The study of Stochastic Partial Differential Equations (SPDEs) occupies a central position in the modern analysis of physical systems where randomness and uncertainty play crucial roles. By ...

Studies mathematical theories and techniques for modeling financial markets. Specific topics include the binomial model, risk neutral pricing, stochastic calculus, connection to partial differential ...

This is a preview. Log in through your library . Abstract We consider the stochastic sequence {Yt}t∈ N defined recursively by the linear relation Yt+1=AtYt+Bt in a random environment. The environment ...

The Annals of Applied Probability, Vol. 28, No. 1 (February 2018), pp. 1-34 (34 pages) In this paper, we aim to develop the stochastic control theory of branching diffusion processes where both the ...