A dynamic programming approach to the Parisi functional
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Publication:2802130
DOI10.1090/proc/12968zbMath1376.60081arXiv1502.04398OpenAlexW2245145033MaRDI QIDQ2802130
Publication date: 25 April 2016
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1502.04398
Applications of optimal control and differential games (49N90) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30)
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Cites Work
- The Aizenman-Sims-Starr and Guerra's schemes for the SK model with multidimensional spins
- Partial differential equations. 4th ed
- Exit probabilities and optimal stochastic control
- A variational representation for certain functionals of Brownian motion
- The Parisi formula has a unique minimizer
- On properties of Parisi measures
- Parisi measures
- A question about the Parisi functional
- The Parisi formula for mixed \(p\)-spin models
- The Parisi formula
- Multidimensional diffusion processes.
- The Sherrington-Kirkpatrick Model
- Partial results on the convexity of the Parisi functional with PDE approach
- Mean Field Models for Spin Glasses
- Mean Field Models for Spin Glasses
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