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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A 1.344-approximation algorithm for the vertex cover problem
顶点覆盖问题 1.344 近似算法
2023/12/11
We present an algorithm for the vertex cover problem by combining the LP relaxation and the random edge-reductions. The algorithm has the expected approximation ratio of 1.344.
Topological finiteness for edge-vertex enumeration
Topological finiteness edge-vertex enumeration
2015/8/25
The number of PL-homeomorphism types of combinatorial manifolds in a fixed dimension with an upper bound on g2 is finite.
Operadic formulation of topological vertex algebras and Gerstenhaber or Batalin-Vilkovisky algebras
Operadic formulation topological vertex algebras Gerstenhaber Batalin-Vilkovisky algebras
2015/3/25
We give the operadic formulation of (weak, strong) topological vertex algebras, which are variants of topological vertex operator algebras studied recently by Lian and Zuckerman. As an application, we...
Open-string vertex algebras, tensor categories and operads
Open-string vertex algebras tensor categories operads
2015/3/25
We introduce notions of open-string vertex algebra, conformal open-string vertex algebra and variants of these notions. These are ``open-string-theoretic,'' ``noncommutative'' generalizations of the n...
Exact Solutions to the Six-Vertex Model with Domain Wall Boundary Conditions and Uniform Asymptotics of Discrete Orthogonal Polynomials on an Infinite Lattice
Statistical Mechanics Random Matrices Orthogonal Polynomials Asymptotics Riemann-Hilbert Problems
2015/1/19
In this dissertation the partition function, $Z_n$, for the six-vertex model with domain wall boundary conditions is solved in the thermodynamic limit in various regions of the phase diagram. In the f...
Studies of Vertex Tracking with SOI Pixel Sensors for Future Lepton Colliders
Monolithic pixel sensor SOI technology Vertex reconstruction High Energy Physics - Experiment
2012/4/24
This paper presents a study of vertex tracking with a beam hodoscope consisting of three layers of monolithic pixel sensors in SOI technology on high-resistivity substrate. We study the track extrapol...
Determinant formula for the partition function of the six-vertex model with a non-diagonal reflecting end
The six-vertex model Open spin chain Partition function
2011/9/22
Abstract: With the help of the F-basis provided by the Drinfeld twist or factorizing F-matrix for the open XXZ spin chain with non-diagonal boundary terms, we obtain the determinant representation of ...
Motivic Donaldson-Thomas invariants of the conifold and the refined topological vertex
Motivic Donaldson-Thomas invariants refined topological vertex Algebraic Geometry
2011/9/20
Abstract: We compute the motivic Donaldson-Thomas theory of the resolved conifold, in all chambers of the space of stability conditions of the corresponding quiver. The answer is a product formula who...
A 0-1 law for vertex-reinforced random walks on $\mathbb{Z}$ with weight of order $k^α$, $α<1/2$
vertex-reinforced random Probability
2011/9/5
Abstract: We prove that Vertex Reinforced Random Walk on $\mathbb{Z}$ with weight of order $k^\alpha$, with $\alpha\in [0,1/2)$, is either almost surely recurrent or almost surely transient. This impr...
Abstract: Using the method of commutative algebra, we show that the set $\mathfrak{R}$ of nilpotent elements of a vertex algebra $V$ forms an ideal, and $V/\mathfrak{R}$ has no nonzero nilpotent eleme...
Abstract: We prove a general lemma about partitioning the vertex set of a graph into subgraphs of bounded degree. This lemma extends a sequence of results of Lov\'asz, Catlin, Kostochka and Rabern.
The monodromy matrix in the F-basis for arbitrary six-vertex models
Six-Vertex Model F-Basis Monodromy Matrix
2011/7/25
Abstract: We present the expressions for the monodromy matrix elements of the six-vertex model in the F-basis for arbitrary Boltzmann weights. The results rely solely on the property of unitarity and ...
Measurement of B anti-B Angular Correlations based on Secondary Vertex Reconstruction at sqrt(s)=7 TeV
Measurement B anti-B Angular Correlations Secondary Vertex Reconstruction sqrt(s)=7 TeV
2011/4/6
Measurement of B anti-B Angular Correlations based on Secondary Vertex Reconstruction at sqrt(s)=7 TeV 。
Algebraic arctic curves in the domain-wall six-vertex model
Algebraic arctic domain-wall six-vertex model
2011/1/20
The arctic curve, i.e. the spatial curve separating ordered (or ‘frozen’) and disordered (or ‘temperate) regions, of the six-vertex model with domain wall boundary conditions is discussed for the root...
On the electron scattering on the one-dimensional complexes: the vertex array method
electron scattering one-dimensional complexes vertex array method
2011/2/21
The problem of electron scattering on the one-dimensional complexes is considered. We present a novel theoretical approach to solution of the transport problem for a quantum graph.