2-Parameter $$\tau $$-Function for the First Painlevé Equation: Topological Recursion and Direct Monodromy Problem via Exact WKB Analysis
Kohei Iwaki
Topics & Concepts
WKB approximationMonodromyRecursion (computer science)MathematicsPartition function (quantum field theory)ComputationPure mathematicsMorse theoryPartition (number theory)Topology (electrical circuits)Fourier transformGenerating functionMonodromy matrixMathematical analysisElliptic functionFunction (biology)Fourier analysisGeodesicToda latticeTheta functionComplex systemPartition of unityQuantum Mechanics and Non-Hermitian PhysicsNonlinear Waves and SolitonsAlgebraic and Geometric Analysis