Sigma algebras in probabilistic epistemic dynamics

Author(s):  
Luca Aceto ◽  
Wiebe van der Hoek ◽  
Anna Ingolfsdottir ◽  
Joshua Sack
Keyword(s):  
Author(s):  
P.Nirmala Kumari ◽  
◽  
D.V.S.R.Anil Kumar
Keyword(s):  

2014 ◽  
Vol 34 (5) ◽  
pp. 1793-1809 ◽  
Author(s):  
Alexandra Antoniouk ◽  
◽  
Karsten Keller ◽  
Sergiy Maksymenko ◽  
Keyword(s):  

1991 ◽  
Vol 118 (1-2) ◽  
pp. 111-118 ◽  
Author(s):  
Alan Lambert

SynopsisEach sigma-finite subalgebra from the sigma-algebra of a measure space induces a conditional expectation operator which acts on L2 as well as the set of almost everywhere nonnegative measurable functions. The concept of localising set is introduced and shown to be closely related to certain functional equations involving . Localising sets are shown to arise naturally in the study of weighted point transformations f→ϕ. f°T, where ϕ is a measurable function and T is a measurable self-map of the state space. A complete characterisation of localising sets related to such transformations is given when the underlying measure space is completely atomic.


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