Quenched complexity of equilibria for asymmetric generalized Lotka–Volterra equations
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Publication:6116371
DOI10.1088/1751-8121/ace00fzbMath1529.92053arXiv2304.05284MaRDI QIDQ6116371
Unnamed Author, Guy Bunin, Giulio Biroli, Valentina Ros
Publication date: 18 July 2023
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2304.05284
multiple equilibriaasymmetrictheoretical ecologyKac-Rice formalismnon-reciprocal interactionsquenched disorder and replicas
Cites Work
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- The probability that a random real Gaussian matrix has \(k\) real eigenvalues, related distributions, and the circular law
- Large deviations for Wigner's law and Voiculescu's non-commutative entropy
- Finding all multiple stable fixpoints of \(n\)-species Lotka-Volterra competition models
- Stronger-than-Lyapunov notions of matrix stability, or how ``flowers help solve problems in mathematical ecology
- Topology trivialization and large deviations for the minimum in the simplest random optimization
- Exclusion and multiplicity for stable communities in Lotka-Volterra systems
- Low rank perturbations of large elliptic random matrices
- Replica symmetry breaking condition exposed by random matrix calculation of landscape complexity
- Complexity of Random Energy Landscapes, Glass Transition, and Absolute Value of the Spectral Determinant of Random Matrices
- The Elliptic Law
- Nonlinear analogue of the May−Wigner instability transition
- Solvable model of a complex ecosystem with randomly interacting species
- Replica symmetry breaking in the random replicant model
- The simplest model of jamming
- Topology trivialization transition in random non-gradient autonomous ODEs on a sphere
- May–Wigner transition in large random dynamical systems
- Elliptic Law
- Large deviations from the circular law
- Random Matrices and Complexity of Spin Glasses
- Counting equilibria in a random non-gradient dynamics with heterogeneous relaxation rates
- A new spin on optimal portfolios and ecological equilibria
- Theory of Simple Glasses
- Statistical Ensembles of Complex, Quaternion, and Real Matrices
- Characteristics of Random Nets of Analog Neuron-Like Elements
- Numerical implementation of dynamical mean field theory for disordered systems: application to the Lotka–Volterra model of ecosystems
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