Works on an information geometrodynamical approach to chaos
arXiv:0810.4639 · doi:10.1016/j.chaos.2008.04.017
Abstract
In this paper, I propose a theoretical information-geometric framework suitable to characterize chaotic dynamical behavior of arbitrary complex systems on curved statistical manifolds. Specifically, I present an information-geometric analogue of the Zurek-Paz quantum chaos criterion of linear entropy growth and an information-geometric characterization of regular and chaotic quantum energy level statistics.
7 pages, in press in "Chaos, Solitons and Fractals"
References in corpus (6)
- Operator space entanglement entropy in transverse Ising chain
- Is efficiency of classical simulations of quantum dynamics related to integrability?
- Jacobi Fields on Statistical Manifolds of Negative Curvature
- From Information Geometry to Newtonian Dynamics
- Hypersensitivity and chaos signatures in the quantum baker's maps
- Information Geometry and Chaos on Negatively Curved Statistical Manifolds
Cited by in corpus (26)
- Information geometric methods for complexity
- The Effect Of Microscopic Correlations On The Information Geometric Complexity Of Gaussian Statistical Models
- Can chaotic quantum energy levels statistics be characterized using information geometry and inference methods?
- Quantifying The Complexity Of Geodesic Paths On Curved Statistical Manifolds Through Information Geometric Entropies and Jacobi Fields
- Quantifying Networks Complexity from Information Geometry Viewpoint
- Comparing metrics for mixed quantum states: Sjoqvist and Bures
- Information Geometric Modeling of Scattering Induced Quantum Entanglement
- Maximum Caliber Inference and the Stochastic Ising Model
- Complexity of Pure and Mixed Qubit Geodesic Paths on Curved Manifolds
- Information Geometry of Quantum Entangled Gaussian Wave-Packets
- Theoretical investigations of an information geometric approach to complexity
- Information geometric complexity of a trivariate Gaussian statistical model
- A geometric entropy detecting the Erdös-Rényi phase transition
- Riemannian-geometric entropy for measuring network complexity
- Notions of the ergodic hierarchy for curved statistical manifolds
- Local softening of information geometric indicators of chaos in statistical modeling in the presence of quantum-like considerations
- On The Complexity Of Statistical Models Admitting Correlations
- On the instability of two entropic dynamical models
- Complexity Characterization in a Probabilistic Approach to Dynamical Systems Through Information Geometry and Inductive Inference
- Ergodic statistical models: entropic dynamics and chaos
- Information geometric complexity of entropic motion on curved statistical manifolds
- Catching homologies by geometric entropy
- Hermite-Gaussian model for quantum states
- Reexamination of an Information Geometric Construction of Entropic Indicators of Complexity
- Softening the Complexity of Entropic Motion on Curved Statistical Manifolds
- An information geometric perspective on the complexity of macroscopic predictions arising from incomplete information