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Published in Russian in Doklady Akademii Nauk, 2009, Vol. 425, No. 3, pp. 299–304.
The article was translated by the authors.
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Bogachev, L.V., Zarbaliev, S.M. A proof of the Vershik-Prohorov conjecture on the universality of the limit shape for a class of random polygonal lines. Dokl. Math. 79, 197–202 (2009). https://doi.org/10.1134/S1064562409020148
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DOI: https://doi.org/10.1134/S1064562409020148