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Counting Open Nodal Lines of Random Waves on Planar Domains

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Publication:3181979
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DOI10.1093/imrn/rnp052zbMath1184.35125arXiv0810.1276OpenAlexW2170751889MaRDI QIDQ3181979

Igor Wigman, John A. Toth

Publication date: 1 October 2009

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.1276



Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs with randomness, stochastic partial differential equations (35R60)


Related Items (6)

Completeness of boundary traces of eigenfunctions ⋮ Fluctuations of the nodal length of random spherical harmonics ⋮ No smooth phase transition for the nodal length of band-limited spherical random fields ⋮ Nodal length fluctuations for arithmetic random waves ⋮ Scaling of harmonic oscillator eigenfunctions and their nodal sets around the caustic ⋮ On the distribution of local extrema in quantum chaos




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