A Positive Corner Limit for Inverse Half-Powers of Vámos Quartics
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Abstract
For each fixed parameter 0<λ≤64/27, we determine an anisotropic corner limit of the inverse Laplace distribution of a stable Vámos quartic raised to the power -1/2. The limit is an explicit positive density with arcsine slope sections. Convergence holds jointly in all scaled variables, including the variable in which the exact partial inverse has a logarithmic singularity. The proof uses a modified Bessel partial inverse, differentiation to remove logarithmic counterterms, and quantitative bounds for inversion on growing frequency regions. We also determine the first correction in the same joint distribution topology. The result assumes no positivity of the full inverse distribution.
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