Entropic Repulsion and Lack of the g-Measure Property for Dyson Models
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DOI: 10.1007/s00220-018-3233-6
Abstract: We consider Dyson models, Ising models with slow polynomial decay, at low temperature and show that its Gibbs measures deep in the phase transition region are not g-measures. The main ingredient in the proof is… read more here.
Keywords: entropic repulsion; repulsion lack; dyson models; lack measure ... See more keywords
Entropic repulsion for the Gaussian free field conditioned on disconnection by level-sets
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DOI: 10.1007/s00440-019-00957-7
Abstract: We investigate level-set percolation of the discrete Gaussian free field on $${\mathbb {Z}}^d$$ Z d , $$d\ge 3$$ d ≥ 3 , in the strongly percolative regime. We consider the event that the level-set of… read more here.
Keywords: free field; harmonic potential; field; entropic repulsion ... See more keywords