4 citations · 4 across the 3 of their papers we have counts for
3 papers · 1 filter
Periodic Pólya Urns, the Density Method, and Asymptotics of Young Tableaux
Cyril Banderier, Philippe Marchal, Michael Wallner
Pólya urns are urns where at each unit of time a ball is drawn and replaced with some other balls according to its colour. We introduce a more general model: the replacement rule d…
Compacted binary trees admit a stretched exponential
Andrew Elvey Price, Wenjie Fang, Michael Wallner
A compacted binary tree is a directed acyclic graph encoding a binary tree in which common subtrees are factored and shared, such that they are represented only once. We show that…
Counting and sampling gene family evolutionary histories in the duplication-loss and duplication-loss-transfer models
Cedric Chauve, Yann Ponty, Michael Wallner
Given a set of species whose evolution is represented by a species tree, a gene family is a group of genes having evolved from a single ancestral gene. A gene family evolves along…