Numerical Estimation of Several Topological Quantities of the First Passage Percolation Model

Ma, Yuanzhe

Title:

Numerical Estimation of Several Topological Quantities of the First Passage Percolation Model

dc.contributor.advisor	Damron, Michael
dc.contributor.author	Ma, Yuanzhe
dc.contributor.committeeMember	Houdré, Christian
dc.contributor.committeeMember	Tikhomirov, Konstantin
dc.contributor.department	Mathematics
dc.date.accessioned	2021-06-10T16:49:47Z
dc.date.available	2021-06-10T16:49:47Z
dc.date.created	2021-05
dc.date.issued	2021-04-13
dc.date.submitted	May 2021
dc.date.updated	2021-06-10T16:49:47Z
dc.description	added new reference page to correct citation error, per graduate office, 7/13/2021.
dc.description.abstract	In this thesis, our main goal is to use numerical simulations to study some quantities related to the growing set B(t). Motivated by prior works, we mainly study quantities including the boundary size, the hole size, and the location of each hole for B(t). We discuss the theoretical background of this work, the algorithm we used to conduct simulations, and include an extensive discussion of our simulation results. Our results support some of the prior conjectures and further introduce several interesting open problems.
dc.description.degree	M.S.
dc.format.mimetype	application/pdf
dc.identifier.uri	http://hdl.handle.net/1853/64671
dc.language.iso	en_US
dc.publisher	Georgia Institute of Technology
dc.subject	First Passage Percolation
dc.subject	Simulation
dc.subject	Least Square Regression
dc.title	Numerical Estimation of Several Topological Quantities of the First Passage Percolation Model
dc.type	Text
dc.type.genre	Thesis
dspace.entity.type	Publication
local.contributor.advisor	Damron, Michael
local.contributor.corporatename	College of Sciences
local.contributor.corporatename	School of Mathematics
relation.isAdvisorOfPublication	4f8df015-77a8-4370-bcdd-aa6a4c4c516d
relation.isOrgUnitOfPublication	85042be6-2d68-4e07-b384-e1f908fae48a
relation.isOrgUnitOfPublication	84e5d930-8c17-4e24-96cc-63f5ab63da69
thesis.degree.level	Masters