Corpus ID: 233481377

Entropy, pressure, ground states and calibrated sub-actions for linear dynamics

@inproceedings{Lopes2021EntropyPG,
  title={Entropy, pressure, ground states and calibrated sub-actions for linear dynamics},
  author={Artur O. Lopes and Victor Vargas},
  year={2021}
}
Denote byX a Banach space and by T : X → X a bounded linear operator with non-trivial kernel satisfying suitable conditions. We consider the concepts of entropy for T -invariant probability measures and pressure for Hölder continuous potentials. We also prove the existence of ground states (the limit when temperature goes to zero) associated with such class of potentials when the Banach space X is equipped with a Schauder basis. We produce an example concerning weighted shift operators defined… Expand
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