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- W2023001842 abstract "The present paper is primarily concerned with the structure of certain random sets of flats in n -dimensional Euclidean space R n . To be more specific, let be the space of k -dimensional affine subspaces of R n (to be called k -flats below), equipped with its natural topology ((14), p. 132). is a topological homogeneous space under the action of the group of Euclidean displacements in R n and our purpose is to give conditions under which a stochastic point process on , stationary under , is a doubly stochastic Poisson process. The results will be seen to apply equally well to abstract spaces sharing some of the structural properties of ." @default.
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- W2023001842 date "1976-09-01" @default.
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- W2023001842 title "Point processes on spaces of flats and other homogeneous spaces" @default.
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- W2023001842 doi "https://doi.org/10.1017/s0305004100052932" @default.
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