most citedAsymptotic expansions for the Laplace approximations of sums of Banach space-valued random variables

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math.PR2023★ 1 cited

Stochastic quantization of the three-dimensional polymer measure via the Dirichlet form method

Sergio Albeverio, Seiichiro Kusuoka, Song Liang +1

We prove that there exists a diffusion process whose invariant measure is the three dimensional polymer measure for all . We follow in part a previous incomplete unpubli…

math.PR2005★ 6 cited

Asymptotic expansions for the Laplace approximations of sums of Banach space-valued random variables

Sergio Albeverio, Song Liang

Let X_i, i\in N, be i.i.d. B-valued random variables, where B is a real separable Banach space. Let Φbe a smooth enough mapping from B into R. An asymptotic evaluation of Z_n=E(\ex…