This thesis looks at the problem of finding the optimal investment strategy of a self-financing portfolio in a dynamic complete market setting so that the risk measured b[...]

We define a class of convex measures of risk whose values depend on the random variables only up to the lambda-quantiles for some given constant lambda in (0,1). For thi[...]

We present Markov models for two social processes: the spread of rumors and the change in the spatial distribution of a population over time. For the spread of rumors, we[...]