自相似分布场的统计理论
Statistical theory of self-similarly distributed fields
摘要：
建立了自相似统计系统的场论，其生成泛函为Tsallis指数的Mellin变换，生成泛函为尺度变换的Jackson导数.有了这样的选择，一个波动的序参量的作用示出发挥变形的对数的流体动力学模式的振幅。在调和方法中，求出了低次幂的变形配分函数和序参量的矩，得到了考虑统计系统的约束和对称性的生成泛函方程组.
英文摘要：
A field theory is built for self-similar statistical systems with both generating functional being the Mellin transform of the Tsallis exponential and generator of the scale transformation that is reduced to the Jackson derivative. With such a choice, the role of a fluctuating order parameter is shown to play deformed logarithm of the amplitude of a hydrodynamic mode. Within the harmonic approach, deformed partition function and moments of the order parameter of lower powers are found. A set of equations for the generating functional is obtained to take into account constraints and symmetry of the statistical system.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
