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Noncommutative Riemannian geometry on graphs

✍ Scribed by Majid, Shahn

Book ID
120184045
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
544 KB
Volume
69
Category
Article
ISSN
0393-0440

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We study the form of the continuous time heat kernel for a second order discrete Laplacian on a weighted graph. The analysis is shown to be closely related to the theory of symmetric Markov semigroups on noncommutative \(L^{p}\) spaces and to the noncommutative geometry of Connes. The paper obtains