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
;
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:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Concentration of Measure.pdf
solo gestori archivio
Tipologia:
Versione Editoriale (PDF)
Licenza:
NON PUBBLICO - Accesso privato/ristretto
Dimensione
1.02 MB
Formato
Adobe PDF
|
1.02 MB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
