The complexity of high and infinite dimensional integration
Sprache des Vortragstitels:
Englisch
Original Tagungtitel:
MCS 2017, International Conference on Monte Carlo Methods and Applications, July 3-7, 2017, Montreal
Sprache des Tagungstitel:
Englisch
Original Kurzfassung:
We present recent results on the complexity of integration. We focus on high and infinite dimensional settings. In particular, we explain how embedding theorems between
certain scales of function spaces can be used to transfer complexity results between different settings. Examples of spaces that can be treated are tensor product spaces
of Korobov type spaces of increasing smoothness. This approach is equally useful for approximation problems.
Sprache der Kurzfassung:
Englisch
Vortragstyp:
Hauptvortrag / Eingeladener Vortrag auf einer Tagung