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Let Z > 0 (resp. We consider a complete discrete valuation field K whose residue field is perfect of characteristic p. We sometimes consider a p -CDVF whose residue field is
Kusuoka and Stroock [25, 26] have developed asymptotic expansions of certain Wiener functionals with degenerate extrema for processes on abstract Wiener space whilst Rossignol [27]
This paper discusses the situation that the rate functional has two distinct minimizers, for a simple model described by the pinned Wiener measures with certain densities involving
Keywords Wiener space, Sobolev space, Stochastic integral, Fractional Brownian Motion, Itˆ o’s formula.. AMS Subject Classification (1991)
Let us emphasize that, in general, it is not even proven that the rate of exponential decay of the (averaged or not) two-point correlation function tends to zero when the critical
Keywords Wiener space, Sobolev spaces, Bismut-Driver formula, Logarithmic Sobolev inequal- ity, Capacities, Riemannian manifold path space.. AMS subject classification 60H07,
We investigate a functional limit theorem (homogenization) for Reflected Stochastic Differential Equations on a half-plane with stationary coefficients when it is necessary to
Two important facts about quadratic forms over local fields are these: any non-degenerate quadratic space of dimension five or more is isotropic, and there is, up to isometry, a
