On the telegraph process driven by geometric counting process with Poisson-based resetting

A Di Crescenzo, A Iuliano, V Mustaro… - Journal of Statistical …, 2023 - Springer
We investigate the effects of the resetting mechanism to the origin for a random motion on
the real line characterized by two alternating velocities v 1 and v 2. We assume that the …

[HTML][HTML] Random motions in R3 with orthogonal directions

F Cinque, E Orsingher - Stochastic Processes and their Applications, 2023 - Elsevier
This paper is devoted to the detailed analysis of three-dimensional motions in R 3 with
orthogonal directions switching at Poisson times and moving with constant speed c> 0. The …

Multidimensional random motions with a natural number of finite velocities

F Cinque, M Cintoli - Advances in Applied Probability, 2024 - cambridge.org
We present a detailed analysis of random motions moving in higher spaces with a natural
number of velocities. In the case of the so-called minimal random dynamics, under some …

On Local Time for Telegraph Processes

N Ratanov, M Turov - Mathematics, 2023 - mdpi.com
Mathematics | Free Full-Text | On Local Time for Telegraph Processes Next Article in
Journal A Sustainable Fault Diagnosis Approach for Photovoltaic Systems Based on …

Random motions in with orthogonal directions

F Cinque, E Orsingher - arXiv preprint arXiv:2205.08829, 2022 - arxiv.org
This paper is devoted to the detailed analysis of three-dimensional motions in $\mathbb {R}^
3$ with orthogonal directions switching at Poisson times and moving with constant speed …