Operator Methods in Fractal Analysis, Wavelets and Dynamical Systems (06w5027)


(University of Oslo)

(The University of Iowa)

David Kribs (University of Guelph)

(Louisiana State University)

(Lund University)


Recently our understanding of some of the most exciting new scientific discoveries has proved to rely on fractal features. They are understood by the coming together of mathematics, communication theory, computer graphics, signal/image processing, medical imaging, and quantum theory. Leading researchers from around the world in the subject will converge on the Banff International Research Station this week, December 2 - 7, 2006, for a workshop on new developments in "Operator Methods in Fractal Analysis, Wavelets and Dynamical Systems".

This event is co-organized by Professors Ola Bratteli (University of Oslo, Norway), Palle Jorgensen (The University of Iowa, USA), David Kribs (University of Guelph), Gestur Olafsson (Louisiana State University, USA), Sergei Silvestrov (Lund University, Sweden). The names Bratteli and Jorgensen are synonymous with significant advances in these fields. Professor David Kribs is conducting pioneering work in quantum computation, and Professors Gestur Olafsson and Sergei Silvestrov are leading mathematicians in areas covered by the workshop and their applications to neighbouring fields such as engineering, physics, and medicine.

The expert group will focus on the hottest new results in fractal theory and related topics. Fractals are everywhere in nature and in technology. When you look at them in a microscope or in a telescope, you see hidden patterns as similar repeated structures and features, repeated at different scales. On occasion they are well hidden, for example in huge data sets from the internet. Fractal analysis and data mining are the tools that reveal these features, repeated at varying scales of resolution; and making up fundamental constituents in a yet new and relatively uncharted domain of science. The workshop will bring together experts in areas of pure and applied mathematics who have made independent advances; and the workshop will be a unique opportunity for advancing the field through teamwork and collaboration.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is administered by the Pacific Institute for the Mathematical Sciences, in collaboration with the Mathematics of Information Technology and Complex Systems Network (MITACS), the Berkeley-based Mathematical Science Research Institute (MSRI) and the Instituto de Matematicas at the Universidad Nacional Autonoma de Mexico (UNAM).