Disorder relevance for the random walk pinning model in dimension 3
نویسندگان
چکیده
منابع مشابه
On the critical point of the Random Walk Pinning Model in dimension d = 3 ∗ Quentin
We consider the RandomWalk Pinning Model studied in [3] and [2]: this is a random walk X on Z d , whose law is modified by the exponential of β times LN (X ,Y ), the collision local time up to time N with the (quenched) trajectory Y of another d-dimensional random walk. If β exceeds a certain critical value βc , the two walks stick together for typical Y realizations (localized phase). A natura...
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
سال: 2011
ISSN: 0246-0203
DOI: 10.1214/10-aihp374