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Título:
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Multivariate group entropies, super-exponentially growing complex systems, and functional equations
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Autores:
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Tempesta, Piergiulio
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Tipo de documento:
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texto impreso
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Editorial:
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Amer Inst Physics, 2020-12
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Física: Física-Modelos matemáticos
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Materia = Ciencias: Física: Física matemática
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Tipo = Artículo
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Resumen:
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We define the class of multivariate group entropies as a novel set of information-theoretical measures, which extends significantly the family of group entropies. We propose new examples related to the "super-exponential" universality class of complex systems; in particular, we introduce a general entropy, representing a suitable information measure for this class. We also show that the group-theoretical structure associated with our multivariate entropies can be used to define a large family of exactly solvable discrete dynamical models. The natural mathematical framework allowing us to formulate this correspondence is offered by the theory of formal groups and rings.
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En línea:
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https://eprints.ucm.es/id/eprint/63562/1/TempestaP%2006%20Preprint.pdf
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