It is shown that white noise is an invariant measure for the Korteweg-deVries equation on T. This is a consequence of recent results of Kappeler and Topalov establishing the well-posedness of the equation on appropriate negative Sobolev spaces, together with a result of Cambronero and McKean that white noise is the image under the Miura transform (Ricatti map) of the (weighted) Gibbs measure fo...

White noise generators can use uniform random sequences as a basis. However, such technology may lead to deficient results if the original have insufficient uniformity or omissions of variables. This article offers new approach for creating phase signal generator with an improved matrix autocorrelation coefficients. As result, generated signals white process absolutely intensities at eigen Four...