某些混合p自旋模型的混沌研究
An approach to chaos in some mixed p-spin models
摘要:
本文研究了混合p自旋模型的耦合副本在无序和温度下的混沌问题。在一定的假设下的参数的模型,我们将首先证明一个弱形式的混沌显示,重叠是集中在其吉布斯平均取决于无序,然后获得几个结果走向强混沌提供控制的重叠两个系统之间的Parisi措施。
英文摘要:
We consider the problems of chaos in disorder and temperature for coupled copies of the mixed p-spin models. Under certain assumptions on the parameters of the models we will first prove a weak form of chaos by showing that the overlap is concentrated around its Gibbs average depending on the disorder and then obtain several results toward strong chaos by providing control of the overlap between two systems in terms of their Parisi measures.
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