Files and links (1)
Published, Version of Record (VoR)Open Access via Drexel Libraries Read and Publish Program 2025CC BY V4.0, Open
Journal article
Expected Number of Jumps and the Number of Active Particles in TASEP
Journal of statistical physics, v 192(8), 99
16 Jul 2025
Featured in Collection : Research Supported by Drexel Libraries' OA Programs
Abstract
For a TASEP on
with the step initial condition we identify limits as
of the expected total number of jumps until time
and the expected number of active particles at a time t. We also connect the two quantities proving that non-asymptotically, that is as a function of
, the latter is the derivative of the former. Our approach builds on asymptotics derived by Rost and intensive use of the fact that the rightmost particle evolves according to the Poisson process.
Metrics
9 Record Views
Details
- Title
- Expected Number of Jumps and the Number of Active Particles in TASEP
- Creators
- Pawel Hitczenko (Corresponding Author) - Drexel University, MathematicsJacek Wesolowski - Warsaw University of Technology
- Publication Details
- Journal of statistical physics, v 192(8), 99
- Publisher
- Springer Nature
- Number of pages
- 15
- Grant note
- Kosciuszko FoundationNational Science Center Poland: 2023/51/B/ST1/01535
The authors would like to warmly thank Dominik Schmid for generously sharing his intuitions, for all inspiring discussions, as well as for a detailed literature guidance. This work was carried out during P. H.'s visit to Warsaw University of Technology and was supported in part by the Kosciuszko Foundation through its Research Exchange to Poland program. J. W. was supported in part by National Science Center Poland [project no. 2023/51/B/ST1/01535].
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:001531488500001
- Scopus ID
- 2-s2.0-105011050150
- Other Identifier
- 991022064141804721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Physics, Mathematical