Error bounds in normal approximation for the squared-length of total spin in the mean field classical $N$-vector models

26 Mar 2019 Thành Lê Vǎn Tu Nguyen Ngoc

This paper gives the Kolmogorov and Wasserstein bounds in normal approximation for the squared-length of total spin in the mean field classical $N$-vector models. The Kolmogorov bound is new while the Wasserstein bound improves a result obtained recently by Kirkpatrick and Nawaz [Journal of Statistical Physics, \textbf{165} (2016), no... (read more)

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