For a set of i.i.d.r.v. indexed by positive integer d-dimensional lattice points, and for some general normalizing sequence, we determine necessary and sufficient conditions for the law of iterated logarithm. As its a...For a set of i.i.d.r.v. indexed by positive integer d-dimensional lattice points, and for some general normalizing sequence, we determine necessary and sufficient conditions for the law of iterated logarithm. As its application, we give conditions for the existence of moments of the supremum of normed partial sums.展开更多
Skipped polyol is a common motif in numerous biologically significant polyketides and has been the focus of the development of novel synthetic methods and strategies. In this work, we devised a highly diastereoselecti...Skipped polyol is a common motif in numerous biologically significant polyketides and has been the focus of the development of novel synthetic methods and strategies. In this work, we devised a highly diastereoselective approach to access skipped triol(anti,syn-isomer) from a chiral α-allenic alcohol which was derived from kinetic resolution in our previous studies. An iodolactonization and subsequent radical deiodonation efficiently introduced the hydroxyl group at C3 in a highly diastereoselective manner and exemplified in enantioselective total synthesis of (+)-yashabushitriol.展开更多
基金the National Natural Science Foundation of China(10271120)
文摘For a set of i.i.d.r.v. indexed by positive integer d-dimensional lattice points, and for some general normalizing sequence, we determine necessary and sufficient conditions for the law of iterated logarithm. As its application, we give conditions for the existence of moments of the supremum of normed partial sums.
基金This work was supported by the National Natural Science Foundation of China (21472186)the Shanghai Science and Technology Commission (15JC1400400)+1 种基金partially supported by the Ministry of Science and Technology (2011CB710800)Calvine Lai thanks the internship from ENSCL to conduct the summer research (June–August of 2013) in the Hong laboratory
文摘Skipped polyol is a common motif in numerous biologically significant polyketides and has been the focus of the development of novel synthetic methods and strategies. In this work, we devised a highly diastereoselective approach to access skipped triol(anti,syn-isomer) from a chiral α-allenic alcohol which was derived from kinetic resolution in our previous studies. An iodolactonization and subsequent radical deiodonation efficiently introduced the hydroxyl group at C3 in a highly diastereoselective manner and exemplified in enantioselective total synthesis of (+)-yashabushitriol.
