聖塔非研究所

具有非局部相關性的機率模型:q-大偏差理論的數值證據

2022-10-26 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 The correlated probabilistic model introduced and analytically discussed in Hanel et al. (2009) is based on a self dual transformation of the index q which characterizes a current general…

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  • 類型:已發表論文
  • 日期:2022-10-26

摘要

The correlated probabilistic model introduced and analytically discussed in Hanel et al. (2009) is based on a self-dual transformation of the index q which characterizes a current generalization of Boltzmann-Gibbs 統計 mechanics, namely nonextensive 統計 mechanics, and yields, in the N -> oo limit, a Q-Gaussian distribution for any chosen value of Q E [1, 3). We show here that, by properly generalizing that self-dual transformation, it is possible to obtain an entire family of such probabilistic models, all of them yielding Qc-Gaussians (Qc >= 1) in the N -> oo limit. This family turns out to be isomorphic to the Hanel et al model through a specific monotonic transformation Qc(Q). Then, by following along the lines of Tirnakli et al (2022), we numerically show that this family of correlated pr

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