1 citations · 1 across the 6 of their papers we have counts for
6 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…
Random Markov property for random walks in random environments
Julien Allasia, Rangel Baldasso, Oriane Blondel +1
We consider random walks in dynamic random environments and propose a criterion which, if satisfied, allows to decompose the random walk trajectory into i.i.d. increments, and ulti…
Can one condition a killed random walk to survive?
Lucas Rey, Augusto Teixeira
We consider the simple random walk on killed with probability at site for a function decaying at infinity. Due to recurrence in dimension , the…
Covering Distributions
Alberto M. Campos, Augusto Teixeira
In this article, we study a covering process of the discrete one-dimensional torus that uses connected arcs of random sizes in the covering. More precisely, fix a distribution μon…
A new proof for percolation phase transition on stretched lattices
Marcelo R. Hilário, Marcos Sá, Remy Sanchis +1
We revisit the phase transition for percolation on randomly stretched lattices. Starting with the usual square grid, keep all vertices untouched while erasing edges according as fo…
Cylinders' percolation: decoupling and applications
Caio Alves, Augusto Teixeira
In this paper we establish a strong decoupling inequality for the cylinder's percolation process introduced by Tykesson and Windisch in arXiv:1010.5338 . This model features a very…