441 citations · 1.1k across the 11 of their papers we have counts for
4 papers · 1 filter
Looking forwards and backwards: dynamics and genealogies of locally regulated populations
Alison M. Etheridge, Thomas G. Kurtz, Ian Letter +2
We introduce a broad class of spatial models to describe how spatially heterogeneous populations live, die, and reproduce. Individuals are represented by points of a point measure,…
Stochastic population growth in spatially heterogeneous environments
Steven N. Evans, Peter L. Ralph, Sebastian J. Schreiber +1
Classical ecological theory predicts that environmental stochasticity increases extinction risk by reducing the average per-capita growth rate of populations. To understand the int…
Dynamics of the time to the most recent common ancestor in a large branching population
Steven N. Evans, Peter L. Ralph
If we follow an asexually reproducing population through time, then the amount of time that has passed since the most recent common ancestor (MRCA) of all current individuals lived…
Brownian motion on disconnected sets, basic hypergeometric functions, and some continued fractions of Ramanujan
Shankar Bhamidi, Steven N. Evans, Ron Peled +1
Motivated by Lévy's characterization of Brownian motion on the line, we propose an analogue of Brownian motion that has as its state space an arbitrary closed subset of the line th…