Speed and fluctuations for some driven dimer models
Annales de l’Institut Henri Poincaré D, Tome 6 (2019) no. 4, pp. 489-532.

We consider driven dimer models on the square and honeycomb graphs, starting from a stationary Gibbs measure. Each model can be thought of as a two dimensional stochastic growth model of an interface, belonging to the anisotropic KPZ universality class. We use a combinatorial approach to determine the speed of growth and show logarithmic growth in time of the variance of the height function.

Accepté le :
Publié le :
DOI : 10.4171/aihpd/77
Classification : 05-XX, 60-XX, 82-XX
Mots-clés : Random surfaces, interacting particle systems, random tilings, limit shapes, determinantal processes, Kasteleyn matrices 
@article{AIHPD_2019__6_4_489_0,
     author = {Chhita, Sunil and Ferrari, Patrik L. and Toninelli, Fabio L.},
     title = {Speed and  fluctuations for some driven dimer models},
     journal = {Annales de l{\textquoteright}Institut Henri Poincar\'e D},
     pages = {489--532},
     volume = {6},
     number = {4},
     year = {2019},
     doi = {10.4171/aihpd/77},
     mrnumber = {4033679},
     zbl = {1431.05036},
     language = {en},
     url = {https://www.numdam.org/articles/10.4171/aihpd/77/}
}
TY  - JOUR
AU  - Chhita, Sunil
AU  - Ferrari, Patrik L.
AU  - Toninelli, Fabio L.
TI  - Speed and  fluctuations for some driven dimer models
JO  - Annales de l’Institut Henri Poincaré D
PY  - 2019
SP  - 489
EP  - 532
VL  - 6
IS  - 4
UR  - https://www.numdam.org/articles/10.4171/aihpd/77/
DO  - 10.4171/aihpd/77
LA  - en
ID  - AIHPD_2019__6_4_489_0
ER  - 
%0 Journal Article
%A Chhita, Sunil
%A Ferrari, Patrik L.
%A Toninelli, Fabio L.
%T Speed and  fluctuations for some driven dimer models
%J Annales de l’Institut Henri Poincaré D
%D 2019
%P 489-532
%V 6
%N 4
%U https://www.numdam.org/articles/10.4171/aihpd/77/
%R 10.4171/aihpd/77
%G en
%F AIHPD_2019__6_4_489_0
Chhita, Sunil; Ferrari, Patrik L.; Toninelli, Fabio L. Speed and  fluctuations for some driven dimer models. Annales de l’Institut Henri Poincaré D, Tome 6 (2019) no. 4, pp. 489-532. doi : 10.4171/aihpd/77. https://www.numdam.org/articles/10.4171/aihpd/77/

Cité par Sources :