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Abstract:

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

Registro:

Documento: Artículo
Título:On the instability of two entropic dynamical models
Autor:Henry, G.; Rodriguez, D.
Filiación:Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires and CONICET, Argentina
Palabras clave:information geometry; Riemannian manifolds; statistical manifolds; Mathematical techniques; Dynamical model; Geometry structure; Information geometry; Riemannian manifold; Statistical manifolds; Vector fields; Geometry
Año:2016
Volumen:91
Página de inicio:604
Página de fin:609
DOI: http://dx.doi.org/10.1016/j.chaos.2016.08.013
Título revista:Chaos, Solitons and Fractals
Título revista abreviado:Chaos Solitons Fractals
ISSN:09600779
CODEN:CSFOE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09600779_v91_n_p604_Henry

Referencias:

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  • Do Carmo, M., Riemannian Geometry (1992), Birkhäuser, Boston; Cafaro, C., Ali, S., Jacobi fields on statistical manifolds of negative curvature (2007) Phys D, 234, pp. 70-80
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  • Li, T., Peng, L., Sun, H., The geometric structure of the inverse gamma distribution (2008) Beitrage Algebra Geom (Contributions to Algebra and Geometry), 49, pp. 217-225
  • Murray, M.K., Rice, J.W., Differential Geometry and Statistics (1993), Chapman and Hall, London; Peng, L., Sun, H., Sun, D., Yi, J., The geometric structures and instability of entropic dynamical models (2011) Adv Math, 227, pp. 459-471
  • Reed, W., Jorgensen, M., The double pareto-lognormal distribution – a new parametric model for size distributions (2004) Commun Statis Theor Methods, 33, pp. 1733-1753
  • Rosin, P., Rammler, E., The laws governing the fineness of powdered coal (1933) J Ins Fuel, 7, pp. 29-36
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Citas:

---------- APA ----------
Henry, G. & Rodriguez, D. (2016) . On the instability of two entropic dynamical models. Chaos, Solitons and Fractals, 91, 604-609.
http://dx.doi.org/10.1016/j.chaos.2016.08.013
---------- CHICAGO ----------
Henry, G., Rodriguez, D. "On the instability of two entropic dynamical models" . Chaos, Solitons and Fractals 91 (2016) : 604-609.
http://dx.doi.org/10.1016/j.chaos.2016.08.013
---------- MLA ----------
Henry, G., Rodriguez, D. "On the instability of two entropic dynamical models" . Chaos, Solitons and Fractals, vol. 91, 2016, pp. 604-609.
http://dx.doi.org/10.1016/j.chaos.2016.08.013
---------- VANCOUVER ----------
Henry, G., Rodriguez, D. On the instability of two entropic dynamical models. Chaos Solitons Fractals. 2016;91:604-609.
http://dx.doi.org/10.1016/j.chaos.2016.08.013