Peng Lu, Lei Ni, Juan-luis Vázquez, Cédric Villani
entropy formulae for porous medium and
Local curvature bound in Ricci flow (2009)
In this note we give a proof of a result which is related to Perelman's theorem in Section 10.3 of the paper "The entropy formula for the Ricci flow and its geometric applications".
Uniqueness of standard solutions in the work of (2009)
The short time existence of Ricci flow on complete noncompact Riemannian manifolds with bounded curvature is proven by Shi [Sh1]. The uniqueness of such solutions is a difficult problem. Hsu studies...
Lu, Peng, Ni, Lei, Vázquez, Juan-Luis, Villani, Cédric
In this work we derive local gradient and Laplacian estimates of the Aronson-B\'enilan and Li-Yau type for positive solutions of porous medium equations posed on Riemannian manifolds with a lower...
2D NMR Metabonomic Analysis: A Novel Method for Automated Peak Alignment (2008)
Ming Zheng, Peng Lu, Yanzhou Liu, Joseph Pease, Jonathan Usuka, Guochun Liao, ...
Motivation: Comparative metabolic profiling by nuclear magnetic resonance (NMR) is showing increasing promise for identifying interindividual differences to drug response. Two dimensional (2D) 1 H-...
Qingrui Zhou, Kui Yuan, Wei Zou, Peng Lu, Huosheng Hu, Senior Member
Abstract—In this paper, the development of an intelligent image grabber and its application to a multi-scale focus pseudo omni-directional robot vision system is presented. The new developed...
Lu, Peng, Boros, Sandor, Chang, Qing, Bindels, René J., Hoenderop, Joost G.
Background. Active Ca2+ reabsorption in the kidney is facilitated by the epithelial transient receptor potential vanilloid Ca2+ channel subtype 5 (TRPV5). The complex-glycosylated TRPV5 is expressed...
Nyakiti, Luke Owuor, Chaudhuri, Jharna, Kenik, Ed A., Lu, Peng, Edgar, James H.
In the present study, the type and densities of defects in AlN crystals grown on 6H-SiC seeds by the sublimation-recombination method were assessed. The positions of the defects in AlN were first...
Degeneration Of Kähler-Einstein Metrics On Complete Kähler Manifolds (2007)
this paper, we remove this restriction. The key observation is that Lemma 1.5 in [T] can be weakened. We will prove our result in a larger setting. Before stating the main theorem of this paper we...
2D NMR metabonomic analysis: a novel method for automated peak alignment (2007)
Zheng, Ming, Lu, Peng, Liu, Yanzhou, Pease, Joseph, Usuka, Jonathan, Liao, Guochun, ...
Motivation: Comparative metabolic profiling by nuclear magnetic resonance (NMR) is showing increasing promise for identifying inter-individual differences to drug response. Two dimensional (2D) 1H...
Evolution of Yamabe constant under Ricci flow (2006)
In this note under a crucial technical assumption we derive a differential equality of the Yamabe constant $\mathcal{Y} (g (t))$ where $g (t)$ is a solution of the Ricci flow on a closed manifold.
Thesis (Ph. D.)--Kansas State University, 2006.
A note on uniformization of Riemann surfaces by Ricci flow (2005)
Chen, Xiuxiong, Lu, Peng, Tian, Gang
In this note we clarify that the Rcci flow can be used to give an independent proof of the uniformization theorem of Riemann surfaces.
Wang, Jun, Cao, Jieming, Fang, Baoqing, Lu, Peng, Deng, Shaogao, Wang, Haiyan
A fast and environment-friendly microwave-heating route to synthesize multipod, flower-like and shuttle-like ZnO nano-/microstructures in room-temperature ionic liquids has been reported. The...
Ricci flow on locally homogeneous closed 4-manifolds (2005)
Isenberg, James, Jackson, Martin, Lu, Peng
We discuss the Ricci flow on homogeneous 4-manifolds. After classifying these manifolds, we note that there are families of initial metrics such that we can diagonalize them and the Ricci flow...
Complete noncompact Riemannian manifolds with nonnegative sectional curvature arise naturally in the Ricci flow when one takes the limits of dilations about a singularity of a solution of the Ricci...
