Subsets of a Hilbert space, having finite Hausdorff dimension

DOI10.1007/BF02208720zbMath0696.46021MaRDI QIDQ910661

Victor Shubov

Publication date: 1990

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hausdorff measureinformational measuretheory of attractors for certain nonlinear evolution equations

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Length, area, volume, other geometric measure theory (28A75) Measures of information, entropy (94A17) Inner product spaces and their generalizations, Hilbert spaces (46C99)

Related Items (1)

Estimates for the fractal dimension and the number of determining modes for invariant sets of dynamical systems

Cites Work

• Attractors of partial differential evolution equations and estimates of their dimension
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