The horizon problem for prevalent surfaces
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Publication:3089126
DOI10.1017/S030500411100048XzbMath1235.28005arXiv1102.0222OpenAlexW3101882843MaRDI QIDQ3089126
Jonathan M. Fraser, Kenneth J. Falconer
Publication date: 23 August 2011
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1102.0222
Fractals (28A80) Hausdorff and packing measures (28A78) Dynamical systems and ergodic theory (37-XX)
Related Items (19)
FRACTAL DIMENSION OF MULTIVARIATE α-FRACTAL FUNCTIONS AND APPROXIMATION ASPECTS ⋮ The Hausdorff dimension of graphs of prevalent continuous functions ⋮ Weak tangent and level sets of Takagi functions ⋮ Vector-valued fractal functions: fractal dimension and fractional calculus ⋮ Analytical and dimensional properties of fractal interpolation functions on the Sierpiński gasket ⋮ On the graphs of products of continuous functions and fractal dimensions ⋮ Minkowski dimension of Brownian motion with drift ⋮ On the 1-prevalent continuous functions on compact sets and dimensions ⋮ Fractal dimension for a class of complex-valued fractal interpolation functions ⋮ Graphs of continuous functions and packing dimension ⋮ ON THE DECOMPOSITION OF CONTINUOUS FUNCTIONS AND DIMENSIONS ⋮ Non-stationary \(\alpha \)-fractal functions and their dimensions in various function spaces ⋮ Haar null and Haar meager sets: a survey and new results ⋮ ON A CONJECTURE REGARDING THE UPPER GRAPH BOX DIMENSION OF BOUNDED SUBSETS OF THE REAL LINE ⋮ On the Hausdorff Dimension of Graphs of Prevalent Continuous Functions on Compact Sets ⋮ A note on the 1-prevalence of continuous images with full Hausdorff dimension ⋮ On bivariate fractal approximation ⋮ APPROXIMATION OF THE SAME BOX DIMENSION IN CONTINUOUS FUNCTIONS SPACE ⋮ Hausdorff and packing dimension of fibers and graphs of prevalent continuous maps
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