Partial results on the convexity of the Parisi functional with PDE approach

DOI10.1090/S0002-9939-2015-12399-4zbMath1316.60143arXiv1308.6559MaRDI QIDQ5246940

Wei-Kuo Chen

Publication date: 22 April 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.6559

zbMATH Keywords

convexitySherrington-Kirkpatrick modelParisi functional

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (1)

A dynamic programming approach to the Parisi functional

Cites Work

• Unnamed Item
• Broken replica symmetry bounds in the mean field spin glass model
• Parisi measures
• A question about the Parisi functional
• The Parisi formula

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