Mathematics Colloquium

Folkmar Bornemann

(TU München)

"Don't be afraid of the 1001st (numerical) derivative"


Date: Mon, March 5, 2012
Time: 17:15
Place: Research II Lecture Hall

Abstract: The accurate and stable numerical calculation of higher-order derivatives of holomorphic functions (as needed, e.g. in random matrix theory to extract higher-order gap probabilities from a generating function) turns out to be a surprisingly rich topic: there are connections to asymptotic analysis, the theory of entire functions, and to a problem in algorithmic graph theory.