We obtain sharp asymptotics for the firsttimea “macroscopic” densityfluctuation occurs in asystem of independent simple symmetric randomwalks on Zd. Also, we show the convergence of the moments of the rescaled time by establishing tail estimates.
First occurrence time of a large density fluctuation for a system of independent random walks
DAI PRA P.
2000-01-01
Abstract
We obtain sharp asymptotics for the firsttimea “macroscopic” densityfluctuation occurs in asystem of independent simple symmetric randomwalks on Zd. Also, we show the convergence of the moments of the rescaled time by establishing tail estimates.
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