Graphs and Discrete Dirichlet Spaces is popular PDF and ePub book, written by Matthias Keller in 2021-10-22, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Graphs and Discrete Dirichlet Spaces can be Read Online from any device for your convenience.
Graphs and Discrete Dirichlet Spaces Book PDF Summary
The spectral geometry of infinite graphs deals with three major themes and their interplay: the spectral theory of the Laplacian, the geometry of the underlying graph, and the heat flow with its probabilistic aspects. In this book, all three themes are brought together coherently under the perspective of Dirichlet forms, providing a powerful and unified approach. 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 of the 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.
Detail Book of Graphs and Discrete Dirichlet Spaces PDF
- Author : Matthias Keller
- Release : 22 October 2021
- Publisher : Springer Nature
- ISBN : 9783030814595
- Genre : Mathematics
- Total Page : 675 pages
- Language : English
- PDF File Size : 9,9 Mb
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