We study the concentration of measure in metric-measurable(mm)-spaces. We de ne the notion of concentration locus of a ag sequence of metric-measurable(mm)-spaces. Some examples of in nite group action on an in nite 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 e ects.
CONCENTRATION OF MEASURE FOR CLASSICAL LIE GROUPS
Ursino, Pietro
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2023-01-01
Abstract
We study the concentration of measure in metric-measurable(mm)-spaces. We de ne the notion of concentration locus of a ag sequence of metric-measurable(mm)-spaces. Some examples of in nite group action on an in nite 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 e ects.File in questo prodotto:
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