Brownian surface

A Brownian surface is a fractal surface generated via a fractal elevation function. For instance, in the three-dimensional case, where two variables…

Papers overview

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2015

Let $B^H = \{ B^H(t), t\in\mathbb{R}^N \}$ be an $(N,d)$-fractional Brownian sheet with Hurst index $H=(H_1,\dotsc,H_N)\in (0,1…

2014

For a stationary random field (Xj)j∈Zd and some measure μ on R d, we consider the set-indexed weighted sum process Sn(A) = ∑ j∈Zd…

2010

DBC (Differential Box-Counting) has been proved the least complex and the most convenient way to calculate the fractal dimension…

2008

2007

Finite difference quasi-electrostatic simulations are used to predict the interfacial dielectric permittivity of a rough-surfaced…

2006

Let B = B(t), t ∈ R+ be an (N, d)-fractional Brownian sheet with Hurst index H = (H1, . . . , HN ) ∈ (0, 1) . Our objective of…

2004

The fractal properties of the clusters corresponding to the regions whose contour is a fractional brownian path have been…

2002

We investigate the small ball problem for d-dimensional fractional Brownian sheets by functional analytic methods. For this…

1998

1993