2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/27420The phase diagram of the two-dimensional extended q-states Potts model is investigated in the q->1 limit. This is equivalent to studying the phase diagram of a two-dimensional infinite interacting lattice animal. An exact solution on the Bethe lattice and a Migdal-Kadanoff renormalization group calculation predict a line of theta transitions from an extended to a compact phase in the lattice animal. We compare this with the phase diagram predicted from previous numerical studies.Invited talk given at the Seventh Nankai Workshop on Symmetry, Statistical Mechanics Models and Related Topics, 12-13 Aug. 1995, Nankai University, Tianjin, China. 8 pages, Latex, 3 uucompressed figues and file sprocl.styCondensed Mattertext