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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We thank the referees for the carefully reading of our work and for the constructive and helpful comments.
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Communicated by Peter Balint.
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Partially supported by FCT/Portugal through CAMGSD, IST-ID, Projects UIDB/04459/2020 and UIDP/04459/2020. C.H. was supported by FCT/Portugal through the grant PD/BD/135523/2018.
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Barreira, L., Holanda, C. Higher-Dimensional Nonlinear Thermodynamic Formalism. J Stat Phys 187, 18 (2022). https://doi.org/10.1007/s10955-022-02916-4
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DOI: https://doi.org/10.1007/s10955-022-02916-4