18 citations · 43 across the 22 of their papers we have counts for
23 papers · 1 filter
Limit theorems for amnesic elephant Random walks with random increment sizes
Cristian F. Coletti, Rafael Souza Dos Santos, Glauco Valle
We introduce a generalized amnesic elephant random walk in which, at each time, the direction of an underlying amnesic elephant random walk selects one of two increment distributio…
A Superdiffusive Local Limit Theorem for the Elephant Random Walk and the Breakdown of Log-Concavity
Hélio Trinas, Glauco Valle
Let be the one-dimensional Elephant Random Walk (ERW) in the superdiffusive regime, with memory parameter and first-step bias .…
Onset of pattern formation for the stochastic Allen-Cahn equation
Stella Brassesco, Glauco Valle, Maria Eulália Vares
We study the behavior of the solution of a stochastic Allen-Cahn equation $\frac{\partial u_\eps }{\partial t}=\frac 12 \frac{\partial^2 u_\eps }{\partial x^2}+ u_\eps -u_\eps^3+\s…
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…
A note on transience of generalized many-dimensional excited random walks
Rodrigo B. Alves, Giulio Iacobelli, Glauco Valle
We consider a variation of the Generalized Excited Random Walk (GERW) in dimension where the lower bound on the drift for excited jumps is time-dependent and decays to zer…
On the convergence of the drainage network with branching
Rafael Santos, Glauco Valle, Leonel Zuaznábar
The Drainage Network is a system of coalescing random walks, exhibiting long-range dependence before coalescence, introduced by Gangopadhyay, Roy, and Sarkar. Coletti, Fontes, and…