10 citations · 20 across the 7 of their papers we have counts for
5 papers · 1 filter
Moments of Pólya urns balanced in expectation
Colin Desmarais
In this work, recent results on the moments of balanced Pólya urns are generalized to unbalanced urns, with the condition that the expected change in total activity at each step is…
-Branching Random Walk with Noisy Selection: Large Population Limits and Phase Transitions
Colin Desmarais, Emmanuel Schertzer, Zsófia Talyigás
We analyze a variant of the Noisy -Branching Random Walk, a population model that evolves according to the following procedure. At each time step, each individual produces a lar…
Depths in random recursive metric spaces
Colin Desmarais
As a generalization of random recursive trees and preferential attachment trees, we consider random recursive metric spaces. These spaces are constructed from random blocks, each a…
Broadcasting induced colourings of random recursive trees and preferential attachment trees
Colin Desmarais, Cecilia Holmgren, Stephan Wagner
In this work we consider random two-colourings of random linear preferential attachment trees, which includes random recursive trees, random plane-oriented recursive trees, random…
Normal limit laws for vertex degrees in randomly grown hooking networks and bipolar networks
Colin Desmarais, Cecilia Holmgren
We consider two types of random networks grown in blocks. Hooking networks are grown from a set of graphs as blocks, each with a labelled vertex called a hook. At each step in the…