The full replica symmetry breaking in the Ising spin glass on random regular graph
From MaRDI portal
Publication:1756788
DOI10.1007/s10955-018-2142-6zbMath1405.82035arXiv1712.00367OpenAlexW2771624426MaRDI QIDQ1756788
Publication date: 21 December 2018
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.00367
Random graphs (graph-theoretic aspects) (05C80) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Symmetry breaking in quantum theory (81R40) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Structure of finite-RSB asymptotic Gibbs measures in the diluted spin glass models
- Spin glass models from the point of view of spin distributions
- A hierarchical version of the de Finetti and Aldous-Hoover representations
- Ghirlanda-Guerra identities and ultrametricity: an elementary proof in the discrete case
- Spin glass computations and Ruelle's probability cascades
- On exchangeable random variables and the statistics of large graphs and hypergraphs
- A variational representation for certain functionals of Brownian motion
- A mathematical reformulation of Derrida's REM and GREM
- Replica bounds for optimization problems and diluted spin systems
- Broken replica symmetry bounds in the mean field spin glass model
- The cavity method at zero temperature
- Functional Itō calculus and stochastic integral representation of martingales
- The Parisi ultrametricity conjecture
- The Parisi formula has a unique minimizer
- Hierarchical exchangeability of pure states in mean field spin glass models
- Stochastic calculus of variations in mathematical finance.
- The marginally stable Bethe lattice spin glass revisited
- The Parisi formula
- Transformations of Wiener integrals under translations
- Analysis of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>∞</mml:mi></mml:math>-replica symmetry breaking solution of the Sherrington-Kirkpatrick model
- Random-energy model: An exactly solvable model of disordered systems
- On Transforming a Certain Class of Stochastic Processes by Absolutely Continuous Substitution of Measures
- Information, Physics, and Computation
- General properties of overlap probability distributions in disordered spin systems. Towards Parisi ultrametricity
- Statistical Physics of Spin Glasses and Information Processing
- The Representation of Functionals of Brownian Motion by Stochastic Integrals
- Replica bounds for diluted non-Poissonian spin systems
- Stochastic integral
