On Symmetric Sensitivity

Details On Symmetric Sensitivity On Symmetric Sensitivity

2005-01-14

arxiv.org/abs/math/0501222v1

Mathematics

Dynamical Systems

Scientific paper

We define the concept of symmetric sensitivity with respect to initial conditions for the endomorphisms on Lebesgue metric spaces. The idea is that the orbits of almost every pair of nearby initial points (for the product of the invariant measure) of a symmetrically sensitive map may diverge from a positive quantity independent of the initial points. We study the relationships between symmetric sensitivity and weak mixing, symmetric sensitivity and positiveness of metric entropy and we compute the largest sensitivity constant.

Affiliated with

Also associated with

No associations

Rating

On Symmetric Sensitivity 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 On Symmetric Sensitivity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Symmetric Sensitivity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-88005