TY - GEN
T1 - On the delocalized phase of the random pinning model
AU - Mourrat, Jean Christophe
PY - 2012
Y1 - 2012
N2 - We consider the model of a directed polymer pinned to a line of i.i.d. random charges, and focus on the interior of the delocalized phase. We first show that in this region, the partition function remains bounded. We then prove that for almost every environment of charges, the probability that the number of contact points in [0, n] exceeds clogn tends to 0 as n tends to infinity. The proofs rely on recent results of Birkner, Greven, den Hollander (2010) and Cheliotis, den Hollander (2010).
AB - We consider the model of a directed polymer pinned to a line of i.i.d. random charges, and focus on the interior of the delocalized phase. We first show that in this region, the partition function remains bounded. We then prove that for almost every environment of charges, the probability that the number of contact points in [0, n] exceeds clogn tends to 0 as n tends to infinity. The proofs rely on recent results of Birkner, Greven, den Hollander (2010) and Cheliotis, den Hollander (2010).
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U2 - 10.1007/978-3-642-27461-9_18
DO - 10.1007/978-3-642-27461-9_18
M3 - Conference contribution
AN - SCOPUS:84861807602
SN - 9783642274602
T3 - Lecture Notes in Mathematics
SP - 401
EP - 407
BT - Seminaire de Probabilites XLIV
PB - Springer Verlag
ER -