Nov 29, 2009 · Abstract: Gibbs distribution of binary Markov random fields on a sparse on average graph is considered in this paper. The strong spatial ...

PDF | Gibbs distribution of binary Markov random fields on a sparse on average graph is considered in this paper. The strong spatial mixing is proved.

Introduction. Strong spatial mixing property of Gibbs measures is very important in statistical physics. It roughly says that if there is a modification (or ...

Gibbs distribution of binary Markov random fields on a sparse on average graph is considered in this paper. The strong spatial mixing is proved under the ...

We prove Gibbs distribution of two-state spin systems(also known as binary Markov random fields) without hard constrains on a tree exhibits strong spatial ...

If a Markov random field satisfies strong spatial mixing with rate function ρ, then it satisfies ratio strong spatial mixing with rate function ρ∗. PROOF ...

Nov 29, 2009 · 本文考虑了稀疏平均图上二进制马尔可夫随机场的吉布斯分布。在“外场”大小一致的情况下，证明了强烈的空间混合。这种“外场”条件在物理学上是有意义的。

In summary, the approach of using an MRF on a fine grid provides an aggregation-consistent model for point or areal data (or a mix of both) and is a strategy ...

It is not clear at all whether spatial mixing or correlation decay plays any role in the computational complexity. For more general ferromagnetic 2-spin systems ...

We consider proper 5-colourings of the kagome lattice. Proper q-colourings correspond to configurations in the zero-temperature q-state anti-ferromagnetic ...