Laplace spectrum for exponential decomposition and pole–zero estimation

2001 ◽  
Vol 148 (5) ◽  
pp. 305 ◽  
Author(s):  
M.J. Corinthios
Keyword(s):  
Laplace Spectrum

Global Medical Shape Analysis Using the Volumetric Laplace Spectrum

2007 ◽  
Author(s):  
Martin Reuter ◽  
Marc Niethammer ◽  
Franz-Erich Wolter ◽  
Sylvain Bouix ◽  
Martha Shenton
Keyword(s):  
Shape Analysis ◽  
Laplace Spectrum

Geometric structures and the Laplace spectrum, II

2021 ◽  
pp. 1
Author(s):  
Samuel Lin ◽  
Benjamin Schmidt ◽  
Craig Sutton
Keyword(s):  
Geometric Structures ◽  
Laplace Spectrum

scholarly journals Mixing in High-Dimensional Expanders

2017 ◽  
Vol 26 (5) ◽  
pp. 746-761 ◽  
Author(s):  
ORI PARZANCHEVSKI
Keyword(s):  
Arbitrary Dimension ◽  
Simplicial Complexes ◽  
Similar Type ◽  
High Dimensional ◽  
Hodge Laplacian ◽  
Laplace Spectrum ◽  
Open Questions

We establish a generalization of the Expander Mixing Lemma for arbitrary (finite) simplicial complexes. The original lemma states that concentration of the Laplace spectrum of a graph implies combinatorial expansion (which is also referred to asmixing, orpseudo-randomness). Recently, an analogue of this lemma was proved for simplicial complexes of arbitrary dimension, provided that the skeleton of the complex is complete. More precisely, it was shown that a concentrated spectrum of the simplicial Hodge Laplacian implies a similar type of pseudo-randomness as in graphs. In this paper we remove the assumption of a complete skeleton, showing that simultaneous concentration of the Laplace spectra in all dimensions implies pseudo-randomness in any complex. We discuss various applications and present some open questions.

scholarly journals Huber's Theorem for Hyperbolic Orbisurfaces

2009 ◽  
Vol 52 (1) ◽  
pp. 66-71 ◽  
Author(s):  
Emily B. Dryden ◽  
Alexander Strohmaier
Keyword(s):  
Singular Points ◽  
Length Spectrum ◽  
Laplace Spectrum

AbstractWe show that for compact orientable hyperbolic orbisurfaces, the Laplace spectrum determines the length spectrum as well as the number of singular points of a given order. The converse also holds, giving a full generalization of Huber's theorem to the setting of compact orientable hyperbolic orbisurfaces.

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