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In this talk we show that bounded harmonic functions are constant on gradient shrinking Ricci solitons with CSC by frequency function method. As an application, we show that the space of harmonic func...
For most plants, carbon dioxide acts like a steroid: the more they take in, the bigger they get. But in a new study, scientists at the Smithsonian Environmental Research Center, Villanova University a...
A study by Chinese and U.S. scientists finds that while populations of the iconic giant panda have increased recently, the species’ habitat still covers less area and is more fragmented than when it w...
Warming in the 21st century reduced Colorado River flows by at least 0.5 million acre-feet, about the amount of water used by 2 million people for one year, according to new research from the Uni...
Vanishing Arctic sea ice. Dogged weather systems over Greenland. Far-flung surface ice melting on the massive island.These dramatic trends and global sea-level rise are linked, according to a study co...
Shrinking Trees     Shrinking Trees       < 2015/8/21
Tree-based models provide an alternative to linear models for classification and regression data. They are used primarily for exploratory analysis of complex data or as a diagnostic tool following a l...
In this paper, we first apply an integral identity on Ricci solitons to prove that closed locally conformally flat gradient Ricci solitons are of constant sectional curvature. We then ge...
In this paper, we first derive several identities on a compact shrinking Ricci soliton. We then show that a compact gradient shrinking soliton must be Einstein, if it admits a Riemannian metri...
We describe a heuristic control policy, for a general finite-horizon stochastic control problem, that can be used when the current process disturbance is not conditionally independent of previous dist...
An extensive study of global habitat fragmentation--the division of habitats into smaller and more isolated patches--points to major trouble for the world's ecosystems.The study shows that 70 percent ...
Abstract: Let $T$ be an expanding Markov map with a countable number of inverse branches and a repeller $\Lambda$ contained within the unit interval. Given $\alpha \in \R_+$ we consider the set of poi...
In this study, a reliable algorithm to develop approximate solutions for the problem of fluid flow over a stretching or shrinking sheet is proposed. It is depicted that the differential transform meth...
In this paper, we discuss the self-shrinking systems in higher codimensional spaces. We mainly obtain several Bernstein type results and a sharp growth estimate.MSC 2010: Primary 53C44.
In this letter, the differential transform method (DTM) is applied to the axisymmetric stagnation flow towards a shrinking sheet gives a system of nonlinear ordinary differential equations. The approx...
In this paper we investigate the effects of the band shifts induced by the interband spin-fluctuation coupling on the optical sum rule in pnictides. We show that, despite the shrinking of the Fermi su...

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