A proposed "South-East rule" reads the directions of edges in a Borel-plane adjacency graph of critical values to decide, without steepest-descent flow computations, which complex and real saddles contribute to multidimensional oscillatory integrals.
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Which Saddles Contribute? The South-East Rule for Multidimensional Integrals
A proposed "South-East rule" reads the directions of edges in a Borel-plane adjacency graph of critical values to decide, without steepest-descent flow computations, which complex and real saddles contribute to multidimensional oscillatory integrals.