Long-time behavior of the international trade equation and average gromov hyperbolicity
Abstract/Contents
- Abstract
- In this thesis, we will describe results that hail from two very different probabilistic models. First, we will discuss an equation that models the distribution of productivity within a global economy that allows for knowledge sharing. We will show that the equation has traveling wave solutions, and that time-dependent solutions with compact initial data converge to traveling fronts at the minimal speed with a Bramson delay. In the second chapter, we will prove that probability spaces which obey an average notion of ultrametricity have a tree-like structure, a result that has applications in many spin-glass models.
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 | 2021; ©2021 |
| Publication date | 2021; 2021 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Author | Sloman, Leila |
|---|---|
| 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 | Leila Sloman. |
|---|---|
| Note | Submitted to the Department of Mathematics. |
| Thesis | Thesis Ph.D. Stanford University 2021. |
| Location | https://purl.stanford.edu/sd994xk5988 |
Access conditions
- Copyright
- © 2021 by Leila Sloman
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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