Positive solutions for large random linear systems

DOI10.1090/proc/15383zbMath1465.15007arXiv1904.04559OpenAlexW3111409688MaRDI QIDQ4985368

Jamal Najim, Pierre Bizeul

Publication date: 23 April 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.04559

zbMATH Keywords

linear systemsLotka-Volterra systems

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Extreme value theory; extremal stochastic processes (60G70) Ecology (92D40) Random matrices (algebraic aspects) (15B52) Linear equations (linear algebraic aspects) (15A06)

Related Items (4)

On non-negative solutions to large systems of random linear equations ⋮ Equilibrium and surviving species in a large Lotka-Volterra system of differential equations ⋮ Equilibrium in a large Lotka-Volterra system with pairwise correlated interactions ⋮ Feasibility of sparse large Lotka-Volterra ecosystems

Cites Work

• Spectral analysis of large dimensional random matrices
• The spectral radius of large random matrices
• Maxima of Poisson-like variables and related triangular arrays
• Concentration Inequalities
• A chaos hypothesis for some large systems of random equations
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