# Transition Functions of Diffusion Processes on the Thoma Simplex

@article{Korotkikh2020TransitionFO,
title={Transition Functions of Diffusion Processes on the Thoma Simplex},
author={Sergei Korotkikh},
journal={Functional Analysis and Its Applications},
year={2020},
volume={54},
pages={118-134}
}
• S. Korotkikh
• Published 19 June 2018
• Mathematics
• Functional Analysis and Its Applications
The paper deals with a three-dimensional family of diffusion processes on an infinite-dimensional simplex. These processes were constructed by Borodin and Olshanski in 2009 and 2010, and they include, as limit objects, the infinitely-many-neutral-allels diffusion model constructed by Ethier and Kurtz in 1981 and its extension found by Petrov in 2009. Each process X in our family possesses a unique symmetrizing measure M, called the z-measure. Our main result is that the transition function of X…

### The Topological Support of the z-Measures on the Thoma Simplex

• G. Olshanski
• Mathematics
Functional Analysis and Its Applications
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