A Note on Local Asymptotic Behavior for Brownian Motion in Banach Spaces
نویسنده
چکیده
In this paper we obtain an integral characterization of a two-slded upper function for Brownian motion in a real separable Banach space. This characterization generalizes that of Jaln and Taylor [2] where B n. The integral test obtained involves the index of a mean zero Gaussian measure on the Banach space, which is due to Kuelbs [3] The special case that when B is itself a real separable Hilbert space is also illustrated.
منابع مشابه
Asymptotic Radial Speed of the Support of Supercritical Branching Brownian Motion and Super-Brownian Motion in R
It has long been known that the left-most or right-most particle in a one dimensional dyadic branching Brownian motion with constant branching rate β > 0 has almost sure asymptotic speed √ 2β, (cf. [18]). Recently similar results for higher dimensional branching Brownian motion and super-Brownian motion have also been established but in the weaker sense of convergence in probability; see [20] a...
متن کاملEffects of Brownian motion and Thermophoresis on MHD Mixed Convection Stagnation-point Flow of a Nanofluid Toward a Stretching Vertical Sheet in Porous Medium
This article deals with the study of the two-dimensional mixed convection magnetohydrodynamic (MHD) boundary layer of stagnation-point flow over a stretching vertical plate in porous medium filled with a nanofluid. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis in the presence of thermal radiation. The skin-friction coefficient, Nusselt number an...
متن کاملStochastic Volterra Equations in Banach Spaces and Stochastic Partial Differential Equations*
In this paper, we first study the existence-uniqueness and large deviation estimate of solutions for stochastic Volterra integral equations with singular kernels in 2-smooth Banach spaces. Then, we apply them to a large class of semilinear stochastic partial differential equations (SPDE) driven by Brownian motions as well as by fractional Brownian motions, and obtain the existence of unique max...
متن کاملAsymptotic Radial Speed of the Support of Supercritical Branching and Super-brownian Motion in R
It has long been known that the left-most or right-most particle in a one dimensional dyadic branching Brownian with constant branching rate > 0 has almost sure asymptotic speed p 2, (cf. McKean (1975)). Recently similar results for higher dimensional branching Brownian motions and super-Brownian motion have also been established the weaker sense of convergence in probability; see Pinsky (1995)...
متن کاملA modified variable physical properties model, for analyzing nanofluids flow and heat transfer over nonlinearly stretching sheet
In this paper, the problem of laminar nanofluid flow which results from the nonlinear stretching of a flat sheet is investigated numerically. In this paper, a modified variable physical properties model for analyzing nanofluids flow and heat transfer is introduced. In this model, the effective viscosity, density, and thermal conductivity of the solid-liquid mixture (nanofluids) which are common...
متن کامل