The special Mini-Course will take place over four days:
- Friday October 20, 2023, 11:00 AM - 11:50AM
- https://pitt.zoom.us/j/96726382972 Meeting ID: 967 2638 2972 Passcode: 184129
- Monday October 23, 2023, 11:00 AM - 11:50AM
- https://pitt.zoom.us/j/93799327577 Meeting ID: 937 9932 7577 Passcode: 845083
- Wednesday October 25, 2023, 11:00 AM - 11:50AM
- https://pitt.zoom.us/j/95497923376 Meeting ID: 954 9792 3376 Passcode: 742359
- Friday October 27, 2023, 11:00 AM - 11:50AM
- https://pitt.zoom.us/j/97520644268 Meeting ID: 975 2064 4268 Passcode: 470240
These talks will cover the following topics:
- From tilings to fractals and spectrum
- Representations, dynamics, and invariant measures
- Signals, images, multi-resolutions, and filters
- Harmonic analysis and wavelets on fractals
- Fractional scales and boundaries
Abstract:
A leading theme of the talks is the strong and surprising connections between topics from a list of otherwise disparate areas of mathematics, including multi-resolutions, fractal structures, wavelets, and harmonic analysis. The topics will be made concrete via such themes as: the harmonic analysis of Cantor spaces (and measures) arising as fractals (including fractal dust), and iterated function systems (IFSs), as well as the methods used to study their harmonic analyses and wavelets that span both classical and fractal domains.
With a breadth of topics, the talks aim at a broader audience, including both established researchers, and students. The interconnectedness, and the sharply focused nature of the topics, will prove beneficial to audiences who are new to the field.
For questions about the Mini-Course, please contact the organizers, Chris Lennard (lennard@pitt.edu) or Juan Manfredi (manfredi@pitt.edu)
Additional note: This Mini-Course is associated with the conference, "Analysis and PDEs on Fractals: A Conference in Memory of Ka-Sing Lau."
Location and Address
Remotely, via Zoom (See links & Passwords above)
Speaker Information
Professor Palle Jorgensen, University of Iowa