Exact Uniform Modulus of Continuity for Q-Isotropic Gaussian Random Fields
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In this paper , the existence of an exact uniform modulus continuity for the class of q-isotropic Gaussian random processes was proved for a d-dimensional version of the B γ Gaussian processes.Abstract:
We find sufficient conditions for the existence of an exact uniform modulus continuity for the class of q -isotropic Gaussian random fields introduced in [8]. We apply the result to a d -dimensional version of the B γ Gaussian processes defined in [14].read more
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Robert J. Adler,Jonathan Taylor +1 more
TL;DR: Random Fields and Geometry as discussed by the authors is a comprehensive survey of the general theory of Gaussian random fields with a focus on geometric problems arising in the study of random fields, including continuity and boundedness, entropy and majorizing measures, Borell and Slepian inequalities.
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The integral of a symmetric unimodal function over a symmetric convex set and some probability inequalities
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Asymptotic Properties and Hausdorff Dimensions of Fractional Brownian Sheets
Antoine Ayache,Yimin Xiao +1 more
TL;DR: In this paper, the uniform and local asymptotic properties of B H were proved by using wavelet methods and the Hausdorff and packing dimensions of the range B H ((0, 1) N ), the graph GrB H (( 0,1) N ) and the level set were determined.