The \(p\lambda n\) fractal decomposition: nontrivial partitions of conserved physical quantities

DOI10.1016/j.chaos.2015.11.028zbMath1355.28013arXiv1505.02547OpenAlexW2119509269MaRDI QIDQ509200

Vladimir García-Morales

Publication date: 9 February 2017

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.02547

zbMATH Keywords

Cantor setquantum mechanicsfractalsstatistical mechanics

Mathematics Subject Classification ID

Fractals (28A80) Statistical thermodynamics (82B30)

Related Items

Fractal surfaces from simple arithmetic operations ⋮ A constructive theory of shape ⋮ Nonlinear embeddings: applications to analysis, fractals and polynomial root finding ⋮ Semipredictable dynamical systems ⋮ Digit replacement: A generic map for nonlinear dynamical systems ⋮ Diagrammatic approach to cellular automata and the emergence of form with inner structure

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fractal patterns related to dividing coins
• Emergence of the Sierpinski gasket in coin-dividing problems
• Symmetry analysis of cellular automata
• Thermodynamics based on the principle of least abbreviated action: Entropy production in a network of coupled oscillators
• Generalized Trotter's formula and systematic approximants of exponential operators and inner derivations with applications to many-body problems
• Critical behavior from Landau theory in nanothermodynamic equilibrium
• Critical phenomena in natural sciences. Chaos, fractals, selforganization and disorder: concepts and tools.
• Substitution systems and nonextensive statistics
• Possible generalization of Boltzmann-Gibbs statistics.
• Quantum mechanics and the principle of least radix economy
• Universal map for cellular automata
• Correct thermodynamic forces in Tsallis thermodynamics: connection with Hill nanothermodynamics
• Fractals and quantum mechanics
• General theory of fractal path integrals with applications to many-body theories and statistical physics
• Asymptotically scale-invariant occupancy of phase space makes the entropy S _q extensive
• Bernoulli Numbers and Zeta Functions
• On Estimates in Number Theory
• Theory of Quasi-Groups
• Superstatistics