Botero, Alonso and Christandl, Matthias and Vrana, Péter (2021) Large deviation principle for moment map estimation. ELECTRONIC JOURNAL OF PROBABILITY, 26. ISSN 1083-6489
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Official URL: https://doi.org/10.1214/21-EJP636
Abstract
Given a representation of a compact Lie group and a state we define a probability measure on the coadjoint orbits of the dominant weights by considering the decomposition into irreducible components. For large tensor powers and independent copies of the state we show that the induced probability distributions converge to the value of the moment map. For faithful states we prove that the measures satisfy the large deviation principle with an explicitly given rate function.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika Q Science / természettudomány > QC Physics / fizika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 18 Jan 2023 14:26 |
| Last Modified: | 18 Jan 2023 14:26 |
| URI: | http://real.mtak.hu/id/eprint/156783 |
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