121 citations · 1.4k across the 88 of their papers we have counts for
7 papers · 1 filter
Unified theory for finite Markov chains
John Rhodes, Anne Schilling
We provide a unified framework to compute the stationary distribution of any finite irreducible Markov chain or equivalently of any irreducible random walk on a finite semigroup $S…
A minimaj-preserving crystal on ordered multiset partitions
Georgia Benkart, Laura Colmenarejo, Pamela E. Harris +4
We provide a crystal structure on the set of ordered multiset partitions, which recently arose in the pursuit of the Delta Conjecture. This conjecture was stated by Haglund, Remmel…
Rigged configuration bijection and proof of the conjecture for nonexceptional affine types
Masato Okado, Anne Schilling, Travis Scrimshaw
We establish a bijection between rigged configurations and highest weight elements of a tensor product of Kirillov-Reshetikhin crystals for all nonexceptional types. A key idea for…
Toric Varieties vs. Horofunction Compactifications of Polyhedral Norms
Lizhen Ji, Anna-Sofie Schilling
We establish a natural and geometric 1-1 correspondence between projective toric varieties of dimension and horofunction compactifications of with respect to rat…
A Demazure crystal construction for Schubert polynomials
Sami Assaf, Anne Schilling
Stanley symmetric functions are the stable limits of Schubert polynomials. In this paper, we show that, conversely, Schubert polynomials are Demazure truncations of Stanley symmetr…
Horofunction Compactifications of Symmetric Spaces
Thomas Haettel, Anna-Sofie Schilling, Cormac Walsh +1
We consider horofunction compactifications of symmetric spaces with respect to invariant Finsler metrics. We show that any (generalized) Satake compactification can be realized as…