Smoothness and monotonicity of the excursion set density of planar Gaussian fields
Nazarov and Sodin have shown that the number of connected components of the nodal set of a planar Gaussian field in a ball of radius R, normalised by area, converges to a constant as R→∞. This has been generalised to excursion/level sets at arbitrary levels, implying the existence of functionals cES...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
Institute of Mathematical Statistics
2020
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