Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
Online ISSN : 2188-4749
Print ISSN : 2188-4730
第45回ISCIE「確率システム理論と応用」国際シンポジウム(2013年11月, 沖縄)
Some basic properties of a rotor-router model with i.i.d. initial rotor-routers on the line
Yusuke IdeNorio KonnoMasato Takei
著者情報
ジャーナル フリー

2014 年 2014 巻 p. 303-306

詳細
抄録
The rotor-router model is a class of deterministic processes on graphs which can simulate the random walks. In this model, each vertex has a rotor-router which indicates the walker's movement. Every walker moves on the graph following the rotor-router's instructions. In this paper, we propose a model with independent and identically distributed initial rotor-routers on the line. We show limit theorems for the total time spent in the positive side and negative side of the line.
著者関連情報
© 2014 ISCIE Symposium on Stochastic Systems Theory and Its Applications
前の記事 次の記事
feedback
Top