3 papers
math.PR2026
The discrete periodic Pitman transform: invariances, braid relations, and Burke properties
Eva R. Engel, Benjamin Jasper Kra-Caskey, Oleksandr Lazorenko +5
We develop the theory of the discrete periodic Pitman transform, first introduced by Corwin, Gu, and the fifth author. We prove that the discrete periodic Pitman transform satisfie…
math.CO2025
Graham's rearrangement for a class of semidirect products
Simone Costa, Stefano Della Fiore, Eva R. Engel
A famous conjecture of Graham asserts that every set can be ordered so that all partial sums are distinct. Bedert and Kravitz proved that…
math-ph2025
Comparative Analyses of the Type D ASEP: Stochastic Fusion and Crystal Bases
Erik Brodsky, Eva R. Engel, Connor Panish +1
The Type D asymmetric simple exclusion process (ASEP) is a particle system involving two classes of particles that can be viewed from both a probabilistic and an algebraic perspect…