Polynomial Shift States of a Chaotic Map

Details Polynomial Shift States of a Chaotic Map Polynomial Shift States of a Chaotic Map

Dec 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997jsp....89.1087d&link_type=abstract

Journal of Statistical Physics, Volume 89, Issue 5-6, pp. 1087-1096

Physics

Frobenius- Perron Operator, Generalized Spectral Decomposition, Finite Correlation Time, Approach To Equilibrium

Scientific paper

We present a piecewise- linear map of the unit interval in which the resolvent of the Frobenius- Perron operator, considered in a polynomial basis, has an essen-tial singularity at the origin. Associated with the essential singularity are polynomial shift states, which are obtained from creation and annihilation operators in non- self- dual function spaces. Correlation functions of general polynomial observables have decay components that vanish in a finite time.

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