I explore here the extent to which a number of linguistic innovations, characteristic of the Englishes of the South-East of England, have diffused to a rural area to the north-west of East Anglia, known as the Fens. In doing so, I assess whether diffusion models in the literature to date adequately account for the outcomes of diffusion, as demonstrated in the casual speech of 18 adolescents fro...

In this paper, carbon nanotubes (CNTs) were added into chitosan (CS) hydrogels in the form of chitosan modified CNTs (CS-CNTs) composites to prepare carbon nanotubes hydrogels (CNTs-GEL). The products, named CS-MWCNTs, were characterized by scanning electron microscope (SEM) and Fourier transform infrared (FTIR) spectroscopy. Swelling properties and effect of pH on controlled release performanc...

I will speak about the existence of weak solutions (and the existence and uniqueness of strong solutions) to the stochastic Landau-Lifshitz equations for multi (and one)-dimensional spatial domains. I will also describe the corresponding Large Deviations principle and it’s applications to a ferromagnetic wire. The talk is based on a joint works with B. Goldys and T. Jegaraj. Estimates of the op...

We analyze in this paper the asymptotic behavior of the specification test of Aït-Sahalia (1996) for the stationary density of a diffusion process, but when the diffusion is not stationary. We consider integrated and explosive processes, as well as nearly integrated ones in the spirit of the local to unity analysis in classical unit root theory. We find that the behavior of the test predicted b...

Gaussian Scale-space describes the local structure of images. This paper shows a stochastic analysis of the diffusion equation as put forward by Koenderink (1984) for regular images. Important classes of the stochastic process which are structurally described by the diffusion analysis include Brownian fractals, Markovian textures, and fragmentation processes. The analysis shows the diffusion co...

We consider nonconservative diffusion processes xt on the unit interval, so with absorbing barriers. Using Doob-transformation techniques involving superharmonic functions, we modify the original process to form a new diffusion process x̃t presenting an additional killing rate part d > 0. We limit ourselves to situations for which x̃t is itself nonconservative with upper bounded killing rate. For...

Consider a reflecting diffusion in a domain in R that acquires drift in proportion to the amount of local time spent on the boundary of the domain. We show that the stationary distribution for the joint law of the position of the reflecting process and the value of the drift vector has a product form. Moreover, the first component is the symmetrizing measure on the domain for the reflecting dif...

We consider stochastic diffusion processes absorbed at the boundary of a domain. It is shown that there exist initial distributions which ensure a given decreasing of density of the absorbed process.

Many enterprises encounter difficulties during the process of KMS diffusion and thus fail to gain benefits from KMS adoption. This study aims to explain why some enterprises succeed while others fail in KMS diffusion. Based on technology diffusion theory and technologyorganization-environment (TOE) framework, we propose an integrated model to examine the influence of factors from the technologi...