18 citations · 43 across the 22 of their papers we have counts for
27 papers
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 .…
On Stochastic Adding Machines and Non-Autonomous Julia Sets
Danilo Caprio, Ali Messaoudi, Ioannis Tsokanos +1
This work investigates the spectral and dynamical properties of transition operators associated with a class of stochastic adding machines. In particular, we characterize the spect…
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…