Subadditive measures and small systems
Beloslav Riečan (1974)
Časopis pro pěstování matematiky
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Beloslav Riečan (1974)
Časopis pro pěstování matematiky
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Artur Bartoszewicz (1978)
Colloquium Mathematicae
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Nikolay Tzvetkov, Nicola Visciglia (2013)
Annales scientifiques de l'École Normale Supérieure
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Inspired by the work of Zhidkov on the KdV equation, we perform a construction of weighted Gaussian measures associated to the higher order conservation laws of the Benjamin-Ono equation. The resulting measures are supported by Sobolev spaces of increasing regularity. We also prove a property on the support of these measures leading to the conjecture that they are indeed invariant by the flow of the Benjamin-Ono equation.
Jan K. Pachl (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...
Stanisław Szufla (2001)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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K. Musiał (1973)
Colloquium Mathematicae
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K. P. S. Bhaskara Rao, B. V. Rao (1975)
Colloquium Mathematicae
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Jantas, Alicja (2015-11-10T12:04:38Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Mariusz Paradowski (2015)
International Journal of Applied Mathematics and Computer Science
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Over a century of research has resulted in a set of more than a hundred binary association measures. Many of them share similar properties. An overview of binary association measures is presented, focused on their order equivalences. Association measures are grouped according to their relations. Transformations between these measures are shown, both formally and visually. A generalization coefficient is proposed, based on joint probability and marginal probabilities. Combining association...
K. P. S. Bhaskara Rao, B. V. Rao (1979)
Colloquium Mathematicae
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Luigi Ambrosio (2008)
Bollettino dell'Unione Matematica Italiana
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A survey on the main results of the theory of gradient flows in metric spaces and in the Wasserstein space of probability measures obtained in [3] and [4], is presented.
Bilel Selmi (2021)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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In this paper, we use a characterization of the mutual multifractal Hausdorff dimension in terms of auxiliary measures to investigate the projections of measures with small supports.
Flemming Topsøe (1979)
Colloquium Mathematicae
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Monika Dekiert (1993)
Manuscripta mathematica
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Wu, Jang-Mei (1993)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Dorothy Maharam (1977)
Publications mathématiques et informatique de Rennes
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Strichartz, Robert S., Taylor, Arthur, Zhang, Tong (1995)
Experimental Mathematics
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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...