A family of self-avoiding random walks interpolating the loop-erased random walk and a self-avoiding walk on the Sierpiński gasket-Reference-Cited by-同舟云学术

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A family of self-avoiding random walks interpolating the loop-erased random walk and a self-avoiding walk on the Sierpiński gasket

Published:2017 Issue:2 Volume:10 Page:289-311
ISSN:1937-1179
Container-title:Discrete & Continuous Dynamical Systems - S
language:en
Short-container-title:

Author:

Hattori Kumiko, ,Ogo Noriaki,Otsuka Takafumi

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference21 articles.

1. Branching Processes,;K. B. Athreya;Springer,1972

2. Brownian motion on the Sierpinski gasket,;M. T. Barlow;Probab. Theory Relat. Fields,1988

3. Self-repelling walk on the Sierpinski gasket,;B. Hambly;Probab. Theory Relat. Fields,2002

4. Fractal geometry of self-avoiding processes,;K. Hattori;J. Math. Sci. Univ. Tokyo,1996

5. Random Walks and Renormalization Group,;T. Hattori;Kyoritsu Publishing (in Japanese).

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The localization of quantum random walks on Sierpinski gaskets;Journal of Mathematical Physics;2022-01-01
2. A Multi-parameter Family of Self-avoiding Walks on the Sierpiński Gasket;Tokyo Journal of Mathematics;2021-03-01
3. Displacement exponent for loop-erased random walk on the Sierpiński gasket;Stochastic Processes and their Applications;2019-11

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