A family of exceptional parameters for non-uniform self-similar measures

Jörg Neunhäuserer

doi:10.1214/ECP.v16-1618

A family of exceptional parameters for non-uniform self-similar measures

Jörg Neunhäuserer

Research output: Journal contributions › Journal articles › Research › peer-review

2 Citations (Scopus)

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Abstract

We present plane algebraic curves that have segments of points for which non uniform self-similar measures get singular. We calculate appropriate points on the curves using Mathematica. These points are in the parameter domain where we generically have absolute continuity of the measures,

Original language	English
Article number	19
Journal	Electronic Communications in Probability
Volume	16
Pages (from-to)	192-199
Number of pages	8
ISSN	1083-589X
DOIs	https://doi.org/10.1214/ECP.v16-1618
Publication status	Published - 12.04.2011
Externally published	Yes

Research areas and keywords

Mathematics
Algebraic curves
Non-uniform self similar measures
Singularity

ASJC Scopus Subject Areas

Statistics, Probability and Uncertainty
Statistics and Probability

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KW - Mathematics

KW - Algebraic curves

KW - Non-uniform self similar measures

KW - Singularity

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DO - 10.1214/ECP.v16-1618

M3 - Journal articles

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JO - Electronic Communications in Probability

JF - Electronic Communications in Probability

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A family of exceptional parameters for non-uniform self-similar measures

Abstract

Research areas and keywords

ASJC Scopus Subject Areas

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