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Optimal bounds in normal approximation for many interacting worlds
Authors: Louis Chen, Lê Văn Thành
202    28
Annals of Applied Probability
: 33     : 825-842
: https://projecteuclid.org/journals/annals-of-applied-probability/volume-33/issue-2/Optimal-bounds-in-normal-approximation-for-many-interacting-worlds/10.1214/21-AAP1747.short
: 1523_4b Optimal bounds in normal approximation for many interacting worlds.pdf
Publishing year: 4/2023
In this paper, we use Stein’s method to obtain optimal bounds, both in Kolmogorov and in Wasserstein distance, in the normal approximation for the empirical distribution of the ground state of a many-interacting-worlds harmonic oscillator proposed by Hall, Deckert and Wiseman (Phys. Rev. X 4 (2014) 041013). Our bounds on the Wasserstein distance solve a conjecture of McKeague and Levin (Ann. Appl. Probab. 26 (2016) 2540–2555).
Harmonic oscillator, many interacting worlds, Normal approximation, Stein’s method
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