Perimeter Generating Functions For The Mean-Squared Radius Of Gyration Of Convex Polygons
classification
❄️ cond-mat.stat-mech
keywords
functionsgeneratinggyrationperimeterpolygonsradiusseriesalgebraic
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We have derived long series expansions for the perimeter generating functions of the radius of gyration of various polygons with a convexity constraint. Using the series we numerically find simple (algebraic) exact solutions for the generating functions. In all cases the size exponent $\nu=1$.
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