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Random Graph Asymptotics on High-Dimensional Tori

โœ Scribed by Markus Heydenreich; Remco van der Hofstad


Publisher
Springer
Year
2006
Tongue
English
Weight
304 KB
Volume
270
Category
Article
ISSN
0010-3616

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Asymptotic Behavior of the Transition Pr
โœ Motoko Kotani; Tomoyuki Shirai; Toshikazu Sunada ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 522 KB

Ideas cultivated in spectral geometry are applied to obtain an asymptotic property of a reversible random walk on an infinite graph satisfying a certain periodic condition. In the course of our argument, we employ perturbation theory for the maximal eigenvalues of twisted transition operator. As a r