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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars："Sobolev extensions"(7)&(8)
Sobolev扩展 Whitney扩展 技术变体
2023/11/29
I will give an introduction to Sobolev extensions, including the use of variants of the Whitney extension technique. I will concentrate on the basics of the theory.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars："Sobolev extensions"(5)&(6)
Sobolev扩展 Whitney扩展 技术变体
2023/11/29
I will give an introduction to Sobolev extensions, including the use of variants of the Whitney extension technique. I will concentrate on the basics of the theory.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Extensions of Projection Theorem in Banach Spaces
投影定理 巴拿赫空间 扩展
2023/5/4
In this talk, we first recall classic projection theorem for closed convex subsets in a Hilbert space. Then we introduce two extensions of the projection theorem in the Banach space where one is estab...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Submodular Functions: Extensions, Distributions, and Algorithms
子模块函数 扩展 分布 算法
2023/5/8
Submodularity is a fundamental phenomenon in combinatorial optimization. Submodular functions occur in a variety of combinatorial settings such as coverage problems, cut problems, welfare maximization...
ON MIXING PROPERTIES OF COMPACT GROUP EXTENSIONS OF HYPERBOLIC SYSTEMS
GROUP EXTENSIONS HYPERBOLIC SYSTEMS
2015/9/29
We study compact group extensions of hyperbolic diffeomorphisms. We relate mixing properties of such extensions with
accessibility properties of their stable and unstable laminations.
We show that g...
Fix a topological system (X, T), with its space K(X, T) of Tinvariant Borel probabilities. If (Y, S) is a symbolic system (subshift) and ϕ : (Y, S) → (X, T) is a topological extension (factor map...
LIVSIC^ THEORY FOR COMPACT GROUP EXTENSIONS OF HYPERBOLIC SYSTEMS
theory of tight group of hyperbolic system dynamics
2015/9/29
Recently several new phenomena in dynamics were discovered by
looking at small perturbations of compact group extensions of hypebolic systems [8, 14]. In view of this it is desirable to develop a gen...
Extensions of No-Go Theorems to Many Signal Systems.
EXTENSIONS OF RESPONDENT-DRIVEN SAMPLING: ANALYZING CONTINUOUS VARIABLES AND CONTROLLING FOR DIFFERENTIAL RECRUITMENT
RESPONDENT-DRIVEN SAMPLING DIFFERENTIAL RECRUITMENT
2015/9/11
Respondent-driven sampling (RDS) is a network-based method
for sampling hidden and hard-to-reach populations that has been
shown to produce asymptotically unbiased population estimates
when its ass...
Extensions of Gauss quadrature via linear programming
Gauss quadrature Semi-infi nite programming Convex optimization
2015/8/7
Gauss quadrature is a well known method for estimating the integral of a continuous function with respect to a given measure as a weighted sum of the function evaluated at a set of node points. Gauss ...
Charting Techniques for Dynamic Processes: Literature Review and Extensions
Statistical Process Control SPC Dynamic Process Multivariate Process
2015/3/18
In modern manufacturing environments,
both multivariate and dynamic natures have become
increasingly important. Many multivariate and dynamic processes, such as processes with feedback
control and ...
Simple techniques for likelihood analysis of univariate and multivariate stable distributions: with extensions to multivariate stochastic volatility and dynamic factor models
Univariate and multivariatestable distributions MCMC Approximate,Aayesian,Computation Characteristic function
2012/11/21
In this paper we consider a variety of procedures for numerical statistical inference in the family of univariate and multivariate stable distributions. In connection with univariate distributions (i)...
Constructing Ultrapowers from Elementary Extensions of Full Clones
Ultrapower Full Clone Elementary Extensions
2012/7/11
Let $A$ be an infinite set. Let $\Omega(A)$ be the algebra over $A$ where every constant is a fundamental constant and every finitary function is a fundamental operation. We shall give a method of rep...
The Geometric Invariants of Group Extensions
The Geometric Invariants Group Extensions Group Theory
2012/6/30
In this paper, we compute the {\Sigma}^n(G) and {\Omega}^n(G) invariants when 1 \rightarrow H \rightarrow G \rightarrow K \rightarrow 1 is a short exact sequence of finitely generated groups with K fi...
Random Galois extensions of Hilbertian fields
Random Galois extensions Hilbertian fields Number Theory
2012/6/21
Let L be a Galois extension of a countable Hilbertian field K. Although L need not be Hilbertian, we prove that an abundance of large Galois subextensions of L/K are.