13 citations · 62 across the 35 of their papers we have counts for
44 papers
Competitive displacement in the grass-bushes-trees process on a scale-free network
John Fernley, Daniel Valesin
The grass-bushes-trees process is a two-type contact process in which the types face asymmetric birth mechanisms. Vertices of a graph can either be occupied by a tree, occupied by…
Ergodicity of the voter model with dynamic anti-voter bonds
Jhon Astoquillca, Daniel Valesin
The voter model with anti-voter bonds is a variant of the classical voter model in which the edges of the underlying graph are assigned signs. At each update, a voter chooses a nei…
The contact process on a bipartite spatial network
John Fernley, Christian Hirsch, Daniel Valesin
We study the contact process on a random bipartite connection hypergraph generated from two Poisson point processes, with mark-dependent connection thresholds. For asymmetric infec…
Interface for variants of the contact process
Isabella Alvarenga, Daniel Valesin
We study two one-dimensional variants of the contact process: the contact-and-barrier process, where the population evolves in a region delimited by a randomly moving barrier, and…
Contact process on interchange process
M. Hilário, D. Ungaretti, D. Valesin +1
We introduce a model of epidemics among moving particles on any locally finite graph. At any time, each vertex is empty, occupied by a healthy particle, or occupied by an infected…
Percolation on the stationary distributions of the voter model with stirring
Jhon Astoquillca, Franco Severo, Réka Szabó +1
The voter model with stirring is a variant of the classical voter model on with two possible opinions (0 and 1) that, in addition to copying neighbouring opinions at…
Speed of Convergence and Moderate Deviations of FPP on Random Geometric Graphs
Lucas R. de Lima, Daniel Valesin
This study delves into first-passage percolation on random geometric graphs in the supercritical regime, where the graphs exhibit a unique infinite connected component. We investig…
Catalan percolation
Eleanor Archer, Ivailo Hartarsky, Brett Kolesnik +3
In Catalan percolation, all nearest-neighbor edges along are initially occupied, and all other edges are open independently with probability . Open edges…
Degree-penalized contact processes
Zsolt Bartha, Júlia Komjáthy, Daniel Valesin
We study degree-penalized contact processes on Galton-Watson trees (GW) and the configuration model. The model we consider is a modification of the usual contact process on a graph…
The contact process on dynamic regular graphs: monotonicity and subcritical phase
Bruno Schapira, Daniel Valesin
We study the contact process on a dynamic random~-regular graph with an edge-switching mechanism, as well as an interacting particle system that arises from the local descriptio…
Face and cycle percolation
Christian Hirsch, Daniel Valesin
We consider face and cycle percolation as models for continuum percolation based on random simplicial complexes in Euclidean space. Face percolation is defined through infinite seq…
Scaling limit of an adaptive contact process
Adrián González Casanova, András Tóbiás, Daniel Valesin
We introduce and study an interacting particle system evolving on the -dimensional torus . Each vertex of the torus can be either empty or occupied by…
The contact process over a dynamical d-regular graph
Gabriel Leite Baptista da Silva, Roberto Imbuzeiro Oliveira, Daniel Valesin
We consider the contact process on a dynamic graph defined as a random -regular graph with a stationary edge-switching dynamics. In this graph dynamics, independently of the con…
Limiting shape for First-Passage Percolation models on Random Geometric Graphs
Cristian F. Coletti, Lucas R. de Lima, Alexander Hinsen +2
Let a random geometric graph be defined in the supercritical regime for the existence of a unique infinite connected component in Euclidean space. Consider the first-passage percol…
Results on the contact process with dynamic edges or under renewals
Marcelo Hilário, Daniel Ungaretti, Daniel Valesin +1
We analyze variants of the contact process that are built by modifying the percolative structure given by the graphical construction and develop a robust renormalization argument f…
Multi-range percolation on oriented trees: critical curve and limit behavior
Bernardo N. B. de Lima, Réka Szabó, Daniel Valesin
We consider an inhomogeneous oriented percolation model introduced by de Lima, Rolla and Valesin. In this model, the underlying graph is an oriented rooted tree in which each verte…
Approximation on slabs and uniqueness for inhomogeneous percolation with a plane of defects
Bernardo N. B. de Lima, Sébastien Martineau, Humberto C. Sanna +1
Let be the -dimensional hypercubic lattice. We consider a model of inhomogeneous Bernoulli percolation on $ \mathbb{L}^{…
The contact process on random hyperbolic graphs: metastability and critical exponents
Amitai Linker, Dieter Mitsche, Bruno Schapira +1
We consider the contact process on the model of hyperbolic random graph, in the regime when the degree distribution obeys a power law with exponent (so that the degree…
Graph constructions for the contact process with a prescribed critical rate
Stein Andreas Bethuelsen, Gabriel Baptista da Silva, Daniel Valesin
We construct graphs (trees of bounded degree) on which the contact process has critical rate (which will be the same for both global and local survival) equal to any prescribed val…
Reaction-diffusion models for a class of infinite-dimensional non-linear stochastic differential equations
Conrado da Costa, Bernardo Freitas Paulo da Costa, Daniel Valesin
We establish the existence of solutions to a class of non-linear stochastic differential equation of reaction-diffusion type in an infinite-dimensional space, with diffusion corres…
On the threshold of spread-out contact process percolation
Balazs Rath, Daniel Valesin
We study the stationary distribution of the (spread-out) -dimensional contact process from the point of view of site percolation. In this process, vertices of can…
Asymptotic Results of a Multiple-entry Reinforcement Process
Caio Alves, Rodrigo Ribeiro, Daniel Valesin
We introduce a class of stochastic processes with reinforcement consisting of a sequence of random partitions , where is a partition of…
Exponential rate for the contact process extinction time
Bruno Schapira, Daniel Valesin
We consider the extinction time of the contact process on increasing sequences of finite graphs obtained from a variety of random graph models. Under the assumption that the infect…
Inhomogeneous percolation on ladder graphs
Réka Szabó, Daniel Valesin
We define an inhomogeneous percolation model on "ladder graphs" obtained as direct products of an arbitrary graph and the set of integers (vertices are tho…