Pressures for Asymptotically Sub-additive Potentials Under a Mistake Function

Details Pressures for Asymptotically Sub-additive Potentials Under a Mistake Function Pressures for Asymptotically Sub-additive Potentials Under a Mistake Function

2010-08-26

arxiv.org/abs/1008.4465v1

Mathematics

Dynamical Systems

13pages

Scientific paper

This paper defines the pressure for asymptotically subadditive potentials under a mistake function, including the measuretheoretical and the topological versions. Using the advanced techniques of ergodic theory and topological dynamics, we reveals a variational principle for the new defined topological pressure without any additional conditions on the potentials and the compact metric space.

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