No repulsion between critical points for planar Gaussian random fields
From MaRDI portal
Publication:2064881
DOI10.1214/20-ECP362zbMath1477.60077arXiv1911.03455OpenAlexW3099374938MaRDI QIDQ2064881
Valentina Cammarota, Igor Wigman, Dmitri B. Beliaev
Publication date: 6 January 2022
Published in: Electronic Communications in Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.03455
Random fields (60G60) Gaussian processes (60G15) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
Related Items (4)
Mean number and correlation function of critical points of isotropic Gaussian fields and some results on GOE random matrices ⋮ On the correlation between critical points and critical values for random spherical harmonics ⋮ Local repulsion of planar Gaussian critical points ⋮ Critical point asymptotics for Gaussian random waves with densities of any Sobolev regularity
Cites Work
- Unnamed Item
- Unnamed Item
- On the distribution of the critical values of random spherical harmonics
- Eigenfunctions with few critical points.
- Fluctuations of the total number of critical points of random spherical harmonics
- A second moment bound for critical points of planar Gaussian fields in shrinking height windows
- Multiple testing of local maxima for detection of peaks on the (celestial) sphere
- Complexity of Random Energy Landscapes, Glass Transition, and Absolute Value of the Spectral Determinant of Random Matrices
- Level Sets and Extrema of Random Processes and Fields
- On the number of nodal domains of random spherical harmonics
- Regular and irregular semiclassical wavefunctions
- Statistics of nodal lines and points in chaotic quantum billiards: perimeter corrections, fluctuations, curvature
- Generalized Calabi-Yau Manifolds
- Two Point Function for Critical Points of a Random Plane Wave
- Eigenfunctions with Infinitely Many Isolated Critical Points
This page was built for publication: No repulsion between critical points for planar Gaussian random fields