Ergodic Optimization of Super-continuous Functions in the Shift

Details Ergodic Optimization of Super-continuous Functions in the Shift Ergodic Optimization of Super-continuous Functions in the Shift

2011-01-14

arxiv.org/abs/1101.2706v2

Mathematics

Dynamical Systems

Scientific paper

Ergodic Optimization is the process of finding invariant probability measures that maximize the integral of a given function. It has been conjectured that "most" functions are optimized by measures supported on a periodic orbit, and it has been proved in several separable spaces that an open and dense subset of functions is optimized by measures supported on a periodic orbit. We add to these positive results by presenting a non-separable space, the class of super-continuous functions, where the set of functions optimized by periodic orbit measures contains an open subset dense in super-continuous functions.

Affiliated with

Also associated with

No associations

Rating

Ergodic Optimization of Super-continuous Functions in the Shift 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 Ergodic Optimization of Super-continuous Functions in the Shift, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ergodic Optimization of Super-continuous Functions in the Shift will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-78412