A local limit theorem for directed polymers in random media : the continuous and the discrete case

Vincent Vargas

Annales de l'I.H.P. Probabilités et statistiques (2006)

  • Volume: 42, Issue: 5, page 521-534
  • ISSN: 0246-0203

How to cite

top

Vargas, Vincent. "A local limit theorem for directed polymers in random media : the continuous and the discrete case." Annales de l'I.H.P. Probabilités et statistiques 42.5 (2006): 521-534. <http://eudml.org/doc/77905>.

@article{Vargas2006,
author = {Vargas, Vincent},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {directed random polymers},
language = {eng},
number = {5},
pages = {521-534},
publisher = {Elsevier},
title = {A local limit theorem for directed polymers in random media : the continuous and the discrete case},
url = {http://eudml.org/doc/77905},
volume = {42},
year = {2006},
}

TY - JOUR
AU - Vargas, Vincent
TI - A local limit theorem for directed polymers in random media : the continuous and the discrete case
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2006
PB - Elsevier
VL - 42
IS - 5
SP - 521
EP - 534
LA - eng
KW - directed random polymers
UR - http://eudml.org/doc/77905
ER -

References

top
  1. [1] E. Bolthausen, A note on diffusion of directed polymers in a random environment, Comm. Math. Phys.123 (1989) 529-534. Zbl0684.60013MR1006293
  2. [2] P. Carmona, Y. Hu, On the partition function of a directed polymer in a random environment, Probab. Theory Related Fields124 (2002) 431-457. Zbl1015.60100MR1939654
  3. [3] F. Comets, N. Yoshida, Brownian directed polymers in random environment, Comm. Math. Phys.254 (2) (2004) 257-287. Zbl1128.60089MR2117626
  4. [4] F. Comets, T. Shiga, N. Yoshida, Probabilistic analysis of directed polymers in random environment, Stochastic analysis on scale interacting systems, in: Adv. Stud. Pure Math., vol. 39, Math. Soc. Japan, Tokyo, 2004, pp. 115-142. Zbl1114.82017MR2073332
  5. [5] F. Comets, N. Yoshida, Some new results on Brownian directed polymers in random environment, RIMS Kokyuroku1386 (2004) 50-66. MR2117626
  6. [6] D.A. Huse, C.L. Henley, Pinning and roughening of domain wall in Ising systems due to random impurities, Phys. Rev. Lett.54 (1985) 2708-2711. 
  7. [7] J.Z. Imbrie, T. Spencer, Diffusion of directed polymer in a random environment, J. Statist. Phys.52 (3/4) (1988) 609-626. Zbl1084.82595MR968950
  8. [8] H. Krug, H. Spohn, Kinetic roughening of growing surfaces, in: Godrèche C. (Ed.), Solids Far from Equilibrium, Cambridge University Press, 1991. 
  9. [9] G.F. Lawler, Intersections of Random Walks, Probab. Appl., Birkhäuser, 1991. Zbl0925.60078MR1117680
  10. [10] Y. Sinai, A remark concerning random walks with random potentials, Fund. Math.147 (1995) 173-180. Zbl0835.60062MR1341729
  11. [11] R. Song, X.Y. Zhou, A remark on diffusion of directed polymers in random environment, J. Statist. Phys.85 (1/2) (1996) 277-289. Zbl0924.60053MR1413246
  12. [12] A.S. Sznitman, Brownian Motion, Obstacles and Random Media, Springer Monogr. Math., Springer, 1998. Zbl0973.60003MR1717054
  13. [13] W. Woess, Random Walks on Infinite Graphs and Groups, Cambridge University Press, 2000. Zbl0951.60002MR1743100

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.