Distance fluctuations and Lyapounov exponents

Annals of Probability

Volumn 24, Issue 3, 1996, Pages 1507-1530

  Sznitman, Alain Sol ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

Brownian motion; Fluctuations; Lyapounov norms; Poissonian potential; Random metrics

Indexed keywords

EID: 0030372589     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1065725191     Document Type: Article

References (13)

1. ALEXANDER, K. S. (1993). A note on some rates of convergence in first passage percolation. Ann. Appl. Probab. 3 81-90.
2. ALEXANDER, K. S. (1996). Approximation of subadditive functions and convergence rates in limiting shape results. Ann. Probab. 25(1).
3. BOLTHAUSEN, E. (1989). A note on the diffusion of directed polymers in a random environment. Comm. Math. Phys. 123 529-534.
4. CHUNG, K. L. (1982). Lectures from Markov Processes to Brownian Motion. Springer, New York.
5. COX, J. T., GANDOLFI, A., GRIFFIN, P. S. and KESTEN, H. (1993). Greedy lattice animals I: upperbounds. Ann. Appl. Probab. 3 1151-1169.
6. HAMMERSLEY, J. M. (1962). Generalization of the fundamental theorem on subadditive functions. Proc. Cambridge Phil. Soc. 88 167-170.
7. KESTEN, H. (1986). Aspects of first passage percolation. Ecole d'été de Probabilitiés de St. Flour. Lecture Notes in Math. 1180 125-264. Springer, Berlin.
8. KESTEN, H. (1993). On the speed of convergence in first passage percolation. Ann. Appl. Probab. 3 296-338.
9. KRUG, J. and SPOHN, H. (1991). Kinetic roughening of growing surfaces. In Solids Far From Equilibrium (C. Godrèche, ed.) 479-582. Cambridge Univ. Press.
10. NEWMAN, C. M. (1995). A surface view of first passage percolation. Preprint.
11. NEWMAN, C. M. and PIZA, M. S. T. (1995). Divergence of shape fluctuations. Ann. Probab. 23 977-1005.
12. SZNITMAN, A. S. (1994). Shape theorem, Lyapounov exponents and large deviations for Brownian motion in Poissonian potential. Comm. Pure Appl. Math. 47 1655-1688.
13. SZNITMAN, A. S. (1995). Crossing velocities and random lattice animals. Ann. Probab. 23 1006-1023.