Room 440, Astronomy-Mathematics Building, NTU + Cisco WebEx, Physical+Online Seminar
(實體+線上演講 台灣大學天文數學館440室 + Cisco WebEx)
A Brief Introduction to First-passage Percolation (II)
Wai Kit Lam (National Taiwan University)
Abstract
Continuing the previous talk, we will first discuss conjectures and known results about the limit shape in first-passage percolation. After that, we will discuss the fluctuations of the first-passage time
![](https://chart.googleapis.com/chart?cht=tx&chl=%24T(0%2Cx)%24&chf=bg,s,333333&chco=ffffff)
. In this talk, we will mainly focus on the variance upper bound of
![](https://chart.googleapis.com/chart?cht=tx&chl=%24T(0%2Cx)%24&chf=bg,s,333333&chco=ffffff)
, which is shown to be sublinear in
![](https://chart.googleapis.com/chart?cht=tx&chl=%24%5C%7Cx%5C%7C%24&chf=bg,s,333333&chco=ffffff)
(this is also known as the superconcentration phenomenon).
WebEx Link https://nationaltaiwanuniversity-ksz.my.webex.com/nationaltaiwanuniversity-ksz.my/j.php?MTID=m740c46b85cb0685baf2ee26ed3fd5f9b
Meeting number (access code): 2518 229 4339
Meeting password: qpUgS2HDP57