Graphs and Discrete Dirichlet Spaces
Language: English
Published by Springer, 2021
- Hardcover
- Used

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- Title
- Graphs and Discrete Dirichlet Spaces
- Author
- Keller, Matthias; Lenz, Daniel; Wojciechowski, Radoslaw K.
- Publisher
- Springer
- Publication year
- 2021
- Condition
- As New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 3030814580
- ISBN 13
- 9783030814588
- Series
- Book 175 of 184: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge/A Series of Modern Surveys in Mathematics
The book gives a complete account of key topics of infinite graphs, such as essential self-adjointness, Markov uniqueness, spectral estimates, recurrence, and stochastic completeness. A major feature of the book is the use of intrinsic metrics to capture the geometry of graphs. As for manifolds, Dirichlet forms in the graph setting offer a structural understanding of the interaction between spectral theory, geometry and probability. For graphs, however, the presentation is much more accessible and inviting thanks to the discreteness of the underlying space, laying bare the main concepts while preserving the deep insights ofthe manifold case.
Graphs and Discrete Dirichlet Spaces offers a comprehensive treatment of the spectral geometry of graphs, from the very basics to deep and thorough explorations of advanced topics. With modest prerequisites, the book can serve as a basis for a number of topics courses, starting at the undergraduate level.
"Synopsis" may belong to another edition of this title.
About the Author
Daniel Lenz obtained his PhD in Frankfurt am Main. After prolonged stays in Jerusalem, Chemnitz and Houston, he is now a professor at the Friedrich Schiller University in Jena.
Radoslaw Wojciechowski got his PhD at the Graduate Center of the City University of New York following his undergraduate studies at Indiana University Bloomington. After a postdoc period in Lisbon he is now a professor at York College and the Graduate Center in New York City.
"About the title" may belong to another edition of this title.
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