Characterization of the complexity of an ED model via information geometry

Chunhui Li; Huafei Sun; Shicheng Zhang

doi:10.1140/epjp/i2013-13070-8

EPJ

Characterization of the complexity of an ED model via information geometry

Chunhui Li¹³⁶¹, Huafei Sun¹³⁶¹^* and Shicheng Zhang²³⁶¹

¹³⁶¹ School of Mathematics, Beijing Institute of Technology, 100081, Beijing, China
²³⁶¹ School of Mathematics, Xuzhou Normal University, Jiangsu, 221116, Xuzhou, China

Received: 11 March 2013
Revised: 23 April 2013
Accepted: 8 June 2013
Published online: 2 July 2013

Abstract

Characterization of the complexity of an entropic dynamical model is investigated from the viewpoint of information geometry. By introducing a Riemannian metric with respect to the underlying statistical manifold, the geometric structure is achieved. Based on the general construction, the instability of the geodesic spreads on this manifold is analyzed via the associated Jacobi vector field. Entropic dynamical models with microstates spanning on its submanifold are studied similarly.