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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
Issue Date: May-2007
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.
ISBN: 978-981-270-643-0
Type: article
Appears in Collections:CIMA - Artigos em Livros de Actas/Proceedings

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