Location: room 611 of the Wiskunde building (campus De Uithof) Budapestlaan 6, Utrecht.

Date and time: Thursday, February 18, 2010 15:30-16:30. The lecture is preceded by coffee, tea, and cookies from 15.00 to 15.30 hour in the same room.

Abstract: Gibbs measures were originally introduced in statistical mechanics but are nowadays widely applied in probability theory and statistics.  Its mathematically rigorous study has been the object of the field known as mathematical statistical mechanics, born in the early sixties.  This field has produced a rather complete and sophisticated theory of Gibbs measures that has turned them into reference objects for modeling purposes.  Not all measures are Gibbs, however, as reminded by many surprising examples.  The talk will start with a presentation of the rigorous definition and main properties of Gibbs measures, followed by a discussion of benchmark instances of non-Gibbsianness.