MATCHING WITH SHIFT FOR ONE-DIMENSIONAL GIBBS MEASURES
成果类型：
Article
署名作者：
Collet, P.; Giardina, C.; Redig, F.
署名单位：
Centre National de la Recherche Scientifique (CNRS); CNRS - Institute of Physics (INP); Institut Polytechnique de Paris; Ecole Polytechnique; Eindhoven University of Technology; Leiden University - Excl LUMC; Leiden University
刊物名称：
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN：
1050-5164
DOI：
10.1214/08-AAP588
发表日期：
2009
页码：
1581-1602
关键词：
摘要：
We consider matching with shifts for Gibbsian sequences. We prove that the maximal overlap behaves as clog it, where c is explicitly identified in terms of the thermodynamic quantities (pressure) of the underlying potential. Our approach is based on the analysis of the first and second moment of the number of overlaps of a given size. We treat both the case of equal sequences (and nonzero shifts) and independent sequences.