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Asymptotic behavior of first passage time in frog models
Speaker: Cấn Văn Hảo (IMH-VAST and NUS)

Thời gian: 14h Thứ 5, ngày 03/12/2020

Địa điểm: P507 nhà A6 và online qua link


Tóm tắt: Frog models are simple but well-known models in the study of the spread of infection. In these models, individuals (also called frogs) move on the integer lattice $Z^d$, which have one of two states infected (active) and healthy (passive). We assume that at the beginning, there is only one infected frog at the origin, and there are healthy frogs at other sites of $Z^d$. When a healthy frog encounters an infected one, it becomes infected forever. While the healthy frogs do not move, the infected frogs perform independent simple random walks. In this talk, we will discuss on the asymptotic behavior, in particular the law of large numbers, fluctuation, large deviation principles, of the time that a given vertex gets the infection.

This talk is based on joint works with Shuta Nakajima (University of Basel) and Naoki Kubota (Nihon University).

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