1210.8060 (Nils Haug et al.)

Combinatorics of lattice animals by simple group-theoretic approach    [PDF]

Nils Haug, Sergei Nechaev

Using the commutation relations in the locally free group we give a simple combinatoric derivation of the partition function of (1+1)-dimensional directed lattice animals with a fixed set of roots on a strip. Comparing our approach to the two-dimensional hard square model, we establish connections between the group-theoretic and the algebraic methods of the solution of some two-dimensional lattice spin systems.

View original: http://arxiv.org/abs/1210.8060