RELATIONSHIPS BETWEEN GROWTH CONSTANTS FOR ANIMALS AND TREES

Authors
GAUNT DS PEARD PJ SOTEROS CE WHITTINGTON SG
Citation
Ds. Gaunt et al., RELATIONSHIPS BETWEEN GROWTH CONSTANTS FOR ANIMALS AND TREES, Journal of physics. A, mathematical and general, 27(22), 1994, pp. 7343-7351
Citations number
15
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
27
Issue
22
Year of publication
1994
Pages
7343 - 7351
Database
ISI
SICI code
0305-4470(1994)27:22<7343:RBGCFA>2.0.ZU;2-W
Abstract
We consider the growth constants of several types of animals on d-dime nsional hypercubic lattices. A combination of rigorous inequalities an d 1/d-expansions leads us to conjecture a strict ordering of these gro wth constants. These results are useful in the analysis of models of b ranched polymer behavior.