Results 71 to 80 of about 127 (112)

On the Uniqueness of the Density for the Invariant Measure in an Infinite Hyperbolic Iterated Function System

open access: yes, 1998
. We consider a regular infinite hyperbolic iterated function satisfying a property which guarantees that the associated Frobenius-Perron operator L is almost periodic. For such a system there is a unique invariant probablility measure ¯ supported on J ,
Daniel Mauldin
core  

On the Convergence of . . . for Measurable Functions

open access: yes, 1998
. We answer questions of Haight and of Weizsacker by proving the following theorem: Theorem 1. There exists a measurable function f : (0; +1) ! f0; 1g and two nonempty intervals I F ; I 1 ae [ 1 2 ; 1) such that for every x 2 I 1 we have P 1 n=1 f ...
Zoltán Buczolich, R. Daniel Mauldin
core  

Online at stacks.iop.org/Non/17/1455 DOI: 10.1088/0951-7715/17/4/017

open access: yes, 2004
We consider the iterated function systems (IFSs) that consist of three general similitudes in the plane with centres at three non-collinear points, with a common contraction factor λ ∈ (0, 1). As is well known, for λ = 1 2 the attractor, Sλ, is a fractal
Recommended M Field   +3 more
core  

A class of continua that are not attractors of any IFS

open access: yesOpen Mathematics, 2012
Kulczycki Marcin, Nowak Magdalena
doaj   +1 more source

Large dimensional sets not containing a given angle

open access: yesOpen Mathematics, 2011
Harangi Viktor
doaj   +1 more source

Engineering images designed by fractal subdivision scheme. [PDF]

open access: yesSpringerplus, 2016
Mustafa G, Bari M, Jamil S.
europepmc   +1 more source

On Series of Translates of Positive Functions

open access: yes
. For ; a discrete infinite set of nonnegative real numbers, and a nonnegative measurable function f : R ! R + , consider C = C(f; ) = fx : P 2 f(x + ) ! +1g: The sets naturally break into two types. Type 1 consists of such that either C = R almost
Zoltán Buczolich   +2 more
core  

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