The class of stochastic processes is characterized which, as multiplicative noise with large intensity, stabilizes a linear system with companion form dxd-matrix. This includes the characterization of parametric noise which stabilizes the damped inverse pendulum. The proof yields also an...

A natural approach to investigating the dynamics of stochastic flows is to study the action of such flows on measures. In models of pollution transport the resulting measure-valued random process describes the distribution of pollutant mass in space. When, in addition, pollutants are allowed to...