Asymptotic properties of some random evolutions and geometries
Abstract/Contents
- Abstract
- This thesis comprises two parts. The first part concerns asymptotic properties of the stochastic heat, Kardar--Parisi--Zhang, and Burgers equations, as well as the fractional parabolic Anderson model. We show several results about long-time behavior and scaling limits of these equations. The second part concerns the Liouville quantum gravity metric. We show the existence of subsequential scaling limits of two natural regularizations of this metric, in the first case at very high temperature and in the second case for all subcritical temperatures
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 | 2020; ©2020 |
| Publication date | 2020; 2020 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Author | Dunlap, Alexander Joseph |
|---|---|
| Degree supervisor | Ryzhik, Leonid |
| Thesis advisor | Ryzhik, Leonid |
| Thesis advisor | Chatterjee, Sourav |
| Thesis advisor | Papanicolaou, George |
| Degree committee member | Chatterjee, Sourav |
| Degree committee member | Papanicolaou, George |
| Associated with | Stanford University, Department of Mathematics |
Subjects
| Genre | Theses |
|---|---|
| Genre | Text |
Bibliographic information
| Statement of responsibility | Alexander Dunlap |
|---|---|
| Note | Submitted to the Department of Mathematics |
| Thesis | Thesis Ph.D. Stanford University 2020 |
| Location | electronic resource |
Access conditions
- Copyright
- © 2020 by Alexander Joseph Dunlap
Also listed in
Loading usage metrics...