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- W4299502639 abstract "We develop a new robust technique to deduce variance principles for non-integrable discrete systems. To illustrate this technique, we show the existence of a variational principle for graph homomorphisms from $Z^m$ to a $d$-regular tree. This seems to be the first non-trivial example of a variational principle in a non-integrable model. Instead of relying on integrability, the technique is based on a discrete Kirszbraun theorem and a concentration inequality obtained through the dynamic of the model. As a consequence of this result, we obtain the existence of a continuum of shift-invariant ergodic gradient Gibbs measures for graph homomorphisms from $Z^m$ to a regular tree." @default.
- W4299502639 created "2022-10-02" @default.
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- W4299502639 date "2016-10-25" @default.
- W4299502639 modified "2023-09-30" @default.
- W4299502639 title "A variational principle for a non-integrable model" @default.
- W4299502639 doi "https://doi.org/10.48550/arxiv.1610.08103" @default.
- W4299502639 hasPublicationYear "2016" @default.
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