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THE PROBABILITY DISTRIBUTION OF THE SPECIES-1 PARTICLE IN THE TWO-SPECIES ASEP WITH INITIAL CONFIGURATION 22...21

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dc.contributor.author Tokebayev, Zhanibek
dc.date.accessioned 2022-06-21T05:22:55Z
dc.date.available 2022-06-21T05:22:55Z
dc.date.issued 2022-04
dc.identifier.citation Zhanibek Tokebayev (2022). The probability distribution of the species-1 particle in the two-species ASEP with initial configuration 22...21. Nazarbayev University, Nur-sultan, Kazakhstan en_US
dc.identifier.uri http://nur.nu.edu.kz/handle/123456789/6288
dc.description.abstract In this paper, we investigate the behaviour of the unique right-most species-1 particle in the 2-species ASEP. We start with the introduction, where we first introduce the model itself, which was introduced by Frank Spitzer in the paper [4]. Then we give a brief outline of the research done in the field, and the results obtained by Sch¨utz (in the paper [3]), Tracy and Widom (in the papers [5], [6]), Lee (in the papers [1], [2]), and Raimbekov (in the paper [2]). We then proceed to the preliminary section, where we explain the necessary background needed to understand the thesis. After that, we start experimenting with some special cases of the general N-particle problem; this will naturally lead us to the main results section. The main result of the thesis is the integral formula for the probability distribution of the unique species-1 particle which is right-most at time t = 0 in a 2-species ASEP. en_US
dc.language.iso en en_US
dc.publisher Nazarbayev University School of Sciences and Humanities en_US
dc.rights Attribution-NonCommercial-ShareAlike 3.0 United States *
dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/us/ *
dc.subject Type of access: Open Access en_US
dc.subject ASEP en_US
dc.title THE PROBABILITY DISTRIBUTION OF THE SPECIES-1 PARTICLE IN THE TWO-SPECIES ASEP WITH INITIAL CONFIGURATION 22...21 en_US
dc.type Master's thesis en_US
workflow.import.source science


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