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Intrinsic Metrics on Graphs: A Survey (Q2803986)

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Language	Label	Description	Also known as
English	Intrinsic Metrics on Graphs: A Survey	scientific article

Statements

scholarly article

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Intrinsic Metrics on Graphs: A Survey (English)

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Matthias Keller

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Mathematical Technology of Networks

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publication date

3 May 2016

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full work available at URL

https://arxiv.org/abs/1407.7453

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MaRDI profile type

MaRDI publication profile

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\(\lambda_ 1\), isoperimetric inequalities for graphs, and superconcentrators

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Strictly substochastic semigroups with application to conservative and shattering solutions to fragmentation equations with mass loss

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Behavior of diffusion semi-groups at infinity

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Stability of parabolic Harnack inequalities

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On the \(l^p\) spectrum of Laplacians on graphs

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Cheeger inequalities for unbounded graph Laplacians

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Sch'nol's theorem for strongly local forms

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A relation between growth and the spectrum of the Laplacian

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Essential self-adjointness of powers of generators of hyperbolic equations

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Essential self-adjointness for combinatorial Schrödinger operators. II. Metrically non complete graphs

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Difference Equations, Isoperimetric Inequality and Transience of Certain Random Walks

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On boundaries and lateral conditions for the Kolmogorov differential equations

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Gaussian upper bounds for heat kernels of continuous time simple random walks

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Volume growth and stochastic completeness of graphs

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Volume growth and spectrum for general graph Laplacians

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Intrinsic metrics for non-local symmetric Dirichlet forms and applications to spectral theory

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Growth and the spectrum of the Laplacian of an infinite graph

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The Laplacian on rapidly branching trees

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Dirichlet forms and symmetric Markov processes

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The Harmonic Operator for Exterior Differential Forms

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A special Stoke's theorem for complete Riemannian manifolds

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Graphs of finite measure

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Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds

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Escape rate of brownian motion on riemanian manifolds

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Volume Growth and Escape Rate of Brownian Motion on a Cartan—Hadamard Manifold

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On stochastic completeness of jump processes

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A Feynman-Kac-Itô formula for magnetic Schrödinger operators on graphs

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Generalized Solutions and Spectrum for Dirichlet Forms on Graphs

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Laplacians on infinite graphs: Dirichlet and Neumann boundary conditions

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Volume growth and bounds for the essential spectrum for Dirichlet forms

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The spectrum of a Schrödinger operator in \(L_ p({\mathbb{R}}^{\nu})\) is p-independent

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Volume growth and escape rate of Brownian motion on a complete Riemannian manifold

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\(L^q\) harmonic functions on graphs

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Harmonic functions of general graph Laplacians

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A note on the volume growth criterion for stochastic completeness of weighted graphs

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Escape rate of Markov chains on infinite graphs

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Upper escape rate of Markov chains on weighted graphs

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A note on self-adjoint extensions of the Laplacian on weighted graphs

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Subharmonic functions on real and complex manifolds

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Dirichlet forms and stochastic completeness of graphs and subgraphs

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Unbounded Laplacians on Graphs: Basic Spectral Properties and the Heat Equation

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Diffusion determines the recurrent graph

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Volume growth, spectrum and stochastic completeness of infinite graphs

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Quantum graphs: I. Some basic structures

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Probability on Trees and Networks

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Conservation property of symmetric jump processes

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On the conservativeness and the recurrence of symmetric jump-diffusions

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Essential self-adjointness of magnetic Schrödinger operators on locally finite graphs

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A Sears-type self-adjointness result for discrete magnetic Schrödinger operators

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Self-adjoint extensions of discrete magnetic Schrödinger operators

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On the First Eigenvalue of the Combinatorial Laplacian for a Graph.

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Mean Exit Time of a Diffusion Process from a Small Sphere

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Denumerable Markov processes and the associated contraction semigroups on l

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Subharmonic functions on graphs

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Über den L<scp>APLACE</scp>‐Operator auf R<scp>IEMANNS</scp>chen Mannigfaltigkeiten mit diskontinuierlichen Gruppen

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Spectrum and continuum eigenfunctions of Schrödinger operators

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Schrödinger semigroups

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Analysis of the Laplacian on a complete Riemannian manifold

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On the \(L^ p\)-spectrum of uniformly elliptic operators on Riemannian manifolds

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Analysis on local Dirichlet spaces. I. Recurrence, conservativeness and Lp-Liouville properties.

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Random Walks on Infinite Graphs and Groups

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Heat kernel and essential spectrum of infinite graphs

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Stochastically Incomplete Manifolds and Graphs

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Identifiers

zbMATH Open document ID

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10.1007/978-3-319-16619-3_7

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2803986

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