3 papers
q-bio.PE2022
Ancestral reproductive bias in branching processes
David Cheek, Samuel G. G. Johnston
Consider a branching process with a homogeneous reproduction law. Sampling a single cell uniformly from the population at a time and looking along the sampled cell's ancest…
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…