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原文連結
論文資訊
- 類型：已發表論文
- 日期：2021-12-21
摘要
The standard Large Deviation Theory (LDT) mirrors the Boltzmann-Gibbs (BG) factor which describes the thermal equilibrium of short-range Hamiltonian systems, the velocity distribution of which is Maxwellian. It is generically applicable to systems satisfying the Central Limit Theorem (CLT), among others. When we focus instead on stationary states of typical 複雜系統s (e.g., classical long-range Hamiltonian systems), both the CLT and LDT need to be generalized. We focus here on a scale-invariant 隨機 process involving strongly-correlated exchangeable random variables which, through the Laplace-de Finetti theorem, is known to yield a long-tailed Q-Gaussian N -> infinity 吸引子 in the space of distributions (1 < Q < 3). We present strong numerical indications that the corresponding LDT probability dis
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