Existence of multi-dimensional infinite volume self-organized critical forest-fire models

Electronic Journal of Probability

Volumn 11, Issue , 2006, Pages 513-539

  Dürre, Maximilian ^a  

^a UNIVERSITY OF MUNICH   (Germany)

Author keywords

Existence; Forest fire model; Forest fires; Self organized criticality; Well defined

Indexed keywords

EID: 33746037273     PISSN: None     EISSN: 10836489     Source Type: Journal    
DOI: 10.1214/EJP.v11-333     Document Type: Article

References (6)

1. J. van den Berg and R. Brouwer. Self-organized forest-fires near the critical time. ArXiv Mathematics e-prints, (arXiv:math/0412488), December 2004.
2. J. van den Berg and A. A. Jarai. On the asymptotic density in a one-dimensional selforganized critical forest-fire model. Comm. Math. Phys., 253(3):633-644, 2005.
3. R. Brouwer. Percolation, forest-fires and monomer-dimers (or the hunt for self-organised criticality). PhD thesis, VU Amsterdam, 2005.
4. Henrik Jeldtoft Jensen. Self-organized criticality, volume 10 of Cambridge Lecture Notes in Physics. Cambridge University Press, Cambridge, 1998. Emergent complex behavior in physical and biological systems.
5. Thomas M. Liggett. Interacting particle systems, volume 276 of Grundlehren der Mathema-tischen Wissenschaften [Fundamental Principles of Mathematical Sciences]. Springer-Verlag, New York, 1985.
6. Klaus Schenk, Barbara Drossel, and Franz Schwabl. Self-organized critical forest-fire model on large scales. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), 65(2):026135, 2002.