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Mapping class groups and homeomorphism groups are symmetry groups of surfaces and all manifolds. They are usually very rigid, in the sense that their automorphism groups only consist of conjugation. I...
Given a graph G with weight function w and an acyclic edge subset E', the partial inverse spanning tree problem on (G, w; E') is to find a new weight function w* so that E' can be extended to a maximu...
The class of strongly quasiconvex functions was introduced in the famous paper of B.T. Polyak in 1966. It is the natural extension of the class of strongly convex functions, its applications emcompass...
In this talk we review some recent results on the multi-bubble blow-ups and multi-solitons to the focusing stochastic nonlinear Schr鰀inger equations. We will show the corresponding construction and co...
In this talk we review some recent results on the multi-bubble blow-ups and multi-solitons to the focusing stochastic nonlinear Schr鰀inger equations. We will show the corresponding construction and co...
In this talk, we are concerned with the nonlinear logarithmic Schrodinger equations. When the potential satisfies a global assumption, we give the multiple solutions. When the potential satisfies a lo...
The study of the 4-cycle has an important enlightening effect on the development of Turan type problems, especially the degenerate cases. In this talk, we focus on two conjectures about 4-cycles: a co...
Today, exactly ten years after announcing the discovery of the Higgs boson, the international ATLAS and CMS collaborations at the Large Hadron Collider (LHC) report the results of their most comprehen...
The first results from the Muon g-2 experiment at the U.S. Department of Energy's Fermi National Accelerator Laboratory show fundamental particles called muons behaving in a way that is not predicted ...
近日,自然指数期刊Geochimica et Cosmochimica Acta刊发了中国地质大学环境学院王红梅教授和刘邓副教授团队在“白云石之谜”领域取得新进展——The catalytic role of planktonic aerobic heterotrophic bacteria in protodolomite formation: Results from Lake Jibuhul...
Find related stories on NSF's Environmental Research and Education (ERE) programs at this link; find related stories on NSF's Long-Term Ecological Research Program at this link.Results of a new study ...
Are the U.S. East Coast's salt marshes healthy? How do sea ice patterns affect penguin populations in Antarctica? What diet do blue whales off California specialize in? Is every El Niño the same?...
Find related stories on NSF's Critical Zone Observatories at this link.The thin veneer of Earth's surface that stretches from the top of the forest canopy to the base of bedrock is known as the "criti...
A giant collision of several galaxy clusters, each containing hundreds of galaxies, has produced this spectacular panorama of shocks and energy. The collisions generated shock waves that set off a cel...
Background: Parental restrictive feeding (i.e., limiting food intake of children) has been linked to childhood overweight. However, the directionality of the causal pathway remains unknown.

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