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…

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…

2004

Valid application of the Kirchhoff approximation (KA) for scattering from rough surfaces requires that the surface radius of…

2002

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

1998

1990

We present a method for making accurate measurements of the instantaneous fractal dimension of (1) images modeled as fractal…