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个人简介
Research Interests
I am interested in many aspects of probability theory and its applications. My earlier work was centered around filtering theory and the theory of large deviations, and then I became interested in motion in random media, path properties of random walk and Brownian motion, and random matrices. In recent years, I have focused on the study of logarithmic correlated fields and their extremes. A prototype of such fields is the two-dimensional Gaussian free field, but they show up also in the study of random matrices, the study of planar Brownian motion and random walk, and the study of random polynomials. Another topic of recent interest is the study of non-Normal matrices under small perturbations, where instability phenomena are common. Other current research interests involve the study of the cover time of planar graphs by random walk, and two dimensional random walk in random environment.
I am interested in many aspects of probability theory and its applications. My earlier work was centered around filtering theory and the theory of large deviations, and then I became interested in motion in random media, path properties of random walk and Brownian motion, and random matrices. In recent years, I have focused on the study of logarithmic correlated fields and their extremes. A prototype of such fields is the two-dimensional Gaussian free field, but they show up also in the study of random matrices, the study of planar Brownian motion and random walk, and the study of random polynomials. Another topic of recent interest is the study of non-Normal matrices under small perturbations, where instability phenomena are common. Other current research interests involve the study of the cover time of planar graphs by random walk, and two dimensional random walk in random environment.
研究兴趣
论文共 323 篇作者统计合作学者相似作者
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ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUESno. 2 (2024): 1077-1089
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUESno. 1 (2024): 113-125
arxiv(2024)
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ELECTRONIC JOURNAL OF PROBABILITYno. none (2024): 1-36
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICSno. 5 (2024): 2778-2859
PHYSICAL REVIEW LETTERSno. 23 (2023): 237103
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS (2023)
ANNALS OF APPLIED PROBABILITYno. 2 (2023): 1315-1368
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