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M-step Bootstrap Percolation on Z1

Pehrsson, Paul (2014) MASM01 20141
Mathematical Statistics
Abstract (Swedish)
We study an extended bootstrap percolation process in several steps in dimension
one, assuming noncyclic boundary conditions. We study the asymptotic
behavior of the process as the size of the underlying graph goes to
innity. We nd a phase transition with respect to the initial conditions.
The phase diagram on the set of initial conditionals of the extended process
is described completely. This provides necessary and sucient conditions
for complete percolation of the extended process.
Please use this url to cite or link to this publication:
author
Pehrsson, Paul
supervisor
organization
course
MASM01 20141
year
type
H2 - Master's Degree (Two Years)
subject
language
English
id
4431764
date added to LUP
2014-04-30 12:16:40
date last changed
2018-02-08 14:00:10
@misc{4431764,
  abstract     = {{We study an extended bootstrap percolation process in several steps in dimension
one, assuming noncyclic boundary conditions. We study the asymptotic
behavior of the process as the size of the underlying graph goes to
innity. We nd a phase transition with respect to the initial conditions.
The phase diagram on the set of initial conditionals of the extended process
is described completely. This provides necessary and sucient conditions
for complete percolation of the extended process.}},
  author       = {{Pehrsson, Paul}},
  language     = {{eng}},
  note         = {{Student Paper}},
  title        = {{M-step Bootstrap Percolation on Z1}},
  year         = {{2014}},
}