Security has been regarded as one of the hardest problems in the development of cloud computing. This paper proposes an AllianceAuthentication protocol among Hybrid Clouds that include multiple private clouds and/or p...Security has been regarded as one of the hardest problems in the development of cloud computing. This paper proposes an AllianceAuthentication protocol among Hybrid Clouds that include multiple private clouds and/or public clouds. Mu tual authentication protocol among entities in the IntraCloud and InterCloud is proposed. Blind signature and bilinear mapping of automorphism groups are adopted to achieve the InterCloud Alli anceAuthentication, which overcome the complexi ty of certificate transmission and the problem of communication bottlenecks that happen in tradi tional certificatebased scheme. Blind key, instead of private key, is adopted for register, which avoids展开更多
Apodisation technology is introduced to optimize fiber Bragg grating based on the analysis of reflectivity spectrum and group delay response of fiber Bragg gratings. The characteristics of Hamming, Gauss and super-Gau...Apodisation technology is introduced to optimize fiber Bragg grating based on the analysis of reflectivity spectrum and group delay response of fiber Bragg gratings. The characteristics of Hamming, Gauss and super-Gauss functions are discussed and the optimization effects of the three apodisation functions on ripple smoothness of reflectivity spectrum,group delay and linear degree are compared respectively. As a result,the optimization effects of Hamming function is better than other two functions. When the bandwidth is less than ldB,Super-Gauss function is the best choice and proper parameters （G and m） of super-Gauss function can be selected expediently for wider bandwidth and better ripple smoothness of reflectivitv soectrum.展开更多
The influences of hyperon-hyperon interaction on the overall properties of hadronic star are investigated in the framework of relativistic mean field （RMF） theory. For certain hyperon coupling, the weaker hyperon-hy...The influences of hyperon-hyperon interaction on the overall properties of hadronic star are investigated in the framework of relativistic mean field （RMF） theory. For certain hyperon coupling, the weaker hyperon-hyperon interaction can lead to the heavier hadronic star, which accords with the observation of heavy neutron star in X-ray binaries. We find that the threshold densities of the hyperons with larger masses are brought to a lower values with the increase of the hyperon-hyperon interaction. The possibility of the existence of hyperon star is checked with the consideration of hyperon-hyperon interaction.展开更多
It is shown that the Pinney equation, Ermakov systems, and their higher-order generalizations describeself-similar solutions of plane curve motions in centro-affine and affine geometries.
Let S be a Riemann surface with genus p and n punctures. Assume that 3p- 3 ＋ n 〉 0 and n 〉 1. Let a be a puncture of S and let S = S∪{α}. Then all mapping classes in the mapping class group Mods that fixes the pu...Let S be a Riemann surface with genus p and n punctures. Assume that 3p- 3 ＋ n 〉 0 and n 〉 1. Let a be a puncture of S and let S = S∪{α}. Then all mapping classes in the mapping class group Mods that fixes the puncture a can be projected to mapping classes of Mod$ under the forgetful map. In this paper the author studies the mapping classes in Mods that can be projected to a given hyperbolic mapping class in Mode.展开更多
The Lie algebra of derivations of rational function field C(t) is C(t) dt/d.The automorphism group of C(t) is well known as to be isomorphic to the projective linear groupPGL(2, C). In this short note we prove that ev...The Lie algebra of derivations of rational function field C(t) is C(t) dt/d.The automorphism group of C(t) is well known as to be isomorphic to the projective linear groupPGL(2, C). In this short note we prove that every automorphism of C(t) dt/d can be induced in anatural way from an automorphism of C(t).展开更多
LetG = SLn(C)Cn be the (special) affine group. In this paper we study the representation theory of G and in particular the question of rationality for V/G, where V is a generically free G-representation. We show that ...LetG = SLn(C)Cn be the (special) affine group. In this paper we study the representation theory of G and in particular the question of rationality for V/G, where V is a generically free G-representation. We show that the answer to this question is positive (Theorem 6.1) if the dimension of V is sufficiently large and V is indecomposable. We explicitly characterize two-step extensions 0 → S → V → Q → 0, with completely reducible S and Q, whose rationality cannot be obtained by the methods presented here (Theorem 5.3).展开更多
