Hitting probabilities of random covering sets in tori and metric spaces | Zendy

Esa Järvenpää | Zendy; Maarit Järvenpää | Zendy; Henna Koivusalo | Zendy; Bing Li | Zendy; Ville Suomala | Zendy; Yimin Xiao | Zendy

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Hitting probabilities of random covering sets in tori and metric spaces

Author(s) -

Esa Järvenpää,

Maarit Järvenpää,

Henna Koivusalo,

Bing Li,

Ville Suomala,

Yimin Xiao

Publication year - 2017

Publication title -

electronic journal of probability

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.666

H-Index - 53

ISSN - 1083-6489

DOI - 10.1214/16-ejp4658

Subject(s) - mathematics , torus , hausdorff dimension , metric space , intersection (aeronautics) , metric (unit) , set (abstract data type) , combinatorics , hausdorff distance , discrete mathematics , pure mathematics , mathematical analysis , geometry , operations management , economics , computer science , engineering , programming language , aerospace engineering

We provide sharp lower and upper bounds for the Hausdorff dimension of the intersectionof a typical random covering set with a fixed analytic set both in Ahlfors regularmetric spaces and in the d-dimensional torus. In metric spaces, we consider coveringsets generated by balls and, in tori, we deal with general analytic generating sets

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