
Expansions of physical functions are controlled by their singularities, which have special structure because they themselves are physical, corresponding to instantons, caustics or saddle configurations. Resurgent asymptotics formalizes this idea mathematically, and leads to significantly more powerful extrapolation methods to extract physical information from a finite number of terms of an expansion, including precise decoding of non-perturbative effects.
11 pages, 8 figures
High Energy Physics - Theory, Extrapolation to the limit, deferred corrections, Physics, QC1-999, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Perturbation theories for operators and differential equations in quantum theory, FOS: Physical sciences, Mathematical Physics (math-ph), Perturbative methods of renormalization applied to problems in quantum field theory, Condensed Matter - Other Condensed Matter, High Energy Physics - Theory (hep-th), Mathematical Physics, Other Condensed Matter (cond-mat.other)
High Energy Physics - Theory, Extrapolation to the limit, deferred corrections, Physics, QC1-999, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Perturbation theories for operators and differential equations in quantum theory, FOS: Physical sciences, Mathematical Physics (math-ph), Perturbative methods of renormalization applied to problems in quantum field theory, Condensed Matter - Other Condensed Matter, High Energy Physics - Theory (hep-th), Mathematical Physics, Other Condensed Matter (cond-mat.other)
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