Hauptseminar Uncertainty relations [MA602090]
Sommersemester 2013
Content
We will look at various uncertainty relations, which appear in signal analysis, pure mathematics or physics - in particular quantum physics. Topics will range from classical Fourier analysis, Heisenberg and Time-Energy uncertainty relations over entropic uncertainty relations and duality and norm relations to modern applications in sparse signal recovery.
Talks:
- 4.6.2013, Carina Ruckerbauer: URs and signal recovery I (supervised by Dr. D. Reeb)
Handout: signal-l2-norm.pdf
- 13.6.2013, Dennis Elbrächter: URs and signal recovery II (supervised by Dr. D. Reeb)
Handout: signal-l1-norm.pdf
- 20.6.2013, Christoph Haupt: URs for quantum mechanical observables (supervised by Dr. D. Reitzner)
Handout: heisenberg-ur.pdf
- 4.7.2013, Sebastian Hummel: Time-energy URs (supervised by D. Lercher)
Handout: energy-time-ur.pdf
- 11.7.2013, Christian Neumaier: URs and Fourier analysis: (supervised by O. Szehr)
Handout: ur-fourier.pdf
Requirements and Format of the Presentations
- It is required that you schedule a meeting with your assigned supervisor at least twice prior to your seminar presentation, in order to understand the topic well, show your presentation and get feedback for improvement.
- Presentation duration: 60-75 minutes, plus approx. 15 minutes for questions/discussion. Medium: blackboard (highly recommended), possibly Powerpoint (for pictures etc.). Language: English
- Presenter is required to deliver a roughly 4-page handout to his supervisor on Monday (12:00) of the week of his/her presentation; the handout should contain all the discussed topics in the presentation (students are advised to use LaTeX or other specialized typesetting software)
- Students are required to attend all the presentations and read through the handouts before every presentation.
- In case of questions, contact your assigned supervisor.
