Concentration of measure for classical Lie groups
arXiv:1810.06492
Abstract
We study concentration of measure in Lie group actions. We define the notion of concentration locus of a flag sequence of Lie groups. Some examples of infinite group action on an infinite dimensional compact and non compact manifold show the role played by the trajectory of concentration locus. We also provide some applications in Physics, which emphasize the role of concentration of measure in gravitational effects.
19 pages, 8 figures, separated into two distinct articles, the second part being in arXiv:2204.04787 (math-GR)