Hausdorff dimension of limsup sets of random rectangles in products of regular spaces

Ekström, Fredrik; Järvenpää, Esa; Järvenpää, Maarit; Suomala, Ville

doi:10.1090/proc/13920

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.

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