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