数学物理学报(英文版) ›› 1991, Vol. 11 ›› Issue (3): 317-326.

• 论文 • 上一篇    下一篇

RANDOM CONVEX SETS IN A LATTICE OF PARALLELOGRAMS

任德麟, 张高勇   

  1. Wuhan Iron and Steel University, Wuhan, China
  • 收稿日期:1990-12-22 出版日期:1991-09-25 发布日期:1991-09-25
  • 基金资助:
    Supported partly by the National Science Funds of China.

RANDOM CONVEX SETS IN A LATTICE OF PARALLELOGRAMS

Ren Delin, Zhang Gaoyong   

  1. Wuhan Iron and Steel University, Wuhan, China
  • Received:1990-12-22 Online:1991-09-25 Published:1991-09-25
  • Supported by:
    Supported partly by the National Science Funds of China.

摘要: The distributions of the numbers of the intersections of random convex sets in a lattice of parallelograms are established by the width functions of the convex sets. The asymptotic distributions, independence and the hitting probabilities that the convex sets hit the lines of the lattice are also discussed.

Abstract: The distributions of the numbers of the intersections of random convex sets in a lattice of parallelograms are established by the width functions of the convex sets. The asymptotic distributions, independence and the hitting probabilities that the convex sets hit the lines of the lattice are also discussed.