Matthias Keller

Mathematical Physics · with Lenz · 2009–2017

A researcher in the Science corpus: 8 papers; trusts 20 researchers and is trusted by 16 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 48 citations into it; #1,643 of 8,562 by trust here, #1,240 by citations
• Computational Theory and Mathematics — 42 citations into it; #4,020 of 12,182 by trust here, #4,531 by citations
• Applied Mathematics — 34 citations into it; #7,050 of 7,620 by trust here, #2,480 by citations
• Geometry and Topology — 31 citations into it; #1,249 of 7,422 by trust here, #825 by citations
• Statistics and Probability — 11 citations into it
• Statistical and Nonlinear Physics — 9 citations into it
• Condensed Matter Physics — 5 citations into it

Whom Matthias Keller trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Radoslaw K. Wojciechowski
2. Andreas Weber
3. Huabin Ge
4. Alexander Grigorʼyan
5. Daniel Lenz
6. Xueping Huang
7. Bobo Hua
8. Sebastian Haeseler
9. M. Folz
10. Yann Ollivier

Who trusts Matthias Keller overall

1. M. Folz
2. Xueping Huang
3. Daniel Lenz
4. Bobo Hua
5. Radoslaw K. Wojciechowski
6. Sebastian Haeseler
7. Agelos Georgakopoulos
8. Frank Bauer
9. J. Masamune
10. Sylvain Golénia

Papers from Matthias Keller's perspective

Ordered by how strongly the researchers Matthias Keller trusts endorse each paper. Same corpus, a different order for every researcher.

1. On stochastic completeness of jump processes
2. Analysis on Fractals: Index
3. On the geometry of metric measure spaces. II
4. Gaussian Upper Bounds for Heat Kernels of Continuous Time Simple Random Walks
5. Harmonic analysis for resistance forms
6. A note on self-adjoint extensions of the Laplacian on weighted graphs
7. Analysis of the physical Laplacian and the heat flow on a locally finite graph
8. Ricci curvature for metric-measure spaces via optimal transport
9. On uniqueness class for a heat equation on graphs
10. Ricci curvature of Markov chains on metric spaces

Their papers

• Dirichlet forms and stochastic completeness of graphs and subgraphs (2009) — 252 citations
• Graphs of finite measure (2013) — 47 citations
• The Kazdan–Warner equation on canonically compactifiable graphs (2017) — 64 citations
• A note on self-adjoint extensions of the Laplacian on weighted graphs (2012) — 119 citations
• Cheeger inequalities for unbounded graph Laplacians (2012) — 67 citations
• Volume growth, spectrum and stochastic completeness of infinite graphs (2011) — 80 citations
• Unbounded Laplacians on Graphs: Basic Spectral Properties and the Heat Equation (2011) — 159 citations
• Generalized Solutions and Spectrum for Dirichlet Forms on Graphs (2010) — 76 citations