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Richard Kautz: Chaos—The Science of Predictable Random Motion

✍ Scribed by Rainer Klages


Book ID
106431994
Publisher
Springer
Year
2011
Tongue
English
Weight
107 KB
Volume
144
Category
Article
ISSN
0022-4715

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Random walk and chaos of the spectrum. S
✍ Leonid Malozemov 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 739 KB

We consider the spectrum of the Laplacian corresponding to the random walk on the fractal graph depending on parameter /3 > 0. The spectrum of this Laplacian is given by the iteration of the polynomial R(/l, x) = -(/l + 2)x(x -2) and the Julia set of this polynomial is the main part of the spectrum