A note on the reduction principle for the nodal length of planar random waves

Author:

Vidotto Anna

Funder

Ministry of Education University and Research

Publisher

Elsevier BV

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference21 articles.

1. Random fields and geometry;Adler,2007

2. Regular and irregular semiclassical wavefunctions;Berry;J. Phys. A,1977

3. Statistics of nodal lines and points in chaotic quantum billiards: perimeter corrections, fluctuations, curvature;Berry;J. Phys. A,2002

4. A quantitative central limit theorem for the Euler-Poincaré characteristic of random spherical eigenfunctions;Cammarota;Ann. Probab.,2018

5. On the correlation of critical points and angular trispectrum for random spherical harmonics;Cammarota,2019

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1. Asymptotic covariances for functionals of weakly stationary random fields;Stochastic Processes and their Applications;2024-04

2. No smooth phase transition for the nodal length of band-limited spherical random fields;Stochastic Processes and their Applications;2024-03

3. Spherical Poisson waves;Electronic Journal of Probability;2024-01-01

4. On the nodal structures of random fields: a decade of results;Journal of Applied and Computational Topology;2023-09-30

5. Small Scale CLTs for the Nodal Length of Monochromatic Waves;Communications in Mathematical Physics;2022-11-19

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