Hausdorff and upper box dimension estimate of hyperbolic recurrent sets

DOI10.1007/S11856-014-0028-0zbMath1311.37011OpenAlexW2106548307MaRDI QIDQ466087

Mrinal Kanti Roychowdhury

Publication date: 24 October 2014

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

Full work available at URL: https://doi.org/10.1007/s11856-014-0028-0

zbMATH Keywords

Hausdorff dimensionbox dimensionhyperbolic recurrent iterated function systemsOpen set condition

Mathematics Subject Classification ID

Dynamical systems with hyperbolic orbits and sets (37D05) Dimension theory of smooth dynamical systems (37C45)

Related Items (5)

Fractal dimensions of subfractals induced by sofic subshifts ⋮ BOUNDED VARIATION ON THE SIERPIŃSKI GASKET ⋮ Vector-valued fractal functions: fractal dimension and fractional calculus ⋮ Box dimension and fractional integrals of multivariate \(\alpha\)-fractal functions ⋮ Fractal dimension for a class of complex-valued fractal interpolation functions

Cites Work

• Recurrent iterated function systems
• Hausdorff dimension of quasi-circles
• Two definitions of fractional dimension
• A non-additive thermodynamic formalism and applications to dimension theory of hyperbolic dynamical systems
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