Results 21 to 30 of about 843 (275)
Smoothness conditions on measures using Wallman spaces
International Journal of Mathematics and Mathematical Sciences, 1999 In this paper, X denotes an arbitrary nonempty set, ℒ a lattice of subsets of X with ∅,X∈ℒ,A(ℒ) is the algebra generated by ℒ and M(ℒ) is the set of nontrivial, finite, and finitely additive measures on A(ℒ), and MR(ℒ) is the set of elements of M(ℒ ...
Charles Traina
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International Journal of Mathematics and Mathematical Sciences, 1993 By an Alexandrov lattice we mean a δ normal lattice of subsets of an abstract set X, such that the set of ℒ-regular countably additive bounded measures is sequentially closed in the set of ℒ-regular finitely additive bounded measures on the algebra ...
Albert Gorelishvili
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A Survey on Valdivia Open Question on Nikodým Sets
Mathematics, 2022 Let A be an algebra of subsets of a set Ω and ba(A) the Banach space of bounded finitely additive scalar-valued measures on A endowed with the variation norm. A subset B of A is a Nikodým set for ba(A) if each countable B-pointwise bounded subset M of ba(
Salvador López-Alfonso +3 more
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The Foundations of Probability with Black Swans
Journal of Probability and Statistics, 2010 We extend the foundation of probability in samples with rare events that are potentially catastrophic, called black swans, such as natural hazards, market crashes, catastrophic climate change, and species extinction. Such events are generally treated as ‘
Graciela Chichilnisky
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On Four Classical Measure Theorems
Mathematics, 2021 A subset B of an algebra A of subsets of a set Ω has property (N) if each B-pointwise bounded sequence of the Banach space ba(A) is bounded in ba(A), where ba(A) is the Banach space of real or complex bounded finitely additive measures defined on A ...
Salvador López-Alfonso +2 more
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The Kullback–Leibler Information Function for Infinite Measures
Entropy, 2016 In this paper, we introduce the Kullback–Leibler information function ρ ( ν , μ ) and prove the local large deviation principle for σ-finite measures μ and finitely additive probability measures ν.
Victor Bakhtin, Edvard Sokal
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On Finitely Additive Measures in Boolean Algebras. [PDF]
crll, 1964 [no abstract] ; © 1964 Walter de Gruyter GmbH. eingagen 20. April 1963. Part of this work was supported by National Science Foundation G-19914.
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The Topological Pressure of Linear Cellular Automata
Entropy, 2009 This elucidation studies ergodicity and equilibrium measures for additive cellular automata with prime states. Additive cellular automata are ergodic with respect to Bernoulli measure unless it is either an identity map or constant.
Chih-Hung Chang, Jung-Chao Ban
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Convergence in measure under finite additivity [PDF]
Sankhya A, 2013 We investigate the possibility of replacing the topology of convergence in probability with convergence in $L^1$. A characterization of continuous linear functionals on the space of measurable functions is also obtained.
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On maximal measures with respect to a lattice
International Journal of Mathematics and Mathematical Sciences, 1991 Outer measures are used to obtain measures that are maximal with respect to a normal lattice. Alternate proofs are then given extending the measure theoretic characterizations of a normal lattice to an arbitrary, non-negative finitely additive measure on
James Camacho
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