Fractal dimensions of states and their application to Ising model

DOI10.1016/0034-4877(96)83632-9zbMath0887.60093OpenAlexW2085067410MaRDI QIDQ1372487

Masanori Ohya, Takashi Matsuoka

Publication date: 23 April 1998

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(96)83632-9

zbMATH Keywords

Ising modelfractal dimensionmeasure for the complexity of states

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Critical phenomena in equilibrium statistical mechanics (82B27)

Cites Work

• States, effects, and operations. Fundamental notions of quantum theory. Lectures in mathematical physics at the University of Texas at Austin. Ed. by A. Böhm, J. D. Dollard and W. H. Wootters
• Some aspects of quantum information theory and their applications to irreversible processes
• Entropy transmission in \(C^*\)-dynamical systems
• Relative entropy of states of von Neumann algebras
• Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory
• On compound state and mutual information in quantum information theory (Corresp.)
• Mean Entropy of States in Quantum-Statistical Mechanics
• Conditional expectation in an operator algebra. IV. Entropy and information
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