Ya. G. Sinai, “Probabilistic Approach to the Analysis of Statistics for Convex Polygonal Lines”, Funktsional. Anal. i Prilozhen., 28:2 (1994), 41–48; Funct. Anal. Appl., 28:2 (1994), 108

Loading [MathJax]/jax/output/SVG/config.js

Funktsional'nyi Analiz i ego Prilozheniya

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Forthcoming papers
	Archive
	Impact factor
	Submit a manuscript

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Funktsional. Anal. i Prilozhen.:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Funktsional'nyi Analiz i ego Prilozheniya, 1994, Volume 28, Issue 2, Pages 41–48 (Mi faa632)

This article is cited in 25 scientific papers (total in 26 papers)

Probabilistic Approach to the Analysis of Statistics for Convex Polygonal Lines

Ya. G. Sinai^ab

^a Princeton University, Department of Mathematics
^b L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences

Full-text PDF (676 kB) Citations (26)

References:

PDF

HTML

Received: 06.01.1994

English version:
Functional Analysis and Its Applications, 1994, Volume 28, Issue 2, Pages 108–113
DOI: https://doi.org/10.1007/BF01076497

Bibliographic databases:

Document Type: Article

UDC: 514.172.45+519.2

Language: Russian

Citation: Ya. G. Sinai, “Probabilistic Approach to the Analysis of Statistics for Convex Polygonal Lines”, Funktsional. Anal. i Prilozhen., 28:2 (1994), 41–48; Funct. Anal. Appl., 28:2 (1994), 108–113

Citation in format AMSBIB

\Bibitem{Sin94}

\by Ya.~G.~Sinai

\paper Probabilistic Approach to the Analysis of Statistics for Convex Polygonal Lines

\jour Funktsional. Anal. i Prilozhen.

\yr 1994

\vol 28

\issue 2

\pages 41--48

\mathnet{http://mi.mathnet.ru/faa632}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1283251}

\zmath{https://zbmath.org/?q=an:0832.60099}

\transl

\jour Funct. Anal. Appl.

\yr 1994

\vol 28

\issue 2

\pages 108--113

\crossref{https://doi.org/10.1007/BF01076497}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994PM65100005}

Linking options:

https://www.mathnet.ru/eng/faa632

https://www.mathnet.ru/eng/faa/v28/i2/p41

This publication is cited in the following 26 articles:

Ludovic Morin, “Probability that n points are in convex position in a regular κ-gon: Asymptotic results”, Adv. Appl. Probab., 2025, 1
Leonid V. Bogachev, Sakhavet M. Zarbaliev, “Inverse Limit Shape Problem for Multiplicative Ensembles of Convex Lattice Polygonal Lines”, Mathematics, 11:2 (2023), 385
Melczer S., Panova G., Pemantle R., “Counting Partitions Inside a Rectangle”, SIAM Discret. Math., 34:4 (2020), 2388–2410
Imre Bárány, Julien Bureaux, Ben Lund, “Convex cones, integral zonotopes, limit shape”, Advances in Mathematics, 331 (2018), 143
Julien Bureaux, Nathanaël Enriquez, “Asymptotics of convex lattice polygonal lines with a constrained number of vertices”, Isr. J. Math., 222:2 (2017), 515
F. L. Chernousko, A. I. Ovseevich, “A problem of random choice and its deterministic structure”, Dokl. Math., 94:2 (2016), 587
Bureaux J., “Partitions of Large Unbalanced Bipartites”, Math. Proc. Camb. Philos. Soc., 157:3 (2014), 469–487
Bogachev L.V., “Limit Shape of Random Convex Polygonal Lines: Even More Universality”, J. Comb. Theory Ser. A, 127 (2014), 353–399
Jean-François Marckert, David Renault, “Compact convex sets of the plane and probability theory”, ESAIM: PS, 18 (2014), 854
Yakubovich Yu., “Ergodicity of Multiplicative Statistics”, J. Comb. Theory Ser. A, 119:6 (2012), 1250–1279
Bogachev L.V., Zarbaliev S.M., “Universality of the Limit Shape of Convex Lattice Polygonal Lines”, Ann Probab, 39:6 (2011), 2271–2317
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., 79:2 (2009), 197–202
Krapivsky, PL, “Smoothing a rock by chipping”, Physical Review E, 75:3 (2007), 031119
Maria N. Prodromou, “Limit shape of convex lattice polygons with minimal perimeter”, Discrete Mathematics, 300:1-3 (2005), 139
A. M. Vershik, Yu. V. Yakubovich, “The limit shape and fluctuations of random partitions of naturals with fixed number of summands”, Mosc. Math. J., 1:3 (2001), 457–468
A. V. Gladkov, V. V. Dmitrieva, R. A. Sharipov, “Some nonlinear equations reducible to diffusion-type equations”, Theoret. and Math. Phys., 123:1 (2000), 436–445
L. V. Bogachev, S. M. Zarbaliev, “Limit theorems for a certain class of random convex polygonal lines”, Russian Math. Surveys, 54:4 (1999), 830–832
Vershik, A, “Large deviations in the geometry of convex lattice polygons”, Israel Journal of Mathematics, 109 (1999), 13
Bogachev L.V., Zarbaliev S.M., “Approximation of convex functions by random polygonal lines”, Dokl. Math., 59:1 (1999), 46–49
Imre Bárány, “Sylvester's Question: The Probability That $n$ Points are in Convex Position”, Ann. Probab., 27:4 (1999)

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Functional Analysis and Its Applications

Statistics & downloads:
Abstract page:	858
Full-text PDF :	272
References:	108
First page:	4

Что такое QR-код?

Registration to the website

Logotypes