A proof of the Vershik-Prohorov conjecture on the universality of the limit shape for a class of random polygonal lines

DOI10.1134/S1064562409020148zbMath1177.82059WikidataQ123365278 ScholiaQ123365278MaRDI QIDQ735829

Leonid V. Bogachev, Sakhavat M. Zarbaliev

Publication date: 26 October 2009

Published in: Doklady Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

Related Items (2)

Limit shape of random convex polygonal lines: even more universality ⋮ Universality of the limit shape of convex lattice polygonal lines

Cites Work

• The limit shape of convex lattice polygons
• Probabilistic approach to the analysis of statistics for convex polygonal lines
• The limit shape of convex lattice polygons and related topics
• Limit theorems for a certain class of random convex polygonal lines
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