Many proofs that $\sum_{n=1}^{\infty} \frac{1}{n^2} = \frac{π^2}{6}$ can be found in the conformal invariance of planar Brownian motion
Greg Markowsky·2018-12-17·via math.PR updates on arXiv.org
A number of recent new proofs of Euler's celebrated identity are presented, all of which are probabilistic in nature and depend on the conformal invariance of planar Brownian motion.