Graphs of continuous functions and packing dimension

DOI10.1016/j.jmaa.2015.11.011zbMath1329.28012OpenAlexW1922859007MaRDI QIDQ898833

Jun Wu, Bo Tan, Jia Liu

Publication date: 21 December 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.11.011

zbMATH Keywords

packing dimensiongraph of functionupper-box dimension

Mathematics Subject Classification ID

Hausdorff and packing measures (28A78)

Related Items (6)

Dimensions of fibers of generic continuous maps ⋮ On the graphs of products of continuous functions and fractal dimensions ⋮ On the 1-prevalent continuous functions on compact sets and dimensions ⋮ FRACTAL DIMENSION VARIATION OF CONTINUOUS FUNCTIONS UNDER CERTAIN OPERATIONS ⋮ ON THE DECOMPOSITION OF CONTINUOUS FUNCTIONS AND DIMENSIONS ⋮ LIMIT BEHAVIOR OF THE QUASI-LINEAR DISCRETE FUNCTIONS

Cites Work

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• Dimensions of prevalent continuous functions
• Dimensions of graphs of prevalent continuous maps
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• Topological Hausdorff dimension and level sets of generic continuous functions on fractals
• A remark on decomposition of continuous functions
• The horizon problem for prevalent surfaces
• On the Hausdorff Dimension of Some Graphs
• Projection theorems for box and packing dimensions
• On the Hausdorff Dimension of Graphs of Prevalent Continuous Functions on Compact Sets
• Dimension and measure for generic continuous images

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