The Enumeration of Prudent Polygons by Area and its Unusual Asymptotics

Nicholas R. Beaton, Philippe Flajolet, Anthony J. Guttmann

Prudent walks are special self-avoiding walks that never take a step towards an already occupied site, and \emph{$k$-sided prudent walks} (with $k=1,2,3,4$) are, in essence, only a…