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Long-Time Behavior of the International Trade Equation and Average Gromov Hyperbolicity.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Long-Time Behavior of the International Trade Equation and Average Gromov Hyperbolicity./
Author:	Sloman, Leila.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2021,
Description:	158 p.
Notes:	Source: Dissertations Abstracts International, Volume: 83-06, Section: B.
Contained By:	Dissertations Abstracts International83-06B.
Subject:	Prices. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28812882
ISBN:	9798494453426

Long-Time Behavior of the International Trade Equation and Average Gromov Hyperbolicity.
Sloman, Leila.

Long-Time Behavior of the International Trade Equation and Average Gromov Hyperbolicity. - Ann Arbor : ProQuest Dissertations & Theses, 2021 - 158 p.

Source: Dissertations Abstracts International, Volume: 83-06, Section: B.

Thesis (Ph.D.)--Stanford University, 2021.

This item must not be sold to any third party vendors.

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.

ISBN: 9798494453426Subjects--Topical Terms:

652651
Prices.

Long-Time Behavior of the International Trade Equation and Average Gromov Hyperbolicity.
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260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2021
300 $a 158 p.
500 $a Source: Dissertations Abstracts International, Volume: 83-06, Section: B.
500 $a Advisor: Ryzhik, Leonid;Chatterjee, Sourav.
502 $a Thesis (Ph.D.)--Stanford University, 2021.
506 $a This item must not be sold to any third party vendors.
520 $a 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.
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