On typical Markov operators acting on Borel measures | Zendy

Tomasz Szarek | Zendy

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On typical Markov operators acting on Borel measures

Author(s) -

Tomasz Szarek

Publication year - 2005

Publication title -

abstract and applied analysis

Language(s) - Estonian

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/aaa.2005.489

Subject(s) - mathematics , markov chain , borel measure , borel set , hausdorff dimension , countable set , baire measure , pure mathematics , invariant measure , invariant (physics) , measure (data warehouse) , operator (biology) , dimension (graph theory) , zero (linguistics) , discrete mathematics , probability measure , statistics , ergodic theory , linguistics , philosophy , biochemistry , chemistry , repressor , database , computer science , transcription factor , mathematical physics , gene

It is proved that, in the sense of Baire category, almost every Markov operator acting on Borel measures is asymptotically stable and the Hausdorff dimension of its invariant measure is equal to zero

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