標(biāo)題：Quantum stadium and its spectral rigidity
報(bào)告時(shí)間：2024年04月19日（星期五）14:30-15:30
報(bào)告地點(diǎn)：人民大街校區(qū)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院104教室
主講人：張宏坤
主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院
報(bào)告內(nèi)容簡(jiǎn)介：
In the realm of quantum physics, the concept of quantum billiards provides a compelling framework for exploring the fundamental principles governing quantum systems confined within specific geometric boundaries. This talk delves into the dynamical spectral rigidity of the Bunimovich stadium, a pivotal aspect of quantum chaos theory. The discussion will continue to the future direction of our research, specifically focusing on the pursuit of quantum unique ergodicity. This exploration not only sheds light on the behavior of quantum billiard systems but also sets the stage for further investigations into the quantum mechanical properties of complex systems, marking a significant step forward in our understanding of quantum chaos.
主講人簡(jiǎn)介：
張宏坤，美國(guó)麻省大學(xué)阿默斯特分校教授，是研究雙曲動(dòng)力學(xué)系統(tǒng)（包括混沌臺(tái)球）統(tǒng)計(jì)特性的專(zhuān)家，在這一領(lǐng)域做出了許多有意義的工作，在《 Comm. Math. Phys.》(10篇)，《 Trans. Amer. Math. Soc.》等國(guó)際權(quán)威雜志上發(fā)表論文50余篇。近年來(lái)，張宏坤教授的研究興趣集中在動(dòng)力系統(tǒng)和機(jī)器學(xué)習(xí)的交叉領(lǐng)域，取得了一些有意義的研究成果，其中與我校師生合作發(fā)表在 《Appl. Comput. Harmon. Anal.》，《IEEE Trans. Signal Inform. Process. Netw.》，《Physical Review Research》上的研究論文，受到國(guó)內(nèi)外一些知名學(xué)者的引用和關(guān)注。
