Localization of directed polymers in continuous space

@article{Bakhtin2020LocalizationOD,
  title={Localization of directed polymers in continuous space},
  author={Yuri Bakhtin and Donghyun Seo},
  journal={Electronic Journal of Probability},
  year={2020}
}
The first main goal of this article is to give a new metrization of the Mukherjee--Varadhan topology, recently introduced as a translation-invariant compactification of the space of probability measures on Euclidean spaces. This new metrization allows us to achieve our second goal which is to extend the recent program of Bates and Chatterjee on localization for the endpoint distribution of discrete directed polymers to polymers based on general random walks in Euclidean spaces. Following their… 
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