A characterization of algebraic measures
Peter Ashley Lawrence (1973)
Rendiconti del Seminario Matematico della Università di Padova
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Peter Ashley Lawrence (1973)
Rendiconti del Seminario Matematico della Università di Padova
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Shmuel Friedland, Benjamin Weiss (2005)
Open Mathematics
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We introduce the notion of a generalized interval exchange induced by a measurable k-partition of [0,1). can be viewed as the corresponding restriction of a nondecreasing function on ℝ with . A is called λ-dense if λ(A i∩(a, b))>0 for each i and any 0≤ a< b≤1. We show that the 2–3 Furstenberg conjecture is invalid if and only if there are 2 and 3 λ-dense partitions A and B of [0,1), such that . We give necessary and sufficient conditions for this equality to hold. We...
Ben Saïd, J.-N. Nicolas (2003)
Acta Arithmetica
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W. Klonecki (1966)
Applicationes Mathematicae
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Robert Karpe (1973)
Archivum Mathematicum
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L. Chawla, Ellen Torrance (1977)
Acta Arithmetica
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Ferenc Oravecz (2000)
Colloquium Mathematicae
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The lattice of partitions and the sublattice of non-crossing partitions of a finite set are important objects in combinatorics. In this paper another sublattice of the partitions is investigated, which is formed by the symmetric partitions. The measure whose nth moment is given by the number of non-crossing symmetric partitions of n elements is determined explicitly to be the "symmetric" analogue of the free Poisson law.
James T. Campbell, Jared T. Collins, Steven Kalikow, Raena King, Randall McCutcheon (2015)
Colloquium Mathematicae
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Given a measure-preserving transformation T of a probability space (X,ℬ,μ) and a finite measurable partition ℙ of X, we show how to construct an Alpern tower of any height whose base is independent of the partition ℙ. That is, given N ∈ ℕ, there exists a Rokhlin tower of height N, with base B and error set E, such that B is independent of ℙ, and TE ⊂ B.
Ji, Kathy Qing (2008)
The Electronic Journal of Combinatorics [electronic only]
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