Carlos Pacheco

Stochastic Dynamic Models with Applications

We have studied different stochastic models describing phenomena in areas such as physics, biology, finance, etc. The models are based on stochastic processes with discrete or continuous time parameter and discrete or continuous state space. In this talk we concentrate on two particular models. In the first model we study a random motions in random environment and find the ergodic distribution of the Markov process, which turns out to be beta distribution. In the second model we consider stochastic processes which are not Markov, they are based on renewal type process. We find that a Levy process arises as a limit process. Applied aspects of the models will be briefly outlined.