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math-ph2011★ 6 cited
Renormalization Group Transformations Near the Critical Point: Some Rigorous Results
Mei Yin
We consider renormalization group (RG) transformations for classical Ising-type lattice spin systems in the infinite volume limit. Formally, the RG maps a Hamiltonian H into a reno…
math.PR2011★ 48 cited
Phase transitions in exponential random graphs
Charles Radin, Mei Yin
We derive the full phase diagram for a large family of two-parameter exponential random graph models, each containing a first order transition curve ending in a critical point.