The positivity conjecture for constrictions
The positivity conjecture for constrictions
A constriction is called positive when a punctured vertical neighborhood of it lies entirely in the interior of a phase-lock area. Consider constrictions in the first quadrant
For the corresponding transition matrix , let and be the two triangular terms referred to in the source.
The positivity conjecture. Every constriction is positive.
The paper proves that the relevant ratio is real and gives a criterion implying positivity when , but the universal positivity assertion is not resolved in the supplied text.
Sources & referencesView supporting material
Primary source
Alexey Glutsyuk, “On constrictions of phase-lock areas in model of overdamped Josephson effect and transition matrix of double confluent Heun equation”, arXiv:1805.02624 (2018).
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