The box dimension of completely invariant subsets for expanding piecewise monotonic transformations

DOI10.1007/BF01298950zbMath0845.28004MaRDI QIDQ1912215

Franz Hofbauer

Publication date: 11 September 1996

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178721

zbMATH Keywords

entropyHausdorff dimensionbox dimensionpacking dimensionfractal dimensionexpanding piecewise monotonic transformation

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Iteration of real functions in one variable (26A18) Hausdorff and packing measures (28A78)

Related Items (3)

Hausdorff dimension of attractors for two dimensional Lorenz transformations ⋮ Variational principles for the topological pressure of measurable potentials ⋮ Piecewise linear iterated function systems on the line of overlapping construction

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hausdorff dimension for piecewise monotonic maps
• Fractal Properties of Invariant Subsets for Piecewise Monotonic Maps on the Interval
• Hausdorff and conformal measures for expanding piecewise monotonic maps of the interval
• Local dimension for piecewise monotonic maps on the interval

This page was built for publication: The box dimension of completely invariant subsets for expanding piecewise monotonic transformations