A simpler proof for the dimension of the graph of the classical Weierstrass function

DOI10.1214/15-AIHP711zbMath1390.26006MaRDI QIDQ520771

Gerhard Keller

Publication date: 6 April 2017

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.aihp/1486544887

zbMATH Keywords

Weierstrass functionHausdorff dimension

Mathematics Subject Classification ID

Dynamical aspects of attractors and their bifurcations (37G35) Hausdorff and packing measures (28A78) Bifurcation theory for random and stochastic dynamical systems (37H20) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27) Dimension theory of smooth dynamical systems (37C45)

Related Items (4)

Hausdorff dimension of the graphs of the classical Weierstrass functions ⋮ Hyperbolic graphs: Critical regularity and box dimension ⋮ A dichotomy for the Weierstrass-type functions ⋮ Hausdorff and Box dimensions of continuous functions and lineability

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