130 citations · 2k across the 94 of their papers we have counts for
5 papers · 1 filter
Critical behaviour of the two-dimensional Ising susceptibility
W. P. Orrick, B. G. Nickel, A. J. Guttmann +1
We report computations of the short-distance and the long-distance (scaling) contributions to the square-lattice Ising susceptibility in zero field close to T_c. Both computations…
Statistics of lattice animals (polyominoes) and polygons
Iwan Jensen, Anthony J Guttmann
We have developed an improved algorithm that allows us to enumerate the number of site animals (polyominoes) on the square lattice up to size 46. Analysis of the resulting series y…
Vicious walkers, friendly walkers and Young tableaux II: With a wall
Christian Krattenthaler, Anthony J. Guttmann, Xavier G. Viennot
We derive new results for the number of star and watermelon configurations of vicious walkers in the presence of an impenetrable wall by showing that these follow from standard res…
Critical exponents of plane meanders
Iwan Jensen, Anthony J Guttmann
Meanders form a set of combinatorial problems concerned with the enumeration of self-avoiding loops crossing a line through a given number of points, . Meanders are considered d…
Punctured polygons and polyominoes on the square lattice
Anthony J Guttmann, Iwan Jensen, Ling Heng Wong +1
We use the finite lattice method to count the number of punctured staircase and self-avoiding polygons with up to three holes on the square lattice. New or radically extended serie…