Large deviation principle for moment map estimation
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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
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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