getdocf548. 146KB Jun 04 2011 12:05:12 AM
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In this article, we show that the second nearest neighbor correlation function can be simplified with some combinatorial formulae, and give an explicit formula for the third
Next we will introduce the hybrid Hermite-Laguerre polynomials combining the individ- ual characteristics of both Laguerre and Hermite polynomials and explore their properties in
As Bru, Pedroche and Szyld studied the result in section 4 of [3], we continue to consider A and B to be principal submatrices of a given doubly diagonally dominant matrix such
We remark that our approach of using orthogonal polynomials to control the density pointwise was motivated by the work of Pastur and Shcherbina [26], where they proved sine-kernel
The most successful techniques in the quantitative study of (time homogeneous) finite Markov chains include: coupling, strong stationary time, spectral methods, and
Key words: semimartingales; Gaussian processes; stationary processes; moving averages; stochastic convolutions; non-canonical representations.. AMS 2000 Subject Classification:
The following theorem completes a recent accumulation of results concerning extended version of Itˆ o’s formula for one dimensional L´evy processes.. As it has been done in [6],
[3] Castro M., Gr¨ unbaum F.A., The algebra of matrix valued differential operators associated to a given family of matrix valued orthogonal polynomials: five instructive examples,
