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Sep 21, 2013
09/13

by
Y. Zhang

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It is found that the radius of a stable strangelet decreases as the temperature increases in a quark mass density-dependent model. To overcome this difficulty, we extend this model to a quark mass density- and temperature- dependent model in which the vacuum energy density at zero baryon density limit B depends on temperature. An ansatz is introduced and the regions for the best choice of the parameters are studied.

Source: http://arxiv.org/abs/nucl-th/0203006v1

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2.0

Jun 30, 2018
06/18

by
Y. Zhang

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We first introduce the design parameters of the Beijing Electron-Positron Collider II (BEPCII) and the simulation study of beam-beam effects during the design process of the machine. The main advances since 2007 are briefly introduced and reviewed. The longitudinal feedback system was installed to suppress the coupled bunch instability in January 2010. The horizontal tune decreased from 6.53 to 6.508 during the course of data taken in December, 2010. The saturation of the beam-beam parameter...

Topics: Accelerator Physics, Physics

Source: http://arxiv.org/abs/1410.4057

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Sep 21, 2013
09/13

by
Y. Zhang

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By means of the quark mass density- and temperature- dependent model, it is found that the negative charge and the higher strangeness fraction are in favor of the stability of strange quark matter at finite temperature. A critical baryon number density n_Bc has been found. The strange quark matter is unstable when n_B < n_Bc. The charge and strangeness fraction dependence of stability for strange quark matter is addressed.

Source: http://arxiv.org/abs/nucl-th/0203007v1

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Sep 21, 2013
09/13

by
Y. Zhang

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This paper builds up two equivalence theorems for different kinds of optimal control problems of internally controlled Schr\"{o}dinger equations. The first one concerns with the equivalence of the minimal norm and the minimal time control problems. (The minimal time control problems are also called the first type of optimal time control problems.) The targets of the aforementioned two kinds of problems are the origin of the state space. The second one deals with the equivalence of three...

Source: http://arxiv.org/abs/1301.6321v1

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Sep 19, 2013
09/13

by
Y. Zhao; Y. Zhang

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The automated classification of objects from large catalogues or survey projects is an important task in many astronomical surveys. Faced with various classification algorithms, astronomers should select the method according to their requirements. Here we describe several kinds of decision trees for finding active objects by multi-wavelength data, such as REPTree, Random Tree, Decision Stump, Random Forest, J48, NBTree, AdTree. All decision tree approaches investigated are in the WEKA package....

Source: http://arxiv.org/abs/0708.4274v1

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Jul 20, 2013
07/13

by
S. Voloshin; Y. Zhang

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We propose a new method to study transverse flow effects in relativistic nuclear collisions by Fourier analysis of the azimuthal distribution on an event-by-event basis in relatively narrow rapidity windows. The distributions of Fourier coefficients provide direct information on the magnitude and type of flow. Directivity and two dimensional sphericity tensor, widely used to analyze flow, emerge naturally in our approach, since they correspond to the distributions of the first and second...

Source: http://arxiv.org/abs/hep-ph/9407282v1

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Sep 21, 2013
09/13

by
H. Zheng; Y. Zhang

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With an exponentially increasing amount of astronomical data, the complexity and dimension of astronomical data are likewise growing rapidly. Extracting information from such data becomes a critical and challenging problem. For example, some algorithms can only be employed in the low-dimensional spaces, so feature selection and feature extraction become important topics. Here we describe the difference between feature selection and feature extraction methods, and introduce the taxonomy of...

Source: http://arxiv.org/abs/0709.0138v1

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Sep 20, 2013
09/13

by
Y. Zhang; Y. Zhao

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We compare the performance of Bayesian Belief Networks (BBN), Multilayer Perceptron (MLP) networks and Alternating Decision Trees (ADtree) on separating quasars from stars with the database from the 2MASS and FIRST survey catalogs. Having a training sample of sources of known object types, the classifiers are trained to separate quasars from stars. By the statistical properties of the sample, the features important for classification are selected. We compare the classification results with and...

Source: http://arxiv.org/abs/astro-ph/0612727v1

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Sep 21, 2013
09/13

by
G. Rüdiger; Y. Zhang

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The possibility that the magnetic shear-flow instability (MRI, Balbus-Hawley instability) might give rise to turbulence in a cylindric Couette flow is investigated through numerical simulations. The study is linear and the fluid flow is supposed to be incompressible and differentially rotating with a simple velocity profile with $\Omega = a+b/R^2$. The simplicity of the model is counterbalanced by the fact that the study is fully global in all three spatial directions with boundaries on each...

Source: http://arxiv.org/abs/astro-ph/0104302v1

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Sep 23, 2013
09/13

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M. P. Blencowe; Y. Zhang

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We consider the possibility of using a micromechanical gate electrode located just above the island of a single-electron transistor to measure directly the fluctuating island charge due to tunnelling electrons.