Using the theory of harmonic maps the authors discuss theproperties of the fundamental group of a complete nonpositivelycurved Riemannian manifold, and prove that the finitely generatedvirtual solvable subgroup of fun...Using the theory of harmonic maps the authors discuss theproperties of the fundamental group of a complete nonpositivelycurved Riemannian manifold, and prove that the finitely generatedvirtual solvable subgroup of fundamental group of a completenonpositively curved Riemannian manifold either is a peripheralsubgroup of fundamental group or can be realized by animmersed totall geodesic closed flat manifold. It generalizessome results of Gromoll-Wolf, Lawson-Yan and Schoen-Yau.展开更多
基金the National Natural Science Foundation of China，the Innovation Group Project of Beijing Institute of Technology
文摘Security has been regarded as one of the hardest problems in the development of cloud computing. This paper proposes an AllianceAuthentication protocol among Hybrid Clouds that include multiple private clouds and/or public clouds. Mu tual authentication protocol among entities in the IntraCloud and InterCloud is proposed. Blind signature and bilinear mapping of automorphism groups are adopted to achieve the InterCloud Alli anceAuthentication, which overcome the complexi ty of certificate transmission and the problem of communication bottlenecks that happen in tradi tional certificatebased scheme. Blind key, instead of private key, is adopted for register, which avoids
文摘Apodisation technology is introduced to optimize fiber Bragg grating based on the analysis of reflectivity spectrum and group delay response of fiber Bragg gratings. The characteristics of Hamming, Gauss and super-Gauss functions are discussed and the optimization effects of the three apodisation functions on ripple smoothness of reflectivity spectrum,group delay and linear degree are compared respectively. As a result,the optimization effects of Hamming function is better than other two functions. When the bandwidth is less than ldB,Super-Gauss function is the best choice and proper parameters （G and m） of super-Gauss function can be selected expediently for wider bandwidth and better ripple smoothness of reflectivitv soectrum.
文摘The influences of hyperon-hyperon interaction on the overall properties of hadronic star are investigated in the framework of relativistic mean field （RMF） theory. For certain hyperon coupling, the weaker hyperon-hyperon interaction can lead to the heavier hadronic star, which accords with the observation of heavy neutron star in X-ray binaries. We find that the threshold densities of the hyperons with larger masses are brought to a lower values with the increase of the hyperon-hyperon interaction. The possibility of the existence of hyperon star is checked with the consideration of hyperon-hyperon interaction.
文摘It is shown that the Pinney equation, Ermakov systems, and their higher-order generalizations describeself-similar solutions of plane curve motions in centro-affine and affine geometries.
文摘Let S be a Riemann surface with genus p and n punctures. Assume that 3p- 3 ＋ n 〉 0 and n 〉 1. Let a be a puncture of S and let S = S∪{α}. Then all mapping classes in the mapping class group Mods that fixes the puncture a can be projected to mapping classes of Mod$ under the forgetful map. In this paper the author studies the mapping classes in Mods that can be projected to a given hyperbolic mapping class in Mode.
文摘The Lie algebra of derivations of rational function field C(t) is C(t) dt/d.The automorphism group of C(t) is well known as to be isomorphic to the projective linear groupPGL(2, C). In this short note we prove that every automorphism of C(t) dt/d can be induced in anatural way from an automorphism of C(t).
基金supported by the Natural Science Foundation of USA (Grant No. DMS 0701578)supported by the German Research Foundation (Deutsche Forschungsgemeinschaft (DFG)) through the Institutional Strategy of the University of Gttingen
文摘LetG = SLn(C)Cn be the (special) affine group. In this paper we study the representation theory of G and in particular the question of rationality for V/G, where V is a generically free G-representation. We show that the answer to this question is positive (Theorem 6.1) if the dimension of V is sufficiently large and V is indecomposable. We explicitly characterize two-step extensions 0 → S → V → Q → 0, with completely reducible S and Q, whose rationality cannot be obtained by the methods presented here (Theorem 5.3).
文摘Using the theory of harmonic maps the authors discuss theproperties of the fundamental group of a complete nonpositivelycurved Riemannian manifold, and prove that the finitely generatedvirtual solvable subgroup of fundamental group of a completenonpositively curved Riemannian manifold either is a peripheralsubgroup of fundamental group or can be realized by animmersed totall geodesic closed flat manifold. It generalizessome results of Gromoll-Wolf, Lawson-Yan and Schoen-Yau.
