[图书][B] Graphs and discrete Dirichlet spaces
The present book deals with the spectral geometry of infinite graphs. This topic involves the
interplay of three different subjects: geometry, the spectral theory of Laplacians and the heat …
interplay of three different subjects: geometry, the spectral theory of Laplacians and the heat …
Dirichlet forms and stochastic completeness of graphs and subgraphs
We study Laplacians on graphs and networks via regular Dirichlet forms. We give a sufficient
geometric condition for essential selfadjointness and explicitly determine the generators of …
geometric condition for essential selfadjointness and explicitly determine the generators of …
Unbounded Laplacians on graphs: basic spectral properties and the heat equation
Unbounded Laplacians on Graphs: Basic Spectral Properties and the Heat Equation
Introduction Page 1 Math. Model. Nat. Phenom. Vol. 5, No. 2, 2010, pp. 198-224 DOI …
Introduction Page 1 Math. Model. Nat. Phenom. Vol. 5, No. 2, 2010, pp. 198-224 DOI …
Laplacians on infinite graphs: Dirichlet and Neumann boundary conditions
We study Laplacians associated to a graph and single out a class of such operators with
special regularity properties. In the case of locally finite graphs, this class consists of all …
special regularity properties. In the case of locally finite graphs, this class consists of all …
[PDF][PDF] Analysis of the physical Laplacian and the heat flow on a locally finite graph
A Weber - arXiv preprint arXiv:0801.0812, 2008 - arxiv.org
Analysis of the physical Laplacian on a locally finite graph Page 1 Analysis of the physical
Laplacian and the heat flow on a locally finite graph Andreas Weber ∗ Universität Karlsruhe …
Laplacian and the heat flow on a locally finite graph Andreas Weber ∗ Universität Karlsruhe …
Bipartite and neighborhood graphs and the spectrum of the normalized graph Laplacian
We study the spectrum of the normalized Laplace operator of a connected graph $\Gamma
$. As is well known, the smallest nontrivial eigenvalue measures how difficult it is to …
$. As is well known, the smallest nontrivial eigenvalue measures how difficult it is to …
Volume growth, spectrum and stochastic completeness of infinite graphs
We study the connections between volume growth, spectral properties and stochastic
completeness of locally finite weighted graphs. For a class of graphs with a very weak …
completeness of locally finite weighted graphs. For a class of graphs with a very weak …
Cheeger inequalities for unbounded graph Laplacians
Cheeger inequalities for unbounded graph Laplacians Page 1 DOI 10.4171/JEMS/503 J. Eur.
Math. Soc. 17, 259–271 c European Mathematical Society 2015 Frank Bauer · Matthias Keller …
Math. Soc. 17, 259–271 c European Mathematical Society 2015 Frank Bauer · Matthias Keller …
[HTML][HTML] Graphs of finite measure
A Georgakopoulos, S Haeseler, M Keller… - … Mathématiques Pures et …, 2015 - Elsevier
We consider weighted graphs with an infinite set of vertices. We show that boundedness of
all functions of finite energy can be seen as a notion of 'relative compactness' for such …
all functions of finite energy can be seen as a notion of 'relative compactness' for such …
[HTML][HTML] Hardy inequality and asymptotic eigenvalue distribution for discrete Laplacians
S Golénia - Journal of Functional Analysis, 2014 - Elsevier
Hardy inequality and asymptotic eigenvalue distribution for discrete Laplacians -
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