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Phys. Rev. E 63, 046209 (2001) [6 pages]

Multiple Perron-Frobenius operators

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Yu. Dabaghian*
Department of Physics, Wesleyan University, Middletown, Connecticut 06459-0155

Received 3 June 2000; published 28 March 2001

A cycle expansion technique for discrete sums of several PF operators, similar to the one used in the standard classical dynamical ζ-function formalism is constructed. It is shown that the corresponding expansion coefficients show an interesting universal behavior, which illustrates the details of the interference between the particular mappings entering the sum.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.63.046209
DOI:
10.1103/PhysRevE.63.046209
PACS:
05.45.Ac, 05.40.Ca, 03.65.Sq

*Email address: ydabaghian@wesleyan.edu