Ruprecht-Karls-Universität Heidelberg
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„Random walk on projective spaces“
Prof. Yves Benoist, Université Paris Sud

One of the aims of Ergodic Geometry is to describe the statistical behavior of the trajectories of a smooth dynamical system. Even for the action of matrices on the real projective space this behavior can be quite chaotic. With JF Quint, we focus on a very concrete question. Let A and B be two such matrices spanning an irreducible representation. Let x be a point on the projective space. We toss A or B, apply it to x, get another point y, do it again to y, get a point z, and again. We check that this random trajectory is equidistributed on the projective space and we explain how the limit measure depends on the random trajectory and on the starting point.

Donnerstag, den 18. Oktober 2012 um 17 c.t. Uhr, in INF 288, HS2 Donnerstag, den 18. Oktober 2012 at 17 c.t., in INF 288, HS2

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Wienhard