Author： Fan A.H. Ball K-S.J.A.
Publisher： Academic Press
ISSN： 0022-247X
Source： Journal of Mathematical Analysis and Applications, Vol.231, Iss.2, 1999-03, pp. : 319-344
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
We consider a generalized iterated function system where the weights are variable functions. By using the Ruelle operator and a dynamical system consideration we prove that if the system is contractive and the weights are strictly positive functions and satisfy the Dini condition, then there exists a unique eigenmeasure (corresponding to the Ruelle operator) on the attractor. If in addition the maps are conformal and satisfy the open set condition, then we prove that they satisfy the strong open set condition, and by using this we can give a description of the
Related content
Access to resources
Recommend
THE CONLEY ATTRACTORS OF AN ITERATED FUNCTION SYSTEM
Bulletin of the Australian Mathematical Society, Vol. 88, Iss. 2, 2013-10 ,pp. :