Laplace problems for regular lattices

被引:0
|
作者
Caristi, Giuseppe [1 ]
机构
[1] Univ Messina, Dept SEA, Via Verdi 75, I-98122 Messina, Italy
关键词
Geometric Probability; stochastic geometry; random sets; random convex sets and integral geometry;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Let R-1 (a, b, c), R-2 (a, b, c) and R-3 (a, b, c) be three regular lattice with the fundamental cell as in fig 1, fig 8 and fig 12. We compute the probability that a random segment of constant lenght 1 intersects a side of the lattice. In particular cases we obtain the Laplace probability.
引用
收藏
页码:27 / +
页数:2
相关论文
共 50 条
  • [31] Macroscopic elastic properties of regular lattices
    Wang, Yucang
    Mora, Peter
    JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2008, 56 (12) : 3459 - 3474
  • [32] Regular operators between Banach lattices
    Wickstead, A. W.
    Positivity, 2007, : 255 - 279
  • [33] The growth of minicircle networks on regular lattices
    Diao, Y.
    Hinson, K.
    Arsuaga, J.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2012, 45 (03)
  • [34] REGULAR IDENTITIES OF LATTICES .2.
    PADMANABHAN, R
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (06): : 959 - +
  • [35] Wave Communication across Regular Lattices
    Hein, Birgit
    Tanner, Gregor
    PHYSICAL REVIEW LETTERS, 2009, 103 (26)
  • [36] Regular polytopes, root lattices, and quasicrystals
    King, RB
    CROATICA CHEMICA ACTA, 2004, 77 (1-2) : 133 - 140
  • [37] Endomorphisms of finite regular Kleene lattices
    Hernando Gaitán
    Algebra universalis, 2012, 67 : 189 - 204
  • [38] Anomalous relaxation in regular and fractal lattices
    Gonzalez, O
    Araujo, M
    PHYSICAL REVIEW E, 1997, 55 (03): : 2222 - 2227
  • [39] LATTICES OF COMPLETELY REGULAR SEMIGROUP VARIETIES
    PASTIJN, FJ
    TROTTER, PG
    PACIFIC JOURNAL OF MATHEMATICS, 1985, 119 (01) : 191 - 214
  • [40] Optimization of random searches on regular lattices
    Santos, MC
    Viswanathan, GM
    Raposo, EP
    da Luz, MGE
    PHYSICAL REVIEW E, 2005, 72 (04):