Differentiability of the pressure in non-compact spaces

  title={Differentiability of the pressure in non-compact spaces},
  author={Godofredo Iommi and Mike Todd},
  journal={Fundamenta Mathematicae},
  • G. IommiM. Todd
  • Published 20 October 2020
  • Mathematics
  • Fundamenta Mathematicae
Regularity properties of the pressure are related to phase transitions. In this article we study thermodynamic formalism for systems defined in non-compact phase spaces, our main focus being countable Markov shifts. We produce metric compactifications of the space which allow us to prove that the pressure is differentiable on a residual set and outside an Aronszajn null set in the space of uniformly continuous functions. We establish a criterion, the so called sectorially arranged property… 
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