The triangular-term sign conjecture for constrictions

Let (B,A)R0×R+(B,A)\in\mathbb R_{\geq0}\times\mathbb R_+ be a constriction, and let bb and cc denote the two triangular terms in the corresponding transition matrix QQ.

The triangular-term sign conjecture. The ratio of these triangular terms is negative, in the source's notation meaning

cb>0.\frac{c}{b}>0.

The source first establishes that the ratio is real and then states this sign condition as a conjecture. A subsequent proposition gives positivity of a constriction under this condition, but the universal sign assertion remains open 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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