@article{67a63ea2b9cf4790a865d56599b5881d,
title = "The geometric structures and instability of entropic dynamical models",
abstract = "In this paper, we characterize two entropic dynamical (ED) models from the viewpoint of information geometry and give the geometric structures of the associated statistical manifolds of the models. The scalar curvatures and the geodesics are obtained. Also the instability of entropic dynamical models is studied from the behavior of the geodesics lengths, statistical volume elements and Jacobi vector fields.",
keywords = "Geodesic, Information geometry, Jacobi field, Scalar curvature, Statistical manifold",
author = "Linyu Peng and Huafei Sun and Dandi Sun and Jin Yi",
note = "Funding Information: This work is supported by the National Natural Science Foundations of China, No. 10871218, No. 10932002. The authors would like to thank the referee for the helpful comments.",
year = "2011",
month = may,
day = "1",
doi = "10.1016/j.aim.2011.02.002",
language = "English",
volume = "227",
pages = "459--471",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Academic Press Inc.",
number = "1",
}