A simple fluctuation lower bound for a disordered massless random continuous spin model in .
A symmetric entropy bound on the non-reconstruction regime of Markov chains on galton-watson trees.
The posterior metric and the goodness of gibbsianness for transforms of Gibbs measures.
Gibbs–non-Gibbs properties for evolving Ising models on trees
In this paper we study homogeneous Gibbs measures on a Cayley tree, subjected to an infinite-temperature Glauber evolution, and consider their (non-)Gibbsian properties. We show that the intermediate Gibbs state (which in zero field is the free-boundary-condition Gibbs state) behaves differently from the plus and the minus state. E.g. at large times, all configurations are bad for the intermediate state, whereas the plus configuration never is bad for the plus state. Moreover, we show that for each...
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