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Random Covering Sets, Hitting Probabilities and Variants of the Covering Problem

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Recent Developments in Fractals and Related Fields (FARF3 2015)

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Abstract

We discuss various types of problems related to random covering sets. These include dimensional properties of random covering sets in Riemann manifolds as well as hitting probabilities of typical random covering sets in Ahlfors regular metric spaces.

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Acknowledgements

We acknowledge the support of ICERM and the Centre of Excellence in Analysis and Dynamics Research funded by the Academy of Finland.

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Authors and Affiliations

  1. Mathematical Sciences, University of Oulu, P.O. Box 3000, 90014, Oulu, Finland

    Maarit Järvenpää

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  1. Maarit Järvenpää
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Correspondence to Maarit Järvenpää .

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Editors and Affiliations

  1. Laboratoire Analyse, Géométrie et Applications, Université Paris 13, Villetaneuse, France

    Julien Barral

  2. Laboratoire d’Analyse et de Mathématiques Appliquées (UMR 8050), Université Paris-Est, UPEMLV, UPEC, CNRS, Créteil, France

    Stéphane Seuret

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Järvenpää, M. (2017). Random Covering Sets, Hitting Probabilities and Variants of the Covering Problem. In: Barral, J., Seuret, S. (eds) Recent Developments in Fractals and Related Fields. FARF3 2015. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-57805-7_8

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