Ultrametricity in spin glasses
From MaRDI portal
Publication:6118126
DOI10.4171/icm2022/69OpenAlexW4389775391MaRDI QIDQ6118126
Publication date: 20 March 2024
Published in: International Congress of Mathematicians (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/icm2022/69
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Structure of finite-RSB asymptotic Gibbs measures in the diluted spin glass models
- The Aizenman-Sims-Starr scheme and Parisi formula for mixed \(p\)-spin spherical models
- An iterative construction of solutions of the TAP equations for the Sherrington-Kirkpatrick model
- Fluctuations of the free energy of the spherical Sherrington-Kirkpatrick model
- Chaos in temperature in generic \(2p\)-spin models
- Parisi formula, disorder chaos and fluctuation for the ground state energy in the spherical mixed \(p\)-spin models
- Some properties of the phase diagram for mixed \(p\)-spin glasses
- Low temperature asymptotics of spherical mean field spin glasses
- Ghirlanda-Guerra identities and ultrametricity: an elementary proof in the discrete case
- Parisi formula for the ground state energy in the mixed \(p\)-spin model
- Random recursive trees and the Bolthausen-Sznitman coalescent
- Free energy of the spherical mean field model
- Large deviations, Guerra's and A.S.S. Schemes, and the Parisi hypothesis
- The asymptotic \(k\)-SAT threshold
- On Ruelle's probability cascades and an abstract cavity method
- Derrida's generalised random energy models. I: Models with finitely many hierarchies
- On the energy landscape of the mixed even \(p\)-spin model
- Disorder chaos in some diluted spin Glass models
- MAX \(\kappa\)-cut and the inhomogeneous Potts spin Glass
- Spectral gap estimates in mean field spin glasses
- On the TAP free energy in the mixed \(p\)-spin models
- The geometry of the Gibbs measure of pure spherical spin glasses
- The complexity of spherical \(p\)-spin models: a second moment approach
- On spin distributions for generic \(p\)-spin models
- Free energy in the Potts spin Glass
- Free energy in the mixed \(p\)-spin models with vector spins
- Ferromagnetic to paramagnetic transition in spherical spin glass
- On the stability of the quenched state in mean-field spin-glass models
- A mathematical reformulation of Derrida's REM and GREM
- The thermodynamic limit in mean field spin glass models
- Broken replica symmetry bounds in the mean field spin glass model
- The Parisi ultrametricity conjecture
- Free energy of bipartite spherical Sherrington-Kirkpatrick model
- Spherical spin glass model with external field
- Universality of approximate message passing algorithms
- Extending the Parisi formula along a Hamilton-Jacobi equation
- Free energy of multiple systems of spherical spin glasses with constrained overlaps
- Average Gromov hyperbolicity and the Parisi ansatz
- The generalized TAP free energy. II
- Chaos in the mixed even-spin models
- Structure of 1-RSB asymptotic Gibbs measures in the diluted \(p\)-spin models
- Multi-species mean field spin glasses. Rigorous results
- A connection between the Ghirlanda-Guerra identities and ultrametricity
- The Ghirlanda-Guerra identities for mixed \(p\)-spin model
- On the structure of quasi-stationary competing particle systems
- Existence of two-step replica symmetry breaking for the spherical mixed \(p\)-spin glass at zero temperature
- Thouless-Anderson-Palmer equations for generic \(p\)-spin glasses
- Phase transition in the spiked random tensor with Rademacher prior
- The Parisi formula has a unique minimizer
- Hierarchical exchangeability of pure states in mean field spin glass models
- On properties of Parisi measures
- The extremal process of critical points of the pure \(p\)-spin spherical spin Glass model
- Parisi measures
- The TAP-Plefka variational principle for the spherical SK model
- A multi-scale spin-glass mean-field model
- Complexity of random smooth functions on the high-dimensional sphere
- The Parisi formula for mixed \(p\)-spin models
- The Parisi formula
- Spin-glass stochastic stability: a rigorous proof
- Temperature chaos in some spherical mixed \(p\)-spin models
- A simple approach to chaos for \(p\)-spin models
- Replica symmetry breaking and the nature of the spin glass phase
- A dynamic programming approach to the Parisi functional
- Notes on the p-spin glass studied via Hamilton-Jacobi and smooth-cavity techniques
- Superconcentration and Related Topics
- Proof of the Satisfiability Conjecture for Large k
- Approximate Ultrametricity for Random Measures and Applications to Spin Glasses
- ABOUT THE OVERLAP DISTRIBUTION IN MEAN FIELD SPIN GLASS MODELS
- On concentration properties of disordered Hamiltonians
- Random-energy model: An exactly solvable model of disordered systems
- Replica symmetry breaking in mean-field spin glasses through the Hamilton–Jacobi technique
- General properties of overlap probability distributions in disordered spin systems. Towards Parisi ultrametricity
- The Sherrington-Kirkpatrick Model
- Random Matrices and Complexity of Spin Glasses
- The SK Model Is Infinite Step Replica Symmetry Breaking at Zero Temperature
- Free energy of the quantum Sherrington–Kirkpatrick spin-glass model with transverse field
- Optimization of the Sherrington--Kirkpatrick Hamiltonian
- Going after the k-SAT threshold
- Mean Field Models for Spin Glasses
- The free energy in a multi-species Sherrington-Kirkpatrick model