Multidimensional Random Polymers: A Renewal Approach

@article{Ioffe2015MultidimensionalRP,
  title={Multidimensional Random Polymers: A Renewal Approach},
  author={Dmitry Ioffe},
  journal={arXiv: Probability},
  year={2015},
  pages={147-210}
}
  • D. Ioffe
  • Published 30 November 2014
  • Materials Science
  • arXiv: Probability
In these lecture notes we discuss ballistic phase of quenched and annealed stretched polymers in random environment on \(\mathbb{Z}^{d}\) with an emphasis on the natural renormalized renewal structures which appear in such models. In the ballistic regime an irreducible decomposition of typical polymers leads to an effective random walk reinterpretation of the latter. In the annealed case the Ornstein-Zernike theory based on this approach paves the way to an essentially complete control on the… 

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