1988/01/07 by Michael Berry · 114 citations
Physics and Astronomy · Chemistry · Mathematics · #Orbital Angular Momentum in Optics #Electrostatics and Colloid Interactions #Scientific Research and Discoveries #Codimension #Discontinuity (linguistics) #Phenomenon #Classification of discontinuities #Smoothing #Mathematics #Space (punctuation) #Mathematical analysis #Exponential function #Pure mathematics #Physics #Computer science #Statistics #Quantum mechanics
paper · doi:10.1007/bf02698550
published in Publications mathématiques de l IHÉS 68, 211-221 (Springer Nature)
openalex publication_date 1988/01/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/23
Small exponentials in asymptotic representations of functionsy(k; X) (k → ∞) can appear and disappear across sets of codimension 1 in the space of variables X. These changes are not discontinuous but happen smoothly and according to a universal law.