Mathematics of random growing interfaces

Journal of Physics A: Mathematical and General

Volumn 34, Issue 32, 2001, Pages 6239-6247

  Penrose, Mathew D ^a,b   Yukich, J E ^a,b  

^a DURHAM UNIVERSITY   (United Kingdom)

^b LEHIGH UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035903075     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/32/303     Document Type: Article

References (11)

1. Barabási A-L and Stanley H E 1995 Fractal Concepts in Surface Growth (Cambridge: Cambridge University Press)
2. Cumberland D J and Crawford R J 1987 The packing of particles Handbook of Powder Technology vol 6 (Amsterdam: Elsevier)
3. Edwards S F and Wilkinson D R 1982 The surface statistics of a granular aggregate Proc. R. Soc. A 381 17-31
4. Family F 1986 Scaling of rough surfaces: effects of surface diffusion J. Phys. A: Math. Gen. 19 L441-6
5. Family F and Vicsek T 1985 Scaling of the active zone in the Eden process on percolation networks and the ballistic deposition model J. Phys. A: Math. Gen. 18 L75-81
6. Kardar M, Parisi G and Zhang Y 1986 Dynamic scaling of growing interfaces Phys. Rev. Lett. 56 889-92
7. Penrose M D 2001 A spatial central limit theorem with applications to percolation, epidemics and Boolean models Ann. Probab. at press
8. Penrose M D 2001 Limit theorems for monotonic particle systems and sequential deposition Preprint University of Durham
9. Penrose M D and Yukich J E 2001 Limit theory for random sequential packing and deposition Ann. Appl. Probab. at press
10. Vicsek T 1989 Fractal Growth Phenomena (Singapore: World Scientific)
11. Zabolitzky J G and Stauffer D 1986 Simulation of large Eden clusters Phys. Rev. A 34 1523-30