Asymptotic topology of excursion and nodal sets of Gaussian random fields
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Publication:2170261
DOI10.1515/crelle-2022-0027OpenAlexW3170658292WikidataQ114053123 ScholiaQ114053123MaRDI QIDQ2170261
Publication date: 30 August 2022
Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.05276
Random fields (60G60) Gaussian processes (60G15) Critical points and critical submanifolds in differential topology (57R70)
Cites Work
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- Expected volume and Euler characteristic of random submanifolds
- Gap probabilities and Betti numbers of a random intersection of quadrics
- Betti numbers of random real hypersurfaces and determinants of random symmetric matrices
- Universal components of random nodal sets
- A central limit theorem for the Euler characteristic of a Gaussian excursion set
- A Morse complex on manifolds with boundary
- Exponential rarefaction of real curves with many components
- Level crossings for random fields
- Distribution of zeros of random and quantum chaotic sections of positive line bundles
- Betti numbers of random nodal sets of elliptic pseudo-differential operators
- On the number of excursion sets of planar Gaussian fields
- Topology change of level sets in Morse theory
- On the expected Betti numbers of the nodal set of random fields
- A lower bound for the Bogomolny-Schmit constant for random monochromatic plane waves
- Quasi-independence for nodal lines
- What is the total Betti number of a random real hypersurface?
- Critical sets of random smooth functions on compact manifolds
- Morse Theorie für berandete Mannigfaltigkeiten. (Morse theory for bounded manifolds)
- Low-degree approximation of random polynomials
- Lower estimates for the expected Betti numbers of random real hypersurfaces
- Asymptotic Laws for the Spatial Distribution and the Number of Connected Components of Zero Sets of Gaussian Random Functions
- Topologies of Nodal Sets of Random Band‐Limited Functions
- Topology and Nesting of the Zero Set Components of Monochromatic Random Waves
- Alpha, Betti and the Megaparsec Universe: On the Topology of the Cosmic Web
- Fluctuations in the number of nodal domains
- On the number of nodal domains of random spherical harmonics
- An Introduction to Random Matrices
- Morse Theory. (AM-51)
- Random Matrices and Complexity of Spin Glasses
- Statistics on Hilbert's 16th Problem
- Analytic and geometric study of stratified spaces
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