scientific article; zbMATH DE number 6870608
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Publication:4641991
zbMath1388.60093MaRDI QIDQ4641991
Publication date: 18 May 2018
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Random fields (60G60) Geometric probability and stochastic geometry (60D05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Sample path properties (60G17)
Related Items (16)
Volume distribution of nodal domains of random band-limited functions ⋮ Equidistribution of the conormal cycle of random nodal sets ⋮ Variation of the Nazarov-Sodin constant for random plane waves and arithmetic random waves ⋮ Nodal set of monochromatic waves satisfying the random wave model ⋮ The blowup along the diagonal of the spectral function of the Laplacian ⋮ Coupling of stationary fields with application to arithmetic waves ⋮ On the distribution of the critical values of random spherical harmonics ⋮ Pattern Size in Gaussian Fields from Spinodal Decomposition ⋮ Planck-scale number of nodal domains for toral eigenfunctions ⋮ The phase transition for planar Gaussian percolation models without FKG ⋮ Non-integrability and chaos for natural Hamiltonian systems with a random potential ⋮ On the number of excursion sets of planar Gaussian fields ⋮ Direction distribution for nodal components of random band-limited functions on surfaces ⋮ On toral eigenfunctions and the random wave model ⋮ Effective bounds for monochromatic connectivity measures in two dimensions ⋮ The defect of toral Laplace eigenfunctions and arithmetic random waves
Cites Work
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- The Brunn-Minkowski inequality in Gauss space
- Non-universality of the Nazarov-Sodin constant
- Marcinkiewicz-Zygmund inequalities and interpolation by spherical harmonics
- The ergodic theorem
- On the Bogomolny–Schmit conjecture
- Lower estimates for the expected Betti numbers of random real hypersurfaces
- Asymptotic Laws for the Spatial Distribution and the Number of Connected Components of Zero Sets of Gaussian Random Functions
- Topologies of Nodal Sets of Random Band‐Limited Functions
- Topology and Nesting of the Zero Set Components of Monochromatic Random Waves
- Level Sets and Extrema of Random Processes and Fields
- On the number of nodal domains of random spherical harmonics
- Random Fields and Geometry
- Random wavefunctions and percolation
- Statistics on Hilbert's 16th Problem
- Stochastic processes and statistical inference
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