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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Some improved Caffarelli-Kohn-Nirenberg inequalities and uncertainty principles
Caffarelli Kohn-Nierberg不等式 不确定性原理
2023/11/10
In this talk we introduce some improved Caffarelli-Kohn-Nirenberg inequalities and uncertainty principle for complex- and vector-valued functions on ?n, which is a further study of the results given i...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Fourier analysis on finite abelian groups and the uncertainty principles
有限阿贝尔群 傅里叶分析 不确定性原理
2023/3/11
Let G be a finite abelian group. If f: G → C is a nonzero function with Fourier transform f , the Donoho-Stark uncertainty principle states that|supp(f)||supp(f )|≥|G|. The purpose of this talk is two...
Researchers confirm decades-old theory describing principles of phase transitions
Researchers decades-old theory describing principles phase transitions
2016/11/3
New research conducted at the University of Chicago has confirmed a decades-old theory describing the dynamics of continuous phase transitions.The findings, published in the Nov. 4 issue of Science, p...
A first principles approach to understand the physics of precursory accelerating seismicity
seismicity fracture Benioff first principles
2015/8/24
Observational studies from rock fractures to earthquakes indicate that fractures and many large earthquakes are preceded by accelerating seismic release rates (accelerated seismic deformation). This i...
Uncertainty Principles and Ideal Atomic Decomposition
Uncertainty Principles Ideal Atomic Decomposition
2015/8/21
Suppose a discrete-time signal S(t), 0 tis a superposition of atoms taken
from a combined time/frequency dictionary made of spike sequences 1ft= g and sinu- soids expf2iwt=N)=p
N. Can one re...
Parametrized ♦ principles
Parametrized principles
2015/8/17
We will present a collection of guessing principles which have a similar relationship to as cardinal invariants of the continuum have to CH. The purpose is to provide a means for systematically analyz...
LOCAL-TO-GLOBAL PRINCIPLES FOR THE HITTING SEQUENCE OF A ROTOR WALK
LOCAL-TO-GLOBAL PRINCIPLES HITTING SEQUENCE ROTOR WALK
2015/8/14
In rotor walk on a finite directed graph, the exits from each vertex follow a prescribed periodic sequence. Here we consider the case of rotor walk where a particle starts from a designated source ver...
Ocean Dynamics and the Carbon Cycle:Principles and Mechanisms
Ocean Dynamics Carbon Cycle Principles and Mechanisms
2015/7/15
Williams and Follows combined their expertise to write a book targeted at honors undergraduate or graduate students, as well as at professionals in ocean science who need to learn the fundamentals of ...
Robust Uncertainty Principles: Exact Signal Reconstruction from Highly Incomplete Frequency Information
Random matrices free probability sparsity trigonometric expansions uncertainty principle convex optimization duality in optimization total-variation minimization image reconstruction linear programming
2015/6/17
This paper considers the model problem of reconstructing an object from incomplete frequency samples. Consider a discrete-time signal f ∈ CN and a randomly chosen set of frequencies Ω. Is it pos...
Quantitative Robust Uncertainty Principles and Optimally Sparse Decompositions
Uncertainty principle applications of uncertainty principles random matrices eigenvalues of random matrices sparsity trigonometric expansion convex optimization duality in optimization basis pursuit wavelets linear programming
2015/6/17
In this paper, we develop a robust uncertainty principle for finite signals in CN which states that for nearly all choices T,Ω ⊂ {0, . . . , N − 1} such that |T| + |Ω| (log N...
《Lehninger's Principles of Biochemistry 4th》
Lehninger's Principles of Biochemistry 4th Lehninger
2014/7/17
《Lehninger's Principles of Biochemistry 4th》。
NONLINEAR MAXIMUM PRINCIPLES FOR DISSIPATIVE LINEAR NONLOCAL OPERATORS AND APPLICATIONS
NONLINEAR MAXIMUM PRINCIPLES DISSIPATIVE LINEAR NONLOCAL OPERATORS APPLICATIONS
2014/4/3
We obtain a family of nonlinear maximum principles for linear dissipative nonlocal operators,that are general, robust, and versatile. We use these nonlinear bounds to provide transparent proofs of glo...
First-principles study on the magnetic properties in Mg dooped BiFeO3 with and without oxygen vacancies
Vacancies Magnesium Magnetic moments Antiferromagnetism Band gap
2013/12/2
The magnetic properties of Mg-doped BiFeO3 (BFO) with and without oxygen vacancies are studied through first-principles calculations. The Mg-doping prefers to occupy the ferromagnetic planes and produ...
江西师范大学生态学课件2.2 Basic principles of the relationship between o
江西师范大学 生态学 课件 Basic principles of the relationship between o
2013/7/15
江西师范大学生态学课件2.2 Basic principles of the relationship between o。
Uncertainty principles for integral operators
Uncertainty principles annihilating pairs Dunkl transform Fourier-Clifford transform integral operators
2012/6/6
The aim of this paper is to prove new uncertainty principles for an integral operator $\tt$ with a bounded kernel for which there is a Plancherel theorem. The first of these results is an extension of...