Random selection of Borel sets II | Zendy

Bernd Günther | Zendy

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Random selection of Borel sets II

Author(s) -

Bernd Günther

Publication year - 2013

Publication title -

applied general topology

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.638

H-Index - 13

eISSN - 1989-4147

pISSN - 1576-9402

DOI - 10.4995/agt.2012.1639

Subject(s) - mathematics , borel measure , polish space , borel hierarchy , context (archaeology) , borel set , selection (genetic algorithm) , space (punctuation) , markov chain , borel equivalence relation , random element , measure (data warehouse) , combinatorics , discrete mathematics , random field , probability measure , artificial intelligence , statistics , linguistics , computer science , data mining , geography , mathematical analysis , archaeology , separable space , philosophy

The theory of random Borel sets as presented in part I of this paper is developed further. Special attention is payed to the reconstruction of the topology of the underlying space from our presentation of the measure algebra, to an analysis of capacities in context of random Borel sets, to inspection processes on the unit segment and to the Markov process of random allocation

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