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2012/2013 The Hausdorff Dimension of the Generalized Level Sets of Takagi's Function
Manuel Díaz Carrillo, Juan Fernández Sánchez, Enrique de Amo
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Real Anal. Exchange 38(2): 421-424 (2012/2013).

Abstract

In this note we prove that 1/2 is an upper bound for the Hausdorff dimension of the intersection of the graph of Takagi's function with any line of integer slope.

Citation

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Manuel Díaz Carrillo. Juan Fernández Sánchez. Enrique de Amo. "The Hausdorff Dimension of the Generalized Level Sets of Takagi's Function." Real Anal. Exchange 38 (2) 421 - 424, 2012/2013.

Information

Published: 2012/2013
First available in Project Euclid: 27 June 2014

zbMATH: 1298.28014
MathSciNet: MR3261886

Subjects:
Primary: 26A06 , 26A27
Secondary: 26A30

Keywords: box-counting dimension , generalized level set , Hausdorff dimension , Takagi's function

Rights: Copyright © 2012 Michigan State University Press

Vol.38 • No. 2 • 2012/2013
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