Expectations on fractal sets

DOI10.1016/j.amc.2013.06.078zbMath1329.28015OpenAlexW2042317009MaRDI QIDQ902564

Jonathan M. Borwein, Richard E. Crandall, Michael G. Rose, David H. Bailey

Publication date: 18 January 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.06.078

zbMATH Keywords

self-similarityMonte Carlo methodsexpectationsnumerical quadraturefractals

Mathematics Subject Classification ID

Self-similar stochastic processes (60G18) Fractals (28A80) Numerical integration (65D30)

Related Items (5)

Polynomial approximation of self-similar measures and the spectrum of the transfer operator ⋮ Extension of van der Corput algorithm to LS-sequences ⋮ Average distances on self-similar sets and higher order average distances of self-similar measures ⋮ Quadrature for self-affine distributions on \(\mathbb R^d\) ⋮ Average distances between points in graph‐directed self‐similar fractals

Cites Work

• Moments of distributions related to digital expansions
• Moment matrix of self-similar measures
• Analytical depoissonization and its applications
• Asymptotics for the moments of singular distributions
• Moments of infinite convolutions of symmetric Bernoulli distributions
• Functional equations and distribution functions
• Asymptotic analysis of the moments of the Cantor distribution
• Box integrals
• Higher-Dimensional Box Integrals
• Advances in the theory of box integrals
• Fractal Geometry, Complex Dimensions and Zeta Functions
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