STIT Tessellations have trivial tail sigma-algebraScienceOpen
摘要: We consider homogeneous STIT tessellations Y in the \ell-dimensional Euclidean space and show the triviality of the tail \sigma-algebra. This is a sharpening of the mixing result by Lachièze-Rey.关键词: Mathematics - Probability
Application of a group algebra to problems on the tail $sigma$-algebra of a random walk on a group and to problems on the ergodicity of a skew action. We study relatively invariant measures with the multiplicators Q(+)* There Existsq bar right arrow q(-beta) on the space A(f) of ...
STIT Tessellations have trivial tail σ-algebra Servet Martínez,Werner Nagel Full-Text Cite this paper Add to My Lib Abstract: We consider homogeneous STIT tessellations Y in the \ell-dimensional Euclidean space and show the triviality of the tail \sigma-algebra. This is a sharpening of the...
Furthermore, denote the Borel \sigma-Algebra on \mathbb {R}^p by \mathcal{B}(\mathbb R^p). Consider the class M_0(\mathbb R^p) of all Borel measures \mu on \mathcal{B}(\mathbb R^p) that are finite on sets bounded away from 0, i.e., such that \mu (B(0,\varepsilon ...
-point problems of Yakir and Pollak (1998), which has subsequently been extended to deal with a wide variety of problems involving maxima of random fields, has as a key ingredient a conditional local limit theorem for a log-likelihood ratio, given an almost independent local sigma-algebra. ...
For any integer s, with 2 <= s <= k, the d(s)-supertail S of P is the collection of all subspaces X is an element of P such that dim X < d(s). It was shown that vertical bar S vertical bar >=sigma(q)(ds,ds--1), where sigma(q)(d(s), d(s-1)) denotes the ...
For any integer s, with 2 <= s <= k, the d(s)-supertail S of P is the collection of all subspaces X is an element of P such that dim X < d(s). It was shown that vertical bar S vertical bar >=sigma(q)(ds,ds--1), where sigma(q)(d(s), d(s-1)) denotes the ...