A mathematical theory of stochastic microlensing. II. Random images, shear, and the Kac–Rice formula

DOI10.1063/1.3267859zbMath1372.85006arXiv0807.4984OpenAlexW3105154187MaRDI QIDQ3583731

Arlie O. Petters, Brian Rider, Alberto Teguia

Publication date: 17 August 2010

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.4984

zbMATH Keywords

stochastic processesprobabilityrandom processesfunctional analysisMorse potentialstar clustersgravitational lenses

Mathematics Subject Classification ID

Random fields (60G60) Random fields; image analysis (62M40) Astrophysical cosmology (85A40)

Related Items (6)

Transcendental harmonic mappings and gravitational lensing by isothermal galaxies ⋮ On the numbers of images of two stochastic gravitational lensing models ⋮ Mathematics of gravitational lensing: Multiple imaging and magnification ⋮ Rice formula for processes with jumps and applications ⋮ On the zeros of random harmonic polynomials: the truncated model ⋮ On mixed polynomials of bidegree \((n,1)\)

Cites Work

• Unnamed Item
• Unnamed Item
• Random complex zeroes. I: Asymptotic normality
• On the distribution of the maximum of a Gaussian field with \(d\) parameters
• Random complex zeroes. III: Decay of the hole probability
• Random complex zeroes. II. Perturbed lattice
• On the number of zeros of certain rational harmonic functions
• Morse Theory. (AM-51)
• Exact statistical properties of the zeros of complex random polynomials
• Multiplane gravitational lensing. III. Upper bound on number of images
• Multiplane gravitational lensing. II. Global geometry of caustics
• The Complex Zeros of Random Polynomials
• A mathematical theory of stochastic microlensing. I. Random time delay functions and lensing maps
• Lens-Like Action of a Star by the Deviation of Light in the Gravitational Field

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