68 citations · 230 across the 19 of their papers we have counts for
22 papers
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,…
Localization for constrained martingale problems and optimal conditions for uniqueness of reflecting diffusions in 2-dimensional domains
Cristina Costantini, Thomas G. Kurtz
We prove existence and uniqueness for semimartingale reflecting diffusions in 2-dimensional piecewise smooth domains with varying, oblique directions of reflection on each "side",…
A reverse ergodic theorem for inhomogeneous killed Markov chains and application to a new uniqueness result for reflecting diffusions
Cristina Costantini, Thomas G. Kurtz
Bass and Pardoux (1987) deduce from the Krein-Rutman theorem a reverse ergodic theorem for a sub-probability transition function, which turns out to be a key tool in proving unique…
Particle representation for the solution of the filtering problem. Application to the error expansion of filtering discretizations
Dan Crisan, Thomas G. Kurtz, Salvador Ortiz-Latorre
We introduce a weighted particle representation for the solution of the filtering problem based on a suitably chosen variation of the classical de Finetti theorem. This representat…
Finite Markov chains coupled to general Markov processes and an application to metastability II
Thomas G. Kurtz, Jason Swanson
We consider a diffusion given by a small noise perturbation of a dynamical system driven by a potential function with a finite number of local minima. The classical results of Frei…
Finite Markov chains coupled to general Markov processes and an application to metastability I
Thomas G. Kurtz, Jason Swanson
We consider a diffusion given by a small noise perturbation of a dynamical system driven by a potential function with a finite number of local minima. The classical results of Frei…