Extensive escape rate in lattices of weakly coupled expanding maps with holes

Details Extensive escape rate in lattices of weakly coupled expanding maps with holes Extensive escape rate in lattices of weakly coupled expanding maps with holes

2010-06-29

arxiv.org/abs/1006.5528v1

Mathematics

Dynamical Systems

Scientific paper

This paper discusses possible approaches to the escape rate in infinite lattices of weakly coupled maps with uniformly expanding repeller. It is proved that computed-via-volume rates of spatially periodic approximations grow linearly with the period size, suggesting normalized escape rate as the appropriate notion for the infinite system. The proof relies on symbolic dynamics and is based on the control of cumulative effects of perturbations within cylinder sets. A piecewise affine diffusive example is presented that exhibits monotonic decay of the escape rate with coupling intensity.

Affiliated with

Also associated with

No associations

Rating

Extensive escape rate in lattices of weakly coupled expanding maps with holes 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 Extensive escape rate in lattices of weakly coupled expanding maps with holes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Extensive escape rate in lattices of weakly coupled expanding maps with holes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-314266