On the lifting of invariant measures
Antoni Leon Dawidowicz (1990)
Annales Polonici Mathematici
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Displaying similar documents to “Remarks on invariant measures in metric spaces”
On the lifting of invariant measures
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Stefan Bergman (1967)
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Effect of choice of dissimilarity measure on classification efficiency with nearest neighbor method
Tomasz Górecki (2005)
Discussiones Mathematicae Probability and Statistics
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In this paper we will precisely analyze the nearest neighbor method for different dissimilarity measures, classical and weighed, for which methods of distinguishing were worked out. We will propose looking for weights in the space of discriminant coordinates. Experimental results based on a number of real data sets are presented and analyzed to illustrate the benefits of the proposed methods. As classical dissimilarity measures we will use the Euclidean metric, Manhattan and post office...
Gradient Flows in Metric Spaces and in the Spaces of Probability Measures, and Applications to Fokker-Planck Equations with Respect to Log-Concave Measures
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.
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Vershik, A.M. (2004)
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Invariant measures and ideals on discrete groups
Andrzej Pelc
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CONTENTS0. Introduction...........................................51. Preliminaries.........................................72. Universal invariant measures..............133. Extensions of invariant measures........214. Saturation of ideals on groups............34References.............................................46
Invariant measures on abelian metric groups
Andrzej Pelc (1987)
Colloquium Mathematicae
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A remark on expanding mappings
K. Krzyżewski (1979)
Colloquium Mathematicae
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Annales Polonici Mathematici
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Gaussian measures associated to the higher order conservation laws of the Benjamin-Ono equation
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.
Kolmogoroff consistency theorem for Gleason measures
Artur Bartoszewicz (1978)
Colloquium Mathematicae
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Subadditive measures and small systems
Beloslav Riečan (1974)
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Generic Properties of Invariant Measures for Continous Piecewise Monotonic Transformations.
Franz Hofbauer (1988)
Monatshefte für Mathematik
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On existence of finite invariant measures.
Louis Sucheston (1964/65)
Mathematische Zeitschrift
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Some properties of the Hausdorff distance in metric spaces.
Jozef Banas, Antonio Martinón (1990)
Extracta Mathematicae
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Some properties of the Hausdorff distance in complete metric spaces are discussed. Results obtained in this paper explain ideas used in the theory of measures of noncompactness.