Mesures harmoniques, exposants de Lyapunov et feuilletages
Viet Anh Nguyen
LPP, Université de Lille
http://math.univ-lille1.fr/~vnguyen/index_English.html
Date(s) : 17/02/2014 iCal
10h00 - 11h00
Harmonic measurements, Lyapunov exponents and foliation
The aim of our talk is to present some recent results on the ergodic theory of foliations. Given a foliation provided with a harmonic and ergodic probability measure, we define the Lyapunov exponents. These characteristic numbers measure the average speed of sheet spacing in different transverse directions. To do this we introduce the notion of multiplicative cocycles with matrix value, then we establish an Oseledec’s multiplicative ergodic theorem.
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