Stochastic Volterra integral equations provide a powerful framework for modelling systems in which memory effects and hereditary properties play a central role. These equations extend the classical ...

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 ...

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 ...

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 ...

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