Conformal Iterated Function Systems with Overlaps

Sze-Man Ngai

Conformal Iterated Function Systems with Overlaps

Mathematical Sciences

Research output: Contribution to conference › Presentation

Abstract

We study the invariant set and invariant measures defined by a finite iterated function systems of conformal contractions that satisfy the bounded distortion property and the weak separation condition. Results concerning the dimensions of the attractor and singularity of the associated self conformal measures and will be discussed.

Original language	American English
State	Published - Jul 6 2009
Event	Workshop on Fractals and Tilings - Strobl, Austria Duration: Jul 6 2009 → …

Conference

Conference	Workshop on Fractals and Tilings
Period	07/6/09 → …

Disciplines

Mathematics

Keywords

Iterated function systems

Cite this

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title = "Conformal Iterated Function Systems with Overlaps",

abstract = " We study the invariant set and invariant measures defined by a finite iterated function systems of conformal contractions that satisfy the bounded distortion property and the weak separation condition. Results concerning the dimensions of the attractor and singularity of the associated self conformal measures and will be discussed.",

keywords = "Iterated function systems",

author = "Sze-Man Ngai",

year = "2009",

month = jul,

day = "6",

language = "American English",

note = "Workshop on Fractals and Tilings ; Conference date: 06-07-2009",

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TY - CONF

T1 - Conformal Iterated Function Systems with Overlaps

AU - Ngai, Sze-Man

PY - 2009/7/6

Y1 - 2009/7/6

N2 - We study the invariant set and invariant measures defined by a finite iterated function systems of conformal contractions that satisfy the bounded distortion property and the weak separation condition. Results concerning the dimensions of the attractor and singularity of the associated self conformal measures and will be discussed.

AB - We study the invariant set and invariant measures defined by a finite iterated function systems of conformal contractions that satisfy the bounded distortion property and the weak separation condition. Results concerning the dimensions of the attractor and singularity of the associated self conformal measures and will be discussed.

KW - Iterated function systems

UR - https://www.math.tugraz.at/Fractals09/programme/abstr.pdf

M3 - Presentation

T2 - Workshop on Fractals and Tilings

Y2 - 6 July 2009

ER -

Conformal Iterated Function Systems with Overlaps

Abstract

Conference

Disciplines

Keywords

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