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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...

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Detalles Bibliográficos
Autores principales: Mauldin, R D, Solomyak, B, Urbanski, M
Lenguaje:eng
Publicado: 2000
Materias:
Acceso en línea:http://cds.cern.ch/record/456559
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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
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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