An approach to chaos in some mixed p-spin models

Details An approach to chaos in some mixed p-spin models An approach to chaos in some mixed p-spin models

2012-01-10

arxiv.org/abs/1201.2198v1

Mathematics

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14 pages

Scientific paper

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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