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Pathwise Stationar y Solutions and Random Per iodic Solutions of Random Dynamical Systems (SPDEs, Random Maps)
Pathwise Stationar y Solutions Random Per
2015/4/3
here are two fundamental concepts in deter ministic dynamical systems: fixed
point (equilibr ium point) and per iodic solutions. For stochastic dynamical systems, they correspond to fundamental ideas...
Random Attractors for Stochastic Wave Equations with Critical Exponents on Rn
Stochastic Wave Equations Random Attractors
2015/4/3
Outline
• Stochastic wave equations on Rn.
• Random attractors theory.
• Random absorbing sets for wave equations.
• Pullback asymptotic compactness.
• Existence of ...
Stochastic Quantification of Missing Mechanisms in Dynamical Systems
ynamical Systems Missing Mechanisms
2015/4/3
Due to lack of knowledge:
Missing mechanisms (ignored “too small" or “too fast" or
“unimportant" processes)
Unresolved scales (not represented in models)
Model uncertainties
Ergo d ici ty of Sto chastic 2D Navie r- Stokes eq uations with L′evy Noise
L′evy Noise Sto chastic
2015/4/3
The Navier-Stoke s e quations are the fundame ntal m o de l of the
fluids . De spite t he ir gre at physic al im p ortance , exist ence and
uniquenes s res ults for the e quations in the three -dime...
ESTABLISHING STRONG CONTROL OF FAMILYWISE ERROR RATE FOR ITERATIVE STEP-DOWN TESTS
ESTABLISHING STRONG ITERATIVE STEP-DOWN TESTS
2015/3/18
A long-standing problem concerning the iterative analysis of orthogonal
saturated designs has b een resolved. Consider an unreplicated factorial design
yielding indep endent, normally distributed es...
Robustness of an Odds-ratio Test in a Stratified Group Sequential Trial with a Binary Outcome Measure
Binary outcome Odds-ratio Stratification
2015/3/18
Many clinical trials compare two or more treatment groups by using a binary outcome measure.
For example, the goal could be to determine whether the frequency of pain episodes is
significantly reduc...
AN ALGORITHMIC APPROACH TO CONSTRUCTING ORTHOGONAL AND NEAR-ORTHOGONAL ARRAYS
CONSTRUCTING ORTHOGONAL NEAR-ORTHOGONAL ARRAYS
2015/3/18
Due to run size constraints, near-orthogonal arrays (near-OAs) and sup ersaturated designs, a sp ecial case of near-OA, are considered go o d alternatives to OAs.
This pap er shows (i) a combinatoria...
基于二元语义Archimedean S-模集成算子的群决策方法
二元语义 群决策 Archimedean S-模
2016/11/11
对于二元语义环境下的多指标群决策问题,本文采用扩展Archimedean S-模定义二元语义的新运算法则,并基于新运算法则给出对权重进行自适应调整的二元语义扩展Archimedean S-模集成(TASTA)算子、二元语义扩展Archimedean S-模加权平均(TASTWA)算子和二元语义向量扩展Archimedean S-模加权平均(V-TASTWA)算子。以及提出一种基于TASTWA算子和...
保持数学分析、实变函数论课程内容的科学性与先进性
数学分析 实变函数论
2014/12/22
“数学分析”是大学数学系的一门重要的基础课,也是其他各系数学课的重要部分。此课程历史悠久。在教学改革中有一种观点认为这门课已相当成熟,不宜做大的改动。
其实,正因为这门课程老,其中陈旧的概念、落后的叙述还是很多的。科学不会过时,但落后的陈述必须改进。
哥德巴赫猜想成立的一个必要条件
一次同余系,算术平均值定理等
2015/6/2
任意偶数内的自然数,平均分2排,对应项的和正好是该偶数,通过这些数对的性质和规律,发现由于素数分布越来越稀,两排数中的素数个数不同,从而使两排必有对应的1对素数和为该偶数,证明素数分布越来越稀是哥德巴赫猜想成立的一个必要条件。
Fix an integer d > 0. In 2008, Chantal David and Tom Weston showed that, on average, an elliptic curve over Q picks up a nontrivial p-torsion point defined over a finite extension K of the p-adics of ...
The discovery of 139 Child Non-syndromic Intellectual Disability associated genetic copy number variation loci with biological insights
Gene copy biological
2014/12/5
Intellectual disability (ID) is a highly heritable mental disease. Especially, the
underlying molecular mechanism of non-syndromic intellectual disability (NSID), a
subtype of ID with no ...
The distributive law of odd primes in the natural numbers Even number E≥6 can be expressed as the sum of two odd primes
Goldbach hypothesis odd prime infimum
2015/6/2
1. This paper provided the distributive law of odd primes in the natural numbers. 2. Given a mathematical model of two opposite directional sequences of natural numbers: ︳Omin ,…,…,…,Omax ︳ ︳Omax ,…, ...
Oblique Derivative Problem for Generalized Lavrent 0 ev-Bitsadze Equations
Existence and uniqueness of solutions oblique derivative problem
2014/9/26
In this article, we first give the representation of solutions for the oblique
derivative boundary value problem of generalized Lavrent
0
ev-Bitsadze equations including
the Lavrent
0
ev-Bitsadz...