Abstract
We study the occupation measure of a class of self-affine functions in Kamae’s sense. As these functions are Jarnik functions, we give examples of Jarnik functions which are not (LT), answering negatively to a problem of Geman and Horowitz.
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Références
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Editor’s Note Two articles in this issue, “Sur la Mesure d’Occupation d’une Classe de Fonctions Self-Affines” by Jean Bertoin, and “On Self-Affine Functions” by Norio Kôno, containing essentially the same results, were submitted to our editorial office almost at the same time. We believe that these works were achieved independently.
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Bertoin, J. Sur la mesure d’Occupation d’une classe de fonctions self-affines. Japan J. Appl. Math. 5, 431–439 (1988). https://doi.org/10.1007/BF03167910
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DOI: https://doi.org/10.1007/BF03167910