46 citations · 271 across the 29 of their papers we have counts for
4 papers · 1 filter
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…
The quasi-stationary distribution of the subcritical contact process
Franco Arrejoría, Pablo Groisman, Leonardo T. Rolla
We show that the quasi-stationary distribution of the subcritical contact process on is unique. This is in contrast with other processes which also do not come down…
Diffusive bounds for the critical density of activated random walks
Amine Asselah, Leonardo T. Rolla, Bruno Schapira
We consider symmetric activated random walks on , and show that the critical density satisfies where denotes the sleep rat…
Activated Random Walks on
Leonardo T. Rolla
Some stochastic systems are particularly interesting as they exhibit critical behavior without fine-tuning of a parameter, a phenomenon called self-organized criticality. In the co…