Large deviations in the geometry of convex lattice polygons

Israel Journal of Mathematics

Volumn 109, Issue , 1999, Pages 13-27

  Vershik, A ^a,b   Zeitouni, O ^c  

^a RUSSIAN ACADEMY OF SCIENCES   (Russian Federation)

^b HEBREW UNIVERSITY OF JERUSALEM   (Israel)

^c TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009424596     PISSN: 00212172     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02775023     Document Type: Article

References (10)

1. I. Bárány, The limit shape of convex lattice polygons, Discrete and Computational Geometry 13 (1995), 279-295.
2. I. Bárány, Affine perimeter and limit shape, Journal für die reine und angewandte Mathematik 484 (1997), 71-84.
3. Su Buchin, Affine Differential Geometry, Gordon and Breach, London, 1983.
4. H. Buseman, Convex Surfaces, Interscience Publ., New York, 1958.
5. A. Dembo and O. Zeitouni, Large deviations techniques and applications, second edition, Springer, New York, 1993.
6. J. D. Deuschel and O. Zeitouni, Limiting curves for i.i.d. records, The Annals of Probability 23 (1995), 852-878.
7. R. Schneider, Convex Bodies: The Brunn-Minkowskii Theory, Cambridge University Press, 1993.
8. Ya. G. Sinai, The probabilistic approach to the analysis of statistics for convex polygonal lines, Functional Analysis and its Applications 28 (1994). 108-113.
9. A. M. Vershik, The limit shape of convex lattice polygons and related topics, Functional Analysis and its Applications 28 (1994), 13-20.
10. A. M. Vershik, Statistical mechanics of combinatorial partitions and their limit shapes, Functional Analysis and its Applications 30 (1996), 19-30.