caa a22 4500 463197771 CHVBK 20180406164927.0 cr unu---uuuuu 170326e20071101xx s 000 0 eng 10.1007/s10773-007-9395-1 doi (NATIONALLICENCE)springer-10.1007/s10773-007-9395-1 A Novel Moment Approach for Calculation of the Perron-Frobenius Spectrum [Elektronische Daten] [S. Behnia, S. Ahadpour, E. Faizi] The spectral properties of the Perron-Frobenius operator of the one-dimensional maps are studied by using the moment. In this paper we make an investigation into the properties of self-similar measures related to the theory of orthogonal polynomials. Numerical investigation of a particular family of maps shows that the spectrum generates the invariant measure. Analytical considerations generalize the results to a broader class of the maps. Some examples of this method are presented through out the paper. Springer Science+Business Media, LLC, 2007 Invariant measure nationallicence Orthogonal polynomials nationallicence Stieltjes transform nationallicence Chaotic dynamical system nationallicence Behnia S. Department of Physics, IAU, Ourmia, Iran aut Ahadpour S. Department of Physics, Mohaghegh Ardabili University, Ardabil, Iran aut Faizi E. Department of Theoretical Physics and Astrophysics, Tabriz University, 51664, Tabriz, Iran aut International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/11(2007-11-01), 2836-2842 0020-7748 46:11<2836 2007 46 10773 https://doi.org/10.1007/s10773-007-9395-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-007-9395-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Behnia S. Department of Physics, IAU, Ourmia, Iran aut NATIONALLICENCE 700 1- Ahadpour S. Department of Physics, Mohaghegh Ardabili University, Ardabil, Iran aut NATIONALLICENCE 700 1- Faizi E. Department of Theoretical Physics and Astrophysics, Tabriz University, 51664, Tabriz, Iran aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/11(2007-11-01), 2836-2842 0020-7748 46:11<2836 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer