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- W4285762561 abstract "We provide an existence theory for gradient Gibbs measures for Z-valued spin models on regular trees which are not invariant under translations of the tree, assuming only summability of the transfer operator. The gradient states we obtain are delocalized. The construction we provide for them starts from a two-layer hidden Markov model representation in a setup which is not invariant under tree-automorphisms, involving internal q-spin models. The proofs of existence and lack of translation invariance of infinite-volume gradient states are based on properties of the local pseudo-unstable manifold of the corresponding discrete dynamical systems of these internal models, around the free state, at large q." @default.
- W4285762561 created "2022-07-19" @default.
- W4285762561 creator A5054886063 @default.
- W4285762561 creator A5090842344 @default.
- W4285762561 date "2021-02-23" @default.
- W4285762561 modified "2023-10-16" @default.
- W4285762561 title "Existence of gradient Gibbs measures on regular trees which are not translation invariant" @default.
- W4285762561 doi "https://doi.org/10.48550/arxiv.2102.11899" @default.
- W4285762561 hasPublicationYear "2021" @default.
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