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Seminars

Maximum edge-traversal time in First Passage Percolation

Hold Date
2016-10-21 16:00〜2016-10-21 17:30
Place
Seminar Room W1-D-725, West Zone 1, Ito campus, Kyushu University
Object person
 
Speaker
Shuta NAKAJIMA (Kyoto University)

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.