Total Current Fluctuations in ASEP
Craig A. Tracy, Harold Widom
TL;DR
This paper proves a limit theorem for the total current in ASEP with step initial condition, extending Johansson's results from TASEP to ASEP, and providing insights into current fluctuations in asymmetric exclusion processes.
Contribution
It extends Johansson's limit theorem from TASEP to ASEP, broadening understanding of current fluctuations in asymmetric exclusion processes.
Findings
Established a limit theorem for total current in ASEP
Extended previous TASEP results to ASEP
Provides mathematical framework for current fluctuations
Abstract
A limit theorem for the total current in the asymmetric simple exclusion process (ASEP) with step initial condition is proved. This extends the result of Johansson on TASEP to ASEP.
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