Correlations in multispecies asymmetric exclusion processes (Record no. 429528)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02215nam a22002417a 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 230626b |||||||| |||| 00| 0 eng d |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | en. |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 510 |
| Item number | NIM |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Pahuja, Nimisha |
| 245 ## - TITLE STATEMENT | |
| Title | Correlations in multispecies asymmetric exclusion processes |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | Bangalore |
| Name of publisher, distributor, etc | IISc |
| Date of publication, distribution, etc | 2023 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xii. 87p. |
| Other physical details | col. ill. ; |
| Dimensions | 29.1 cm * 20. 5 cm |
| Accompanying material | e-Thesis |
| Size of unit | 815.5Kb |
| 500 ## - GENERAL NOTE | |
| General note | include bibliographic reference and index |
| 502 ## - DISSERTATION NOTE | |
| Dissertation note | PhD; 2023; Mathematics |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | The main aim of this thesis is to study the correlations in multispecies exclusion processes inspired by the research of Ayyer and Linusson (Trans. AMS., 2017) where they studied correlations in the multispecies TASEP on a ring with one particle of each species. The focus is on studying various models, such as multispecies TASEP on a continuous ring, multispecies PASEP on a ring, multispecies B-TASEP and multispecies TASEP on a ring with multiple copies of each particle. The primary goal is to investigate the two-point correlations of adjacent particles in these models. The details of these models are given below: We study the multispecies TASEP on a continuous ring and prove a conjecture by Aas and Linusson (AIHPD, 2018) regarding the two-point correlations of adjacent particles. We use the theory of multiline queues developed by Ferrari and Martin (Ann. Probab., 2007) to interpret the conjecture in terms of the placements of numbers in triangular arrays. Additionally, we use projections to calculate correlations in the continuous multispecies TASEP using a distribution on these placements. Next, we study the correlations of adjacent particles on the first two sites in the multispecies PASEP on a finite ring. To prove the results, we use the multiline process defined by Martin (Electron. J. Probab., 2020), which is a generalisation of the multiline process defined earlier by Ferrari and Martin. We then study the multispecies B-TASEP with open boundaries. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Probability |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | stochastic process |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | young tableaux |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | exclusion processes |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Ayyer, Arvind advised |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://etd.iisc.ac.in/handle/2005/6135 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Thesis |
No items available.
