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math.DS2023
A Livšic-type theorem and some regularity properties for nonadditive sequences of potentials
Carllos Eduardo Holanda, Eduardo Santana
We study some notions of cohomology for asymptotically additive sequences and prove a Livšic-type result for almost additive sequences of potentials. As a consequence, we are able…
math.DS2022★ 3 cited
Nonadditive families of potentials: physical equivalence and some regularity relations
Carllos Eduardo Holanda
We show that additive and asymptotically additive families of continuous functions with respect to suspension flows are physically equivalent. In particular, the equivalence result…
math.DS2021★ 11 cited
Higher-dimensional nonlinear thermodynamic formalism
Luís Barreira, Carllos Eduardo Holanda
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. I…