Disagreement percolation for Gibbs ball models
نویسندگان
چکیده
منابع مشابه
Percolation and Gibbs states multiplicity for ferromagnetic Ashkin – Teller models
For a region of the nearest-neighbour ferromagnetic Ashkin–Teller spin systems on Z2, we characterize the existence of multiple Gibbs states via percolation. In particular, there are multiple Gibbs states if and only if there exists percolation of any of the spin types (i.e. the magnetized states are characterized by percolation of the dominant species). This result was previously known only fo...
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متن کاملPercolation and Gibbs states multiplicity for ferromagnetic Ashkin – Teller models on Z 2
For a region of the nearest-neighbour ferromagnetic Ashkin–Teller spin systems on Z2, we characterize the existence of multiple Gibbs states via percolation. In particular, there are multiple Gibbs states if and only if there exists percolation of any of the spin types (i.e. the magnetized states are characterized by percolation of the dominant species). This result was previously known only fo...
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Two different problems are studied: (1) For an infinite locally finite connected graph G, let pc(G) be the critical value for the existence of an infinite cluster in iid bond percolation on G and let Pc = sup{pc(G) : G transitive, pc(G) < 1}. Is Pc < 1? (2) Let G be transitive with pc(G) < 1, let p ∈ [0, 1] and let X and Y be iid bond percolations on G with retention parameters (1 + p)/2 and (1...
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ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 2019
ISSN: 0304-4149
DOI: 10.1016/j.spa.2018.11.003