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A Laplace type problem for lattice with the axial symmetry and different types of obstacle. II - MaRDI portal

A Laplace type problem for lattice with the axial symmetry and different types of obstacle. II (Q2837908)

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scientific article; zbMATH DE number 6184900
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A Laplace type problem for lattice with the axial symmetry and different types of obstacle. II
scientific article; zbMATH DE number 6184900

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    8 July 2013
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    geometric probability
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    integral geometry
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    random convex set
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    random set
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    stochastic geometry
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    A Laplace type problem for lattice with the axial symmetry and different types of obstacle. II (English)
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    In this paper the authors compute the probability that a segment of constant length, and random position, intersects a side of some lattices having axial symmetry. Lattices are formed by suitable triples of rectangles with obstacles of various types.NEWLINENEWLINE For Part I of this paper see [the authors, ibid. 58, No. 1, 99--118 (2011; Zbl 1266.52011)].
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