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Measures equivalent to the Haar measure [PDF]
We call two measures equivalent if each is absolutely continuous with respect to the other (cf. [1]). Let G be a locally compact topological group and let μ be a non-negative Baire measure on G (i.e. μ is denned on all Baire sets, finite on compact sets and positive on open sets). We say that μ is stable if μ (E)=0 implies μ(tE)=0 for each t ∈ G. A. M.
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On Equivalence of Probability Measures
Let $H$ be a real and separable Hilbert space, $\Gamma$ the Borel $\sigma$-field of $H$ sets, and $\mu_1$ and $\mu_2$ two probability measures on $(H, \Gamma)$. Several sufficient conditions for equivalence (mutual absolute continuity) of $\mu_1$ and $\mu_2$ are obtained in this paper.
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Equivalence of Certain Representing Measures [PDF]
If an interior component Ω \Omega of a
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A Formula for an Equivalent Invariant Measure [PDF]
Let T T be a nonsingular
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ON DENSITY WITH RESPECT TO EQUIVALENT MEASURES
AbstractIn the paper there is disscussed a notion of a density point of a Borel subset of a metric space with respect to a Borel ...
Artur Bartoszewicz +2 more
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Free products, orbit equivalence and measure equivalence rigidity
We study the analogue, in orbit equivalence, of free product decompositions and free indecomposability for countable groups. We introduce the (orbit equivalence invariant) notion of freely indecomposable ( \mathcal{FI} ) standard probability measure preserving equivalence relations and ...
Alvarez, Aurélien, Gaboriau, Damien
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Equivalence–Singularity Dichotomy in Markov Measures
We establish an equivalence-singularity dichotomy for a large class of one-dimensional Markov measures. Our approach is new in that we deal with one-sided and two-sided chains simultaneously, and in that we do not appeal to any 0-1 law. In fact we deduce a new 0-1 law from the dichotomy.
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Measurement Equivalence Testing 2.0
Probably the most ignored assumption in the social and behavioral sciences is the assumption that measures are observed without error. Ignoring measurement error when it is present will result in conclusions that are biased to some degree. A second commonly ignored assumption is that survey measures can be used to make valid comparisons between (groups
Veld, W.M. van der, Saris, W.E.
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An Equivalent Condition for the Existence of a Measurable Cardinal [PDF]
Introduction. The main purpose of this paper is to prove the equivalence of the existence of a topological space in which there is a nonconvergent open ultrafilter with the countable intersection property and the existence of a measurable cardinal. This paper will answer indirectly the open question in [2 ]. 1.1 DEFINITION.
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On the Equivalence of Two Tree Mapping Measures
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Oliver Eulenstein, Martin Vingron
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