198 citations · 296 across the 13 of their papers we have counts for
18 papers · 1 filter
Generalized random processes related to Hadamard operators and Le Roy measures
Luisa Beghin, Lorenzo Cristofaro, Federico Polito
The definition of generalized random processes in Gel'fand sense allows to extend well-known stochastic models, such as the fractional Brownian motion, and study the related fracti…
A fractional Hawkes process II: Further characterization of the process
Cassien Habyarimana, Jane A. Aduda, Enrico Scalas +3
We characterize a Hawkes point process with kernel proportional to the probability density function of Mittag-Leffler random variables. This kernel decays as a power law with expon…
Semi-Markovian discrete-time telegraph process with generalized Sibuya waiting times
Thomas M. Michelitsch, Federico Polito, Alejandro P. Riascos
In a recent work we introduced a semi-Markovian discrete-time generalization of the telegraph process. We referred this random walk to as squirrel random walk (SRW). The SRW is a d…
Squirrels can remember little: A random walk with jump reversals induced by a discrete-time renewal process
Thomas M. Michelitsch, Federico Polito, Alejandro P. Riascos
We consider a class of discrete-time random walks with directed unit steps on the integer line. The direction of the steps is reversed at the time instants of events in a discrete-…
Input-output consistency in integrate and fire interconnected neurons
Petr Lansky, Federico Polito, Laura Sacerdote
Interspike intervals describe the output of neurons. Signal transmission in a neuronal network implies that the output of some neurons becomes the input of others. The output shoul…
Asymmetric random walks with bias generated by discrete-time counting processes
Thomas M. Michelitsch, Federico Polito, Alejandro P. Riascos
We introduce a new class of asymmetric random walks on the one-dimensional infinite lattice. In this walk the direction of the jumps (positive or negative) is determined by a discr…