Regularity of embeddings of infinite-dimensional fractal sets into finite-dimensional spaces

DOI10.1088/0951-7715/12/5/303zbMath0932.28006OpenAlexW1993404610MaRDI QIDQ4719509

Publication date: 28 February 2000

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/5c97fcf0ad98623d6db602a5a10158b31dfc2768

zbMATH Keywords

Hausdorff dimension Banach space Hölder exponent box-counting dimension linear and nonlinear projections image of a fractal set

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Fractals (28A80) Measures of information, entropy (94A17) Hausdorff and packing measures (28A78)

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