On the instability of two entropic dynamical models

In this paper we study two entropic dynamical models from the viewpoint of information geometry. We study the geometry structures of the associated statistical manifolds. In order to analyse the character of the instability of the systems, we obtain their geodesics and compute their Jacobi vector fi...

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Detalles Bibliográficos
Autores principales: Henry, G., Rodriguez, D.
Formato: JOUR
Materias:
information geometry
Riemannian manifolds
statistical manifolds
Mathematical techniques
Dynamical model
Geometry structure
Information geometry
Riemannian manifold
Statistical manifolds
Vector fields
Geometry
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_09600779_v91_n_p604_Henry
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario:In this paper we study two entropic dynamical models from the viewpoint of information geometry. We study the geometry structures of the associated statistical manifolds. In order to analyse the character of the instability of the systems, we obtain their geodesics and compute their Jacobi vector fields. The results of this work improve and extend a recent advance in this topics studied in Peng et al.[13]. © 2016 Elsevier Ltd

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