Random Polymer Models

321 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

On the (strict) positivity of solutions of the stochastic heat equation (2012, background): “m is now reduced to estimate the local time at 0 for the walk Yi = S(1) i −S (2) i under the law P (2), which is a homogeneous pinning problem. Accordingly, we introduce some notions and results from [6]. Let zm(β) = E(2) h eβ P m i=1 1 Y i=0 i (34) . From [6] (1.6) and (2.12), it follows that there”
Localization and delocalization of random interfaces (2005, background): “Moreover, there is a very close connection between models of polymer chains and one-dimensional effective interface models; an excellent reference on polymers for probabilists is the book by Giacomin [62].”
Invariance principles for random walks conditioned to stay positive (2006, background): “The second application we present is in the context of random walk models for polymers and interfaces (see [22] and [28] for an overview).”