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A probabilistic property of Katsuura's continuous nowhere differentiable function |
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| Authors: | Thomas M. Lewis |
| Affiliation: | Department of Mathematics, Furman University, 3300 Poinsett Highway, Greenville, SC, United States |
| Abstract: | Katsuura's example of a continuous nowhere differentiable function is based on a fixed-point method. In this paper we use probability theory to study the increments of Katsuura's function. |
| Keywords: | Katsuura's function Self-affine functions Continuous nowhere differentiable functions Kiesswetter curves Occupation measure |
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