Estimates of capacity of self-similar measures

Jozef Myjak; Tomasz Szarek

Annales Polonici Mathematici (2002)

  • Volume: 78, Issue: 2, page 141-157
  • ISSN: 0066-2216

Abstract

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We give lower and upper estimates of the capacity of self-similar measures generated by iterated function systems ( S i , p i ) : i = 1 , . . . , N where S i are bi-lipschitzean transformations.

How to cite

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Jozef Myjak, and Tomasz Szarek. "Estimates of capacity of self-similar measures." Annales Polonici Mathematici 78.2 (2002): 141-157. <http://eudml.org/doc/280979>.

@article{JozefMyjak2002,
abstract = {We give lower and upper estimates of the capacity of self-similar measures generated by iterated function systems $\{(S_i,p_i): i=1,...,N\}$ where $S_i$ are bi-lipschitzean transformations.},
author = {Jozef Myjak, Tomasz Szarek},
journal = {Annales Polonici Mathematici},
keywords = {Markov operator; iterated function system; invariant measure; capacity of measure},
language = {eng},
number = {2},
pages = {141-157},
title = {Estimates of capacity of self-similar measures},
url = {http://eudml.org/doc/280979},
volume = {78},
year = {2002},
}

TY - JOUR
AU - Jozef Myjak
AU - Tomasz Szarek
TI - Estimates of capacity of self-similar measures
JO - Annales Polonici Mathematici
PY - 2002
VL - 78
IS - 2
SP - 141
EP - 157
AB - We give lower and upper estimates of the capacity of self-similar measures generated by iterated function systems ${(S_i,p_i): i=1,...,N}$ where $S_i$ are bi-lipschitzean transformations.
LA - eng
KW - Markov operator; iterated function system; invariant measure; capacity of measure
UR - http://eudml.org/doc/280979
ER -

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