Open AccessA model of continuous time polymer on the lattice
Author(s) -
David MárquezCarreras,
Carles Rovira,
Samy Tindel
Publication year - 2011
Publication title -
communications on stochastic analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.224
H-Index - 10
eISSN - 2688-6669
pISSN - 0973-9599
DOI - 10.31390/cosa.5.1.07
Subject(s) - lattice (music) , polymer , statistical physics , materials science , physics , composite material , acoustics
In this article, we try to give a rather complete picture of the behavior of the free energy for a model of directed polymer in a random environment, in which the polymer is a simple symmetric random walk on the lattice Zd, and the environment is a collection {W (t, x); t ≥ 0, x ∈ Zd} of i.i.d. Brownian motions.
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