A natural normalization makes the Evans function magnitude a lower bound on spectral distance, so non-zero values certify a disk in the resolvent set.
Electrical waves in a one-dimensional model of cardiac tissue.SIAM Journal on Applied Dynamical Systems, 7(4):1558–1581
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The Evans function as a lower bound on the spectral distance function
A natural normalization makes the Evans function magnitude a lower bound on spectral distance, so non-zero values certify a disk in the resolvent set.