Ημερομηνία : Παρασκευή, 28 Νοεμβρίου, 2025

Ώρα : 13.00

Τοποθεσία : Αίθουσα Σεμιναρίων του Τομέα Μαθηματικών ΣΕΜΦΕ, κτ. Ε΄, 2ος όροφος

Ομιλητής: Ιωάννης Καρατζάς ( Professor at Columbia University,  https://www.math.columbia.edu/~ik/ ) .

Τίτλος Ομιλίας: The Hereditary Laws of Large Numbers

Περίληψη: The celebrated theorem of Komlos (1967) establishes L^1-boundedness as a sufficient condition for a sequence of measurable functions on a probability space to contain a subsequence along which, and along whose every further subsequence (“hereditarily”), the Cesaro averages converge to a “randomized mean” in the spirit of the Strong law of Large Numbers. We provide conditions not only sufficient, but also necessary, for this result, as well as for the hereditary analogues of the Weak Law of Large Numbers, of the Hsu-Robbins-Erdos Law of Large Numbers, and of the Law of the Iterated Logarithm.

Joint work with Istvan Berkes (Budapest) and Walter Schachermayer (Vienna).