16 citations · 50 across the 11 of their papers we have counts for
11 papers · 1 filter
Holder continuity of interfaces for scale-invariant Poisson stick soup
Augusto Teixeira, Daniel Ungaretti
We study the interface of covered and vacant sets in the subcritical phase of a scale-invariant Poisson stick soup on the plane. This model is a natural candidate for scaling limit…
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 with random one-dimensional reinforcements
A. Nascimento, R. Sanchis, D. Ungaretti
We study inhomogeneous Bernoulli bond percolation on the graph , where is a connected quasi-transitive graph. The inhomogeneity is introduced through a ran…
A note on oriented percolation with inhomogeneities and strict inequalities
Bernardo N. B. de Lima, Daniel Ungaretti, Maria Eulália Vares
This note was motivated by natural questions related to oriented percolation on a layered environment that introduces long range dependence. As a convenient tool, we are led to dea…
A Central Limit Theorem for intransitive dice
Luis G. Coelho, Tertuliano Franco, Lael V. Lima +4
Intransitive dice are dice such that has advantage when played against , dice has advantage when played against …
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…
Euclidean and chemical distances in ellipses percolation
Marcelo Hilário, Daniel Ungaretti
The ellipses model is a continuum percolation process in which ellipses with random orientation and eccentricity are placed in the plane according to a Poisson point process. A par…
Renewal Contact Processes: phase transition and survival
Luiz Renato Fontes, Thomas S. Mountford, Daniel Ungaretti +1
We refine previous results concerning the Renewal Contact Processes. We significantly widen the family of distributions for the interarrival times for which the critical value can…
A note on the phase transition for independent alignment percolation
Marcelo Hilário, Daniel Ungaretti
We study the independent alignment percolation model on introduced by Beaton, Grimmett and Holmes [arXiv:1908.07203]. It is a model for random intersecting line segm…
Transience of conditioned walks on the plane: encounters and speed of escape
Serguei Popov, Leonardo T. Rolla, Daniel Ungaretti
We consider the two-dimensional simple random walk conditioned on never hitting the origin, which is,formally speaking, the Doob's -transform of the simple random walk with resp…
Ellipses Percolation
Augusto Teixeira, Daniel Ungaretti
We define a continuum percolation model that provides a collection of random ellipses on the plane and study the behavior of the covered set and the vacant set, the one obtained by…