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math.PR2025

Pfaffian Transition Probability and Correlation Kernel of TASEP in Half-space

Jan de Gier, William Mead, Daniel Remenik +1

We present the transition probability for the asymmetric simple exclusion process on the half-space for general initial conditions and particle insertion at the boundary. In the li…

math.PR2023

Periodic -Whittaker and Hall-Littlewood processes

Jimmy He, Michael Wheeler

We study the periodic -Whittaker and Hall-Littlewood processes, two probability measures on sequences of partitions. We prove that a certain observable of the periodic -Whitt…

math.PR2023

Coloured corner processes from asymptotics of LLT polynomials

Amol Aggarwal, Alexei Borodin, Michael Wheeler

We consider probability measures arising from the Cauchy summation identity for the LLT (Lascoux--Leclerc--Thibon) symmetric polynomials of rank . We study the asymptotic…