Universality for some random growth models
Abstract/Contents
- Abstract
- This thesis studies the problem of deriving fluctuations of hydrodynamic limits for general time-dependent microscopic systems. To this end, we develop a derivation of the Boltzmann-Gibbs principle depending only on the dynamics of the system at hand. This provides an answer to conjectures of Spohn and Jensen-Yau. As an application of the method, we derive the Kardar-Parisi-Zhang equation as a continuum limit of the current fluctuations in some non-integrable and non-stationary asymmetric exclusion processes.
Description
| Type of resource | text |
|---|---|
| Form | electronic resource; remote; computer; online resource |
| Extent | 1 online resource. |
| Place | California |
| Place | [Stanford, California] |
| Publisher | [Stanford University] |
| Copyright date | 2022; ©2022 |
| Publication date | 2022; 2022 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Author | Yang, Kevin |
|---|---|
| Degree supervisor | Dembo, Amir |
| Thesis advisor | Dembo, Amir |
| Thesis advisor | Chatterjee, Sourav |
| Thesis advisor | Ryzhik, Leonid |
| Degree committee member | Chatterjee, Sourav |
| Degree committee member | Ryzhik, Leonid |
| Associated with | Stanford University, Department of Mathematics |
Subjects
| Genre | Theses |
|---|---|
| Genre | Text |
Bibliographic information
| Statement of responsibility | Kevin Yang. |
|---|---|
| Note | Submitted to the Department of Mathematics. |
| Thesis | Thesis Ph.D. Stanford University 2022. |
| Location | https://purl.stanford.edu/hd024yp7449 |
Access conditions
- Copyright
- © 2022 by Kevin Yang
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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