Fluctuations of the Magnetization for Ising Models on Dense ErdősRényi Random Graphs
Abstract
We analyze Ising/CurieWeiss models on the (directed) ErdősRényi random graph on N vertices in which every edge is present with probability p. These models were introduced by Bovier and Gayrard (J Stat Phys 72(34):643664, 1993). We prove a quenched Central Limit Theorem for the magnetization in the hightemperature regime β <1 when p=p(N) satisfies p^3N^2→ + ∞.
 Publication:

Journal of Statistical Physics
 Pub Date:
 October 2019
 DOI:
 10.1007/s10955019023585
 Bibcode:
 2019JSP...177...78K