Brownian motion is a Gaussian process described by the central limit theorem. However,
exponential decays of the positional probability density function P (X, t) of packets of …

Recently observation of random walks in complex environments like the cell and other
glassy systems revealed that the spreading of particles, at its tails, follows a spatial …

Gasification technology often requires the use of modeling approaches to incorporate
several intermediate reactions in a complex nature. These traditional models are …

In this paper we investigate the normal and the large fluctuations of additive functionals
associated with a stochastic process under a general non-Poissonian resetting mechanism …

Abstract In Zamparo (2019 (arXiv: 1903.03527)) the author has recently established sharp
large deviation principles for cumulative rewards associated with a discrete-time renewal …

We establish sharp large deviation principles for cumulative rewards associated with a
discrete-time renewal model, supposing that each renewal involves a broad-sense reward …

In this paper we consider some non linear Hawkes processes with signed reproduction
function (or memory kernel) thus exhibiting both self-excitation and inhibition. We provide a …

Exponential, and not Gaussian, decay of probability density functions was studied by
Laplace in the context of his analysis of errors. Such Laplace propagators for the diffusive …

A uniform key renewal theorem is deduced from the uniform Blackwell's renewal theorem. A
uniform LDP (large deviation principle) for renewal-reward processes is obtained, and MDP …

We establish a sharp large deviation principle for renewal–reward processes, supposing
that each renewal involves a broad-sense reward taking values in a real separable Banach …