亚稳系统的耦合点态估计和指数律
Pointwise estimates and exponential laws in metastable systems via coupling methods
摘要:
我们展示了如何耦合技术可以在一些亚稳系统中使用,以证明平均亚稳退出时间几乎是恒定的功能的启动微观配置内的“Meta-独立集。“在随机场Curie Weiss模型的例子中,我们证明了这些思想也可以用来证明归一化亚稳态逃逸时间的渐近指数性。
英文摘要:
We show how coupling techniques can be used in some metastable systems to prove that mean metastable exit times are almost constant as functions of the starting microscopic configuration within a "meta-stable set." In the example of the Random Field Curie Weiss model, we show that these ideas can also be used to prove asymptotic exponentiallity of normalized metastable escape times.
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