Related references
Note: Only part of the references are listed.Counting equilibria in a random non-gradient dynamics with heterogeneous relaxation rates
Bertrand Lacroix-A-Chez-Toine et al.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2022)
Instabilities of complex fluids with partially structured and partially random interactions
Giorgio Carugno et al.
PHYSICAL BIOLOGY (2022)
Delocalization transition in low energy excitation modes of vector spin glasses
Silvio Franz et al.
SCIPOST PHYSICS (2022)
Effects of intraspecific cooperative interactions in large ecosystems
Ada Altieri et al.
SCIPOST PHYSICS (2022)
Dynamical systems on large networks with predator-prey interactions are stable and exhibit oscillations
Andrea Marcello Mambuca et al.
PHYSICAL REVIEW E (2022)
POSITIVE SOLUTIONS FOR LARGE RANDOM LINEAR SYSTEMS
Pierre Bizeul et al.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY (2021)
Exploring the effect of network topology, mRNA and protein dynamics on gene regulatory network stability
Yipei Guo et al.
NATURE COMMUNICATIONS (2021)
Stability of large complex systems with heterogeneous relaxation dynamics
Pierre Mergny et al.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2021)
Localization and Universality of Eigenvectors in Directed Random Graphs
Fernando Lucas Metz et al.
PHYSICAL REVIEW LETTERS (2021)
Nonlinearity-generated resilience in large complex systems
S. Belga Fedeli et al.
PHYSICAL REVIEW E (2021)
Dispersal-induced instability in complex ecosystems
Joseph W. Baron et al.
NATURE COMMUNICATIONS (2020)
Spectral density of dense random networks and the breakdown of the Wigner semicircle law
Fernando L. Metz et al.
PHYSICAL REVIEW RESEARCH (2020)
Linear stability analysis of large dynamical systems on random directed graphs
Izaak Neri et al.
PHYSICAL REVIEW RESEARCH (2020)
Universal transient behavior in large dynamical systems on networks
Wojciech Tarnowski et al.
PHYSICAL REVIEW RESEARCH (2020)
Spectral theory of sparse non-Hermitian random matrices
Fernando Lucas Metz et al.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2019)
Numerical implementation of dynamical mean field theory for disordered systems: application to the Lotka?Volterra model of ecosystems
F. Roy et al.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2019)
The Circular Law for random regular digraphs
Nicholas A. Cook
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES (2019)
The feasibility and stability of large complex biological networks: a random matrix approach
Lewi Stone
SCIENTIFIC REPORTS (2018)
Marginally stable equilibria in critical ecosystems
Giulio Biroli et al.
NEW JOURNAL OF PHYSICS (2018)
Non-Hermitian random matrices with a variance profile (I): deterministic equivalents and limiting ESDs
Nicholas Cook et al.
ELECTRONIC JOURNAL OF PROBABILITY (2018)
Effect of population abundances on the stability of large random ecosystems
Theo Gibbs et al.
PHYSICAL REVIEW E (2018)
Cleaning large correlation matrices: Tools from Random Matrix Theory
Joel Bun et al.
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS (2017)
Self-regulation and the stability of large ecological networks
Gyorgy Barabas et al.
NATURE ECOLOGY & EVOLUTION (2017)
Extremal eigenvalues and eigenvectors of deformed Wigner matrices
Ji Oon Lee et al.
PROBABILITY THEORY AND RELATED FIELDS (2016)
Random antagonistic matrices
Giovanni M. Cicuta et al.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2016)
Eigenvalue Outliers of Non-Hermitian Random Matrices with a Local Tree Structure
Izaak Neri et al.
PHYSICAL REVIEW LETTERS (2016)
Nonlinear analogue of the May-Wigner instability transition
Yan V. Fyodorov et al.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2016)
No complexity-stability relationship in empirical ecosystems
Claire Jacquet et al.
NATURE COMMUNICATIONS (2016)
Properties of networks with partially structured and partially random connectivity
Yashar Ahmadian et al.
PHYSICAL REVIEW E (2015)
Transition to Chaos in Random Neuronal Networks
Jonathan Kadmon et al.
PHYSICAL REVIEW X (2015)
Low rank perturbations of large elliptic random matrices
Sean O'Rourke et al.
ELECTRONIC JOURNAL OF PROBABILITY (2014)
Stability of competition-antagonism-mutualism hybrid community and the role of community network structure
Akihiko Mougi et al.
JOURNAL OF THEORETICAL BIOLOGY (2014)
Outliers in the spectrum of iid matrices with bounded rank perturbations
Terence Tao
PROBABILITY THEORY AND RELATED FIELDS (2013)
UNIVERSALITY AND THE CIRCULAR LAW FOR SPARSE RANDOM MATRICES
Philip Matchett Wood
ANNALS OF APPLIED PROBABILITY (2012)
Stability criteria for complex ecosystems
Stefano Allesina et al.
NATURE (2012)
Diversity of Interaction Types and Ecological Community Stability
A. Mougi et al.
SCIENCE (2012)
Around the circular law
Charles Bordenave et al.
PROBABILITY SURVEYS (2012)
Cavity approach to the spectral density of non-Hermitian sparse matrices
Tim Rogers et al.
PHYSICAL REVIEW E (2009)
Stability in real food webs: Weak links in long loops
AM Neutel et al.
SCIENCE (2002)