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Search Results: 1 - 10 of 55354 matches for " ZHAO An-min "
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Ruan's Conjecture on Singular symplectic flops
Bohui Chen,An-Min Li,Guosong Zhao
Mathematics , 2008,
Abstract: We prove that the orbifold quantum ring is preserved under singular symplectic flops. Hence we verify Ruan's conjecture for this case.
The number of ramified covering of a Riemann surface by Riemann surface
An-Min Li,Guosong Zhao,Quan Zheng
Mathematics , 1999, DOI: 10.1007/s002200000254
Abstract: Interpreting the number of ramified covering of a Riemann surface by Riemann surfaces as the relative Gromov-Witten invariants and applying a gluing formula, we derive a recursive formula for the number of ramified covering of a Riemann surface by Riemann surface with elementary branch points and prescribed ramification type over a special point.
Singular symplectic flops and Ruan cohomology
Bohui Chen,An-Min Li,Qi Zhang,Guosong Zhao
Mathematics , 2008,
Abstract: In this paper, we study the symplectic geometry of singular conifolds of the finite group quotient $$ W_r=\{(x,y,z,t)|xy-z^{2r}+t^2=0 \}/\mu_r(a,-a,1,0), r\geq 1, $$ which we call orbi-conifolds. The related orbifold symplectic conifold transition and orbifold symplectic flops are constructed. Let $X$ and $Y$ be two symplectic orbifolds connected by such a flop. We study orbifold Gromov-Witten invariants of exceptional classes on $X$ and $Y$ and show that they have isomorphic Ruan cohomologies. Hence, we verify a conjecture of Ruan.
Relative orbifold Gromov-Witten theory and degeneration formula
Bohui Chen,An-Min Li,Shanzhong Sun 'and' Guosong Zhao
Mathematics , 2011,
Abstract: Relative orbifold Gromov-Witten theory is set-up and the degeneration formula is given.
The Quantization of the Relative Cohomology Group
An-Min Li,Quan Zheng,Guosong Zhao,Hao Chen
Mathematics , 2001,
Abstract: The paper was removed.
A symplectic proof of Seiberg-Witten blow-up formula
An-Min Li,Renhong Wang,Guosong Zhao,Quan Zheng
Mathematics , 2000,
Abstract: withdrawn by authors
Periodic Solutions to Non-Autonomous Second-Order Dynamical Systems  [PDF]
An-Min Mao, Miao-Miao Yang
Advances in Pure Mathematics (APM) , 2011, DOI: 10.4236/apm.2011.13020
Abstract: We study the multiple existence of periodic solutions for a second-order non-autonomous dynamical systems (1). Using the method of invariant sets of descending flow and chain of rings theorem, we obtain the existence of seven -periodic solutions.
Tracking Fusion with Dissimilar Sensors for Linear Systems with Correlated Measurement Noises

Zhang An-min,Han Chong-zhao,

电子与信息学报 , 2005,
Abstract: Tracking fusion with dissimilar sensors, which is a challenge work in multisensor fusion, is studied. Under the condition of general correlated measurement noises, the centralized and distributed tracking fusion question is investigated based on linear unbiased minimum variance estimation theory. The basic algorithms of measurement fusion and state vector fusion are presented in linear system with dissimilar sensors by the way of sequential filtering. These algorithms involve with not only the correlated measurement noises but also the configuration difference in local sensors, so information about multi-sensors fusion is increased. Through a simulation example it is indicated that the results of proposed algorithm is better than that classic ones where the measurement noises and processing noises are assumed to be uncorrelated.
Multi-particle and High-dimension Controlled Order Rearrangement Encryption Protocols
Ya Cao,An-Min Wang,Xiao-San Ma,Ning-bo Zhao
Physics , 2007, DOI: 10.1140/epjd/e2007-00237-y
Abstract: Based on the controlled order rearrange encryption (CORE) for quantum key distribution using EPR pairs[Fu.G.Deng and G.L.Long Phys.Rev.A68 (2003) 042315], we propose the generalized controlled order rearrangement encryption (GCORE) protocols of $N$ qubits and $N$ qutrits, concretely display them in the cases using 3-qubit, 2-qutrit maximally entangled basis states. We further indicate that our protocols will become safer with the increase of number of particles and dimensions. Moreover, we carry out the security analysis using quantum covariant cloning machine for the protocol using qutrits. Although the applications of the generalized scheme need to be further studied, the GCORE has many distinct features such as great capacity and high efficiency.
Ground-state Properties of Tonks-Girardeau Gas in One Dimensional Periodic Potential
Wang Zhao-Liang,Wang An-Min,Li Xue-Chao
Physics , 2012,
Abstract: The relations among the occupation number of the lowest natural orbital (ONLNO), momentum distributions (MD) and off-diagonal long-range element (ODLRE) of the reduced single-particle density matrix (RSPDM) are studied while Tonks-Girardeau gas in one dimensional periodic potential is in the ground state. For $N$-body systems of large enough, RSPDM and its lowest natural orbital do not vary with $N$ in overlapped areas in commensurate and incommensurate cases correspondingly. In commensurate case, the ODLRE is exponential attenuation with $N$, which results in that the ONLNO and MD are invariant with $N$. While in contrast, in incommensurate case, the off-diagonal elements are inversely proportional to $\sqrt{N}$, which results in the different behavior of the ONLNO and MD.
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