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math.AP2026
Stationary phase with Cauchy singularity. A critical point of signature
Christian Klein, Johannes Sjöstrand, Maher Zerzeri
Asymptotic expressions for an integral appearing in the solution of a d-bar problem are presented. The integral is a solid Cauchy transform of a function with a rapidly oscillating…
math.AP2025
Counter-examples to the fractal Weyl law for semiclassical resonances
Jean-Francois Bony, Setsuro Fujiie, Thierry Ramond +1
Under general assumptions, the numbers of semiclassical resonances is known to be bounded from above by a negative power of which is given by the fractal dimension of the trapp…