Linear, null controllable systems, for which an arbitrary initial state can be transferred to the origin with arbitrarily small energy, are characterized. Theorems are stated in terms of anâ€¦ (More)

In this article spatial and temporal regularity of the solution process of a stochastic partial differential equation (SPDE) of evolutionary type with nonlinear multiplicative trace class noise isâ€¦ (More)

Abstract: We consider a class of semilinear stochastic evolution equations driven by an additive cylindrical stable noise. We investigate structural properties of the solutions like Markov,â€¦ (More)

The completeness of a bond market model with infinite number o f sources of randomness on a finite time interval in the Heath-Jarrow-Morton fra mework is studied. It is proved that the market in theâ€¦ (More)

We prove exponential convergence to the invariant measure, in the total variation norm, for solutions of SDEs driven by Î±-stable noises in finite and in infinite dimensions. Two approaches are used.â€¦ (More)

This paper considers the modelling of collateralized debt obligations (CDOs). We propose a top-down model via forward rates generalizing FilipoviÄ‡, Overbeck and Schmidt (2009) to the case where theâ€¦ (More)