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 |