On the irrelevant disorder regime of pinning models
نویسندگان
چکیده
منابع مشابه
On the Irrelevant Disorder Regime of Pinning
Recent results have lead to substantial progress in understanding the role of disorder in the (de)localization transition of polymer pinning models. Notably, there is an understanding of the crucial issue of disorder relevance and irrelevance that is now rigorous. In this work, we exploit interpolation and replica coupling methods to obtain sharper results on the irrelevant disorder regime of p...
متن کاملOn the Irrelevant Disorder Regime of Pinning Models Giambattista Giacomin and Fabio Lucio Toninelli
Recent results have lead to substantial progress in understanding the role of disorder in the (de)localization transition of polymer pinning models. Notably, there is an understanding of the crucial issue of disorder relevance and irrelevance that, albeit still partial, is now rigorous. In this work we exploit interpolation and replica coupling methods to get sharper results on the irrelevant d...
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The purpose of this paper is to show how one can extend some results on disorder relevance obtained for the random pinning model with i.i.d disorder to the model with finite range correlated disorder. In a previous work, the annealed critical curve of the latter model was computed, and equality of quenched and annealed critical points, as well as exponents, was proved under some conditions on t...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2009
ISSN: 0091-1798
DOI: 10.1214/09-aop454