On the uniqueness of Gibbs distributions with a non-negative and subcritical pair potential
On the uniqueness of Gibbs distributions with a non-negative and subcritical pair potential
复制标题
具有非负亚临界对势的吉布斯分布的唯一性
DOI：
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发表时间：
2021
影响因子：
1.5
通讯作者：
G. Last
中科院分区：
文献类型：
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作者：
Steffen Betsch;G. Last
我们证明了只要泊松驱动随机连接模型（RCM）不渗透，具有非负对势的Gibbs过程的分布是唯一确定的。我们的证明结合了连续体中的不一致耦合与吉布斯过程和RCM的耦合。从理论和仿真两方面说明了该方法对以往唯一性结果的改进。
We prove that the distribution of a Gibbs process with non-negative pair potential is uniquely determined as soon as an associated Poisson-driven random connection model (RCM) does not percolate. Our proof combines disagreement coupling in continuum with a coupling of a Gibbs process and a RCM. The improvement over previous uniqueness results is illustrated both in theory and simulations.
影响因子：
2.4
作者：
Michelen, Marcus;Perkins, Will
通讯作者：
Perkins, Will
GIBBS 点过程的集群扩展
影响因子：
1.2
作者：
Sabine Jansen
通讯作者：
Sabine Jansen