91 citations · 215 across the 31 of their papers we have counts for
37 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…
Extinction, Survival and Fluctuations for the Spatial Maki--Thompson Model on Infinite Graphs
Luciano Henrique Lacerda de Araújo, Daniel Miranda Machado, Cristian Favio Coletti +1
We study the spatial Maki--Thompson rumor model on infinite, connected graphs of bounded degree. Spreaders transmit the rumor to ignorant neighbors but become stiflers upon contact…
A Spectral Approach to Survival Bounds for the Elephant Random Walk
Cristian Favio Coletti, Rafael de Mattos Grisi, Ioannis Papageorgiou
We study a rate-one Poissonization of the one-dimensional elephant random walk killed upon reaching . For every fixed memory parameter , we give a self-contained proo…
Topology of Percolation Clusters: Central Limit Theorems beyond the Lattice
Luciano H. L. de Araújo, Daniel Miranda Machado, Cristian F. Coletti
We prove central limit theorems (CLTs) for topological functionals of Bernoulli bond percolation on infinite graphs beyond the Euclidean lattice . For quasi-transit…
Zeros and Orthogonality of generalized Fibonacci polynomials
Cristian F. Coletti, Rigoberto Flórez, Robinson A. Higuita +1
This paper analyzes the concept of orthogonality in second-order polynomial sequences that have Binet formula similar to that of the Fibonacci and Lucas numbers, referred to as Gen…
The Maki-Thompson model with random awareness
Cristian F. Coletti, Denis A. Luiz, Alejandra Rada
We propose a rumor propagation model in which individuals within a homogeneously mixed population can assume one of infinitely many possible states. To analyze this model, we exten…