Large deviation principle for moment map estimation

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Standard

Large deviation principle for moment map estimation. / Botero, Alonso; Christandl, Matthias; Vrana, Péter.

In: Electronic Journal of Probability, Vol. 26, 79, 2021, p. 1-23.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Botero, A, Christandl, M & Vrana, P 2021, 'Large deviation principle for moment map estimation', Electronic Journal of Probability, vol. 26, 79, pp. 1-23. https://doi.org/10.1214/21-EJP636

APA

Botero, A., Christandl, M., & Vrana, P. (2021). Large deviation principle for moment map estimation. Electronic Journal of Probability, 26, 1-23. [79]. https://doi.org/10.1214/21-EJP636

Vancouver

Botero A, Christandl M, Vrana P. Large deviation principle for moment map estimation. Electronic Journal of Probability. 2021;26:1-23. 79. https://doi.org/10.1214/21-EJP636

Author

Botero, Alonso ; Christandl, Matthias ; Vrana, Péter. / Large deviation principle for moment map estimation. In: Electronic Journal of Probability. 2021 ; Vol. 26. pp. 1-23.

Bibtex

@article{5b7e71e0972844b298e03b555858e229,
title = "Large deviation principle for moment map estimation",
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.",
author = "Alonso Botero and Matthias Christandl and P{\'e}ter Vrana",
year = "2021",
doi = "10.1214/21-EJP636",
language = "English",
volume = "26",
pages = "1--23",
journal = "Electronic Journal of Probability",
issn = "1083-6489",
publisher = "Institute of Mathematical Statistics",

}

RIS

TY - JOUR

T1 - Large deviation principle for moment map estimation

AU - Botero, Alonso

AU - Christandl, Matthias

AU - Vrana, Péter

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

U2 - 10.1214/21-EJP636

DO - 10.1214/21-EJP636

M3 - Journal article

VL - 26

SP - 1

EP - 23

JO - Electronic Journal of Probability

JF - Electronic Journal of Probability

SN - 1083-6489

M1 - 79

ER -

ID: 270617058