The two-layer quasigeostrophic flow model is an intermidi-ate system between the single-layer 2D barotropic flow model and the continuously stratified, 3D baroclinic flow model. This model is widely used to investigate basic mechanisms in geophysical flows, such as baro-clinic effects, the Gulf Stream and subtropical gyres. The wind forcing acts only on the top layer. We consider the two-layer ...

The minimal distortion attainable in recovering the waveform of a continuous-time Wiener process from an encoded version of its uniform samples is considered. We first introduce a combined sampling and source coding problem for the Wiener process under uniform sampling, and prove an associated source coding theorem that characterizes the minimal distortion from samples. We then derive a closed-...

Sine-Wiener noise is increasingly adopted in realistic stochastic modeling for its bounded nature. However, many features of the SW are still unexplored. In this paper, firstly, properties and integral process explored as parameter $D$ tends to infinite. It found that although distribution quite different from Gaussian white noise, shows similarities with Wiener process. Inspired by process, wh...

In this paper, we consider a problem of samplinga Wiener process, with samples forwarded to a remote esti-mator via a channel with queueing and random delay. Theestimator reconstructs a real-time estimate of the signal fromcausally received samples. Motivated by recent research onAge-of-Information, we study the optimal sampling strategyfor minimizing the mean square est...