| Abstract: |
| I will discuss analogues of Minkowski`s question mark function $?(x)$ related to continued fractions with even or odd partial quotients. By studying the appropriate fractal structures, we obtain Denjoy-type formulas for these function. We prove that these functions are singular, but H\{o}lder continuous with precise exponents, and that the linearize the appropriate versions of the Gauss and Farey maps. Based on joint work with F. P. Boca. |
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