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Information geometric methods for complexity (Q4565931)

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scientific article; zbMATH DE number 6888281

Language	Label	Description	Also known as
English	Information geometric methods for complexity	scientific article; zbMATH DE number 6888281

Statements

scholarly article

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Information geometric methods for complexity (English)

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Domenico Felice

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Stefano Mancini

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Chaos: An Interdisciplinary Journal of Nonlinear Science

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publication date

13 June 2018

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full work available at URL

https://arxiv.org/abs/1801.03026

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zbMATH Keywords

information geometry

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phase transitions

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MaRDI profile type

MaRDI publication profile

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Quantum theory: concepts and methods

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Differential-geometrical methods in statistics

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Information geometry and its applications

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Information Geometry

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Geometrical structure of the state space in classical statistical and phenomenological thermodynamics

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What is complexity?

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Measures of statistical complexity: why?

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Uncertainty, predictability and decidability in chaotic dynamical systems

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Three approaches to the quantitative definition of information<sup>*</sup>

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Logical basis for information theory and probability theory

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CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY

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On the relation between entropy and the average complexity of trajectories in dynamical systems

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Stochastic complexity and modeling

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How should complexity scale with system size?

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Theoretical investigations of an information geometric approach to complexity

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Differential geometry of curved exponential families. Curvatures and information loss

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Any statistical manifold has a contrast function. On the \(C^ 3\)- functions taking the minimum at the diagonal of the product manifold

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The information geometry of the one-dimensional Potts model

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Geometry and thermodynamic fluctuations of the Ising model on a Bethe lattice

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Phase transition strength through densities of general distributions of zeroes

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The Spherical Model of a Ferromagnet

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Information geometry of finite Ising models

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Quantifying networks complexity from information geometry viewpoint

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The volume of Gaussian states by information geometry

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Complex networks: structure and dynamics

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A Random Graph Model for Power Law Graphs

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The asymptotic number of labeled graphs with given degree sequences

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Information geometry on hierarchy of probability distributions

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An information-geometric approach to a theory of pragmatic structuring

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Markov fields and log-linear interaction models for contingency tables

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Toward a quantitative theory of self-generated complexity

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A geometric approach to complexity

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Information geometry on complexity and stochastic interaction

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Causation entropy from symbolic representations of dynamical systems

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Geometrodynamics of Information on Curved Statistical Manifolds and its Applications to Chaos

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Jacobi fields on statistical manifolds of negative curvature

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Reexamination of an information geometric construction of entropic indicators of complexity

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Information-geometric indicators of chaos in Gaussian Models on statistical manifolds of negative Ricci Curvature

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Information geometric complexity of a trivariate Gaussian statistical model

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A Guide to Monte Carlo Simulations in Statistical Physics

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Riemannian structure on manifolds of quantum states

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Information-Theoretic Differential Geometry of Quantum Phase Transitions

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Statistical distance and the geometry of quantum states

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Ground state fidelity and quantum phase transitions in free Fermi systems

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Softening the Complexity of Entropic Motion on Curved Statistical Manifolds

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Some features of the statistical complexity, Fisher–Shannon information and Bohr-like orbits in the quantum isotropic harmonic oscillator

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INFORMATION GEOMETRY, INFERENCE METHODS AND CHAOTIC ENERGY LEVELS STATISTICS

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Local softening of information geometric indicators of chaos in statistical modeling in the presence of quantum-like considerations

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Geometries of quantum states

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Covariance and Fisher information in quantum mechanics

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Wigner–Yanase information on quantum state space: The geometric approach

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On the monotonicity of scalar curvature in classical and quantum information geometry

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Uncertainty principle and quantum Fisher information

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Uncertainty principle and quantum Fisher information. II.

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Classical and quantum Fisher information in the geometrical formulation of quantum mechanics

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Hamilton-Jacobi approach to potential functions in information geometry

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Geometry and topology in Hamiltonian dynamics and statistical mechanics

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Identifiers

zbMATH Open document ID

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10.1063/1.5018926

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4565931

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