Guest lectures and seminars - Page 183

Over the last decades important methodological advances have been made for designing and analysing nested case-control and case-cohort studies. While some of these methodologies need further developments before they can be widely used, others have matured to a level that makes them ready to use in epidemiological practice. The focus of the workshop is on the methodologies that are ready to use. The workshop is aimed at biostatisticians and epidemiologists who work with population registry data and large cohorts studies. It is assumed that the participants are familiar with cohort and classical case-control studies and the regression models used to analyse them (logistic regression and Cox regression).

Patrick J. Lynett is from the University of Southern California.

Dávid Kunszenti-Kovács, Tübingen University (Germany) will give a talk with title "The Jacobs-deLeeuw-Glicksberg decomposition and ergodic theorems".

Abstract: We present the classical decomposition theorem for contractions on Hilbert spaces due to Jacobs, deLeeuw and Glicksberg, and show how it can be used to prove ergodic theorems. We then prove a new version of this decomposition, adapted to the context of W*-algebras, with consequences for W*-dynamical systems. Finally we take a look at how the characterizations given in the original decomposition theorem can be further strengthened.