We consider a hierarchical pinning model introduced by B. Derrida, V. Hakim and J. Vannimenus which undergoes a localization/delocalization phase transition. This model depends on two parameters $b$ and $s$. We show that in the particular case where $b \eq s$, the disorder is weakly relevant, in the sense that at any given temperature, the quenched and the annealed critical points coincide. This is in contrast with the case where $b \neq s$.
Keywords: Hierarchical Models, Quadratic Recurrence Equations, Pinning Models Mathematics
Original language | English |
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Place of Publication | Eindhoven |
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Publisher | Eurandom |
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Number of pages | 8 |
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Publication status | Published - 2014 |
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Name | Report Eurandom |
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Volume | 2014016 |
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ISSN (Print) | 1389-2355 |
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