๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Spectral decomposition of piecewise linear monotonic maps

โœ Scribed by I. Antoniou; Bi Qiao

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
779 KB
Volume
7
Category
Article
ISSN
0960-0779

No coin nor oath required. For personal study only.

โœฆ Synopsis

We construct a generalized spectral decomposition of the Frobcnius-Pcrron operator for one class of piecewise linear monotonic maps by using a general, iterative, operator method which is applicable in principle for any mixing dynamical system. The Jordan b&k structure is specified and analyzed. The eigenvalues in the decomposition are related to the decay rates of the correlation functions. We explicitly define appropriate generalized function spaces which provide mathematical meaning to the spectral decomposition. Copyright @I996 Elsevier Science Ltd.

๐Ÿ“œ SIMILAR VOLUMES

Spectral characterization of anomalous d
Spectral characterization of anomalous diffusion of a periodic piecewise linear intermittent map
โœ S. Tasaki; P. Gaspard ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 157 KB

For a piecewise linear version of the periodic map with anomalous diffusion, the evolution of statistical averages of a class of observables with respect to piecewise constant initial densities is investigated and generalized eigenfunctions of the Frobenius-Perron (FP) operator are explicitly derive