The \(\ell^p\)-Gaussian-Grothendieck problem with vector spins
From MaRDI portal
Publication:2149938
DOI10.1214/22-EJP801zbMath1490.82020arXiv2112.05709MaRDI QIDQ2149938
Publication date: 27 June 2022
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.05709
Gaussian processes (60G15) 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)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Variational representations for the Parisi functional and the two-dimensional Guerra-Talagrand bound
- Parisi formula for the ground state energy in the mixed \(p\)-spin model
- Free energy in the Potts spin Glass
- Free energy in the mixed \(p\)-spin models with vector spins
- The thermodynamic limit in mean field spin glass models
- On maximization of quadratic form over intersection of ellipsoids with common center
- Free energy of multiple systems of spherical spin glasses with constrained overlaps
- The Parisi formula has a unique minimizer
- The sizes of compact subsets of Hilbert space and continuity of Gaussian processes
- Brownian Motion, Martingales, and Stochastic Calculus
- A dynamic programming approach to the Parisi functional
- Grothendieck-Type Inequalities in Combinatorial Optimization
- The UGC Hardness Threshold of the Lp Grothendieck Problem
- An Introduction to Random Matrices
- General properties of overlap probability distributions in disordered spin systems. Towards Parisi ultrametricity
- High-Dimensional Probability
- The Sherrington-Kirkpatrick Model
- Bypassing UGC from Some Optimal Geometric Inapproximability Results
- Maxima for Graphs and a New Proof of a Theorem of Turán
- Upper and Lower Bounds for Stochastic Processes
- Approximating the Cut-Norm via Grothendieck's Inequality
- Convex Analysis
- FREE ENERGY IN THE GENERALIZED SHERRINGTON–KIRKPATRICK MEAN FIELD MODEL
- Mean Field Models for Spin Glasses
- The free energy in a multi-species Sherrington-Kirkpatrick model
This page was built for publication: The \(\ell^p\)-Gaussian-Grothendieck problem with vector spins