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arXiv · 2111.09853

Higher-dimensional nonlinear thermodynamic formalism

Luís Barreira·Carllos Eduardo Holanda
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Abstract

We introduce a higher-dimensional version of the nonlinear thermodynamic formalism introduced by Buzzi and Leplaideur, in which a potential is replaced by a family of potentials. In particular, we establish a corresponding variational principle and we discuss the existence, characterization, and number of equilibrium measures for this higher-dimensional version.

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Luís Barreira, Carllos Eduardo Holanda. 2021-11-18. Higher-dimensional nonlinear thermodynamic formalism. https://doi.org/10.1007/s10955-022-02916-4

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