TY - JOUR
T1 - Extremes of Some Gaussian Random Interfaces
AU - Chiarini, Alberto
AU - Cipriani, Alessandra
AU - Hazra, Rajat Subhra
PY - 2016/11/1
Y1 - 2016/11/1
N2 - In this article we give a general criterion for some dependent Gaussian models to belong to maximal domain of attraction of Gumbel, following an application of the Stein–Chen method studied in Arratia et al. (Ann Probab 17(1):9–25, 1989). We also show the convergence of the associated point process. As an application, we show the conditions are satisfied by some of the well-known supercritical Gaussian interface models, namely, membrane model, massive and massless discrete Gaussian free field, fractional Gaussian free field.
AB - In this article we give a general criterion for some dependent Gaussian models to belong to maximal domain of attraction of Gumbel, following an application of the Stein–Chen method studied in Arratia et al. (Ann Probab 17(1):9–25, 1989). We also show the convergence of the associated point process. As an application, we show the conditions are satisfied by some of the well-known supercritical Gaussian interface models, namely, membrane model, massive and massless discrete Gaussian free field, fractional Gaussian free field.
KW - Extremes
KW - Gaussian free field
KW - Interfaces
KW - Membrane model
KW - Stein–Chen method
UR - http://www.scopus.com/inward/record.url?scp=84990876579&partnerID=8YFLogxK
U2 - 10.1007/s10955-016-1634-5
DO - 10.1007/s10955-016-1634-5
M3 - Article
AN - SCOPUS:84990876579
SN - 0022-4715
VL - 165
SP - 521
EP - 544
JO - Journal of Statistical Physics
JF - Journal of Statistical Physics
IS - 3
ER -