Source: http://arxiv.org/abs/cond-mat/0109208v1

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Sep 17, 2013
09/13

by
M. L. Tong; Y. Zhang

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The polarization vector (PV) of an electromagnetic wave (EW) will experience a rotation in a region of spacetime perturbed by gravitational waves (GWs). Based on this idea, Cruise's group has built an annular waveguide to detect GWs. We give detailed calculations of the rotations of the polarization vector of an EW caused by incident GWs from various directions and in various polarization states, and then analyze the accumulative effects on the polarization vector when the EW passes n cycles...

Source: http://arxiv.org/abs/0711.4909v1

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Sep 23, 2013
09/13

by
T. Y. Xia; Y. Zhang

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In seeking a model solving the coincidence problem, the effective Yang-Mills condensate (YMC) is an alternative candidate for dark energy. A study is made for the model up to the 2-loop order of quantum corrections. It is found that, like in the 1-loop model, for generic initial conditions during the radiation era, there is always a desired tracking solution, yielding the current status $\Omega_\Lambda \simeq 0.73$ and $\Omega_m \simeq 0.27$. As the time $t\to \infty$ the dynamics is a stable...

Source: http://arxiv.org/abs/0710.0077v1

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Sep 19, 2013
09/13

by
S. A. Fenner; Y. Zhang

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We show that several problems that figure prominently in quantum computing, including Hidden Coset, Hidden Shift, and Orbit Coset, are equivalent or reducible to Hidden Subgroup for a large variety of groups. We also show that, over permutation groups, the decision version and search version of Hidden Subgroup are polynomial-time equivalent. For Hidden Subgroup over dihedral groups, such an equivalence can be obtained if the order of the group is smooth. Finally, we give nonadaptive program...

Source: http://arxiv.org/abs/cs/0610086v2

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Sep 19, 2013
09/13

by
Y. Zhang; X. -W. Liu

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We have obtained medium-resolution, deep optical long-slit spectra of the bulge planetary nebula (PN) M 2-24. The spectrum covers the wavelength range from 3610--7330 A. Over two hundred emission lines have been detected. The spectra show a variety of optical recombination lines (ORLs) from C, N, O and Ne ions. The diagnostic diagram shows significant density and temperature variations across the nebula. Our analysis suggests that the nebula has a dense central emission core. The nebula was...

Source: http://arxiv.org/abs/astro-ph/0304011v1

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Sep 23, 2013
09/13

by
T. Y. Xia; Y. Zhang

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We present an approximate, analytical calculation of the reionized spectra $C_l^{XX}$ of cosmic microwave background radiation (CMB) anisotropies and polarizations generated by relic gravitational waves (RGWs). Three simple models of reionization are explored, whose visibility functions are fitted by gaussian type of functions as approximations. We have derived the analytical polarization $\beta_l$ and temperature anisotropies $\alpha_l$, both consisting of two terms proportional to RGWs at the...

Source: http://arxiv.org/abs/0903.3159v2

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Sep 21, 2013
09/13

by
G. J. Morrow; Y. Zhang

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Let L_n denote the lowest crossing of a square 2n\times2n box for critical site percolation on the triangular lattice imbedded in Z^2. Denote also by F_n the pioneering sites extending below this crossing, and Q_n the pivotal sites on this crossing. Combining the recent results of Smirnov and Werner [Math. Res. Lett. 8 (2001) 729-744] on asymptotic probabilities of multiple arm paths in both the plane and half-plane, Kesten's [Comm. Math. Phys. 109 (1987) 109-156] method for showing that...

Source: http://arxiv.org/abs/math/0508459v1

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Sep 19, 2013
09/13

by
F. Huang; Z. Y. Zhang

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The chiral SU(3) quark model is extended to include the coupling between the quark and vector chiral fields. The one-gluon exchange (OGE) which dominantly governs the short-range quark-quark interaction in the original chiral SU(3) quark model is now nearly replaced by the vector-meson exchange. Using this model, the isospin I=0 and I=1 kaon-nucleon S, P, D, F wave phase shifts are dynamically studied by solving the resonating group method (RGM) equation. Similar to those given by the original...

Source: http://arxiv.org/abs/nucl-th/0507025v1

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Sep 19, 2013
09/13

by
H. X. Miao; Y. Zhang

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We include the effect of neutrino free streaming into the spectrum of relic gravitational waves (RGWs) in the currently accelerating universe. For the realistic case of a varying fractional neutrino energy density and a non-vanishing derivative of mode function at the neutrino decoupling, the integro-differential equation of RGWs is solved by a perturbation method for the period from the neutrino decoupling to the matter-dominant stage. Incorporating it to the analytic solution of the whole...

