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A universal magnification theorem for higher-order caustic singularities

https://doi.org/10.1063/1.3081055
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf01077644openalex-snapshot
Normal forms for functions near degenerate critical points, the Weyl groups of Ak, Dk, Ek and Lagrangian singularities
inferredcites →https://doi.org/10.1007/bf01106069openalex-snapshot
Evolution of singularities of potential flows in collision-free media and the metamorphosis of caustics in three-dimensional space
inferredcites →https://doi.org/10.1046/j.1365-8711.1998.01319.xopenalex-snapshot
Evidence for substructure in lens galaxies?
inferredcites →https://doi.org/10.1046/j.1365-8711.2000.03122.xopenalex-snapshot
On the magnification relations in quadruple lenses: a moment approach
inferredcites →https://doi.org/10.1063/1.1347394openalex-snapshot
Magnification relations in gravitational lensing via multidimensional residue integrals
inferredcites →https://doi.org/10.1063/1.2735443openalex-snapshot
A Lefschetz fixed point theorem in gravitational lensing
inferredcites →https://doi.org/10.1063/1.530045openalex-snapshot
Arnold’s singularity theory and gravitational lensing
inferredcites →https://doi.org/10.1086/164709openalex-snapshot
Fermat's principle, caustics, and the classification of gravitational lens images
inferredcites →https://doi.org/10.1086/304336openalex-snapshot
Infimum Microlensing Amplification of the Maximum Number of Images ofn‐Point Lens Systems
inferredcites →https://doi.org/10.1086/311761openalex-snapshot
The Magnification Invariant of Simple Galaxy Lens Models
inferredcites →https://doi.org/10.1086/321407openalex-snapshot
Lensing Properties of Scale‐free Galaxies
inferredcites →https://doi.org/10.1086/323695openalex-snapshot
Compound Gravitational Lensing as a Probe of Dark Matter Substructure within Galaxy Halos
inferredcites →https://doi.org/10.1086/324493openalex-snapshot
Probing Dark Matter Substructure in Lens Galaxies
inferredcites →https://doi.org/10.1086/378934openalex-snapshot
Identifying Lenses with Small‐Scale Structure. I. Cusp Lenses
inferredcites →https://doi.org/10.1086/497324openalex-snapshot
Identifying Lenses with Small‐Scale Structure. II. Fold Lenses

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4678334openalex-extracted
inferred← citeshttps://doi.org/10.1007/s10714-010-0968-6openalex-snapshot
Mathematics of gravitational lensing: multiple imaging and magnification
inferred← citeshttps://doi.org/10.1016/j.aop.2024.169626openalex-snapshot
Caustics in self-gravitating N-body systems and large scale structure of universe
inferred← citeshttps://doi.org/10.1063/1.3179163openalex-snapshot
A universal magnification theorem. II. Generic caustics up to codimension five
inferred← citeshttps://doi.org/10.1063/1.3204970openalex-snapshot
Geometry of universal magnification invariants
inferred← citeshttps://doi.org/10.1063/1.3271043openalex-snapshot
A universal magnification theorem. III. Caustics beyond codimension 5
inferred← citeshttps://doi.org/10.1063/1.3545578openalex-snapshot
Orbifolds, the A, D, E family of caustic singularities, and gravitational lensing
inferred← citeshttps://doi.org/10.1088/0004-637x/765/2/134openalex-snapshot
MULTIPOLE GRAVITATIONAL LENSING AND HIGH-ORDER PERTURBATIONS ON THE QUADRUPOLE LENS
inferred← citeshttps://doi.org/10.1088/1674-4527/18/7/80openalex-snapshot
The magnification invariant of circularly-symmetric lens models
inferred← citeshttps://doi.org/10.1088/2041-8205/770/2/l34openalex-snapshot
ANALYTICAL SOLUTIONS OF SINGULAR ISOTHERMAL QUADRUPOLE LENS
inferred← citeshttps://doi.org/10.1093/mnras/stad2978openalex-snapshot
Exotic image formation in strong gravitational lensing by clusters of galaxies – IV. Elliptical NFW lenses and hyperbolic umbilics
inferred← citeshttps://doi.org/10.1093/mnras/stv277openalex-snapshot
Cusp summations and cusp relations of simple quad lenses
inferred← citeshttps://doi.org/10.1103/physrevd.87.024024openalex-snapshot
Signed magnification sums for general spherical lenses
inferred← citeshttps://doi.org/10.1103/physreve.91.043019openalex-snapshot
Cusps and cuspidal edges at fluid interfaces: Existence and application
inferred← citeshttps://doi.org/10.1111/j.1365-2966.2009.14925.xopenalex-snapshot
An atlas of predicted exotic gravitational lenses
inferred← citeshttps://doi.org/10.3390/universe5070161openalex-snapshot
Magnification Cross Sections for the Elliptic Umbilic Caustic Surface
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