On the association and central limit theorem for solutions of the parabolic Anderson model

zbMath1260.60117MaRDI QIDQ1928880

Yanyan Li

Publication date: 4 January 2013

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1348505530

zbMATH Keywords

parabolic Anderson equationGaussian fieldlarge scale behavior

Mathematics Subject Classification ID

Random fields (60G60) Central limit and other weak theorems (60F05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Cites Work

• Normal fluctuations and the FKG inequalities
• Positively correlated normal variables are associated
• Transition from the annealed to the quenched asymptotics for a random walk on random obstacles
• Quenched to annealed transition in the parabolic Anderson problem
• Parabolic Anderson problem and intermittency
• Association of Random Variables, with Applications
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