Since October 2004, I joined as Assistant Professor Institute of Mathematics, Polish Academy of Sciences.

My research interests include:

theory of Gabor & wavelet frames,

applications to signal/image processing

applications to biomedical engineeering,

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.

Since 2005 I have been working on the reconstruction of ancient theatre acoustics in order to verify which effect it had on a sound, what conclusions about ancient Greek culture follow from it, and also how modern acoustics can benefit from these results.

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.

Note that in his recent article in Financial Times (Mar 17, 2008), former Federal Reserve chairman Alan Greenspan, notices that the current economical models lack a factor covering "the innate human responses that result in swings between euphoria and fear", which is measured by Hurst exponent.

What I was doing in Marseille?

What I was doing in Davis?

My Ph.D. thesis.