演講公告

演講主題：Random Operator Theory: Some Results and More Questions
主講人：方向教授(中央大學數學系)
演講日期：2019年3月19日(星期二) 14:00 –15:00
演講地點：(光復校區) 科學一館223室
茶會時間：當天下午1:30 (科學一館205室)
摘要內容：
Abstract. Random Matrix Theory (RMT) has evolved into a remarkably sophisticated subject, yet much less is known for its infinite dimensional counterpart, namely, Random Operator Theory (ROT). Moreover, our knowledge on ROT so far is devoted (almost) exclusively to self-adjoint and unbounded differential operators, such as random Schrodinger operators. A theory for non-selfadjoint and bounded ROT is largely missing so far. This report is on some of our initial efforts to explore this untapped area. In particular, we introduce and study a clearly fundamental yet unexplored model, which we call “random weighted shifts”. Other models, such as random Hardy/Bergman spaces, random Toeplitz operators, random coefficient multipliers, random Carleson measures, etc., are proposed, but we have more questions than answers.

(Joint work with Cheng Guozheng and Zhu Sen.)
相關檔案：Talk_1080319.pdf

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