Fluctuations of a surface submitted to a random average process

Electronic Journal of Probability

Volumn 3, Issue , 1998, Pages

  Ferrari, P A ^a   Fontes, L R G ^a  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

Linear process; Product of random matrices; Random average process; Random surfaces; Smoothing process; Voter model

Indexed keywords

EID: 0002062143     PISSN: 10836489     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. E. Andjel (1985) Invariant measures and long time behaviour of the smoothing process. Ann. Probab. 13 1:62-71.
2. R. Durrett (1996) Stochastic Spatial Models. PCMI Lecture Notes, IAS, Princeton.
3. P.A. Ferrari (1996) Limit theorems for tagged particles. Markov Processes Relat. Fields 2 17-40.
4. P. Hall and C. C. Heyde (1980) Martingale limit theory and its application. Probability and Mathematical Statistics. Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1980.
5. Hammersley, J. M. (1967) Harnesses. Proc. Fifth Berkeley Sympos. Mathematical Statistics and Probability (Berkeley, Calif., 1965/66), Vol. III: Physical Sciences, 89-117 Univ. California Press, Berkeley, Calif.
6. C. Kipnis, C. Marchioro and E. Presutti (1982) Heat flow in an exactly solvable model. J. Statist. Phys. 27 1:65-74.
7. T. M. Liggett and F. Spitzer (1981) Ergodic theorems for coupled random walks and other systems with locally interacting components. Z. Wahrsch. Verw. Gebiete 56 4:443-468.
8. T. M. Liggett (1985). Interacting Particle Systems. Springer, Berlin.
9. F. Spitzer (1964) Principles of Random Walk, Academic Press.
10. A. Toom (1998) Tails in harnesses J. Statist. Phys. 27 To appear.