We present an argument that the statistics of polymer rings at the theta point in two dimensions is exactly given by the statistics of the external perimeter (``hull'') of a percolation cluster. As a consequence, the fractal dimension df(theta) of a polymer chain at the theta point coincides with that of the hull of the percolating cluster, df(theta)=dH. Here theta' is the coil-globule transition point for a special interaction parameter. We also discuss conditions under which the theta' point may be related to the conventional theta point.
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Coniglio et al. (1987) studied this question.
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