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Fractals and Symbolic Dynamics as Invariant Descriptors of Chaos in General Relativity

1997/09/15 by Neil J. Cornish, Cornish, Neil J.
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Advanced Mathematical Theories and Applications #FOS: Physical sciences #Fractal and DNA sequence analysis #General Relativity and Quantum Cosmology (gr-qc) #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.gr-qc/9709036

openalex publication_date 1997/09/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The study of dynamics in general relativity has been hampered by a lack of coordinate independent measures of chaos. Here I review a variety of invariant measures for quantifying chaotic dynamics in relativity that exploit the coordinate independence of fractal dimensions and symbolic entropies.

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