Multidimensional SDEs with singular drift and universal construction of the polymer measure with white noise potential
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Publication:1647740
DOI10.1214/17-AOP1213zbMATH Open1407.60109arXiv1501.04751WikidataQ129985841 ScholiaQ129985841MaRDI QIDQ1647740
Author name not available (Why is that?)
Publication date: 26 June 2018
Published in: (Search for Journal in Brave)
Abstract: We study existence and uniqueness of solution for stochastic differential equations with distributional drift by giving a meaning to the Stroock-Varadhan martingale problem associated such equations. The approach we exploit is the one of paracontrolled distributions introduced in [13]. As a result we make sense of the three dimensional polymer measure with white noise potential.
Full work available at URL: https://arxiv.org/abs/1501.04751
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