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Nodal Statistics of Planar Random Waves
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Nodal length fluctuations for arithmetic random waves
Krishnapur, M., Kurlberg, P., & Wigman, I. (2013) · Annals of Mathematics · doi:10.4007/annals.2013.177.2.8 · Cited by 89
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Cited by
The phase transition for planar Gaussian percolation models without FKG
Muirhead, S., Rivera, A., Vanneuville, H., & Köhler-Schindler, L. (2020) · arXiv · doi:10.48550/arxiv.2010.11770 · Cited by 21
Diophantine Gaussian excursions and random walks
Lachièze-Rey, R. (2021) · arXiv · doi:10.48550/arxiv.2104.07290 · Cited by 1
Metadata
- Authors
- Nourdin, I., Peccati, G., & Rossi, M.
- Affiliations
- University of Luxembourg (LU)
- University of Pisa (IT)
- Corresponding author
- Nourdin, Ivan
- Venue
- Communications in Mathematical Physics
- Published
- 2019-05-16
- Volume
- 369
- Issue
- 1
- Pages
- 99-151
- ISSN
- 0010-3616 (ISSN-L)
- 1432-0916
- OpenAlex
- W2742674378
- Cited by
- 60
- References
- 1
- Citations by year
- 2026: 2 · 2025: 5 · 2024: 8 · 2023: 7 · 2022: 10 · 2021: 8 · 2020: 14 · 2019: 6
- FWCI
- 10.90
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- www.springer.com/tdm (tdm)
- www.springer.com/tdm (vor)
- Locations
- Communications in Mathematical Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Open Repository and Bibliography (University of Luxembourg) (submittedVersion, other-oa)
- CINECA IRIS Institutial research information system (University of Pisa) (submittedVersion)
- BOA (University of Milano-Bicocca) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Université du Luxembourg
- Topics
- Physical Sciences › Mathematics › Mathematical Physics › Spectral Theory in Mathematical Physics
- Physical Sciences › Mathematics › Algebra and Number Theory › Analytic Number Theory Research
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Quantum chaos and dynamical systems
- Keywords
- central limit theorem, nodal length, high-energy limit, limit theorems
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.