搜索结果: 1-12 共查到“数学 Random Fields”相关记录12条 . 查询时间(0.125 秒)
Random determinants, mixed volumes of ellipsoids, and zeros of Gaussian random fields
Gaussian random determinant Wishart matrix Gaussian random parallelotope mixed volumes of ellipsoids location-dispersion ellipsoid
2012/6/15
Consider a $d\times d$ matrix $M$ whose rows are independent centered non-degenerate Gaussian vectors $\xi_1,...,\xi_d$ with covariance matrices $\Sigma_1,...,\Sigma_d$. Denote by $\mathcal{E}_i$ the ...
On the existence of paths between points in high level excursion sets of Gaussian random fields
Gaussian process excursion set large deviations exceedence probabilities connected component optimal path
2012/4/17
The structure of Gaussian random fields over high levels is a well researched and well understood area, particularly if the field is smooth. However, the question as to whether or not two or more poin...
Random fields on model sets with localized dependency and their diffraction
Diffraction Pure point spectrum Absolutely continuous spectrum Quasicrystal Model set
2011/9/19
Abstract: For a random field on a general discrete set, we introduce a condition that the range of the correlation from each site is within a predefined compact set D. For such a random field {\omega}...
On possible mixing rates for some strong mixing conditions for N-tuplewise independent random fields
Random field mixing conditions mixing rates N-tuplewise independence
2011/9/15
Abstract: For a given pair of positive integers $d$ and $N$ with $N \geq 2$, for strictly stationary random fields that are indexed by the $d$-dimensional integer lattice and satisfy $N$-tuplewise ind...
Abstract: In this paper, we discuss three extrapolation methods for alpha-stable random fields with 1<alpha<=2. We justify them, giving proofs of the existence and uniqueness of the solutions for each...
Central limit theorems for Hilbert-space valued random fields satisfying a strong mixing condition
Central limit theorems Hilbert-space valued
2011/1/19
In this paper we study the asymptotic normality of the normalized partial sum of a Hilbert-space valued strictly stationary random field satisfying the interlaced ρ′-mixing condition.
Poincaré inequality for Markov random fields via disagreement percolation
Poincar´ e inequality weak Poincar´ e inequality Gibbs mea-
2011/1/20
We consider Markov random fields of discrete spins on the lattice Zd. We use a technique of coupling of conditional distributions. If under the coupling the disagreement cluster is “sufficiently” subc...
Hausdorff and packing dimensions of the images of random fields
Hausdorff packing dimensions the images of random fields
2010/11/24
Let $X=\{X(t),t\in\mathbb{R}^N\}$ be a random field with values in $\mathbb{R}^d$. For any finite Borel measure $\mu$ and analytic set $E\subset\mathbb{R}^N$, the Hausdorff and packing dimensions of t...
Pair-wise Markov Random Fields Applied to the Design of Low Complexity MIMO Detectors
Pair-wise Markov Random Fields Design Low Complexity MIMO Detectors
2010/11/24
Pair-wise Markov random fields (MRF) are considered for application to the development of low complexity, iterative MIMO detection. Specifically, we consider two types of MRF, namely, the fully-conne...
Approximating entropy for a class of $\zz^2$ Markov Random Fields and pressure for a class of functions on $\zz^2$ shifts of finite type
multidimensional shifts of finite type Markov random fields
2010/12/7
For a class of Z2 Markov Random Fields (MRFs) μ, we show that the sequence of successive differences of entropies of induced MRFs on strips of height n converges exponentially fast (in n) to the entro...
The convergence of the law of the logarithm involving negatively associated random fields
negatively associated random fields
2010/9/13
In this paper, the convergence of negatively associated random fields is investigated, two sufficiency conditions for the law of the logarithum are obtained by the Rosenthal and maximal Rosenthal ineq...
Markov random fields are often used to model high dimensional distributions in a number of applied areas. A number of recent papers have studied the problem of reconstructing a dependency graph of bou...