Stochastic differential equations (SDEs) and random processes form a central framework for modelling systems influenced by inherent uncertainties. These mathematical constructs are used to rigorously ...

Probabilists are often facing the task to determine the asymptotic behavior of a given sequence of random variables, more precisely, to prove its convergence (in a suitable sense) to a limiting ...

This is a preview. Log in through your library . Abstract In this paper we prove the existence of mild solutions for random, semilinear evolution equations involving a random, linear, unbounded ...

Many dynamic processes can be described mathematically with the aid of stochastic partial differential equations. Scientists have found a new method which helps to solve a certain class of such ...

Random projections are random linear maps, sampled from appropriate distributions, which approximately preserve certain geometrical invariants so that the approximation improves as the dimension of ...