Asymptotic Properties and Hausdorff Dimensions of Fractional Brownian Sheets

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Operator scaling stable random fields (2006, background): “See [5,13,21] and the literature cited there for more information on these fields.”
A multiparameter Garsia–Rodemich–Rumsey inequality and some applications (2012, background): “the results in [6], [10] and provides a different approach for sample path property problem of random fields (compare to the approach in [1], [2] and [11].”
Sample Path Properties of Anisotropic Gaussian Random Fields (2009, methodology): “212] which will be used to derive a lower bound for dim H X([0 , 1]); the latter is proved in [7] which will be needed for determining a lower bound for dimH GrX([0 , 1] ).”
Sample path properties of bifractional Brownian motion (2006, background): “Applying Lemma 4.8, we can prove that many results in Xiao and Zhang [46] and Ayache and Xiao [5] on sample path properties of fractional Brownian sheet also hold for BH,K .”
Geometric Properties of Fractional Brownian Sheets (2007, methodology): “It is related to Theorem 3.1 in Ayache and Xiao (2005).”