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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Analytic smoothing effect of a class of ultra-parabolic equations
一类超抛物型方程 解析 光滑效应
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2023/11/29
We study a class of ultra-parabolic equations, it is a high order degenerate parabolic operators of Hormander type, so it is strongly degenerate, but we prove that this class operators possesses the a...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Rigidity results in mapping class groups and homeomorphism groups
映射类群 同胚群 刚性结果
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2023/11/13
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...
中国科学院分子植物科学卓越创新中心张余研究组揭示细菌Class III转录激活机制（图）
中国科学院分子植物科学卓越创新中心 张余 细菌 Class III转录 激活机制
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2020/10/13
2020年9月28日，Nature Chemical Biology 在线发表了中国科学院分子植物科学卓越创新中心合成生物学重点实验室张余研究组题为“CueR activates transcription through a DNA distortion mechanism”的研究论文。该论文主要研究了细菌Class III转录因子CueR转录激活的分子机制。
Theorists propose new class of topological metals with exotic electronic properties
Theorists topological metals exotic electronic properties
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2017/2/16
Researchers at Princeton, Yale, and the University of Zurich have proposed a theory-based approach to characterize a class of metals that possess exotic electronic properties that could help scientist...
60 years ago,first landing at the South Pole paved the way for world-class Antarctic science
first landing South Pole paved world-class Antarctic science
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2016/11/4
On October 31, 1956, seven U.S. naval aviators did what many thought was impossible...they landed a plane for the first time at the bottom of the world. The pilot, Lt. Cmdr. Conrad C. "Gus" Shinn land...
EFFECT OF THE X5.4 CLASS SOLAR FLARE EVENT OF SOLAR CYCLE 24 ON THE GPS SIGNAL RECEPTION IN PENINSULAR MALAYSIA
Solar Flare GPS MyRTKnet Total Electron Content Ionospheric Delay
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2016/10/14
In this paper, we examine the effect of solar flare event on the Global Positioning System (GPS) signal reception in Peninsular Malaysia during the X5.4 class solar flare on 7th March 2012, 00:24 UT a...
New Class of Molecular ‘Lightbulbs’ Illuminate MRI
New Class of Molecular Lightbulbs Illuminate MRI
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2016/4/13
Duke University researchers have taken a major step towards realizing a new form of MRI that could record biochemical reactions in the body as they happen.In the March 25 issue of Science Advances, th...
THE ACTION OF THE MAPPING CLASS GROUP ON REPRESENTATION VARIETIES
MAPPING CLASS GROUP REPRESENTATION VARIETIES
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2015/12/17
These notes are based on lectures given at Zhejiang University, July 14–20, 2008. My goal was to present some analytic techniques that can be used to study the action of the mapping class group on the...
THE EXTENDED BLOCH GROUP AND THE CHEEGER-CHERN-SIMONS CLASS
THE EXTENDED BLOCH GROUP CHEEGER-CHERN-SIMONS CLASS
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2015/12/17
We present a formula for the full Cheeger-Chern-Simons class of the tautological flat
complex vector bundle of rank 2 over BSL(2, C
δ
). Our formula improves the formula in [DZ], where
the c...
A dilogarithmic formula for the Cheeger–Chern–Simons class
discrete Cheeger–Chern–Simons
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2015/12/17
In the famous papers [1] and [2], J Cheeger, S Chern and J Simons define characteristic
classes for flat G–bundles. Each such characteristic class is given by a corresponding
universal c...
PRECONDITIONING A CLASS OF FOURTH ORDER PROBLEMS BY OPERATOR SPLITTING
parabolic problems fourth order problems preconditioning
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2015/12/11
We develop preconditioners for systems arising from finite element discretizations of
parabolic problems which are fourth order in space. We consider boundary conditions which yield
a natural ...
A Posteriori Error Analysis for A Class of Integral Equations and Variational Inequalities
Integral Equations Variational Inequalities
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2015/12/11
We consider elliptic and parabolic variational equations and inequalities governed by
integro-differential operators of order 2s ∈ (0,2]. Our main motivation is the pricing of European
or Amer...
Optimal order a posteriori error estimates for a class of Runge{Kutta and Galerkin methods
error estimates Galerkin methods
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2015/12/11
We derive a posteriori error estimates, which exhibit
optimal global order, for a class of time stepping methods of any
order that include Runge{Kutta Collocation (RK-C) methods and
the continuous ...
Compactons in a Class of Nonlinearly Quintic Equations
Five nonlinear dispersion equation and linear equation the line the numerical simulation
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2015/10/8
We introduce a nonlinear dispersive quintic equation. Its travelling waves are governed by a linear equation. We construct a large variety of explicit compact solitary waves with one or many humps. So...
An Extension of Barbashin-Kraso vski-LaSalle Theorem to a Class of Nonautonomous Systems
Barbashin-Kraso vski-LaSalle Theorem Class of Nonautonomous Systems
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2015/9/29
An Extension of Barbashin-Kraso vski-LaSalle Theorem to a Class of Nonautonomous Systems.