Cantorian distance, statistical mechanics and universal behaviour of multi-dimensional triadic sets

DOI10.1016/0895-7177(93)90195-5zbMath0777.58050OpenAlexW2057485334MaRDI QIDQ1802479

Mohamed Saladin El Naschie

Publication date: 8 December 1993

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(93)90195-5

zbMATH Keywords

Cantor setsstatistical mechanicsSierpinski spacestatistical cellular space\(n\)-dimensional dynamical system4- dimensional phase spacetriadic sets

Mathematics Subject Classification ID

Related Items (11)

Internal Cantor distance and entropy of multidimensional Peano-Hilbert spaces ⋮ Semiconductors and Cantorian spectra ⋮ Dimensions and Cantor spectra ⋮ Statistical geometry of a Cantor discretum and semiconductors ⋮ Gibbs' theorem for open systems with incomplete statistics ⋮ Incomplete information and fractal phase space ⋮ Semiconductors, Fermi statistics and multi-dimensional Cantor sets ⋮ KAM orbits and dimensional criticality ⋮ On dimensions of Cantor set related systems ⋮ The mean uncertainty and distance dimension of multidimensional Cantorian spaces ⋮ Orbits stability and dimensional criticality of Cantor sets

Cites Work

• On strange nonchaotic attractors and their dimensions
• Peano dynamics as a model for ergodic and strange nonchaotic behaviour
• On certain infinite dimensional Cantor sets and the Schrödinger wave
• On the Susceptibility of Local Elastic Buckling to Chaos
• Statistical mechanics of cellular automata
• Differentiable dynamical systems
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