3 papers
math.PR2025
Particle detection among Random Walks as a non-reversible Random Interlacements Process
Gonzalo Panizo, Carlos Martínez
Consider the random set composed of particles initially distributed on Zd, d >= 2, according to a Poisson point process of intensity u > 0 and moving as independent simple symmetri…
math.PR2021
Second order cubic corrections of large deviations for perturbed random walks
Giancarlos Oviedo, Gonzalo Panizo, Alejandro F. Ramírez
We prove that the Beta random walk has second order cubic fluctuations from the large deviation principle of the GUE Tracy-Widom type for arbitrary values $\upalpha>0$ and $\upbeta…
math.PR2020
An overview of the balanced excited random walk
Daniel Camarena, Gonzalo Panizo, Alejandro F. Ramírez
The balanced excited random walk, introduced by Benjamini, Kozma and Schapira in , is defined as a discrete time stochastic process in , depending on two integer…