Random walks on random graphs in critical regimes

在访问墨尔本大学，我完成了一篇文章“有偏随机游走的痕迹有偏随机游走的痕迹.与马克·霍姆斯的合作已经提交我还在几个正在进行的项目上取得了进展，包括：与Daisuke Shiraishi（京都），奥默天使（UBC）和萨莱埃尔南德斯托雷斯（UBC）一起，我在三维均匀生成树上的随机行走方面取得了进展-我们预计在2019财年完成这项工作，在9月份访问UBC之后;我还希望在那里完成一个项目，该项目今年一直在进行中，与马丁巴洛（UBC）和熊谷隆（京都大学）的二维模型。

On a visit to the University of Melbourne, I completed an article 'Biased random walk on the trace of biased random walk on the trace of...' with Mark Holmes, which has been submitted. I have also made progress on several ongoing projects, including: together with Daisuke Shiraishi (Kyoto), Omer Angel (UBC), and Sarai Hernandez Torres (UBC), I have work on the random walk on the 3-dimensional uniform spanning tree - we expect to complete this in FY2019, following a visit to UBC in September; I also hope to complete there a project that has been ongoing this year with Martin Barlow (UBC) and Takashi Kumagai (Kyoto University) on the two-dimensional model.