Geodesic
Concentration phenomena in high dimensional geometry
Olivier Guédon1
1 Université Paris-Est Marne-la-Vallée, UMR CNRS 8050, France
ESAIM. Proceedings, Tome 44 (2014), pp. 47-60.

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The purpose of this note is to present several aspects of concentration phenomena in high dimensional geometry. At the heart of the study is a geometric analysis point of view coming from the theory of high dimensional convex bodies. The topic has a broad audience going from algorithmic convex geometry to random matrices. We have tried to emphasize different problems relating these areas of research. Another connected area is the study of probability in Banach spaces where some concentration phenomena are related with good comparisons between the weak and the strong moments of a random vector.
DOI : 10.1051/proc/201444002

Olivier Guédon 1

1 Université Paris-Est Marne-la-Vallée, UMR CNRS 8050, France 
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Olivier Guédon. Concentration phenomena in high dimensional geometry. ESAIM. Proceedings, Tome 44 (2014), pp. 47-60. doi : 10.1051/proc/201444002. http://geodesic.mathdoc.fr/articles/10.1051/proc/201444002/

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