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Optimal bounds in normal approximation for many interacting worlds
Tác giả: Louis Chen, Lê Văn Thành
86    2
Annals of Applied Probability
Quyển: 33     Trang: 825-842
Đường link/DOI: 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
Minh chứng: 1523_4b Optimal bounds in normal approximation for many interacting worlds.pdf
Năm xuất bản: 4/2023
Tóm tắt
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).
Từ khóa
Harmonic oscillator, many interacting worlds, Normal approximation, Stein’s method
Cùng tác giả
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