Infinite iterated function systems Export

@article{citeulike:848158, abstract = {: We examine iterated function systems consisting of a countably infinite number of contracting mappings (IIFS). We state results analogous to the well-known case of finitely many mappings (IFS). Moreover, we show that IIFS can be approximated by appropriately chosen IFS both in terms of Hausdorff distance and of Hausdorff dimension. Comparing the descriptive power of IFS and IIFS as mechanisms defining closed and bounded sets, we show that IIFS are strictly more powerful than IFS. On the...}, author = {Fernau, H.}, citeulike-article-id = {848158}, citeulike-linkout-0 = {http://citeseer.ist.psu.edu/fernau94infinite.html}, citeulike-linkout-1 = {http://citeseer.lcs.mit.edu/fernau94infinite.html}, citeulike-linkout-2 = {http://citeseer.ifi.unizh.ch/fernau94infinite.html}, citeulike-linkout-3 = {http://citeseer.comp.nus.edu.sg/fernau94infinite.html}, journal = {Mathematische Nachrichten}, keywords = {cantor-space, ifs, iifs, infinite, qifs}, pages = {79--91}, posted-at = {2006-09-17 17:41:03}, priority = {2}, title = {Infinite iterated function systems}, url = {http://citeseer.ist.psu.edu/fernau94infinite.html}, volume = {169}, year = {1994} }

TY - JOUR ID - citeulike:848158 L3 - citeulike-article-id:848158 N2 - : We examine iterated function systems consisting of a countably infinite number of contracting mappings (IIFS). We state results analogous to the well-known case of finitely many mappings (IFS). Moreover, we show that IIFS can be approximated by appropriately chosen IFS both in terms of Hausdorff distance and of Hausdorff dimension. Comparing the descriptive power of IFS and IIFS as mechanisms defining closed and bounded sets, we show that IIFS are strictly more powerful than IFS. On the... JF - Mathematische Nachrichten EP - 91 TI - Infinite iterated function systems VL - 169 SP - 79 KW - cantor-space KW - ifs KW - iifs KW - infinite KW - qifs AU - Fernau, H PY - 1994/// UR - http://citeseer.ist.psu.edu/fernau94infinite.html ER -