Invariant measures for a diffeomorphism which expands the leaves of a foliation
David Ruelle (1978)
Publications Mathématiques de l'IHÉS
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David Ruelle (1978)
Publications Mathématiques de l'IHÉS
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Ursula Hamenstädt (1994-1995)
Séminaire de théorie spectrale et géométrie
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Ai Fan (1996)
Studia Mathematica
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We give a simple proof of the sufficiency of a log-lipschitzian condition for the uniqueness of G-measures and g-measures which were studied by G. Brown, A. H. Dooley and M. Keane. In the opposite direction, we show that the lipschitzian condition together with positivity is not sufficient. In the special case where the defining function depends only upon two coordinates, we find a necessary and sufficient condition. The special case of Riesz products is discussed and the Hausdorff dimension...
B. Jessen (1948)
Colloquium Mathematicae
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K. P. S. Bhaskara Rao, B. V. Rao (1979)
Colloquium Mathematicae
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Robert Susmaga, Izabela Szczech (2015)
International Journal of Applied Mathematics and Computer Science
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The paper presents visualization techniques for interestingness measures. The process of measure visualization provides useful insights into different domain areas of the visualized measures and thus effectively assists their comprehension and selection for different knowledge discovery tasks. Assuming a common domain form of the visualized measures, a set of contingency tables, which consists of all possible tables having the same total number of observations, is constructed. These...
Ursula Hamenstädt (1991)
Séminaire de théorie spectrale et géométrie
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Matthew Badger, Raanan Schul (2017)
Analysis and Geometry in Metric Spaces
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A measure is 1-rectifiable if there is a countable union of finite length curves whose complement has zero measure. We characterize 1-rectifiable Radon measures μ in n-dimensional Euclidean space for all n ≥ 2 in terms of positivity of the lower density and finiteness of a geometric square function, which loosely speaking, records in an L2 gauge the extent to which μ admits approximate tangent lines, or has rapidly growing density ratios, along its support. In contrast with the classical...
Ethan Akin, Randall Dougherty, R. Daniel Mauldin, Andrew Yingst (2008)
Colloquium Mathematicae
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For measures on a Cantor space, the demand that the measure be "good" is a useful homogeneity condition. We examine the question of when a Bernoulli measure on the sequence space for an alphabet of size n is good. Complete answers are given for the n = 2 cases and the rational cases. Partial results are obtained for the general cases.
François Ledrappier (2008)
Annales de l’institut Fourier
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We classify reversible measures for the stable foliation on manifolds which are infinite covers of compact negatively curved manifolds. We extend the known results from hyperbolic surfaces to varying curvature and to all dimensions.
Beloslav Riečan (1974)
Časopis pro pěstování matematiky
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