Perimeter Generating Functions For The Mean-Squared Radius Of Gyration Of Convex Polygons

Abstract

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 $\nu =1$.

8 pages, 1 figure

References in corpus (2)

• Self-avoiding polygons on the square lattice
• Size and area of square lattice polygons