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math.PR2023
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,…
math.PR2005
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…