Ensembles convexes et mosaıques aleatoires

Raphael Lachieze - Rey

Description

Ensembles convexes et mosaıques aleatoires Raphael Lachieze-Rey PhD defence at USTL, under the direction of Youri Davydov November 15, 2010 Raphael Lachieze-Rey () Ensembles convexes et mosaıques aleatoires November 15, 2010 1 / 37

• extremal points


• dimensional fluid


• random tessellations


• generalised peeling


• convex hulls


• uniformly spread along


• burgers equation


• continuous model

Sujets

• Davydov
• Burgers' equation
• Continuous modelling

Informations

• Publié par: profil-urra-2012
• Nombre de lectures: 26
• Langue: Français

Extrait

Ensembles

convexes

Rapha¨el

et

¨ mosaıques

Lachie`ze-Rey

al´eatoires

PhD defence at USTL, under the direction of Youri Davydov

Raphae¨lLachie`ze-Rey

()

November

15,

2010

Ensemblesconvexesetmosa¨ıquesal´eatoires

November 15, 2010

1 / 37

1

2

3

4

Convex hulls of stochastic processes

Convex rearrangements

Random tessellations

Generalised peeling

Raphae¨lLachi`eze-Rey()

Ensemblesconvexesetmosa¨ıquesal´eatoires

November 15, 2010

2 / 37

1

2

3

4

Convex hulls of stochastic processes

Convex rearrangements

Random tessellations

Generalised peeling

Rapha¨elLachie`ze-Rey()

Ensemblesconvexesetmosaı¨quesale´atoires

November 15, 2010

3 / 37

Extremal points Stochastic processX ext(X: Set of the extremal points of its graph.)

Topics of interest:

Topology ofext(X), 1-dimensional Hausdorff measure ofext(X).

More precisely: ext + (X points in the upper part of the convex hull.): Extremal

RaphaelLachie`ze-Rey() ¨

Ensemblesconvexesetmosa¨ıquesal´eatoires

November 15, 2010

4 / 37