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- W2971839647 abstract "In this paper, we consider the continuous parabolic Anderson model (PAM) driven by a time-independent log-correlated Gaussian field (LGF). We obtain an asymptotic result of $$mathbb{E}expBigg{frac{1}{2}sumlimits_{ j,k=1}^Nint_0^tint_0^tgamma(B_j(s)-B_k(r))drdsBigg}qquad(Nrightarrow infty)$$ which is composed of the independent Brownian motions ${B_j(s)}$ and the function $gamma$ approximating to a logarithmic potential at $0$, such as the covariances of massive free field and Bessel field. Based on the asymptotic result, we get the precise high moment asymptotics for Feynman-Kac formula of the PAM with LGF." @default.
- W2971839647 created "2019-09-12" @default.
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- W2971839647 date "2019-09-03" @default.
- W2971839647 modified "2023-09-27" @default.
- W2971839647 title "Precise high moment asymptotics for parabolic Anderson model with log-correlated Gaussian field" @default.
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