搜索结果: 1-10 共查到“数理逻辑与数学基础 H-measures”相关记录10条 . 查询时间(0.25 秒)
second moment but satisfying some weaker finite moment condition. For
any locally compact unimodular group G and any positive function :G→
[0,+∞], we introduce a function G, which describes the ...
Martin-Lof randomness, invariant measures and countable homogeneous structurs
Martin-Lof randomness topological dynamics amenable groups Fraisse limits Ramsey theory
2012/5/24
We use ideas from topological dynamics (amenability), combinatorics (structural Ramsey theory) and model theory (Fra\" {i}ss\' e limits) to study closed amenable subgroups $G$ of the symmetric group $...
Interpolating Thin-Shell and Sharp Large-Deviation Estimates For Isotropic Log-Concave Measures
Interpolating Thin-Shell Sharp Large-Deviation Estimates Isotropic Log-Concave Measures
2010/11/9
Given an isotropic random vector $X$ with log-concave density in Euclidean space $\Real^n$, we study the concentration properties of $|X|$. We show in particular that: \[ \P(|X| \geq (1+t) \sqrt{n}) ...
Isospectral measures
Isospectral measures math
2010/11/11
In recent papers a number of authors have considered Borel probability measures $\mu$ in $\br^d$ such that the Hilbert space $L^2(\mu)$ has a Fourier basis (orthogonal) of complex exponentials. If $\m...
Pfaffian L-ensembles related to the z-measures on partitions with the Jack parameters 1/2 or 2
the z-measures on partitions the Jack parameters
2010/11/15
We construct Pfaffian L-ensembles related to the z-measures on partitions and to the Plancherel measures on partitions with the Jack parameters 1/2 or 2. The results imply that these measures on part...
Existence of doubling measures via generalised nested cubes
doubling measures via generalised nested cubes
2010/11/9
Using generalised dyadic cubes and the mass distribution principle, we give a straightforward new proof for the existence of doubling measures in complete doubling metric spaces.
We construct a family of measures on $\bbR$ that are purely singular with respect to Lebesgue measure, and yet exhibit universal sine-kernel asymptotics in the bulk. The measures are best described v...
On the finite-dimensional marginals of shift-invariant measures
On the finite-dimensional marginals shift-invariant measures
2010/11/17
Let $\Sigma$ be a finite alphabet, $\Omega=\Sigma^{\mathbb{Z}^{d}}$ equipped with the shift action, and $\mathcal{I}$ the simplex of shift-invariant measures on $\Omega$. We study the relation betwee...
This paper gives an overview of the theory of dynamic convex risk measures for random variables in discrete time setting. We summarize robust representation results of conditional convex risk measures...
Higher Order Generalization of Positive Linear Operators Defined by a Class of Borel Measures
Statistical convergence A-statistical convergence positive linear operators regular matrices the elements of the Lipschitz class Korovkin-type approximation theorem
2010/2/26
In the present paper, we introduce a sequence of linear operators, which is a higher order generalization of positive linear operators defined by a class of Borel measures studied in [2]. Then, using ...