Lecture 2: Exercises

semanticscholar(2020)

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摘要
We recall the mean-field Curie-Weiss (CW) model and the notation you saw in Lecture 2 (we refer to Bovier and den Hollander [1, Section 13] for more details). Let [N ] = {1, ..., N}, N ∈ N, be the set of vertices and σ = {σi : i ∈ [N ]} ∈ SN the spin configuration, with SN = {−1,+1} the state space. The Hamiltonian of the CW model depends on σ only through the empirical magnetisation m : SN → ΓN , defined as
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