Ising model on trees and factors of IID

Danny Nam
Danny Nam
Lingfu Zhang
Lingfu Zhang
Cited by: 0|Bibtex|Views1
Other Links: arxiv.org

Abstract:

We study the ferromagnetic Ising model on the infinite $d$-regular tree under the free boundary condition. This model is known to be a factor of IID in the uniqueness regime, when the inverse temperature $\beta\ge 0$ satisfies $\tanh \beta \le (d-1)^{-1}$. However, in the reconstruction regime ($\tanh \beta > (d-1)^{-\frac{1}{2}}$), it ...More

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