Relative local variational principles for subadditive potentials

Details Relative local variational principles for subadditive potentials Relative local variational principles for subadditive potentials

2009-09-11

arxiv.org/abs/0909.2140v1

Mathematics

Dynamical Systems

38 pages

Scientific paper

We prove two relative local variational principles of topological pressure functions $P(T,\mathcal{F},\mathcal{U},y)$ and$P(T,\mathcal{F},\mathcal{U}|Y)$ for a given factor map $\pi$, an open cover $\mathcal{U} $ and a subadditive sequence of real-valued continuous functions $\mathcal{F}$. By proving the upper semi-continuity and affinity of the entropy maps $h_{\{\cdot\}}(T,\mathcal{U}\mid Y)$ and $h^+_{\{\cdot\}}(T,\mathcal{U}\mid Y)$ on the space of all invariant Borel probability measures, we show that the relative local pressure $P(T,\mathcal{\{\cdot\}},\mathcal{U}|Y)$ for subadditive potentials determines the local measure-theoretic conditional entropies.

Affiliated with

Also associated with

No associations

Rating

Relative local variational principles for subadditive potentials 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 Relative local variational principles for subadditive potentials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relative local variational principles for subadditive potentials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-428068