Sampling and interpolation of cumulative distribution functions of Cantor sets in [0, 1]

Cantor sets are constructed from iteratively removing sections of intervals. This process yields a cumulative distribution function (CDF), constructed from the invariant Borel probability measure associated with their iterated function systems. Under appropriate assumptions, we identify sampling sch...

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Bibliographic Details
Main Authors: Byars Allison, Camrud Evan, Harding Steven N., McCarty Sarah, Sullivan Keith, Weber Eric S.
Format: Article
Language:English
Published: De Gruyter 2021-05-01
Series:Demonstratio Mathematica
Subjects:
Online Access:https://doi.org/10.1515/dema-2021-0010