We derive the dominant asymptotic form and the order of the correction terms of the finite-perimeter partition function of self-avoiding polygons on the square lattice, which are weighted according to their area A as qA, in the inflated regime, q >1. The approach q--> 1+ of the asymptotic form is examined.
Communications in Mathematical Physics
- Pub Date:
- Condensed Matter - Statistical Mechanics;
- Mathematical Physics;
- Mathematics - Combinatorics
- accepted for publication in Communications in Mathematical Physics