165 citations · 259 across the 55 of their papers we have counts for
4 papers · 2 filters
A model of discrete interacting updates
Denis Denisov, Seva Shneer, Vitali Wachtel
We consider counters taking integer values which are subject to the following dynamics. At every time, a pair of distinct counters is chosen uniformly at random and their state…
Critical multitype branching: a functional limit theorem and ancestral processes
Ellen Baake, Fernando Cordero, Sophia-Marie Mellis +1
We consider the long-term behaviour of critical multitype branching processes conditioned on non-extinction, both with respect to the forward and the ancestral processes. Forward i…
Co-existence of branching populations in random environment
Nikita Elizarov, Vitali Wachtel
In this paper we consider two branching processes living in a joint random environment. Assuming that both processes are critical we address the following question: What is the pro…
Random walks with square-root boundaries: the case of exact boundaries
Denis Denisov, Alexander Sakhanenko, Sara Terveer +1
Let be a real valued random walk with i.i.d. increments which have zero mean and finite variance. We are interested in the asymptotic properties of the stopping time $T(g):=…