A chaos hypothesis for some large systems of random equations

DOI10.1007/BF00535717zbMath0468.60061OpenAlexW1991680663MaRDI QIDQ3921926

Stuart Geman, Chii-Ruey Hwang

Publication date: 1982

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00535717

zbMATH Keywords

law of large numberscentral limit theoremdifferential equations with random coefficientslarge systems of weakly coupled equations

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Stochastic analysis (60H99)

Related Items (8)

An interacting diffusion model and SK spin glass equation ⋮ On the spectral radius of a random matrix: an upper bound without fourth moment ⋮ Outliers in spectrum of sparse Wigner matrices ⋮ Equilibrium and surviving species in a large Lotka-Volterra system of differential equations ⋮ Positive solutions for large random linear systems ⋮ Feasibility of sparse large Lotka-Volterra ecosystems ⋮ Limiting properties of large systems of random linear equations ⋮ Limiting behavior of the norm of products of random matrices and two problems of Geman-Hwang

Cites Work

• Unnamed Item
• Unnamed Item
• A limit theorem for the norm of random matrices
• Almost Sure Stable Oscillations in a Large System of Randomly Coupled Equations
• Two central limit problems for dependent random variables
• A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the sum of Observations

This page was built for publication: A chaos hypothesis for some large systems of random equations