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. © Institute of Mathematical Statistics, 2009.

Matching with shift for one-dimensional Gibbs measures / Giardina', Cristian; P., Collet; F., Redig. - In: THE ANNALS OF APPLIED PROBABILITY. - ISSN 1050-5164. - STAMPA. - 19:4(2009), pp. 1581-1602. [10.1214/08-AAP588]

Matching with shift for one-dimensional Gibbs measures

GIARDINA', Cristian;
2009

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. © Institute of Mathematical Statistics, 2009.
2009
19
4
1581
1602
Matching with shift for one-dimensional Gibbs measures / Giardina', Cristian; P., Collet; F., Redig. - In: THE ANNALS OF APPLIED PROBABILITY. - ISSN 1050-5164. - STAMPA. - 19:4(2009), pp. 1581-1602. [10.1214/08-AAP588]
Giardina', Cristian; P., Collet; F., Redig
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/639597
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