ar X iv : m at h / 05 10 30 5 v 1 [ m at h . PR ] 1 4 O ct 2 00 5 Recursive Partition Structures ∗
نویسنده
چکیده
A class of random discrete distributions P is introduced by means of a recursive splitting of unity. Assuming supercritical branching, we show that for partitions induced by sampling from such P a power growth of the number of blocks is typical. Some known and some new partition structures appear when P is induced by a Dirichlet splitting. AMS 2000 subject classifications: Primary 60G09, 60C05
منابع مشابه
ar X iv : m at h / 05 10 24 8 v 1 [ m at h . O A ] 1 2 O ct 2 00 5 THE CORONA FACTORIZATION PROPERTY
The corona factorization property is a property with connections to extension theory, K-theory and the structure of C *-algebras. This paper is a short survey of the subject, together with some new results and open questions.
متن کاملar X iv : m at h / 05 04 37 3 v 1 [ m at h . Q A ] 1 9 A pr 2 00 5 Lax Operator for the Quantised Orthosymplectic
متن کامل
ar X iv : m at h / 05 04 08 2 v 4 [ m at h . D G ] 1 5 A pr 2 00 6 COMPLETE PROJECTIVE CONNECTIONS
The first examples of complete projective connections are uncovered: on surfaces, normal projective connections whose geodesics are all closed and embedded are complete. On manifolds of any dimension, normal projective connections induced from complete affine connections with slowly decaying positive Ricci curvature are complete.
متن کاملar X iv : m at h / 05 08 29 7 v 2 [ m at h . ST ] 3 O ct 2 00 5 CONVERGENCE OF ESTIMATORS IN LLS ANALYSIS
We establish necessary and sufficient conditions for consistency of estimators of mixing distribution in linear latent structure analysis.
متن کاملar X iv : m at h / 05 05 01 1 v 4 [ m at h . PR ] 5 J un 2 00 6 EXCHANGEABLE , GIBBS AND EQUILIBRIUM MEASURES FOR MARKOV
We study a class of strongly irreducible, multidimensional, topological Markov shifts, comparing two notions of “symmetric measure”: exchangeability and the Gibbs (or conformal) property. We show that equilibrium measures for such shifts (unique and weak Bernoulli in the one dimensional case) exhibit a variety of spectral properties.
متن کامل