Extremal Spectral Dynamics and a Fractal Theory for Simplicial Complexes

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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Detaylı Bibliyografya
Yazar: Märte, Julian
Diğer Yazarlar: Welker, Volkmar (Prof. Dr.) (Tez danışmanı)
Materyal Türü: Dissertation
Dil:İngilizce
Baskı/Yayın Bilgisi: Philipps-Universität Marburg 2023
Konular:
Perturbationstheorie
Spektrale Graphentheorie
Sobolev theory
Zentraler Grenzwertsatz
Unterteilung
Laplace Operator
Spectral graph theory
Sobolevtheorie
Perturbation theory
Kombinatorischer Laplace-Operator
Simplicial geometry
subdivision
Geometrie
Simpliziale Geometrie
Unterteilungen,Graphkonvergenz
Combinatorial Laplacian
Mathematik
Graph convergence
Sobolev
Mathematics
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