Power Domains and Iterated Function Systems Export

@article{citeulike:1086402, abstract = {We introduce the notion of weakly hyperbolic iterated function system (IFS) on a compact metric space, which generalises that of hyperbolic IFS. Based on a domain-theoretic model, which uses the Plotkin power domain and the probabilistic power domain respectively, we prove the existence and uniqueness of the attractor of a weakly hyperbolic IFS and the invariant measure of a weakly hyperbolic IFS with probabilities, extending the classic results of Hutchinson for hyperbolic IFSs in this more...}, author = {Edalat, Abbas}, citeulike-article-id = {1086402}, citeulike-linkout-0 = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.57.2414}, journal = {Information and Computation}, keywords = {domain-theory, ifs, powerdomains}, number = {2}, pages = {182--197}, posted-at = {2007-02-03 22:24:35}, priority = {2}, title = {Power Domains and Iterated Function Systems}, url = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.57.2414}, volume = {124}, year = {1996} }

TY - JOUR ID - citeulike:1086402 L3 - citeulike-article-id:1086402 N2 - We introduce the notion of weakly hyperbolic iterated function system (IFS) on a compact metric space, which generalises that of hyperbolic IFS. Based on a domain-theoretic model, which uses the Plotkin power domain and the probabilistic power domain respectively, we prove the existence and uniqueness of the attractor of a weakly hyperbolic IFS and the invariant measure of a weakly hyperbolic IFS with probabilities, extending the classic results of Hutchinson for hyperbolic IFSs in this more... IS - 2 JF - Information and Computation EP - 197 TI - Power Domains and Iterated Function Systems VL - 124 SP - 182 KW - domain-theory KW - ifs KW - powerdomains AU - Edalat, Abbas PY - 1996/// UR - http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.57.2414 ER -