Michael Aizenman is an American mathematician and physicist, known for his contributions to mathematical physics, particularly in the areas of statistical mechanics and quantum field theory. He has made significant advancements in the understanding of phase transitions, disordered systems, and random matrices. Aizenman has held academic positions at various institutions, including Princeton University, where he has been a professor. His work often involves rigorous mathematical analysis of complex systems, and he is recognized for his contributions to the mathematical foundation of physics.
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Michael Aizenman coauthored tree-diagram inequalities for percolation with Charles M. Newman. Their work controls multipoint connectivity and gives a condition for the percolation susceptibility exponent to take its mean-field value. The method relates large-scale critical behavior to convergence properties of diagrams built from pairwise connection probabilities.[ref]