A central limit theorem for the number of excursion set components of gaussian fields
For a smooth stationary Gaussian field f on Rd𝑅𝑑 and level ℓ∈Rℓ∈𝑅, we consider the number of connected components of the excursion set {f≥ℓ}{𝑓≥ℓ} (or level set {f=ℓ}{𝑓=ℓ}) contained in large domains. The mean of this quantity is known to scale like the volume of the domain under general assumptions...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
Institute of Mathematical Statistics
2024
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