Please use this identifier to cite or link to this item:
http://hdl.handle.net/10174/6457
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| Title: | Laplacians and the Cheeger constants for discrete dynamical systems |
| Authors: | Fernandes, Sara
Grácio, Clara
Sousa Ramos, José |
| Editors: | S Elaydi, J Cushing
R Lasser, A Ruffing
V Papageorgiou, W Van Assche |
| Keywords: | Discrete Laplacian
Cheeger constant
discrete dynamical system
systole |
| Issue Date: | May-2007 |
| Publisher: | WORLD SCIENTIFIC |
| Citation: | Fernandes, S.; Grácio, C.; Sousa Ramos, J. Laplacians and the Cheeger constants for discrete dynamical systems. Difference equations, special functions and orthogonal polynomials, 213--223, World Sci. Publ., Hackensack, NJ, (2007). |
| Abstract: | We consider discrete laplacians for iterated maps on the interval and examine their eigenvalues. We have introduced a notion of conductance (Cheeger constant) for a discrete dynamical system, now we study their relations with the spectrum. We compute the systoles and the first eigenvalue of some families of discrete dynamical systems. |
| URI: | http://hdl.handle.net/10174/6457 |
| ISBN: | 978-981-270-643-0 |
| Type: | article |
| Appears in Collections: | CIMA - Artigos em Livros de Actas/Proceedings
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