3 papers
math.PR2026
Estimates on Escape Times for the Elephant Random Walk
Morgan André, Leonel Zuaznábar
We study the gambler's ruin problem for the Elephant Random Walk, focusing on escape time from a symmetric interval of the form . As our main result, we derive t…
math.PR2023
Scaling limit of an equilibrium surface under the Random Average Process
Luiz Renato Fontes, Mariela Pentón Machado, Leonel Zuaznábar
We consider the equilibrium surface of the Random Average Process started from an inclined plane, as seen from the height of the origin, obtained in [Ferrari & Fontes, 1998], where…
math.PR2023
Generalized Excited Random Walks under Bernoulli excitations
Rodrigo B. Alves, Giulio Iacobelli, Glauco Valle +1
We study a variant of the Generalized Excited Random Walk (GERW) on introduced by Menshikov, Popov, Ramírez and Vachkovskaia in [Ann. Probab. 40 (5), 2012]. It consi…