A two-species competition model on ℤd

Stochastic Processes and their Applications

Volumn 115, Issue 5, 2005, Pages 781-796

  Kordzakhia, George ^a   Lalley, Steven P ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF CHICAGO   (United States)

Author keywords

Coexistence; First passage percolation; Shape theorem

Indexed keywords

COMPUTER SIMULATION; PROBABILITY; RANDOM PROCESSES; SET THEORY; THEOREM PROVING;

COEXISTENCE; FIRST PASSAGE PERCOLATION; SHAPE THEOREM; STOCHASTIC COMPETITION MODEL;

MATHEMATICAL MODELS;

EID: 16244369119     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spa.2004.12.003     Document Type: Article

References (8)

1. K.S. Alexander A note on some rates of convergence in first-passage percolation Ann. Appl. Probab. 3 1993 81-90
2. J.T. Cox R. Durrett Some limit theorems for percolation processes with necessary and sufficient conditions Ann. Probab. 9 1981 583-603
3. R. Durrett, Lecture Notes on Particle Systems and Percolation, Wadsworth, Belmont, CA, 1988, pp. 1-325.
4. O. Häggström R. Pemantle First passage percolation and a model for competing spatial growth J. Appl. Probab. 35 1998 683-692
5. H. Kesten On the speed of convergence in first-passage percolation Ann. Appl. Probab. 3 1993 296-338
6. S. Lalley Strict convexity of the limit shape in first-passage percolation Electron. Commun. Probab. 8 2003 135-141
7. T. Liggett Interacting Particle System 1985 Springer New York
8. D. Richardson Random growth in tessellation Proceedings of the Cambridge Philosophical Society 74 1973 515-528