{"product_id":"graphs-and-discrete-dirichlet-spaces-matthias-keller-9783030814588","title":"Graphs and Discrete Dirichlet Spaces","description":"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. \u003cp\u003eThe 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.\u003c\/p\u003e \u003cp\u003e\u003ci\u003eGraphs and Discrete Dirichlet Spaces\u003c\/i\u003e 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.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Matthias Keller, Daniel Lenz, Radoslaw K. Wojciechowski\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3030814580\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783030814588\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 10\/23\/2021\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 668\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 2.49lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 1.44d","brand":"Matthias Keller","offers":[{"title":"Hardcover","offer_id":44129994866943,"sku":"9783030814588","price":169.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_905ca722-97d3-4760-837f-32cc83015de0.jpg?v=1687466952","url":"https:\/\/www.whiterainbookhouse.com\/products\/graphs-and-discrete-dirichlet-spaces-matthias-keller-9783030814588","provider":"WR Book House","version":"1.0","type":"link"}