3 papers
math.PR2026
Local times and excursions for self-similar Markov trees
Jean Bertoin, Armand Riera, Alejandro Rosales-Ortiz
This work builds upon the recent monograph [5] on self-similar Markov trees. A self-similar Markov tree is a random real tree equipped with a function from the tree to …
math.PR2024
Excursion theory for Markov processes indexed by Levy trees
Armand Riera, Alejandro Rosales-Ortiz
We develop an excursion theory that describes the evolution of a Markov process indexed by a Levy tree away from a regular and instantaneous point of the state space. The theor…
math.PR2022
Noise Reinforced Lévy Processes: Lévy-Itô Decomposition and Applications
Alejandro Rosales-Ortiz
A step reinforced random walk is a discrete time process with memory such that at each time step, with fixed probability , it repeats a previously performed step chose…