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Measure Theoretic Entropy of Discrete Geodesic Flow on Nagao Lattice Quotient

The discrete geodesic flow on Nagao lattice quotient of the space of bi-infinite geodesics in regular trees can be viewed as the right diagonal action on the double quotient of [Formula: see text] by [Formula: see text] and [Formula: see text]. We investigate the measure-theoretic entropy of the dis...

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Detalles Bibliográficos
Autor principal: Kwon, Sanghoon
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7824387/
https://www.ncbi.nlm.nih.gov/pubmed/33396224
http://dx.doi.org/10.3390/e23010052
Descripción
Sumario:The discrete geodesic flow on Nagao lattice quotient of the space of bi-infinite geodesics in regular trees can be viewed as the right diagonal action on the double quotient of [Formula: see text] by [Formula: see text] and [Formula: see text]. We investigate the measure-theoretic entropy of the discrete geodesic flow with respect to invariant probability measures.