Source: http://arxiv.org/abs/astro-ph/0703602v1

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Sep 21, 2013
09/13

by
Y. Zhang; X-W. Liu

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We have determined fluorine abundances from the F II 4789 and F IV 4060 nebular emission lines for a sample of planetary nebulae (PNe). Our results show that fluorine is generally overabundant in PNe, thus providing new evidence for the synthesis of fluorine in asymptotic giant branch (AGB) stars. [F/O] is found to be positively correlated with the C/O abundance ratio, in agreement with the predictions of theoretical models of fluorine production in thermally pulsing AGB stars. A large...

Source: http://arxiv.org/abs/astro-ph/0508339v1

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Sep 22, 2013
09/13

by
F. Huang; Z. Y. Zhang

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The isospin I=0 and I=1 kaon-nucleon $S$, $P$, $D$, $F$ wave phase shifts are studied in the chiral SU(3) quark model by solving the resonating group method (RGM) equation. The calculated phase shifts for different partial waves are in agreement with the experimental data. Furthermore, the structures of the $\Delta K$ states with L=0, I=1 and I=2 are investigated. We find that the interaction between $\Delta$ and $K$ in the case of L=0, I=1 is attractive, which is not like the situation of the...

Source: http://arxiv.org/abs/nucl-th/0409029v4

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Sep 22, 2013
09/13

by
K. Liu; X. Y. Zhang

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Recently, materials exhibiting colossal dielectric constant ($CDC$) have attracted significant attention because of their high dielectric constant and potential applications in electronic devices, such as high dielectric capacitors, capacitor sensors, random access memories and so on.

Source: http://arxiv.org/abs/0805.3943v2

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Sep 22, 2013
09/13

by
T. Y. Xia; Y. Zhang

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We present an analytical calculation of the spectra of CMB anisotropies and polarizations generated by relic gravitational waves (RGWs). As a substantial extension to the previous studies, three new ingredients are included in this work. Firstly, the analytic $C_l^{TT}$ and $C_l^{TE}$ are given; especially the latter can be useful to extract signal of RGWs from the observed data in the zero multipole method. Secondly, a fitting formula of the decaying factor on small scales is given, coming...

Source: http://arxiv.org/abs/0811.4008v1

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Sep 18, 2013
09/13

by
Y. Zhang; X. -W. Liu

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We have analyzed the [Fe II] and [Ni II] emission lines in the bipolar planetary nebula Mz~3. We find that the [Fe II] and [Ni II] lines arise exclusively from the central regions. Fluorescence excitation in the formation process of these lines is negligible for this low-excitation nebula. From the [Fe II]/[Ni II] ratio, we obtain a higher Fe/Ni abundance ratio with respect to the solar value. The current result provides further supporting evidence for Mz 3 as a symbiotic Mira.

Source: http://arxiv.org/abs/astro-ph/0605180v1

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Sep 23, 2013
09/13

by
F. Huang; Z. Y. Zhang

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By use of the resonating group method, the Delta K, Lambda K, and Sigma K states are further dynamically studied in the extended chiral SU(3) quark model based on our previous work. Similar to the results given by the original chiral SU(3) quark model, the calculated results here still show that the interactions of Delta K with isospin I=1 and Sigma K with isospin I=1/2 are attractive, which can consequently lead to Delta K and Sigma K quasibound states. When the channel coupling of Lambda K...

Source: http://arxiv.org/abs/nucl-th/0511057v2

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Sep 22, 2013
09/13

by
Q. Ding; G. Feng; Y. Zhang

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} In this article, we put forward a Neumann eigenvalue problem for the bi-harmonic operator $\Delta^2$ on a bounded smooth domain $\Om$ in the Euclidean $n$-space ${\bf R}^n$ ($n\ge2$) and then prove that the corresponding first non-zero eigenvalue $\Upsilon_1(\Om)$ admits the isoperimetric inequality of Szeg\"o-Weinberger type: $\Upsilon_1(\Om)\le \Upsilon_1(B_{\Om})$, where $B_{\Om}$ is a ball in ${\bf R}^n$ with the same volume of $\Om$. The isoperimetric inequality of...

Source: http://arxiv.org/abs/1101.5224v1

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Sep 23, 2013
09/13

by
C. A. Dominguez; M. Loewe; Y. Zhang

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We consider the light-quark axial-vector current correlator in the framework of thermal QCD sum rules to: (a) find a relation between chiral-symmetry restoration and deconfinement, and (b) determine the temperature behaviour of the $a_1(1260)$ width and coupling. Our results show that deconfinement takes place at a slightly lower temperature than chiral-symmetry restoration.This difference is not significant given the accuracy of the method. The behaviour of the $a_1(1260)$ parameters is...

