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We present Monte Carlo simulations of the spanning-forest model (q \to 0limit of the ferromagnetic Potts model) in spatial dimensions d=3,4,5. We showthat, in contrast to the two-dimensional case, the model has a "ferromagnetic"second-order phase transition at a finite positive value w_c. We presentnumerical estimates of w_c and of the thermal and magnetic critical exponents.We conjecture that the upper critical dimension is 6.Comment: LaTex2e, 4 pages; includes 6 Postscript figures; Version 2 has  expanded title as published in PR

physical review letters

Ferromagnetic Phase Transition for the Spanning-Forest Model (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>q</mml:mi><mml:mo>→</mml:mo><mml:mn>0</mml:mn></mml:math>Limit of the Potts Model) in Three or More Dimensions

Ferromagnetic Phase Transition for the Spanning-Forest Model (q→0Limit of the Potts Model) in Three or More Dimensions