Multivariate random fields and their zero sets

DOI10.1090/conm/736/14849zbMath1439.35163OpenAlexW2973863244MaRDI QIDQ5210876

Michael E. Taylor

Publication date: 22 January 2020

Published in: Dynamical Systems and Random Processes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/736/14849

zbMATH Keywords

vector bundleselliptic operatorsrandom fieldsGaussian fields

Mathematics Subject Classification ID

Random fields (60G60) Pseudodifferential operators as generalizations of partial differential operators (35S05) General topics in linear spectral theory for PDEs (35P05) Second-order hyperbolic equations (35L10) Initial value problems for second-order parabolic systems (35K45) Second-order elliptic systems (35J47)

Cites Work

• Scaling limit for the kernel of the spectral projector and remainder estimates in the pointwise Weyl law
• Local universality for zeros and critical points of monochromatic random waves
• The spectral function of an elliptic operator
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Complexity of random smooth functions on compact manifolds
• Random Fields on the Sphere
• Topology and Nesting of the Zero Set Components of Monochromatic Random Waves
• Real and complex zeros of Riemannian random waves
• Random Fields and Geometry
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
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