2 problems

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Scaling-function conjecture for punctured staircase polygons
Let $r\ge1$ be the number of punctures and let $s\ge2$ denote the relevant perimeter parameter for punctured staircase polygons. Let $F^{(r,s)}(z)$ be their area amplitude series,…
Conjectureopenpolygon-models scaling-functions staircase-polygonsarXiv posted 2 days ago
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The conjecture for the leading asymptotic amplitude of three-choice polygons
The leading-amplitude conjecture. The leading logarithmic amplitude is
Conjectureopenasymptotic-combinatorics generating-functions polygon-modelsarXiv posted 2 days ago

Scaling-function conjecture for punctured staircase polygons