In this paper, we study properties of the dual process and Schrödinger-type operators of a non-symmetric diffusion with measure-valued drift. Let μ = (μ, . . . , μ) be such that each μ is a signed measure on R belonging to the Kato class Kd,1. A diffusion with drift μ is a diffusion process in R whose generator can be informally written as L + μ · ∇ where L is a uniformly elliptic differential ...

In this paper we describe G/G/R+s multi- repairmen machining system with balking. The system consists of M operating machines, S spare machines, R permanent and s additional repairmen. Assuming the discrete flow of machines by continuous one, the diffusion approximation technique for the machine repair system has developed. The system will be in normal working mode if there is M operating machi...

Futures contract is one of the most important derivatives that is used in financial markets in all over the world to buy or sell an asset or commodity in the future. Pricing of this tool depends on expected price of asset or commodity at the maturity date. According to this, theoretical futures pricing models try to find this expected price in order to use in the futures contract. So in this ar...

This paper describes a study that focused on long-term web-supported learning diffusion among lecturers at Tel Aviv University (TAU), from an organizational point of view. The theoretical models we used to examine this process are Rogers' model for "Diffusion of Innovation" (1995) and Bass's "Diffusion Model" (1969). The study was conducted between the academic years 2000/01 and 2007/08. At tha...

Convergence of stochastic processes with jumps to diffusion processes is investigated in the case when the limit process has discontinuous coefficients. An example is given in which the diffusion approximation of a queueing model yields a diffusion process with discontinuous diffusion and drift coefficients.

Experimental P diffusion profile in Si with a constant P surface concentration of 3 ×10 cm −3 at 900°C under an inert atmosphere is shown in Fig. 1. The abscissa is x / t = λ , where x is the distance from a specimen surface and t is the diffusion time. The profile has the plateau, rapid fall and tail. Yoshida et al. studied P diffusion in Si based on the pair diffusion models of the vacancy me...

Diffusion of items occurs in social networks due to spreading of items through word of mouth and exogenous factors. These items may be news, products, videos, advertisements or contagious viruses. When a user purchases or consumes one of such items, we say that she adopts the item and she becomes an item adopter. Previous research has studied diffusion process at both the macro and micro levels...

Aging refers to the processes by which the bioavailability/toxicity, isotopic exchangeability, and extractability of metals added to soils decline overtime. We studied the characteristics of the aging process in copper (Cu) added to soils and the factors that affect this process. Then we developed a semi-mechanistic model to predict the lability of Cu during the aging process with descriptions ...