy random medium, namely a one-dimensional renewal point process with inter-distances between points that are in the domain of attractio…

cond-mat.stat-mech2021

Survival probability of random walks leaping over traps

Gaia Pozzoli, Benjamin De Bruyne

We consider one-dimensional discrete-time random walks (RWs) in the presence of finite size traps of length over which the RWs can jump. We study the survival probability of…

cond-mat.stat-mech2020★ 9 cited

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…

cond-mat.stat-mech2020★ 15 cited

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…

cond-mat.stat-mech2020★ 20 cited

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…