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).

UR - http://www.scopus.com/inward/record.url?scp=84861807602&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84861807602&partnerID=8YFLogxK

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 -