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SUMMARY:Mining Perturbation Theory: Resurgence-Inspired Extrapolation and 
 Analytic Continuation - Gerald Dunne (University of Connecticut)
DTSTART:20220927T140000Z
DTEND:20220927T160000Z
UID:TALK180488@talks.cam.ac.uk
DESCRIPTION:What is the best way to extract information from a finite amou
 nt of perturbative information? This is a common problem in applications. 
 We may only be able to compute a (small) finite number of coefficients of 
 an expansion of a function about some special parameter point\, and we wis
 h to learn about the behaviour near another point (possibly very distant).
  I will discuss some recent work with Ovidiu Costin using resurgence ideas
  to address the mathematical question of optimal and near-optimal methods 
 of analytic continuation\, and I will illustrate with several applications
  in quantum field theory.
LOCATION:Seminar Room 2\, Newton Institute
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