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High-Frequency Asymptotics for Lipschitz-Killing Curvatures of Excursion Sets on the Sphere
High-Frequency Asymptotics Spherical Ran-dom Fields Gaussian Subordination Lipschitz-Killing Curvatures Minkowski Functionals Excursion Sets
2013/5/2
In this paper, we shall be concerned with geometric functionals and excursion probabilities for some nonlinear transforms evaluated on Fourier components of spherical random fields. In particular, we ...
Lipschitz-Killing curvatures of self-similar random fractals
self-similar random fractals curvatures Minkowski content
2010/12/15
For a large class of self-similar random sets F in Rd geometric parameters Ck(F), k = 0, . . . , d, are introduced. They arise as a.s. (average or essential) limits of the volume Cd(F(")), the surface...
