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Let B = (B1(t), . . . ,Bd(t)) be a d-dimensional fractional Brownian motion with Hurst index ≤ 1/4, or more generally a Gaussian process whose paths have the same local regularity. Defining properly...
Many cell functions are accomplished thanks to intracellular transport mechanisms of macromolecules along filaments.
We consider a class of stochastic reaction-diffusion equations also having a stochastic perturbation on the boundary and we show that when the diffusion rate is much larger than the rate of reaction, ...
In using data assimilation to import information from observations to estimate parameters and state variables of a model, one must assume a distribution for the noise in the measure- ments and in th...
In this article we present an intrinsec construction of foliated Brownian motion via stochastic calculus adapted to foli-ation.
We consider the problem of valuation of American (call and put) options written on a dividend paying stock governed by the geometric Brownian motion. We show that the value function has two different ...
We obtain a large deviation principle describing the small time asymp-totics of the solution of a stochastic evolution equation with multiplicative noise. Our assumptions are a condition on the linear...
For infinitely divisible distributions  on Rd the stochastic integral map-ping f  is defined as the distribution of improper stochastic integral R∞−0 f(s)dX() s ,where f(s) is a non-random f...
In this paper, an organization having two grades in which depletion of manpower occurs at every decision epoch is considered. Using univariate max policy of recruitment, based on shock model approach ...
We present a stochastic approach for ion transport at the mesoscopic level. The description takes into account the self-consistent electric field generated by the fixed and mobile charges as well as t...
The filtering problem have an important role in the theory of stochastic differential equations(SDEs). In this paper, we present an application of the continuous Kalman-Bucy filter for a RC circuit. T...
This work faces the problem of the origin of the logarithmic character of the Gompertzian growth. We show that the macroscopic, deterministic Gompertz equation describes the evolution from the initial...
In this paper, the model of stochastic fuzzy Hopfield neural networks with time-varying delays and impulses (ISFVDHNNs) is established as a modified Takagi-Sugeno (TS) fuzzy model in which the consequ...
This paper is to assess the real estate credit risk with the help of the value model with jump and stochastic interests. Using the value obeying a stochastic jump-diffusion process, applying the Ito t...
The aim of this paper is to investigate a fractional stochastic LandauGinzburg equation for modelling superconductivity from an approximation approach by the fact that a fractional Brownian motion of ...

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