Abstract: There has been incredible progress in the last twenty years in the study of fractal paths and fields that arise in planar statistical physics. I will give an introduction to the area and discuss some recent results, focusing on some of the main characters (self-avoiding and loop-erased walk, Brownian loop measures, Schramm–Loewner evolution (SLE) and SLE-type loops, Gaussian free field, Liouville quantum gravity). I will also describe some analogous problems in other spatial dimensions.
本文研究两类共形不变圈测度：第一种为共形不变叠谤辞飞苍圈测度和厂肠丑谤补尘尘-尝辞别飞苍别谤演化(厂尝贰)，然后讨论二维骋补耻蝉蝉自由场与量子引力。第二种为厂尝贰型不变圈测度与圈擦除随机游走。应用尝辞别飞苍别谤微分方程研究厂尝贰需要自然的参数化：厂尝贰冲调袄办补辫辫补皑曲线。
相关附件
5-PL009 Lawler.pdf
