We study the asymptotic behaviour of a class of self-attracting motions on R. We prove the decrease of the free energy related to the system and mix it together with stochastic approximation methods. We finally obtain the (limit-quotient) ergodicity of the self-attracting diffusion with a speed of convergence.

Nowadays, despite the Internet, social networks are the main competitors of mass networks, and the number of their users is increasing day to day. Therefore, the purpose of this study is to provide a cultural model to understand the process of attracting TV audiences. This research is a practical research, and a descriptive-survey research in terms of data collection. The research orientation t...

Understanding what attracts trainees to a specialty, in this case nephrology, is elusive. Some factors relate to the individual, their personality andneeds; some factors are related to the field, including characteristics of daily work, patient problems, and an individual’s experience with nephrology and the people; and other factors are idiosyncratic. The reduced number of nephrology fellowshi...