【115/5/21】13:30-15:00 Prof. Yu-Ting Chen (Department of Mathematics and Statistics, University of Victoria, Canada)
| Probability Seminar | |
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| Time | 2026-5-21 13:30-15:00 |
| Venue | 31301, Department of Mathematics |
| Speaker | Prof. Yu-Ting Chen (Department of Mathematics and Statistics, University of Victoria, Canada) |
| Title | Continuum Directed Polymers in Random Media and Some Critical Behavior |
| 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 introduce the fundamental concepts of continuum directed polymers in random media and will emphasize their behavior as three-dimensional curves towards the conclusion. Some key methods relevant to the three-dimensional case will also be discussed. |
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