17 citations · 17 across the 4 of their papers we have counts for
4 papers
Improving on bold play when the gambler is restricted
Jason Schweinsberg
Suppose a gambler starts with a fortune in (0,1) and wishes to attain a fortune of 1 by making a sequence of bets. Assume thay whenever the gambler stakes the amount s, the gambler…
A coalescent model for the effect of advantageous mutations on the genealogy of a population
Rick Durrett, Jason Schweinsberg
When an advantageous mutation occurs in a population, the favorable allele may spread to the entire population in a short time, an event known as a selective sweep. As a result, wh…
Random partitions approximating the coalescence of lineages during a selective sweep
Jason Schweinsberg, Rick Durrett
When a beneficial mutation occurs in a population, the new, favored allele may spread to the entire population. This process is known as a selective sweep. Suppose we sample in…
Power laws for family sizes in a duplication model
Rick Durrett, Jason Schweinsberg
Qian, Luscombe and Gerstein [J. Molecular Biol. 313 (2001) 673--681] introduced a model of the diversification of protein folds in a genome that we may formulate as follows. Consid…