55 citations · 57 across the 3 of their papers we have counts for
3 papers
math.PR2010★ 55 cited
Evolutionary dynamics of tumor progression with random fitness values
Rick Durrett, Jasmine Foo, Kevin Leder +2
Most human tumors result from the accumulation of multiple genetic and epigenetic alterations in a single cell. Mutations that confer a fitness advantage to the cell are known as d…
math.PR2009★ 2 cited
Gaussian perturbations of circle maps: A spectral approach
John Mayberry
In this work, we examine spectral properties of Markov transition operators corresponding to Gaussian perturbations of discrete time dynamical systems on the circle. We develop a m…
math.LO2007
Natural Number Arithmetic in the Theory of Finite Sets
J. P. Mayberry, Richard Pettigrew
We describe a theory of finite sets, and investigate the analogue of Dedekind's theory of natural number systems (simply infinite systems) in this theory. Unlike the infinitary cas…