Maximum edge-traversal time in First Passage Percolation
九州確率論セミナー
開催期間
2016.10.21(金)
16:00 ~ 17:30
16:00 ~ 17:30
場所
九州大学 伊都キャンパス ウエスト1号館 中セミナー室 W1-D-725
講演者
中島 秀太 (京都大学)
概要
Abstract:
First Passage Percolation was first introduced by Hammersley and Welsh in 1965 as a model for the spread of some material through a random medium. In 1993, van den Berg and Kesten showed that strict inequalities for the time constant with truncation, which leads that maximum edge-traversal time tends to infinity as long as edge distribution is sub-critical and unbounded. In this talk, we talk about the actual growth and related topics.