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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Spectral rigidity and joint integrability for Anosov diffeomorphisms on tori
环形 阿诺索夫微分同胚 谱刚度 联合可积性
2023/4/14
In this talk, we address on the strong rigidity properties from joint integrability in the setting of Anosov diffeomorphisms on tori. More specifically, for an irreducible Anosov diffeomorphism with s...
THE NONCOMMUTATIVE WIENER LEMMA,LINEAR INDEPENDENCE,AND SPECTRAL PROPERTIES OF THE ALGEBRA OF TIME-FREQUENCY SHIFT OPERATORS
NONCOMMUTATIVE WIENER LEMMA LINEAR INDEPENDENCE SPECTRAL PROPERTIES OF THE ALGEBRA TIME-FREQUENCY SHIFT OPERATORS
2015/9/29
In this paper we analyze the Banach *-algebra of time-frequency shifts with absolutely summable coefficients. We prove a noncommutative version of the Wiener lemma. We also construct a faithful tracia...
On the spectral theory of Rickart Ordered *-algebras
spectral theory Rickart Ordered *-algebras
2011/2/25
RO-algebras are defined and studied. For RO-algebra T , using properties of partial order, it is established that the set of bounded elements can be endowed with C-norm. The structure of commutativ...
Spectral Invariance of Besov-Bessel Subalgebras
Banach algebra matrix algebra Besov spaces Bessel potential spaces
2011/2/21
Using principles of the theory of smoothness spaces we give systematic constructions of scales of inverse-closed subalgebras of a given Banach algebra with the action of a d-parameter automorphism gro...
Minimizing Laplacian spectral radius of unicyclic graphs with fixed girth
Laplacian matrix Laplacian spectral radius girth unicyclic graph
2011/1/18
In this paper we consider the following problem: Over the class of all simple con-nected unicyclic graphs on n vertices with girth g (n, g being fixed), which graph minimizes the Laplacian spectral ra...
An Inverse Power Method for Nonlinear Eigenproblems with Applications in 1-Spectral Clustering and Sparse PCA
Inverse Power Method for Nonlinear Eigenproblems Applications 1-Spectral Clustering Sparse PCA
2011/3/2
Many problems in machine learning and statistics can be formulated as (generalized)eigenproblems. In terms of the associated optimization problem, computing linear eigenvectors amounts to finding crit...
Spectral triples for finitely presented groups, index 1
Spectral triples finitely presented groups
2010/11/23
Using generalized Cayley graphs and Clifford algebras, we are able to give, for a large class of finitely presented groups, a uniform construction of spectral triples with $D_{+}$ of index $1$.
On spectral properties of the fourth order differential operator with singular coefficients
spectral properties differential operator singular coefficients
2010/11/22
A formal fourth order differential operator with a singular coefficient that is a linear combination of the Dirac delta-function and its derivatives is considered. The asymptotic behavior of spectra ...
Singular spectral shift and Pushnitski $\mu$-invariant
Singular spectral shift Pushnitski $\mu$-invariant
2010/12/8
In this paper it is shown that in case of trace class perturbations the singular part of Pushnitski μ -invariant does not depend on the angle variable. This gives an alternative proof of integer-value...
Extremal spectral properties of Lawson tori and the Lamé equation
Lawson torus Lawson minimal surfaces extremal metric
2010/11/26
Extremal spectral properties of the Lawson tori are studied. A Law-son torus carries an extremal metric for some eigenvalue j of the Laplace-Beltrami operator. We prove that the metric on a Lawson to...
Novel Codes Family for Modified Spectral-Amplitude-Coding OCDMA Systems and Performance Analysis
Novel Codes Family Modified Spectral-Amplitude-Coding OCDMA Systems Performance Analysis
2010/12/10
In this paper a novel family of codes for modified spectral-amplitude-coding optical code division multiple access (SAC-OCDMA) is introduced. The proposed codes exist for more number of processing gai...
Bose-Einstein Condensates and spectral properties of multicomponent nonlinear Schrodinger equations
soliton solutions scattering data dimensional BEC
2010/4/1
We analyze the properties of the soliton solutions of a class of models describing one-dimensional BEC with spin F. We describe the minimal sets of scattering data which determine uniquely both the co...
Subdivision algorithm (Stationary or Non-stationary) is one of
the most active and exciting research topics in wavelet analysis
and applied mathematical theory. In multidimensional non-stationary
s...
AN EMBEDDING FOR THE $E_2$-TERM OF THE ADAMS SPECTRAL SEQUENCE AT ODD PRIMES
Koszul algebras Cohomology of algebras Adams spectral sequence
2007/12/11
Let $p$ be an odd prime. In this paper we introduce a quadratic linear $\mathbb F_p$-algebra $Q_1$ obtained by suitably changing the generators of $Q$, the homogeneous quadratic algebra of cohomology ...
On the Convergence of Products ...... in the Adams Spectral Sequence
stable homotopy groups of spheres Adams spectral sequence May spectral sequence
2007/12/10
Let $A$ be the mod $p$ Steenrod algebra and $S$ the sphere spectrum localized at $p$, where $p$ is an odd prime. In 2001 Lin detected a new family in the stable homotopy of spheres which is represente...