Anisotropic Poisson Processes of Cylinders

被引:0
|
作者
Malte Spiess
Evgeny Spodarev
机构
[1] Ulm University,Institute of Stochastics
关键词
Porous media; Fiber process; Anisotropy; Intrinsic volumes; Stochastic geometry; 60D05; 60G10;
D O I
暂无
中图分类号
学科分类号
摘要
Main characteristics of stationary anisotropic Poisson processes of cylinders (dilated k-dimensional flats) in d-dimensional Euclidean space are studied. Explicit formulae for the capacity functional, the covariance function, the contact distribution function, the volume fraction, and the intensity of the surface area measure are given which can be used directly in applications.
引用
收藏
页码:801 / 819
页数:18
相关论文
共 50 条
  • [31] Description of Poisson processes
    Galushka, AN
    Fominykh, VI
    ATOMIC ENERGY, 1995, 79 (06) : 836 - 839
  • [32] CONDITIONAL POISSON PROCESSES
    SERFOZO, RF
    JOURNAL OF APPLIED PROBABILITY, 1972, 9 (02) : 288 - &
  • [33] Paretian Poisson processes
    Eliazar, Iddo
    Klafter, Joseph
    JOURNAL OF STATISTICAL PHYSICS, 2008, 131 (03) : 487 - 504
  • [34] Fractal Poisson processes
    Eliazar, Iddo
    Klafter, Joseph
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2008, 387 (21) : 4985 - 4996
  • [35] Poisson fractional processes
    Wang, XT
    Wen, ZX
    CHAOS SOLITONS & FRACTALS, 2003, 18 (01) : 169 - 177
  • [36] CHARACTERIZATION OF POISSON PROCESSES
    FELLOUS, A
    GRANARA, J
    ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1977, 39 (01): : 71 - 79
  • [37] ON THE POISSON CLUSTERING PROCESSES
    AMBARTZUMIAN, RV
    BULLETIN OF THE INTERNATIONAL STATISTICAL INSTITUTE, 1965, 41 (01): : 388 - 390
  • [38] DISCRIMINATION OF POISSON PROCESSES
    BROWN, M
    ANNALS OF MATHEMATICAL STATISTICS, 1971, 42 (02): : 773 - &
  • [39] CASCADED POISSON PROCESSES
    MATSUO, K
    SALEH, BEA
    TEICH, MC
    JOURNAL OF MATHEMATICAL PHYSICS, 1982, 23 (12) : 2353 - 2364
  • [40] POISSON SUPERPOSITION PROCESSES
    Crane, Harry
    Mccullagh, Peter
    JOURNAL OF APPLIED PROBABILITY, 2015, 52 (04) : 1013 - 1027