Chow, Bennett, Glickenstein, David, Lu, Peng
We study sequences of 3-dimensional solutions to the Ricci flow with almost nonnegative sectional curvatures and diameters tending to infinity. Such sequences may arise from the limits of dilations...
Metric transformations under collapsing of Riemannian manifolds (2003)
Chow, Bennett, Glickenstein, David, Lu, Peng
Let (M,g) be a Riemannian manifold with an isometric action of the Lie group G. Let g_G be a left invariant metric on G. Consider the diagonal G action on the product $M \times G$ with the metric...
Chow, Bennett, Knopf, Dan, Lu, Peng
We give a new and complete proof of Hamilton's injectivity radius estimate for sequences with bounded and almost nonnegative curvature operators, unbounded diameters, and bump-like origins. Such...
In this paper we prove two extensions of Hamilton's maximal principle for systems pf parabolic equations which sould be useful for the study of the Ricci flow and some other geometric evolution...
The main result of this paper is: Given any constant C, there is $(\epsilon,k,L)$ such that if a complete, orientable, noncompact odd-dimensional manifold with bounded positive sectional curvature...
A compactness property for solutions of the Ricci flow on orbifolds (2001)
American Journal of Mathematics - Volume 123, Number 6, December 2001
Special Lagrangian Tori on a Borcea-Voisin Threefold (1999)
We show the existence of special Lagrangian tori on one family of Borcea-Voisin threefolds. We also construct a family of special Lagrangian submanifolds on the total space of the canonical line...
Thesis (Ph. D.)--State University of New York at Stony Brook, 1996.
Lu, Peng, Nakorchevskiy, Aleksey, Marcotte, Edward M.
Cells grow in dynamically evolving populations, yet this aspect of experiments often goes unmeasured. A method is proposed for measuring the population dynamics of cells on the basis of their mRNA...
Lu, Peng, Nakorchevskiy, Aleksey, Marcotte, Edward M.
Cells grow in dynamically evolving populations, yet this aspect of experiments often goes unmeasured. A method is proposed for measuring the population dynamics of cells on the basis of their mRNA...
The effects of process conditions on the material’s properties were investigated for the sublimation growth of aluminum nitride and the epitaxial growth of silicon carbide. Since the mid 1990’s,...
Regulators of Expression of the Oligopeptide Permease A Proteins of Borrelia burgdorferi▿
Medrano, Melisa S., Ding, Yanpeng, Wang, Xing-Guo, Lu, Peng, Coburn, Jenifer, Hu, Linden T.
Borrelia burgdorferi undergoes an infectious cycle that requires adaptation to different hosts and marked differences in environment. B. burgdorferi copes with its different environments by...
In silico and in vitro pharmacogenetic analysis in mice
Guo, Yingying, Lu, Peng, Farrell, Erin, Zhang, Xun, Weller, Paul, Monshouwer, Mario, ...
Combining the experimental efficiency of a murine hepatic in vitro drug biotransformation system with in silico genetic analysis produces a model system that can rapidly analyze interindividual...
Crystallization of hepatocyte nuclear factor 1β in complex with DNA
Lu, Peng, Li, Yun, Gorman, Amanda, Chi, Young-In
Sample preparation, characterization, crystallization and preliminary X-ray analysis are reported for a HNF1β–DNA binary complex.
Boolean techniques in discrete optimization and expert systems.
Thesis (Ph.D.)--McMaster University (Canada), 1989.
Crystallization of hepatocyte nuclear factor 4α (HNF4α) in complex with the HNF1α promoter element
Lu, Peng, Liu, Jianguo, Melikishvili, Manana, Fried, Michael G., Chi, Young-In
Sample preparation, characterization, crystallization and preliminary X-ray analysis are reported for the HNF4α–DNA binary complex.
The effects of process conditions on the material’s properties were investigated for the sublimation growth of aluminum nitride and the epitaxial growth of silicon carbide. Since the mid 1990’s,...
The effects of process conditions on the material’s properties were investigated for the sublimation growth of aluminum nitride and the epitaxial growth of silicon carbide. Since the mid 1990’s,...
Qiu, Yang, Li, Xi-xiang, Zhi, Hai-ying, Shen, Di, Lu, Peng
We examined salt tolerance responsive genes in Pak-choi under salt stress and analyze their potential function. The mRNA differential display was used to screen the transcript derived fragments...