演講公告
新聞標題: ( 2026-04-22 )
演講主題:Continuum directed polymers in random media in (2+1)-dimensions
主講人:Professor Yu-Ting Chen (University of Victoria)
演講日期:2026年5月5日(二) 14:00 –15:00
演講地點:(光復校區) 科學一館213室
摘要內容:
Abstract. The heat equation with a random potential driven by space-time white noise serves as a basic model for continuum directed polymers in random media, a topic of longstanding interest in the physics literature. While this model generates systems exhibiting scale invariance and universality, establishing their fundamental properties has posed deep mathematical challenges. In particular, although classical stochastic analysis can construct the corresponding Gibbs measures for polymers as two-dimensional curves, extending these results to three dimensions introduces substantial complexity due to the critical, non-Gaussian behaviour.
This talk will present the basic ideas of continuum directed polymers in random media, focusing on their behaviour as three-dimensional curves.相關檔案:Talk_1150505.pdf
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