On certain random polygons of large areas

[摘要] Consider the tesselation of a plane into convex random polygons determined by a unit intensity Poissonian line process. LetM(A)be the ergodic intensity of random polygons with areas exceeding a valueA. A two-sided asymptotic boundexp{−2A/π+c0A16}2.096,c1>6.36.

[学科分类] 应用数学