Annealed Lyapounov exponents and large deviations in a poissonian potential. I

 Access to full text

 Full (PDF)

1. [1] E. BOLTHAUSEN E., A note on the diffusion of directed polymers in a random environment (Comm. Math. Phys., Vol. 123, 1989, pp. 529-534). Zbl0684.60013MR91a:60270
2. [2] E. B. DAVIES, Analysis on graphs and non commutative geometry (J. Funct. Anal., Vol. 111, 1993, pp. 398-430). Zbl0793.46043MR93m:58110
3. [3] J. D. DEUSCHEL and D. W. STROOCK, Large Deviations (Academic Press, Boston, 1989). Zbl0705.60029MR90h:60026
4. [4] M. D. DONSKER and S. R. S. VARADHAN, Asymptotics for the Wiener sausage (Comm. Pure Appl. Math., Vol. 28, 1975, pp. 525-565). Zbl0333.60077MR53 #1757a
5. [5] H. KESTEN, Aspects of first passage percolation, Ecole d'été de Probabilités de St Flour (Lect. Notes in Math., Vol. 1180, 1986, pp. 125-264, Springer, Berlin). Zbl0602.60098MR88h:60201
6. [6] P. LI and S. T. YAU, On the parabolic kernel of the Schrödinger operator (Acta Mathematica, Vol. 156, 1986, pp. 153-201). Zbl0611.58045MR87f:58156
7. [7] B. SIMON, Schrödinger semigroups (Bull. Am. Math. Soc., Vol. 7, 1986, pp. 447-526). Zbl0524.35002MR86b:81001a
8. [8] A. S. SZNITMAN, On long excursions of Brownian motion among Poissonian obstacles in Stochastic Analysis (M. Barlow, N. Brigham, ed., London Math. Soc., Lecture Note Series, Cambridge University Press, 1991, pp. 353-375). Zbl0760.60027MR93e:60167
9. [9] A. S. SZNITMAN, Brownian motion with a drift in a Poissonian potential (Comm. Pure Appl. Math., Vol. 47, 10, 1994, pp. 1283-1318). Zbl0814.60021MR95m:60122
10. [10] A. S. SZNITMAN, Shape theorem, Lyapounov exponents and large deviations for Brownian motion in a Poissonian potential (Comm. Pure Appl. Math., Vol. 47, 12, 1994, pp. 1655-1688). Zbl0814.60022MR96b:60217

1. Tobias Povel, The one dimensional annealed δ-Lyapounov exponent
2. N. Zygouras, Strong disorder in semidirected random polymers
3. Alain-Sol Sznitman, Annealed Lyapounov exponents and large deviations in a poissonian potential. II