A Livšic-type theorem and some regularity properties for nonadditive sequences of potentials
Year: 2024
Type: article
Abstract: 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 to characterize almost additive sequences based on their equilibrium measures and also show how to obtain almost (and asymptotically) additive sequences of Hölder continuous functions satisfying the bounded variation condition (with a unique equilibrium measure) and which are not physically equivalent to any additive sequence generated by a Hölder continuous function. Moreover, we also use our main result to suggest a classification of almost additive sequences based on physical equivalence relations with respect to the classical additive setup.
Source: Journal of Mathematical Physics
DOI: 10.1063/5.0181706
Authors: Carllos Eduardo Holanda, Eduardo Santana
Institutions: Shantou University, Universidade Federal de Alagoas
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G239404273, G8971560328
OpenAlex ID: W4401821121