Some results on random fields admitting a spectral representation with infinitely divisible integrator

2010/10/23 by Wolfgang Karcher, Karcher, Wolfgang
Mathematics · #Geometry and complex manifolds #Mathematical Dynamics and Fractals #Point processes and geometric inequalities #math.PR #msc:60E07 #msc:60G60

paper · pdf · doi:10.48550/arxiv.1010.4879

11 pages

arxiv created 2010/10/23 · arxiv updated 2010/10/26

Abstract

We consider random fields admitting a spectral representation with infinitely divisible integrator and prove some of their properties.

Related

• Infinite divisibility of random fields admitting an integral representation with an infinitely divisible integrator
• Simulation of infinitely divisible random fields
• Explicit form of the random field spectral representation and some applications
• Mixing properties of multivariate infinitely divisible random fields
• Spectral representations of quasi-infinitely divisible processes