Extremal Spectral Dynamics and a Fractal Theory for Simplicial Complexes

The aim of this work is the exploration of spectral asymptotics of certain geometries associated to simplicial complexes. We will state how combinatorial and differential Laplacians can be associated to a simplicial complex and describe certain asymptotics linked to their spectra. First we take...

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Bibliographic Details
Main Author: Märte, Julian
Contributors: Welker, Volkmar (Prof. Dr.) (Thesis advisor)
Format: Doctoral Thesis
Published: Philipps-Universität Marburg 2023
Online Access:PDF Full Text
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Call Number: urn:nbn:de:hebis:04-z2023-05409
Publication Date: 2023-10-05
Date of Acceptance: 2023-08-09
Downloads: 54 (2024), 29 (2023)
License: https://creativecommons.org/licenses/by/4.0
Access URL: https://archiv.ub.uni-marburg.de/diss/z2023/0540