A new class of entropic information measures, formal group theory and information geometry
From MaRDI portal
Publication:5160630
DOI10.1098/rspa.2018.0633zbMath1472.94040arXiv1807.01581OpenAlexW3106450019WikidataQ92254925 ScholiaQ92254925MaRDI QIDQ5160630
No author found.
Publication date: 29 October 2021
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.01581
Measures of information, entropy (94A17) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Foundations (20A99)
Related Items (7)
Algebraic structures and position-dependent mass Schrödinger equation from group entropy theory ⋮ Universality classes for the Fisher metric derived from relative group entropy ⋮ New computable entanglement monotones from formal group theory ⋮ Multivariate group entropies, super-exponentially growing complex systems, and functional equations ⋮ Complexity-based permutation entropies: from deterministic time series to white noise ⋮ A generalized permutation entropy for noisy dynamics and random processes ⋮ On the probability of the Condorcet jury theorem or the miracle of aggregation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Mathematical Theory of Communication
- Geometry of \(q\)-exponential family of probability distributions
- Beyond the Shannon-Khinchin formulation: the composability axiom and the universal-group entropy
- Information geometry and its applications
- Exact time-dependent solutions of the Rényi Fokker-Planck equation and the Fokker-Planck equations related to the entropies proposed by Sharma and Mittal
- The world according to Rényi: Thermodynamics of multifractal systems
- Possible generalization of Boltzmann-Gibbs statistics.
- A step beyond Tsallis and Rényi entropies
- General entropy-like uncertainty relations in finite dimensions
- A closed-form expression for the Sharma–Mittal entropy of exponential families
- Information Theory and Statistical Mechanics
- Uniqueness and characterization theorems for generalized entropies
- Introduction to Nonextensive Statistical Mechanics
- Asymptotic distribution of (h, φ)-entropies
- Formal groups and Z -entropies
This page was built for publication: A new class of entropic information measures, formal group theory and information geometry