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math.DS2008★ 39 cited
A variational principle for topological pressure for certain non-compact sets
Daniel Thompson
Let be a compact metric space, be a continuous map with the specification property, and $φ: X \mapsto \IR$ be a continuous function. We prove a variational…
math.DS2008★ 1 cited
The Irregular Set for Maps with the Specification Property has Full Topological Pressure
Daniel Thompson
Let be a compact metric space, be a continuous map with the specification property, and $φ: X \mapsto \IR$ a continuous function. We consider the set of poi…
math.DS2008
A Thermodynamic Definition of Topological Pressure for Non-Compact Sets
Daniel Thompson
We give a new definition of topological pressure for arbitrary (non-compact, non-invariant) Borel subsets of metric spaces. This new quantity is defined via a suitable variational…