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A reduction principle for the critical values of random spherical harmonics

  • Published:2020-04 Issue:4 Volume:130 Page:2433-2470
  • ISSN:0304-4149
  • Container-title:Stochastic Processes and their Applications
  • language:en
  • Short-container-title:Stochastic Processes and their Applications

Author:

Cammarota Valentina,Marinucci Domenico

Funder

University of Rome Tor Vergata

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Statistics and Probability

Reference31 articles.

1. Random Fields and Geometry;Adler,2007

2. Topological complexity of smooth random functions;Adler,2011

3. Level Sets and Extrema of Random Processes and Fields;Azaïs,2009

4. Planck-scale distribution of nodal length of arithmetic random waves;Benatar;J. Anal. Math.,2017

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

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1. Fluctuations of Level Curves for Time-Dependent Spherical Random Fields;Annales Henri Lebesgue;2024-09-05

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

3. Modification of Sulcal Geometry Reconstruction Results Based on Spherical Harmonics Coefficients;2022 16th ICME International Conference on Complex Medical Engineering (CME);2022-11-04

4. On the correlation between critical points and critical values for random spherical harmonics;Theory of Probability and Mathematical Statistics;2022-05-16

5. On the Correlation of Critical Points and Angular Trispectrum for Random Spherical Harmonics;Journal of Theoretical Probability;2021-10-22
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