Sigma algebras in probabilistic epistemic dynamics

2011 ◽  
Author(s):  
Luca Aceto ◽  
Wiebe van der Hoek ◽  
Anna Ingolfsdottir ◽  
Joshua Sack
Keyword(s):  
Sigma Algebras

Soft Sets and Sigma Algebras

2018 ◽  
Vol 55 (1) ◽  
pp. 10-13
Author(s):  
P.Nirmala Kumari ◽  
◽  
D.V.S.R.Anil Kumar
Keyword(s):  
Soft Sets ◽  
Sigma Algebras

scholarly journals Kolmogorov-Sinai entropy via separation properties of order-generated $\sigma$-algebras

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

Localising sets for sigma-algebras and related point transformations

1991 ◽  
Vol 118 (1-2) ◽  
pp. 111-118 ◽  
Author(s):  
Alan Lambert
Keyword(s):  
Measurable Function ◽  
Conditional Expectation ◽  
Measure Space ◽  
Functional Equations ◽  
Almost Everywhere ◽  
Weighted Point ◽  
Point Transformations ◽  
Sigma Algebras ◽  
Related Point ◽  
Complete Characterisation

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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