The (Co)isoperimetric Problem in (Random) Polyhedra

We consider some aspects of the global geometry of cellular complexes. Motivated by techniques in graph theory, we develop combinatorial versions of isoperimetric and Poincare inequalities, and use them to derive various geometric and topological estimates. This has a progression of three major to...

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Bibliographic Details
Main Author: Dotterrer, Dominic
Other Authors: Guth, Larry
Language:en_ca
Published: 2013
Subjects:
Online Access:http://hdl.handle.net/1807/43541