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On Arnold's and Kazhdan's equidistribution problems
Arnold's Kazhdan's equidistribution problems
2010/12/13
We consider isometric actions of lattices in semisimple algebraic groups on (possibly non-compact) homogeneous spaces with (possibly infinite) invariant Radon measure. We assume that
the action has a...
Partial Match Queries in Two-Dimensional Quadtrees : a Probabilistic Approach
Quadtree Partial match query Fragmentation theory Markov chain Coupling
2010/12/7
We analyze the mean cost of the partial match queries in random two-dimensional quadtrees. The method is based on fragmentation theory. The convergence is guaranteed by a coupling argument of Markov c...
Distribution of the systolic volume of homology classes
Systolic volume homology of a group with integer coefficients
2010/12/6
Given a pair (G, a) where G is a finitely presentable group and a is an integer homology class of this group, Gromov defined in [Gro83] a new numerical invariant associated to this pair called systoli...
The distribution of height and diameter in random non-plane binary trees
distribution of height diameter in random non-plane binary trees
2010/12/1
This study is dedicated to precise distributional analyses of the height of non-plane unlabelled binary trees (“Otter trees”), when trees of a given size are taken with equal likelihood. The height of...
Nowadays we are witnessing major changes both in the acquisition and representation of signals and in the computing platforms for their processing.
Fastest Distributed Consensus on Petal Networks
Fastest Distributed Consensus Petal Networks
2010/12/13
Providing an analytical solution for the problem of finding Fastest Distributed Consensus (FDC) is one of the challenging problems in the field of sensor networks. Here in this work we present analyti...
A characterization of non-central Wishart distributions
non-central Wishart distribution Gindikin ensemble Wishart processes
2010/11/29
This paper settles the existence issue of non-central Wishart distributions which is a research topic initiated byWishart (1928), and with important contributions by e.g., L´evy
(1937), Gindiki...
Probabilistic Representation of Bernoulli, Euler and Carlitz Hermite Polynomials
Probabilistic Representation Euler Carlitz Hermite Polynomials
2010/12/6
We revisit in a probabilistic framework the umbral approach of Bernoulli numbers,Euler numbers and Carlitz Hermite polynomials by Gessel [1]. This study allows to explicit equivalents of some famous u...
Smaller population size at the MRCA time for stationary branching processes
Branching process most recent common ancestor bottleneck genealogy
2010/11/30
We present an elementary model of random size varying population given by a stationary continuous state branching process. For this model we compute the joint distribution
of: the time to the most re...
Stationary distributions for jump processes with inert drift
Stationary distributions jump processes inert drift
2010/12/6
We analyze jump processes Z with “inert drift” determined by a “memory”process S. The state space of (Z, S) is the Cartesian product of the unit circle and the real line. We prove that the stationary ...
Generalised shape theory via pseudo-Wishart distribution
Shape theory maximum likelihood estimators zonal polynomials pseudo-Wishart distribution
2010/12/8
The non isotropic noncentral elliptical shape distributions via pseudo-Wishart dis-tribution are founded. This way, the classical shape theory is extended to non isotropic case and the normality assum...
国防科学技术大学概率论与数理统计课件第1章 5条件概率
国防科学技术大学 概率论与数理统计 课件 条件概率
2010/4/26
国防科学技术大学概率论与数理统计课件第1章 5条件概率。
国防科学技术大学概率论与数理统计课件第1章 4等可能概型
国防科学技术大学 概率论与数理统计 课件 等可能概型
2010/4/26
国防科学技术大学概率论与数理统计课件第1章 4等可能概型。
国防科学技术大学概率论与数理统计课件第1章 3频率与概率
国防科学技术大学 概率论与数理统计 课件 频率与概率
2010/4/26
国防科学技术大学概率论与数理统计课件第1章 3频率与概率。