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Riemann-Hilbert Problems with Lots of Discrete Spectrum

Peter D. Miller
Department of Mathematics,
University of Michigan, Ann Arbor

This paper is dedicated to Percy Deift, from whom we have all learned so much, in honor of his 60th birthday.


We review some recent work on steepest-descent asymptotics for Riemann-Hilbert problems involving a large number of isolated singularities that accumulate in a reasonable fashion in the limit of interest.