调和测度统计与共形场论临界曲线的缠绕
Statistics of harmonic measure and winding of critical curves from conformal field theory
摘要：
临界二维统计系统标度极限中出现的随机曲线的分形几何特征是它们的调和测度和缠绕角。前者是曲线锯齿的度量，而后者则量化了它们形成对数螺旋的趋势。我们展示了这些特点是如何与当地运营商的共形场论，以及如何使用共形不变性的临界系统与中心荷$c \leqslant 1$计算。
英文摘要：
Fractal geometry of random curves appearing in the scaling limit of critical two-dimensional statistical systems is characterized by their harmonic measure and winding angle. The former is the measure of the jaggedness of the curves while the latter quantifies their tendency to form logarithmic spirals. We show how these characteristics are related to local operators of conformal field theory and how they can be computed using conformal invariance of critical systems with central charge $c \leqslant 1$.
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。
