Hausdorff dimension of limsup sets of random rectangles in products of regular spaces
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- by Fredrik Ekström, Esa Järvenpää, Maarit Järvenpää and Ville Suomala PDF
- Proc. Amer. Math. Soc. 146 (2018), 2509-2521 Request permission
Abstract:
The almost sure Hausdorff dimension of the limsup set of randomly distributed rectangles in a product of Ahlfors regular metric spaces is computed in terms of the singular value function of the rectangles.References
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Additional Information
- Fredrik Ekström
- Affiliation: Department of Mathematical Sciences, P.O. Box 3000, 90014 University of Oulu, Finland
- Email: fredrik.ekstrom@oulu.fi
- Esa Järvenpää
- Affiliation: Department of Mathematical Sciences, P.O. Box 3000, 90014 University of Oulu, Finland
- Email: esa.jarvenpaa@oulu.fi
- Maarit Järvenpää
- Affiliation: Department of Mathematical Sciences, P.O. Box 3000, 90014 University of Oulu, Finland
- Email: maarit.jarvenpaa@oulu.fi
- Ville Suomala
- Affiliation: Department of Mathematical Sciences, P.O. Box 3000, 90014 University of Oulu, Finland
- MR Author ID: 759786
- Email: ville.suomala@oulu.fi
- Received by editor(s): May 15, 2017
- Received by editor(s) in revised form: July 24, 2017, and August 3, 2017
- Published electronically: February 16, 2018
- Additional Notes: We acknowledge the support of the Centre of Excellence in Analysis and Dynamics, funded by the Academy of Finland. We thank P. Mattila, S. Seuret, P. Shmerkin and J. Tyson for useful discussions, and the program Fractal Geometry and Dynamics, held at Institut Mittag–Leffler.
- Communicated by: Jeremy Tyson
- © Copyright 2018 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 2509-2521
- MSC (2010): Primary 28A80, 60D05
- DOI: https://doi.org/10.1090/proc/13920
- MathSciNet review: 3778153