Topology trivialization transition in random non-gradient autonomous ODEs on a sphere
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Publication:3302511
DOI10.1088/1742-5468/aa511azbMath1456.82913arXiv1610.04831OpenAlexW3101474306MaRDI QIDQ3302511
Publication date: 11 August 2020
Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.04831
Random matrices (probabilistic aspects) (60B20) Random operators and equations (aspects of stochastic analysis) (60H25) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Ordinary differential equations and systems on manifolds (34C40)
Related Items (8)
Sharp complexity asymptotics and topological trivialization for the (p, k) spiked tensor model ⋮ Optimization landscape in the simplest constrained random least-square problem ⋮ Counting equilibria in a random non-gradient dynamics with heterogeneous relaxation rates ⋮ Quenched complexity of equilibria for asymmetric generalized Lotka–Volterra equations ⋮ Hessian spectrum at the global minimum of high-dimensional random landscapes ⋮ Kac–Rice fixed point analysis for single- and multi-layered complex systems ⋮ Manifolds pinned by a high-dimensional random landscape: Hessian at the global energy minimum ⋮ Quenched dynamics of classical isolated systems: the spherical spin model with two-body random interactions or the Neumann integrable model
Cites Work
- Unnamed Item
- Legendre duality of spherical and Gaussian spin glasses
- Fluctuations of the free energy of the spherical Sherrington-Kirkpatrick model
- Disorder chaos in the spherical mean-field model
- Emergence of a complex and stable network in a model ecosystem with extinction and mutation
- Free energy of the spherical mean field model
- Random catalytic reaction networks
- Topology trivialization and large deviations for the minimum in the simplest random optimization
- Complexity of random smooth functions on the high-dimensional sphere
- Coexistence and chaos in complex ecologies
- Replica symmetry breaking condition exposed by random matrix calculation of landscape complexity
- Matrix optimization under random external fields
- Complexity of Random Energy Landscapes, Glass Transition, and Absolute Value of the Spectral Determinant of Random Matrices
- Nonlinear analogue of the May−Wigner instability transition
- On the dynamics of a spherical spin-glass in a magnetic field
- Full dynamical solution for a spherical spin-glass model
- Large time zero temperature dynamics of the spherical p = 2-spin glass model of finite size
- Skew orthogonal polynomials and the partly symmetric real Ginibre ensemble
- Level Sets and Extrema of Random Processes and Fields
- How Many Eigenvalues of a Random Matrix are Real?
- Random Matrices and Complexity of Spin Glasses
- Complex dynamics in learning complicated games
- Aging of spherical spin glasses
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