1 citations · 1 across the 1 of their papers we have counts for
5 papers
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…
The KPZ Universality Class and Related Topics
Axel Saenz
These notes are based on a talk given at the 2018 Arizona School of Analysis and Mathematical Physics. We give a comprehensive introduction to the KPZ universality class, a conject…
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…