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On open set conditions for infinite conformal ifs
We consider infinite conformal iterated function systems. Extending the results from [Sc] and [PRSS] we demonstrate that in this case the open set condition with the cone property implies the strong open set condition. Completing a theorem from [MU], we then apply this result to show positivity of a...
Autores principales: | , , |
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Lenguaje: | eng |
Publicado: |
2000
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Materias: | |
Acceso en línea: | http://cds.cern.ch/record/456559 |
_version_ | 1780896272524247040 |
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author | Mauldin, R D Solomyak, B Urbanski, M |
author_facet | Mauldin, R D Solomyak, B Urbanski, M |
author_sort | Mauldin, R D |
collection | CERN |
description | We consider infinite conformal iterated function systems. Extending the results from [Sc] and [PRSS] we demonstrate that in this case the open set condition with the cone property implies the strong open set condition. Completing a theorem from [MU], we then apply this result to show positivity of an appropriate packing measure. |
id | cern-456559 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2000 |
record_format | invenio |
spelling | cern-4565592019-09-30T06:29:59Zhttp://cds.cern.ch/record/456559engMauldin, R DSolomyak, BUrbanski, MOn open set conditions for infinite conformal ifsMathematical Physics and MathematicsWe consider infinite conformal iterated function systems. Extending the results from [Sc] and [PRSS] we demonstrate that in this case the open set condition with the cone property implies the strong open set condition. Completing a theorem from [MU], we then apply this result to show positivity of an appropriate packing measure.IHES-M-2000-10oai:cds.cern.ch:4565592000 |
spellingShingle | Mathematical Physics and Mathematics Mauldin, R D Solomyak, B Urbanski, M On open set conditions for infinite conformal ifs |
title | On open set conditions for infinite conformal ifs |
title_full | On open set conditions for infinite conformal ifs |
title_fullStr | On open set conditions for infinite conformal ifs |
title_full_unstemmed | On open set conditions for infinite conformal ifs |
title_short | On open set conditions for infinite conformal ifs |
title_sort | on open set conditions for infinite conformal ifs |
topic | Mathematical Physics and Mathematics |
url | http://cds.cern.ch/record/456559 |
work_keys_str_mv | AT mauldinrd onopensetconditionsforinfiniteconformalifs AT solomyakb onopensetconditionsforinfiniteconformalifs AT urbanskim onopensetconditionsforinfiniteconformalifs |