Back to Search
Start Over
The expected perimeter in Eden and related growth processes.
- Source :
-
Journal of Mathematical Physics . 2015, Vol. 56 Issue 12, p1-7. 7p. 2 Diagrams. - Publication Year :
- 2015
-
Abstract
- Following Richardson and using results of Kesten on first-passage percolation, we obtain an upper bound on the expected perimeter in an Eden growth process. Using results of the author from a problem in statistical mechanics, we show that the average perimeter of the lattice animals resulting from a very natural family of "growth histories" does not obey a similar bound. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00222488
- Volume :
- 56
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 112078846
- Full Text :
- https://doi.org/10.1063/1.4936210