Bootstrap percolation

In statistical mechanics, bootstrap percolation is a percolation process in which a random initial configuration of active cells is selected from a…

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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.

2015

Behavioral Intervention and Non-Uniform Bootstrap Percolation

Peter BallenS. Guha
arXiv.org
2015
Corpus ID: 1451567

Bootstrap percolation is an often used model to study the spread of diseases, rumors, and information on sparse random graphs…

2014

M-step Bootstrap Percolation on Z1

P. Pehrsson
2014
Corpus ID: 120471540

We study an extended bootstrap percolation process in several steps in dimension one, assuming noncyclic boundary conditions. We…

2014

Low Threshold Bootstrap Percolation on the Hamming Torus

Erik Slivken
2014
Corpus ID: 120128546

This paper analyzes various questions pertaining to bootstrap percolation on the $d$-dimensional Hamming torus where each node is…

2012

Generalized bootstrap percolation

B. BollobásPaul SmithAndrew J. Uzzell
2012
Corpus ID: 118053307

In this paper we introduce generalized bootstrap processes on $\Z^2$ with local, homogeneous, monotone update rules of any kind…

2012

Bootstrap percolation on bipartite networks

万宝惠张鹏张晶狄增如樊瑛
2012
Corpus ID: 125691326

靴襻渗流最早应用于统计物理学中研究磁铁因非磁性杂质导致磁有序的降低并最终消失的现象.随着复杂网络研究的深入,许多学者展开网络上的靴襻渗流研究.在自然界中,许多系统自然呈现出二分结构,二分网络是复杂网络中的一种重要的网络模式.本文通过建立动力学方程和计算机仿真模拟的方法研究二分网上的靴襻渗流,关注的参数是二分网中两类节点初始的活跃比例和活跃阈值,分别用f 1 ,f 2 和Ω 1 ,Ω 2 表示,得到二分网两类节点终态活跃比例随初始活跃比例的变化会发生相变等结论.同时验证了动力学方程与仿真模拟的一致性.

2009

Local Bootstrap Percolation