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
Language:English
Published: Philipps-Universität Marburg 2023
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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
https://doi.org/10.17192/z2023.0540