Measure and Hausdorff dimension of randomized Weierstrass-type functions
نویسندگان
چکیده
منابع مشابه
The Hausdorff Dimension of Graphs of Weierstrass Functions
The Weierstrass nowhere differentiable function, and functions constructed from similar infinite series, have been studied often as examples of functions whose graph is a fractal. Though there is a simple formula for the Hausdorff dimension of the graph which is widely accepted, it has not been rigorously proved to hold. We prove that if arbitrary phases are included in each term of the summati...
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 2014
ISSN: 0951-7715,1361-6544
DOI: 10.1088/0951-7715/27/4/787