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Teoriya Veroyatnostei i ee Primeneniya, 2017, Volume 62, Issue 2, Pages 292–310
DOI: https://doi.org/10.4213/tvp5109 (Mi tvp5109) 		 
This article is cited in 9 scientific papers (total in 10 papers)

Geometry and probability

V. A. Zorich

Lomonosov Moscow State University
Full-text PDF (410 kB) Citations (10)
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DOI: https://doi.org/10.4213/tvp5109
Abstract: The present paper is chiefly based on the report delivered by the author on March 16, 2016 at the Principle Seminar of the Department of Probability held at the Faculty of Mechanics and Mathematics of Moscow State University. We describe in general terms the relations of the theory of probability with integral geometry and with the phenomenon of measure concentration in multidimensional geometry. In this context, we also discuss one general observation by A. N. Kolmogorov about the Gauss normal distribution, which was brought to the author's attention by A. N. Shiryaev.
Keywords: probability, integral geometry, multidimensional geometry, concentration of the measure, laws of large numbers, normal distribution.
Received: 17.04.2016
Accepted: 20.10.2016
English version:
Theory of Probability and its Applications, 2018, Volume 62, Issue 2, Pages 236–251
DOI: https://doi.org/10.1137/S0040585X97T988587
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. A. Zorich, “Geometry and probability”, Teor. Veroyatnost. i Primenen., 62:2 (2017), 292–310; Theory Probab. Appl., 62:2 (2018), 236–251
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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    References:97
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