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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, ...
Which communication rates can be attained over an unknown channel where the relation between the input and output can be arbitrary? A channel where the output is any arbitrary (possibly stochastic) fu...
Spectrum is the most valuable resource in the communication system, but unfor-tunately, so far, a half of the spectrum has been wasted, that is negative frequency spectrum.
Removing noise from piecewise constant (PWC) signals, is a challenging signal processing problem arising in many practical contexts. For example, in exploration geosciences, noisy drill hole records n...
It presents and analyzes the Euler methods for stochastic age-dependent population equations driven by Poisson random jump measure; Under the Local Lipschitz condition, we prove that the Euler approxi...
In this paper, we study the well known equation which is the Black-Scholes equation in the form of white noise. We found the kernel of such equation and obtained some interesting properties of such ke...
We study the invariant measure of a discretized stochastic Allen-Cahn equation in d+1 dimensions in the low noise limit. We consider a cuboidal domain and impose the two stable phases as boundary con...
We consider molecular communication, with information conveyed in the time of release of molecules.The main contribution of this paper is the development of a theoretical foundation for such a communi...
We construct solutions to Burgers type equations perturbed by a multiplicative spacetime white noise in one space dimension.
We investigate the sensitivity of the composite cellular automaton of H. Fuk\'{s} (Phys. Rev. E 55, R2081 (1997)) to noise and assess the density classification performance of the resulting probabilis...
Kernel random matrices have attracted a lot of interest in recent years, from both practical and theoretical standpoints. Most of the theoretical work so far has focused on the case were the data is s...
We consider the wave equation $(\p_t^2-\Delta_g)u(t,x)=f(t,x)$, in $\R^n$, $u|_{\R_-\times \R^n}=0$, where the metric $g=(g_{jk}(x))_{j,k=1}^n$ is known outside an open and bounded set $M\subset \R^n...
Let §N be a M ×N randommatrix defined by §N = BN +σWN where BN is a uniformly bounded deterministicmatrix andwhereWN is an independent identically distributed complex Gaussianmatrix with zeromean and ...
ntuitionistic Fuzzy derivative, Intuitionistic Fuzzy Gateaux derivative, Intuitionistic Fuzzy Fr´echet derivative are defined and a few of their properties are studied. The relation be- tween I...

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