Rafael A. Rosales

activity

20132026

most citedAsymptotically periodic piecewise contractions of the interval

19 citations · 25 across the 8 of their papers we have counts for

collaborators

8 papers

math.PR2026

The Clark-Kushner condition for interacting reinforced random walks on finite graphs

Fernando P. A. Prado, Rafael A. Rosales

We establish the Clark-Kushner condition for a large class of interacting vertex-reinforced random walks on finite graphs, where the transition matrix $Q^{i} (x)$ of each walk depends…

math.PR2025

Interacting vertex reinforced random walks on complete sub-graphs

Fernando P. A. Prado, Rafael A. Rosales

This article introduces a model for interacting vertex-reinforced random walks, each taking values on a complete subgraph of a locally finite undirected graph. The transition proba…

math.PR2022

Multiple colour interacting urns on complete graphs

Benito Pires, Rafael A. Rosales

We present a multiple colour generalisation of the model of graph interacting urns studied by Benaim et. al., Random Struct. Alg., 46: 614-634, 2015. We show that for complete grap…

math.PR2020★ 3 cited

Vertex reinforced random walks with exponential interaction on complete graphs

Benito Pires, Fernando P. A. Prado, Rafael A. Rosales

We describe a model for $m$ vertex reinforced interacting random walks on complete graphs with $d \geq 2$ vertices. The transition probability of a random walk to a given vertex dep…

math.PR2020

Two repelling random walks on $Z$

Fernando P. A. Prado, Cristian F. Coletti, Rafael A. Rosales

We consider two interacting random walks on $Z$ such that the transition probability of one walk in one direction decreases exponentially with the number of transitions of…

math.DS2016

Topological dynamics of piecewise λ-affine maps

Arnaldo Nogueira, Benito Pires, Rafael A. Rosales

Let $- 1 < λ < 1$ and $f : [0, 1) \to R$ be a piecewise $λ$ -affine map, that is, there exist points $0 = c_{0} < c_{1} < \dots < c_{n - 1} < c_{n} = 1$ and real numbers $b_{1}, \dots, b_{n}$ such that $f(…

math.DS2014★ 3 cited

Piecewise contractions defined by iterated function systems

Arnaldo Nogueira, Benito Pires, Rafael A. Rosales

Let $ϕ_{1}, \dots, ϕ_{n} : [0, 1] \to (0, 1)$ be Lipschitz contractions. Let $I = [0, 1)$ , $x_{0} = 0$ and $x_{n} = 1$ . We prove that for Lebesgue almost every $(x_{1}, ..., x_{n - 1})$ satisfying $0<x_1<\cd…

math.DS2013★ 19 cited

Asymptotically periodic piecewise contractions of the interval

Arnaldo Nogueira, Benito Pires, Rafael A. Rosales

We consider the iterates of a generic injective piecewise contraction of the interval defined by a finite family of contractions. Let $ϕ_{i} : [0, 1] \to (0, 1)$ , $1 \leq i \leq n$ , be $C^{2}$ -…

The Clark-Kushner condition for interacting reinforced random walks on finite graphs

Interacting vertex reinforced random walks on complete sub-graphs

Multiple colour interacting urns on complete graphs

Vertex reinforced random walks with exponential interaction on complete graphs

Two repelling random walks on Z

Topological dynamics of piecewise λ-affine maps

Piecewise contractions defined by iterated function systems

Asymptotically periodic piecewise contractions of the interval

Two repelling random walks on $Z$