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20212026
most citedCylinders' percolation: decoupling and applications

1 citations · 1 across the 6 of their papers we have counts for

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6 papers

math.PR2026

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…

math.PR2024

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…

math.PR2024

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…

math.PR2024

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…

math.PR2023

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…

math.PR2021★ 1 cited

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…