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Since October 2004 till September 2011, I held a position of Assistant Professor at Institute of Mathematics, Polish Academy of Sciences. My research interests include:
Wilson systems play an essential role in the construction of orthonormal bases from the Gabor tight frames with redundancy. The research shows that there is a strong connection between the Wilson system construction and the automorphisms of the underlying system of operators esp. as they are unitarily implemented. In 2004 (Mar-Sep) I worked in the Institute of Computer Science, Polish Academy of Sciences. With J. Mielniczuk we researched the wavelet analysis of time series showing so called Long-Range Dependence what resulted in the series of papers. This behaviour is observed, e.g. in packet load in web traffic or in economical processes. To this group of stochastic processes belong, in particular, 1/f noises.
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