Keller, Matthias
- Unbounded Laplacians on Graphs: Basic Spectral Properties and the Heat\n Equation
2011/01/15 by Matthias Keller, Keller, Matthias, Daniel Lenz +1 · 5 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Graph theory and applications #Mathematical Physics (math-ph) #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics
- Optimal Hardy inequalities for Schrödinger operators on graphs
2016/12/13 by Keller, Matthias, Pinchover, Yehuda, Pogorzelski, Felix · 6 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)
- Dirichlet forms and stochastic completeness of graphs and subgraphs
2009/04/20 by Keller, Matthias, Lenz, Daniel · 4 citations
#FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph)
- An improved discrete Hardy inequality
2016/12/18 by Matthias Keller, Yehuda Pinchover, Keller, Matthias +3 · 3 citations
Mathematics · Physics and Astronomy · #Differential Equations and Boundary Problems #Spectral Theory in Mathematical Physics #Electromagnetic Scattering and Analysis
- Criticality theory for Schrödinger operators on graphs
2017/08/31 by Keller, Matthias, Pinchover, Yehuda, Pogorzelski, Felix · 3 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics #Spectral Theory (math.SP)
- Diffusion determines the recurrent graph
2014/05/13 by Keller, Matthias, Lenz, Daniel, Schmidt, Marcel +1 · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Probability (math.PR)
- Intrinsic metrics on graphs: A survey
2014/07/28 by Matthias Keller, Keller, Matthias · 2 citations
Mathematics · #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Mathematical Dynamics and Fractals #Mathematical Physics (math-ph) #Metric Geometry (math.MG) #Nonlinear Partial Differential Equations #Spectral Theory (math.SP)
- Global properties of Dirichlet forms in terms of Green's formula
2014/12/10 by Haeseler, Sebastian, Keller, Matthias, Lenz, Daniel +2 · 2 citations
#FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Probability (math.PR)
- The Kazdan-Warner equation on canonically compactifiable graphs
2017/07/26 by Keller, Matthias, Schwarz, Michael · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG)
- A note on self-adjoint extensions of the Laplacian on weighted graphs
2012/08/31 by Xueping Huang, Matthias Keller, Huang, Xueping +5 · 2 citations
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations
- Optimal Hardy weights on the Euclidean lattice
2021/03/31 by Keller, Matthias, Lemm, Marius · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
- Generalized solutions and spectrum for Dirichlet forms on graphs
2010/02/04 by Sebastian Haeseler, Matthias Keller, Haeseler, Sebastian +1 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Spectral Theory in Mathematical Physics #Nonlinear Partial Differential Equations
- Volume Growth, Spectrum and Stochastic Completeness of Infinite Graphs
2011/05/02 by Keller, Matthias, Lenz, Daniel, Wojciechowski, Radoslaw K. · 1 citation
#39A12 #58J35 #FOS: Mathematics #Spectral Theory (math.SP)
- Spectral Analysis of Certain Spherically Homogeneous Graphs
2011/12/30 by Breuer, Jonathan, Keller, Matthias · 1 citation
#FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Spectral Theory (math.SP)
- A Feynman-Kac-It o Formula for magnetic Schr "odinger operators on\n graphs
2013/01/07 by Batu Güneysu, Güneysu, Batu, Matthias Keller +4 · 1 citation
Mathematics · #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Probability (math.PR) #Random Matrices and Applications #Spectral Theory in Mathematical Physics #advanced mathematical theories
- Harmonic functions of general graph Laplacians
2013/03/28 by Bobo Hua, Matthias Keller, Hua, Bobo +1 · 1 citation
Mathematics · #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Mathematical Physics (math-ph) #Metric Geometry (math.MG) #Nonlinear Partial Differential Equations #Probability (math.PR) #Spectral Theory in Mathematical Physics
- Gradient estimates, Bakry-Emery Ricci curvature and ellipticity for unbounded graph Laplacians
2018/07/26 by Matthias Keller, Florentin Münch, Keller, Matthias +1 · 2 citations
Mathematics · #05C81 #35K05 #53C21 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations
- Boundary representation of Dirichlet forms on discrete spaces
2017/11/22 by Keller, Matthias, Lenz, Daniel, Schmidt, Marcel +1 · 1 citation
#FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Spectral Theory (math.SP)
- An Improved Discrete p -Hardy Inequality
2019/10/07 by Florian Fischer, Fischer, Florian, Matthias Keller +3 · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #FOS: Physical sciences #Mathematical Approximation and Integration #Mathematical Physics (math-ph) #Spectral Theory (math.SP)
- Cheeger constants, growth and spectrum of locally tessellating planar graphs
2009/03/27 by Keller, Matthias, Peyerimhoff, Norbert · 1 citation
#FOS: Mathematics #Metric Geometry (math.MG) #Spectral Theory (math.SP)
- Anchored heat kernel upper bounds on graphs with unbounded geometry and anti-trees
2022/12/22 by Keller, Matthias, Rose, Christian · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
- Gaussian upper bounds, volume doubling and Sobolev inequalities on graphs
2024/06/28 by Keller, Matthias, Rose, Christian · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
- On Landis' conjecture for positive Schrödinger operators on graphs
2024/08/04 by Das, Ujjal, Keller, Matthias, Pinchover, Yehuda · 2 citations
#35B53 #35J10 #35R02 #39A12 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Spectral Theory (math.SP)
- The space of Hardy-weights for quasilinear operators on discrete graphs
2024/07/02 by Das, Ujjal, Keller, Matthias, Pinchover, Yehuda · 1 citation
#31C20 #35J62 #35R02 #39A12 #49J40 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Spectral Theory (math.SP)
- Neumann semigroup, subgraph convergence, form uniqueness, stochastic completeness and the Feller property
2023/10/23 by Keller, Matthias, Münch, Florentin, Wojciechowski, Radosław K. · 1 citation
#FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR)
- On Hodge Laplacians on General Simplicial Complexes
2025/08/11 by Bartmann, Philipp, Matthias Keller, Keller, Matthias · 3 citations
Mathematics · #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Geometry and complex manifolds #Metric Geometry (math.MG) #Spectral Theory in Mathematical Physics