Event
The Perron-Frobenius Theorem revisited. From real to complex!| Title of the event | The Perron-Frobenius Theorem revisited. From real to complex! |
| Series | SonstigeVeranstaltungenMI |
| Organizer | Mathematisches Institut |
| Speaker | Prof. Hans Henrik Rugh |
| Speaker institution | Universität Paris-Süd |
| Type of event | Vortrag |
| Category | Forschung |
| Registration required | Nein |
| Details | The celebrated Perron-Frobenius theorem for the existence of a leading positive eigenvalue of a positive matrix came to light in 1907. A plethora of proofs and generalizations have since appeared. I have selected a couple of significant ideas and events in this evolution with illustrations borrowed from dynamical systems and probability theory. A key contribution comes with G. Birkhoff who in 1957 discovered a principle for a uniform contraction of a (real) cone. This became a source of inspiration for me to develop a theory for complex cones, in particular implying a Perron-Frobenius like theorem for complex matrices. |
| Date | Start: 26.04.2019, 10:00 Uhr Ende: 26.04.2019 , 11:00 Uhr |
| Location |
Mathematisches Institut (Bunsenstr 3-5) Hörsaal 4 |
| Contact |
0551-3927752 annalena.wendehorst@mathematik.uni-goettingen.de |