Central limit theorems for random polygons in an arbitrary convex set
نویسندگان
چکیده
منابع مشابه
Limit Theorems for Random Convex Polygons
Consider the set Ln of convex polygons Γ with vertices on the integer lattice Z, non-negative inclination of the edges and fixed endpoints 0 = (0, 0) and n = (n1, n2). We study the asymptotic properties of the ensemble Ln, as n1, n2 →∞, with respect to a certain parametric class of probability distributions Pn = P (r) n (0 < r <∞) on the space Ln (in particular, including the uniform distributi...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2011
ISSN: 0091-1798
DOI: 10.1214/10-aop568