Concentration of measure for classical Lie groups
Group Theory
2022-04-13 v3 Mathematical Physics
General Topology
math.MP
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.
Keywords
Cite
@article{arxiv.1810.06492,
title = {Concentration of measure for classical Lie groups},
author = {S. L. Cacciatori and P. Ursino},
journal= {arXiv preprint arXiv:1810.06492},
year = {2022}
}
Comments
19 pages, 8 figures, separated into two distinct articles, the second part being in arXiv:2204.04787 (math-GR)