Showing math.PRShow all
2 papers · 1 filter
math.PR2020
The empirical mean position of a branching Lévy process
David Cheek, Seva Shneer
We consider a supercritical branching Lévy process on the real line. Under mild moment assumptions on the number of offspring and their displacements, we prove a second-order limit…
math.PR2019
Genetic composition of an exponentially growing cell population
David Cheek, Tibor Antal
We study a simple model of DNA evolution in a growing population of cells. Each cell contains a nucleotide sequence which randomly mutates at cell division. Cells divide according…