3 papers
math.PR2020
On a two-parameter Yule-Simon distribution
Erich Baur, Jean Bertoin
We extend the classical one-parameter Yule-Simon law to a version depending on two parameters, which in part appeared in Bertoin [2019] in the context of a preferential attachment…
math.PR2019
On a class of random walks with reinforced memory
Erich Baur
This paper deals with different models of random walks with a reinforced memory of preferential attachment type. We consider extensions of the Elephant Random Walk introduced by Sc…
math.PR2016
Weak limits for the largest subpopulations in Yule processes with high mutation probabilities
Erich Baur, Jean Bertoin
We consider a Yule process until the total population reaches size , and assume that neutral mutations occur with high probability (in the sense that each child is a…