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math-ph1998
Continuum Limits for Critical Percolation and Other Stochastic Geometric Models
Michael Aizenman
The talk presented at ICMP 97 focused on the scaling limits of critical percolation models, and some other systems whose salient features can be described by collections of random…
math.FA1998
Hölder Regularity and Dimension Bounds for Random Curves
Michael Aizenman, Almut Burchard
Random systems of curves exhibiting fluctuating features on arbitrarily small scales () are often encountered in critical models. For such systems it is shown that scale-invaria…