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Article Dans Une Revue Annales Academiae Scientiarum Fennicae Series A 1, Mathematica Dissertationes Année : 2000

Caloric measure on domains bounded by Weierstrass-type graphs

Thierry Bousch
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Résumé

Let $\omega$ be the caloric measure on a domain bounded by a Weierstrass-type graph. We prove that $\omega$ is a quasi-Bernoulli measure. Therefore, the multifractal formalism isavailable for such a measure. We can then give necessary and sufficient conditions which ensure that $\omega$ is supported by a set of small dimension and prove that this is the generic case. These results improve and generalize a earlier work due to R. Kaufman and J.M. Wu.
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Dates et versions

hal-00475617 , version 1 (22-04-2010)

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  • HAL Id : hal-00475617 , version 1

Citer

Thierry Bousch, Yanick Heurteaux. Caloric measure on domains bounded by Weierstrass-type graphs. Annales Academiae Scientiarum Fennicae Series A 1, Mathematica Dissertationes, 2000, 25, pp.501-522. ⟨hal-00475617⟩
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