National Key R&D Program of China(2021YFF0701600 and 2022YFA1503702);National Natural Science Foundation of China(22325110,92256303,21821002,and 22171280);Strategic Priority Research Program of the Chinese Academy of Sciences(XDB0610000);Ningbo Natural Science Foundation(2022j017);Program of Shanghai Academic/Technology Research Leader(22XD1424900);CAS Youth Interdisciplinary Team(JCTD-2021-11).
Divergent synthesis of valuable molecules through common starting materials and metal catalysis represents a longstanding challenge and a significant research goal.We here describe chemodivergent,highly enantio-and re...
THIS is the last one of a series of three papers. Here, we discuss six topics related to the spectral gap: the gradient estimate, the heat kernel and Harnack inequality, the logarithmic Sobolev inequality, the converg...
THIS is the second one of a series of three reviews. The ideas introduced in the last review are used to study the estimate of spectral gap and four classes of typical eigenvalue problems on manifolds. The comparison ...
THIS is the first of a series of three reviews. They are partially surveys on three aspects: (ⅰ) explaining the main ideas of our recent application of the coupling method to the estimation of spectral gap, (ⅱ) intr...