Interface for one-dimensional random Kac potentials

Thierry Bodineau

Annales de l'I.H.P. Probabilités et statistiques (1997)

  • Volume: 33, Issue: 5, page 559-590
  • ISSN: 0246-0203

How to cite

top

Bodineau, Thierry. "Interface for one-dimensional random Kac potentials." Annales de l'I.H.P. Probabilités et statistiques 33.5 (1997): 559-590. <http://eudml.org/doc/77582>.

@article{Bodineau1997,
author = {Bodineau, Thierry},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {Gibbs fields; interface; metastability; random interactions},
language = {eng},
number = {5},
pages = {559-590},
publisher = {Gauthier-Villars},
title = {Interface for one-dimensional random Kac potentials},
url = {http://eudml.org/doc/77582},
volume = {33},
year = {1997},
}

TY - JOUR
AU - Bodineau, Thierry
TI - Interface for one-dimensional random Kac potentials
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1997
PB - Gauthier-Villars
VL - 33
IS - 5
SP - 559
EP - 590
LA - eng
KW - Gibbs fields; interface; metastability; random interactions
UR - http://eudml.org/doc/77582
ER -

References

top
  1. [1] P. Baldi, Large deviations and stochastic homogenization, Ann. Mat. Pura Applic., 132, 1988. Zbl0654.60024MR964508
  2. [2] T. Bodineau, Interface in a one-dimensional Ising spin system, Stoch. Proc. Appl., 61, 1996, pp. 1-23. Zbl0849.60091MR1378846
  3. [3] A. Bovier, V. Gayard and P. Picco, Large deviation principles for the Hopfield model and the Kac-Hopfield model., Prob. Theory Relat. Fields, 101, 1995, pp. 511-546. Zbl0826.60090MR1327224
  4. [4] A. Bovier, V. Gayard and P. Picco, Distribution of overlap profiles in the one-dimensional Kac-Hopfield model. Preprint 1996. 
  5. [5] M. Cassandro, E. Corlandi and E. Presutti, Interfaces and typical Gibbs configurations for one-dimensional Kac potentials, Prob. Theo. Relat. Fields, 96, 1993, pp. 57-96. Zbl0791.60096MR1222365
  6. [6] F. Comets, Large deviation estimates for a conditional probability distribution. Applications to random interaction Gibbs measures., Prob. Theo. Relat. Fields, 80, 1989, pp. 407-432. Zbl0638.60037MR976534
  7. [7] J.D. Deuschel and D. Stroock, Large deviations, San Diego, Academic Press, 1989. Zbl0705.60029MR997938
  8. [8] T. Eisele and R. Ellis, Symmetry breaking and random walks for magnetic systems on a circle, Z wahr. Verw. Geb., 63, 1983, pp. 297-348. Zbl0494.60097MR705628
  9. [9] R. Ellis, Entropy large deviations and stastical mechanics, Springer-Verlag, 1985. Zbl0566.60097MR793553
  10. [10] M.I. Freidlin and A.D. Wentzell, Random perturbations of dynamical systems, Springer-Verlag, 1983. Zbl0522.60055MR1652127
  11. [11] A. Galves, E. Olivieri and M.E. Vares, Metastability for a class of dynamical systems subject to small random perturbations, Ann. Prob., 1987, 87, pp. 1288-1305. Zbl0709.60058MR905332
  12. [12] R. Georgii, Gibbs measures and phase transitions, studies in mathematics, De Gruyter, 1988. Zbl0657.60122MR956646
  13. [13] J. Lebowitz and O. Penrose, Rigourous treatment of the Van der Waals-Maxwell theory of the liquid vapor transition, J. Math. Phys., 7, 1996, pp. 98-113. Zbl0938.82520MR187835
  14. [14] T. Seppäläinen, Entropy, limit theorems and variational principles for disordered lattice systems, Comm. math. Phys., 171, 1995, pp. 233-277. Zbl0835.60090MR1344727
  15. [15] B. Zegarlinski, Interactions and pressure functionals for disordered lattice systems., Comm. Math. Phys., 139, 1991, pp. 305-339. Zbl0747.58066MR1120141
  16. [16] B. Zegarlinski, Spin systems with long-range interactions, Reviews in Math. Phys., 6, 1994, pp. 115-134. Zbl0830.60099MR1263200

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.