1. Ludovic Morin, “Probability that n points are in convex position in a regular κ-gon: Asymptotic results”, Adv. Appl. Probab., 2025, 1  crossref
  2. Ilya Soloveychik, Vahid Tarokh, “Region selection in Markov random fields: Gaussian case”, Journal of Multivariate Analysis, 196 (2023), 105178  crossref
  3. Leonid V. Bogachev, Sakhavet M. Zarbaliev, “Inverse Limit Shape Problem for Multiplicative Ensembles of Convex Lattice Polygonal Lines”, Mathematics, 11:2 (2023), 385  crossref
  4. Ilya Soloveychik, Vahid Tarokh, “Large deviations of convex polyominoes”, Electron. J. Probab., 27:none (2022)  crossref
  5. Imre Bárány, Julien Bureaux, Ben Lund, “Convex cones, integral zonotopes, limit shape”, Advances in Mathematics, 331 (2018), 143  crossref
  6. Julien Bureaux, Nathanaël Enriquez, “Asymptotics of convex lattice polygonal lines with a constrained number of vertices”, Isr. J. Math., 222:2 (2017), 515  crossref
  7. F. L. Chernousko, A. I. Ovseevich, “A problem of random choice and its deterministic structure”, Dokl. Math., 94:2 (2016), 587  crossref
  8. V. M. Buchstaber, M. I. Gordin, I. A. Ibragimov, V. A. Kaimanovich, A. A. Kirillov, A. A. Lodkin, S. P. Novikov, A. Yu. Okounkov, G. I. Olshanski, F. V. Petrov, Ya. G. Sinai, L. D. Faddeev, S. V. Fomin, N. V. Tsilevich, Yu. V. Yakubovich, “Anatolii Moiseevich Vershik (on his 80th birthday)”, Russian Math. Surveys, 69:1 (2014), 165–179  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
  9. Bogachev L.V., “Limit Shape of Random Convex Polygonal Lines: Even More Universality”, J. Comb. Theory Ser. A, 127 (2014), 353–399  crossref  isi
  10. Gravin N. Petrov F. Robins S. Shiryaev D., “Convex Curves and a Poisson Imitation of Lattices”, Mathematika, 60:1 (2014), 139–152  crossref  isi
  11. Bogachev L.V., Zarbaliev S.M., “Universality of the Limit Shape of Convex Lattice Polygonal Lines”, Ann Probab, 39:6 (2011), 2271–2317  crossref  isi
  12. 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  mathnet  crossref  mathscinet  zmath  isi
  13. E. M. Bronshtein, “Approximation of Convex Sets by Polytopes”, Journal of Mathematical Sciences, 153:6 (2008), 727–762  mathnet  crossref  mathscinet  zmath
  14. Krapivsky, PL, “Smoothing a rock by chipping”, Physical Review E, 75:3 (2007), 031119  crossref  adsnasa  isi
  15. F. V. Petrov, “Estimates for the number of rational points on convex curves and surfaces”, J. Math. Sci. (N. Y.), 147:6 (2007), 7218–7226  mathnet  mathnet  crossref  scopus
  16. F. V. Petrov, “On the Number of Rational Points on a Strictly Convex Curve”, Funct. Anal. Appl., 40:1 (2006), 24–33  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
  17. Maria N. Prodromou, “Limit shape of convex lattice polygons with minimal perimeter”, Discrete Mathematics, 300:1-3 (2005), 139  crossref
  18. 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  mathnet  crossref  mathscinet  zmath  elib
  19. 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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
  20. Vershik, A, “Large deviations in the geometry of convex lattice polygons”, Israel Journal of Mathematics, 109 (1999), 13  crossref  mathscinet  zmath  isi
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