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Matching with shift for one-dimensional Gibbs measures

Year: 2009

Type: article

Abstract: We consider matching with shifts for Gibbsian sequences. We prove that the maximal overlap behaves as c log n, 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.

Source: The Annals of Applied Probability

DOI: 10.1214/08-aap588

Authors: P. Collet, C. Giardina, F. Redig

Institutions: Leiden University, Centre National de la Recherche Scientifique, Centre de Physique Théorique

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2081560824

FWCI:

Cites: 14

Cited by: 3

Related to: 10