Polluted Bootstrap Percolation with Threshold Two in All Dimensions

Probability Theory and Related Fields, pp. 467.0-486.0, 2018.

Cited by: 2|Views0


In the polluted bootstrap percolation model, the vertices of a graph are independently declared initially occupied with probability p or closed with probability q. At subsequent steps, a vertex becomes occupied if it is not closed and it has at least r occupied neighbors. On the cubic lattice \({\mathbb {Z}}^d\) of dimension \(d\ge 3\) wi...More



Get fulltext within 24h
Upload PDF

1.Your uploaded documents will be check within 24h, and coins will be credited to your account.

2.As the current system does not support cash withdrawal, you can add staff WeChat (AMxiaomai) to receive it as a red packet.

3.10 coins will be exchanged for 1 yuan.


Upload a single paper

for 5 coins

Wechat's Red Packet

Upload 50 articles

for 280 coins

Wechat's Red Packet

Upload 200 articles

for 1200 coins

Wechat's Red Packet

Upload 500 articles

for 3000 coins

Wechat's Red Packet

Upload 1000 articles

for 7000 coins

Wechat's Red Packet
Your rating :