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

Alain-Sol Sznitman

Annales scientifiques de l'École Normale Supérieure (1995)

  • Volume: 28, Issue: 3, page 371-390
  • ISSN: 0012-9593

How to cite

top

Sznitman, Alain-Sol. "Annealed Lyapounov exponents and large deviations in a poissonian potential. II." Annales scientifiques de l'École Normale Supérieure 28.3 (1995): 371-390. <http://eudml.org/doc/82387>.

@article{Sznitman1995,
author = {Sznitman, Alain-Sol},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {large deviations; rate function; Brownian motion; Poissonian potential},
language = {eng},
number = {3},
pages = {371-390},
publisher = {Elsevier},
title = {Annealed Lyapounov exponents and large deviations in a poissonian potential. II},
url = {http://eudml.org/doc/82387},
volume = {28},
year = {1995},
}

TY - JOUR
AU - Sznitman, Alain-Sol
TI - Annealed Lyapounov exponents and large deviations in a poissonian potential. II
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1995
PB - Elsevier
VL - 28
IS - 3
SP - 371
EP - 390
LA - eng
KW - large deviations; rate function; Brownian motion; Poissonian potential
UR - http://eudml.org/doc/82387
ER -

References

top
  1. [1] J. D. DEUSCHEL and D. W. STROOCK, Large deviations (Academic Press, Boston 1989). Zbl0705.60029MR90h:60026
  2. [2] 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
  3. [3] T. EISELE and R. LANG, Asymptotics for the Wiener sausage with drift (Prob. Th. Rel. Fields, Vol. 74, 1, 1987, pp. 125-140). Zbl0586.60076MR88e:60046
  4. [4] R. S. ELLIS, Entropy, large deviations, and statistical mechanics (Springer, New York, 1985). Zbl0566.60097
  5. [5] P. GRASSBERGER and I. PROCACCIA, Diffusion and drift in a medium with randomly distributed traps (Phys. Rev., Vol. A26, 1982, pp. 3686-3688). 
  6. [6] A. S. SZNITMAN, On long excursions of Brownian motion among Poissonian obstacles, in Stochastic Analysis, M. Barlow and N. Bingham, eds. (London Math. Soc., Lecture Note Series, Cambridge University Press, 1991, pp. 353-375). Zbl0760.60027MR93e:60167
  7. [7] A. S. SZNITMAN, Brownian survival among Gibbsian traps (Ann. Probab., Vol. 21, 1, 1993, pp. 490-508). Zbl0769.60104MR94d:60157
  8. [8] A. S. SZNITMAN, Brownian asymptotics in a Poissonian environment (Probab. Th. Rel. Fields, Vol. 95, 1993, pp. 155-174). Zbl0792.60100MR94c:60173
  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
  11. [11] A. S. SZNITMAN, Annealed Lyapounov exponents and large deviations in a Poissonian potential I (Ann. Scient. Éc. Norm. Sup. 4e Série, t. 28, 1995, pp. 345-370). Zbl0826.60018MR97a:60109
  12. [12] A. S. SZNITMAN, Brownian motion and obstacles, First European Congress of Mathematics, Ed. A. Joseph, F. Mignot, F. Murat, B. Prum and R. Rentschler, 1994, pp. 225-248, Birkhäuser, Basel (preprint). Zbl0815.60077MR96d:60125

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.