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Large-scale Geometry of First Passage Percolation on Graphs of Polynomial Growth

Description:

This dissertation proves several results for first passage percolation on graphs of polynomial growth.The class of limit shapes for first passage percolation with stationary weights on Cayley graphs of virtually nilpotent groups is characterized. Then strict monotonicity theorems for independent first passage percolation on graphs of polynomial growth and quasi-trees...

Keyword:

coarse geometry, first-passage percolation, and Cayley graphs

Subject:

Mathematics

Creator:

Gorski, Christian Stanley Edward

Owner:

Scholarly Digital Publishing

Language:

en

Date Uploaded:

08/23/2023

Date Created:

2023-01-01

Resource Type:

Dissertation

Alternate Identifier:

http://dissertations.umi.com/northwestern:16688 and etdadmin_upload_1009568