Transfer Operators for Coupled Analytic Maps

Details Transfer Operators for Coupled Analytic Maps Transfer Operators for Coupled Analytic Maps

1997-11-18

arxiv.org/abs/chao-dyn/9711018v1

Nonlinear Sciences

Chaotic Dynamics

44 pages, Latex + 2 post script figures

Scientific paper

We consider analytic coupled map lattices over $\Z^d$ with exponentially decaying interaction. We introduce Banach spaces for the infinite-dimensional system that include measures with analytic, exponentially bounded finite dimensional marginals. Using residue calculus and `cluster expansion'-like techniques we define transfer operators on these Banach spaces. For these we get a unique probability measure that exhibits exponential decay of correlations.

Affiliated with

Also associated with

No associations

Rating

Transfer Operators for Coupled Analytic Maps does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Transfer Operators for Coupled Analytic Maps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Transfer Operators for Coupled Analytic Maps will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-572736