期刊
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
卷 73, 期 8, 页码 1732-1828出版社
WILEY
DOI: 10.1002/cpa.21875
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资金
- Simons Foundation
- European Research Council (ERC) under the European Union [692452]
- U.S.-Israel BSF grant
- European Research Council (ERC) [692452] Funding Source: European Research Council (ERC)
We study the Gibbs measure of mixed spherical p-spin glass models at low temperature, in (part of) the 1-RSB regime, including, in particular, models close to pure in an appropriate sense. We show that the Gibbs measure concentrates on spherical bands around deep critical points of the (extended) Hamiltonian restricted to the sphere of radius N rho*, where rho*2 is the rightmost point in the support of the overlap distribution. We also show that the relevant critical points are pairwise orthogonal for two different low temperatures. This allows us to explain why temperature chaos occurs for those models, in contrast to the pure spherical models. (c) 2019 Wiley Periodicals, Inc.
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