# Higher-Dimensional Nonlinear Thermodynamic Formalism

@article{Barreira2022HigherDimensionalNT,
title={Higher-Dimensional Nonlinear Thermodynamic Formalism},
author={Lu{\'i}s Barreira and Carllos Holanda},
journal={Journal of Statistical Physics},
year={2022}
}
• Published 18 November 2021
• Mathematics
• Journal of Statistical Physics
Recently, Buzzi and Leplaideur [BL20] introduced a variation of the thermodynamic formalism, which they called nonlinear thermodynamic formalism. Roughly speaking, this amounts to compute the topological pressure replacing Birkhoff sums by images of them under a given function (that may be nonlinear and thus the name). Our main aim is twofold: (1) to introduce a higher-dimensional version of their notion of topological pressure, replacing a potential by a family of potentials, and to establish…

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