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This article studies the parabolic system of equations which is closely related to multitype branching Brownian motion. Particular attention is paid to the monotone traveling wave solutions of this sy...
This article studies the parabolic system of equations which is closely related to multitype branching Brownian motion. Particular attention is paid to the monotone traveling wave solutions of this sy...
Consider a queue with a stochastic fluid input process modeled as fractional Brownian motion (fBM). When the queue is stable, we prove that the maximum of the workload process observed over an interva...
The paper is concerned with the maximum likelihood estimator (MLE) of the unknown drift parameterθ∈Rin the continuous-time regression model Xt =θt+Bt +BHt,t ∈[0, T] whereBt is the Brownian motion and ...
In this paper we consider the Stochastic isothermal, nonlinear, incompressible bipolar viscous fluids driven by a genuine cylindrical fractional Bronwnian motion with Hurst parameter $H \in (1/4,1/2)$...
This paper proposes a new fBm (fractional Brownian motion) interpolation/reconstruction method from partially known samples based on CS (Compressive Sampling). Since 1/f property implies power law ...
This paper deals with the identification of the multivariate fractional Brownian motion, a recently developed extension of the fractional Brownian motion to the multivariate case. This process is a $p...
This paper deals with the identification of the multivariate fractional Brownian motion, a recently developed extension of the fractional Brownian motion to the multivariate case. This process is a $p...
We approximate the solution of some linear systems of SDEs driven by a fractional Brownian motion $B^H$ with Hurst parameter $H\in(\frac{1}{2},1)$ in the Wick--It\^{o} sense, including a geometric fra...
Weak convergence to the Brownian motion of the partial sums of infima of independent random variables。
On the rate of convergence to Brownian motion of the partial sums of infima of independent random variables。
The paper identifies the Dirichlet form of the "path- ' wise-defined" reflected Brownian motion on the Sierpiriski gasket with the Dirichlet form on the Sierpiliski gasket introduced by Fukushima a...
A Brownian motion on the Sierpiriski gasket gets absorbed at the boundary of a cloud of balls with centers distributed according to an independent Poisson law. The aim of this paper is to investiga...

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