How large are the level sets of the Takagi function?

Author:

Allaart Pieter C.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference25 articles.

1. Allaart, P.C.: On the distribution of the cardinalities of level sets of the Takagi function. http://arxiv.org/abs/1107.0712v2 (2011, preprint)

2. Allaart P.C., Kawamura K.: The improper infinite derivatives of Takagi’s nowhere-differentiable function. J. Math. Anal. Appl. 372(2), 656–665 (2010)

3. de Amo E., Bhouri I., Díaz Carrillo M., Fernández-Sánchez J.: The Hausdorff dimension of the level sets of Takagi’s function. Nonlinear Anal. 74(15), 5081–5087 (2011)

4. Balasubramanian R., Kanemitsu S., Yoshimoto M.: Euler products, Farey series, and the Riemann hypothesis. II. Publ. Math. Debrecen 69(1–2), 1–16 (2006)

5. Billingsley P.: Van der Waerden’s continuous nowhere differentiable function. Am. Math. Mon. 89(9), 691 (1982)

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1. Slices of the Takagi function;Ergodic Theory and Dynamical Systems;2023-12-20

2. Hausdorff dimension of local level sets of Takagi’s function;Monatshefte für Mathematik;2015-03-03

3. On the level sets of the Takagi–van der Waerden functions;Journal of Mathematical Analysis and Applications;2014-11

4. Hausdorff dimension of level sets of generalized Takagi functions;Mathematical Proceedings of the Cambridge Philosophical Society;2014-06-19

5. Correction and strengthening of “How large are the level sets of the Takagi function?”;Monatshefte für Mathematik;2014-05-25

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