M-step Bootstrap Percolation on Z1
(2014) MASM01 20141Mathematical 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:
http://lup.lub.lu.se/student-papers/record/4431764
- author
- Pehrsson, Paul
- supervisor
- organization
- course
- MASM01 20141
- year
- 2014
- 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}}, }