Sur la mesure d’Occupation d’une classe de fonctions self-affines

DOI10.1007/BF03167910zbMath0685.26007OpenAlexW2048567997MaRDI QIDQ4735358

Jean Bertoin

Publication date: 1988

Published in: Japan Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03167910

zbMATH Keywords

Jarnik functionsself-affine functionscontinuous \(\beta\)-Jarnik functionsmeasure absolutely continuous with respect to Lebesgue measure

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Length, area, volume, other geometric measure theory (28A75) Iteration of real functions in one variable (26A18) Continuity and singularity of induced measures (60G30) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (7)

Sobolev regularity of occupation measures and paths, variability and compositions ⋮ Variability of paths and differential equations with \(\mathrm{BV}\)-coefficients ⋮ Level sets of the Takagi function: local level sets ⋮ Hausdorff dimension of the level sets for self-affine functions ⋮ On self-affine functions II ⋮ Irregular \(1\)-sets on the graphs of continuous functions ⋮ On the existence of local times: A geometric study

Cites Work

• Occupation densities
• On self-affine functions
• A characterization of self-affine functions
• On the approximate local growth of multidimensional random fields
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