Triviality of the geometry of mixed \(p\)-spin spherical Hamiltonians with external field
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Publication:2067197
DOI10.1007/s10955-021-02855-6zbMath1489.82083arXiv2104.06345OpenAlexW3153758601WikidataQ114225318 ScholiaQ114225318MaRDI QIDQ2067197
Shuta Nakajima, David Belius, Marius A. Schmidt, Jiří Černý
Publication date: 17 January 2022
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.06345
Random fields (60G60) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Critical phenomena in equilibrium statistical mechanics (82B27)
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Cites Work
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- Parisi formula, disorder chaos and fluctuation for the ground state energy in the spherical 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
- Topology trivialization and large deviations for the minimum in the simplest random optimization
- TAP free energy, spin glasses and variational inference
- Complexity of random smooth functions on the high-dimensional sphere
- Positive definite functions on spheres
- Complexity of Random Energy Landscapes, Glass Transition, and Absolute Value of the Spectral Determinant of Random Matrices
- Spectral density asymptotics for Gaussian and Laguerre β-ensembles in the exponentially small region
- An Introduction to Random Matrices
- Hessian spectrum at the global minimum of high-dimensional random landscapes
- Random Matrices and Complexity of Spin Glasses
- Geometry and Temperature Chaos in Mixed Spherical Spin Glasses at Low Temperature: The Perturbative Regime
- The Landscape of the Spiked Tensor Model
- Random Fields and Geometry
- Universality in Random Matrix Theory for orthogonal and symplectic ensembles
- Aging of spherical spin glasses