3 citations · 3 across the 3 of their papers we have counts for
4 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…
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…
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…