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d dt g = −2Rc g(0) = g0 on a closed manifold M. An important ingredient of Perelman’s proof of geometrization conjecture is the non-collapsing theorem of Ricci flow which makes sure that we can get a singularity model of the flow when a singularity exists. In [7], Zhang gave an easier way to prove the noncollapsing theorem of Ricci flow via a uniform Sobolev inequality along the flow. Unfortuna...
Yoga-based exercise has proven to be beneficial for practitioners, including cancer survivors. This study reports on the effect on inflammatory biological markers for 20 breast cancer survivors who participated in a six-month yoga-based (YE) exercise program. Results are compared to a comprehensive exercise (CE) program group and a comparison (C) exercise group who chose their own exercises. "P...
Bayes High-Dimensional Density Estimation Using Multiscale Dictionaries by Ye Wang Department of Statistics Duke University
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