Neil O'Connell

will speak on

Discrete Whittaker processes

Time: 3:00PM
Date: Tue 8th October 2024
Location: E0.32 (beside Pi restaurant) [map]

Further information

Abstract: I will discuss a Markov chain on reverse plane partitions (of a given shape) which is closely related to fundamental Whittaker functions and the Toda lattice. This process has non-trivial Markovian projections and a unique entrance law starting from the reverse plane partition with all entries equal to plus infinity. I will also outline some connections with imaginary exponential functionals of Brownian motion, a random polymer model with purely imaginary disorder, interacting corner growth processes and discrete delta-Bose gas, and hitting probabilities for some low rank examples.

https://ucd-ie.zoom.us/j/61202968258

(This talk is part of the Analysis series.)

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