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We consider a passive scalar in a periodic shear flow perturbed by an additive fractional noise with the Hurst exponent H ∈ (0, 1). We establish a diffusive homogenization limit for the tracer when th...
In the paper, the Bismut derivative formula is established for multidimensional SDEs driven by additive fractional noise ($1/2 and moreover the Harnack inequality is given. Through a Lamperti t...
We investigate the full functional form of the first passage time density (FPTD) of a tracer particle in a single-file diffusion (SFD) system whose population is: (i) homogeneous, i.e., all particles ...
Abstract: In this paper we consider stochastic differential equations with non-negativity constraints, driven by a fractional Brownian motion with Hurst parameter $H>\1/2$. We first study an ordinary ...
Abstract: Given a fractional Brownian motion \,\,$(B_{t}^{H})_{t\geq 0}$,\, with Hurst parameter \,$> 1/2$\,\,we study the properties of all solutions of \,\,: {equation} X_{t}=B_{t}^{H}+\int_0^t X_{u...
Abstract: In this paper we consider the Stochastic isothermal, nonlinear, incompressible bipolar viscous fluids driven by a genuine cylindrical fractional Bronwnian motion with Hurst parameter $H \in ...
Abstract: We present an extension of the Edwards model for conformations of individual chain molecules in solvents in terms of fractional Brownian motion, and discuss the excluded volume effect on the...
Fractional Brownian motion is a Gaussian process x(t) with zero mean and two-time correlations hx(t1)x(t2)i = Dt2H 1 + t2H 2 􀀀 jt1 􀀀 t2j2H, where H, with 0 < H < 1 is called the Hu...
In this article, the so-called "Nyström method" is tested to compute optimal quantizers of Gaussian processes. In particular, we derive the optimal quantization of the fractional Brownian motion ...
We study linear combinations of independent fractional Brownian motions and generalize several recent results from [10] and [17]. As a first new result we calculate explicitly the Hausdorff dimension ...
In this paper, we present some stochastic properties and characteristics of the fractional mixed fractional Brownian motion, and we study the α-differentiability of its sample paths.
Many aspects of earthquake generation still escape our full understanding. Observations of electromagnetic emissions preceding significant earthquakes provide one of the few cases of premonitory event...
Let $B^\a = \{B^{\alpha}(t), t \in {\mathbb R}^N\}$ be an $(N,d)$-fractional Brownian motion with Hurst index ${\alpha} \in (0,1)$. By applying the strong local nondeterminism of $B^{\alpha}$, we prov...

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