2 citations · 2 across the 3 of their papers we have counts for
4 papers
Bounded weight functions on regular languages and groups
J. Guilhot, E. Little, J. Parkinson
We introduce the notion of a bounded weight function on a language, and show that the set of bounded weight functions on a regular language is a rational polyhedral cone. We study…
The asymptotic Plancherel formula and Lusztig's asymptotic algebra for
Nathan Chapelier-Laget, Jérémie Guilhot, Eloise Little +1
The aim of this paper is to give a new explicit construction of Lusztig's asymptotic algebra in affine type . To do so, we construct a balanced system of cell modules,…
Balanced representations, the asymptotic Plancherel formula, and Lusztig's conjectures for
J. Guilhot, J. Parkinson
We prove Lusztig's conjectures - for the affine Weyl group of type for all choices of positive weight function. Our approach to computing Lusztig…
Limit theorems for random walks on Fuchsian buildings and Kac-Moody groups
L. A. Gilch, S. Mueller, J. Parkinson
In this paper we prove a rate of escape theorem and a central limit theorem for isotropic random walks on Fuchsian buildings, giving formulae for the speed and asymptotic variance.…