The mean value of an asymptotic invariant of a knotted trajectory of a Ghys-Dehornoy geodesic flow is calculated. The result is important for investigating the magnetostatic equilibrium state of a magnetic field in a liquid conducting medium.

中文翻译：

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测地流中的结不变量

计算Ghys-Dehornoy测地流的打结轨迹的渐近不变量的平均值。该结果对于研究液体导电介质中磁场的静磁平衡状态很重要。