On some random convex sets
R. Jajte (1971)
Colloquium Mathematicae
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Displaying similar documents to “On random convex hulls”
On some random convex sets
Legendre functions and the method of random Bregman projections.
Bauschke, Heinz G., Borwein, Jonathan M. (1997)
Journal of Convex Analysis
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Characterizations of random approximations
Abdul Rahim Khan, Nawab Hussain (2003)
Archivum Mathematicum
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Some characterizations of random approximations are obtained in a locally convex space through duality theory.
Probability that n Random Points Are in Convex Position.
P. Valtr (1995)
Discrete & computational geometry
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Inequalities on the variances of convex functions of random variables.
See, Chuen-Teck, Chen, Jeremy (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Generalization of a formula of C. Buchta about the convex hull of random points.
Fernando Affentranger (1988)
Elemente der Mathematik
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Invariant measures for position dependent random maps with continuous random parameters
Tomoki Inoue (2012)
Studia Mathematica
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We consider a family of transformations with a random parameter and study a random dynamical system in which one transformation is randomly selected from the family and applied on each iteration. The parameter space may be of cardinality continuum. Further, the selection of the transformation need not be independent of the position in the state space. We show the existence of absolutely continuous invariant measures for random maps on an interval under some conditions.
An explicit formula about the convex hull of random points.
E. Badertscher (1989)
Elemente der Mathematik
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Remarks on the note "Generalization of a formula of C. Buchta about the convex hull of random points".
Fernando Affentranger (1988)
Elemente der Mathematik
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Random fixed points and approximations in random convex metric spaces.
Beg, Ismat, Shahzad, Naseer (1993)
Journal of Applied Mathematics and Stochastic Analysis
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Position dependent random maps in one and higher dimensions
Wael Bahsoun, Paweł Góra (2005)
Studia Mathematica
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A random map is a discrete-time dynamical system in which one of a number of transformations is randomly selected and applied on each iteration of the process. We study random maps with position dependent probabilities on the interval and on a bounded domain of ℝⁿ. Sufficient conditions for the existence of an absolutely continuous invariant measure for a random map with position dependent probabilities on the interval and on a bounded domain of ℝⁿ are the main results.