For Z_q clock models on regular trees, the A-localized Gibbs state at strong coupling is non-extremal and decomposes into uncountably many glassy states.
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A-localized states for clock models on trees and their extremal decomposition into glassy states
For Z_q clock models on regular trees, the A-localized Gibbs state at strong coupling is non-extremal and decomposes into uncountably many glassy states.