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Resurgent functions and splitting problems

2 Pith papers cite this work. Polarity classification is still indexing.

2 Pith papers citing it
abstract

The present text is an introduction to \'Ecalle's theory of resurgent functions and alien calculus, in connection with problems of exponentially small separatrix splitting. An outline of the resurgent treatment of Abel's equation for resonant dynamics in one complex variable is included. The emphasis is on examples of nonlinear difference equations, as a simple and natural way of introducing the concepts.

fields

hep-th 2

years

2026 2

verdicts

UNVERDICTED 2

representative citing papers

Modular resurgence of topological string

hep-th · 2026-07-01 · unverdicted · novelty 5.0

Stokes constants of topological string non-perturbative contributions are invariant on monodromy orbits, reproduce the BPS spectrum, and satisfy the Kontsevich-Soibelman Lie algebra.

The Double Well Done Doubly-Well

hep-th · 2026-06-03 · unverdicted · novelty 3.0

Presents explicit trans-series calculations for the double-well spectrum via exact WKB and path integral approaches up to four-instanton level.

citing papers explorer

Showing 2 of 2 citing papers.

  • Modular resurgence of topological string hep-th · 2026-07-01 · unverdicted · none · ref 56 · internal anchor

    Stokes constants of topological string non-perturbative contributions are invariant on monodromy orbits, reproduce the BPS spectrum, and satisfy the Kontsevich-Soibelman Lie algebra.

  • The Double Well Done Doubly-Well hep-th · 2026-06-03 · unverdicted · none · ref 20 · internal anchor

    Presents explicit trans-series calculations for the double-well spectrum via exact WKB and path integral approaches up to four-instanton level.