Corpus ID: 124189976

Invariant Gaussian Fields on Homogeneous Spaces : Explicit Constructions and Geometric Measure of the Zero-set

@article{Afgoustidis2015InvariantGF,
  title={Invariant Gaussian Fields on Homogeneous Spaces : Explicit Constructions and Geometric Measure of the Zero-set},
  author={Alexandre Afgoustidis},
  journal={arXiv: Probability},
  year={2015}
}
This paper is concerned with the properties of Gaussian random fields defined on a riemannian homogeneous space, under the assumption that the probability distribution be invariant under the isometry group of the space. We first indicate, building on early results of Yaglom, how the available information on group-representation-theory-related special functions makes it possible to give completely explicit descriptions of these fields in many cases of interest. We then turn to the expected size… Expand
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References

SHOWING 1-10 OF 41 REFERENCES
Infinite dimensional spherical analysis
  • 17
  • PDF
Orientation Maps in V1 and Non-Euclidean Geometry
  • 8
Invariant Random Fields on Spaces with a Group Action
  • 40
Random Fields and Geometry
  • 1,145
Second-order Homogeneous Random Fields
  • 124
  • Highly Influential
  • PDF
Monochromaticity of Orientation Maps in V1 Implies Minimum Variance for Hypercolumn Size
  • 6
Phase singularities in isotropic random waves
  • M. Berry, M. Dennis
  • Physics
  • Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
  • 2000
  • 258
  • PDF
...
1
2
3
4
5
...