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Domain Walls in the Heisenberg-Ising Spin-1/2 Chain
Axel Saenz, Craig A. Tracy, Harold Widom
In this paper we obtain formulas for the distribution of the left-most up-spin in the Heisenberg-Ising spin-1/2 chain with anisotropy parameter , also known as the XXZ spin-1/2…
Mapping TASEP back in time
Leonid Petrov, Axel Saenz
We obtain a new relation between the distributions at different times of the continuous-time TASEP (Totally Asymmetric Simple Exclusion Process) started from the ste…
Integral formulas of ASEP and -TAZRP on a ring
Zhipeng Liu, Axel Saenz, Dong Wang
In this paper, we obtain the transition probability formulas for the Asymmetric Simple Exclusion Process (ASEP) and the -deformed Totally Asymmetric Zero Range Process (-TAZR…
Limiting speed of a second class particle in ASEP
Promit Ghosal, Axel Saenz, Ethan C. Zell
We study the asymptotic speed of a second class particle in the two-species asymmetric simple exclusion process (ASEP) on with each particle belonging either to the fi…
Generalizations of TASEP in discrete and continuous inhomogeneous space
Alisa Knizel, Leonid Petrov, Axel Saenz
We investigate a rich new class of exactly solvable particle systems generalizing the Totally Asymmetric Simple Exclusion Process (TASEP). Our particle systems can be thought of as…