Source: http://arxiv.org/abs/1212.2241v1

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0.0

Jun 29, 2018
06/18

by
Richard Y. Zhang; Jacob K. White

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We consider the solution of linear saddle-point problems, using the alternating direction method-of-multipliers (ADMM) as a preconditioner for the generalized minimum residual method (GMRES). We show, using theoretical bounds and empirical results, that ADMM is made remarkably insensitive to the parameter choice with Krylov subspace acceleration. We prove that ADMM-GMRES can consistently converge, irrespective of the exact parameter choice, to an $\epsilon$-accurate solution of a...

Topics: Optimization and Control, Mathematics

Source: http://arxiv.org/abs/1602.02135

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Sep 18, 2013
09/13

by
H. Ritter; U. Kolb; Z. -Y. Zhang

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We study the reaction of low-mass stars to anisotropic irradiation and its importance for the long-term evolution of compact binaries binaries. We show by means of a simple homology model that if the energy outflow through the surface layers of a low-mass main sequence star is blocked over a fraction s_eff < 1 of its surface it will inflate only modestly and that the maximum contribution to mass transfer is s_eff times what one obtains in the isotropic case. The duration of this mass...

Source: http://arxiv.org/abs/astro-ph/0005480v1

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Sep 24, 2013
09/13

by
Yufang Wang; Y. Zhang; N. P. Ong

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We demonstrate a catalytic control method for speeding up the single-molecule DNA motor introduced by Li and Tan [Nano Lett. {\bf 2}, 315 (2002)]. A key rate-limiting barrier in the reaction part of the cycle is the tendency for the second fuel strand $B$ to fold into the chair-like configuration of the original motor strand $M$. This seriously impedes the restoration reaction. We have designed a catalytic strand to inhibit the folding of $B$. Introduction of the catalyst speeds up the...

Source: http://arxiv.org/abs/cond-mat/0412287v2

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Sep 18, 2013
09/13

by
Y. Zhang; M. Matsuo; J. Meng

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The giant halos predicted in neutron-rich Zr isotopes with $A=124-138$ are investigated by using the self-consistent continuum Skyrme Hartree-Fock-Bogoliubov approach, in which the asymptotic behavior of continuum quasiparticle states is properly treated by the Green's function method. We study in detail the neutron pair correlation involved in the giant halo by analyzing the asymptotic exponential tail of the neutron pair condensate (pair density) in addition to that of the neutron particle...

Source: http://arxiv.org/abs/1209.5263v1

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Sep 20, 2013
09/13

by
D. J. Reilly; Y. Zhang; L. DiCarlo

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We describe a phenomenological model for the conductance feature near $0.7 \times 2e^2/h$ that occurs in quantum point contacts. We focus on the transconductance at finite source-drain bias and contrast our model with the results expected from a single-particle picture. Good agreement is seen in comparing the model with experimental data, taken on ultra-low-disorder GaAs induced electron systems. Although simple, our phenomenology suggests important boundary conditions for an underlying...

Source: http://arxiv.org/abs/cond-mat/0601135v1

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Sep 19, 2013
09/13

by
A. Finoguenov; H. Boehringer; Y. Zhang

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We carry out a two-dimensional study of temperature, entropy and pressure distributions in a nearly volume-limited subsample of REFLEX clusters at redshift 0.3, the REFLEX-DXL. We use the observations gained by XMM-Newton, which cover the central 1-2 x r500. We define the substructure in both entropy and pressure as a deviation from the mean profile of the sample. The non-parametric locally weighted regression suggests a broken power law approximation to the entropy profile with inner and outer...

Source: http://arxiv.org/abs/astro-ph/0507452v1

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Sep 23, 2013
09/13

by
R. H. C. Yap; Y. Zhang

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In this paper, we show that there is a close relation between consistency in a constraint network and set intersection. A proof schema is provided as a generic way to obtain consistency properties from properties on set intersection. This approach not only simplifies the understanding of and unifies many existing consistency results, but also directs the study of consistency to that of set intersection properties in many situations, as demonstrated by the results on the convexity and tightness...

Source: http://arxiv.org/abs/1110.2203v1

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Jul 20, 2013
07/13

by
Y. Zhang; T. Y. Xia; W. Zhao

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The coincidence problem is studied for the dark energy model of effective Yang-Mills condensate in a flat expanding universe during the matter-dominated stage. The YMC energy $\rho_y(t)$ is taken to represent the dark energy, which is coupled either with the matter, or with both the matter and the radiation components. The effective YM Lagrangian is completely determined by quantum field theory up to 1-loop order. It is found that under very generic initial conditions and for a variety of forms...

Source: http://arxiv.org/abs/gr-qc/0609115v1

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Sep 19, 2013
09/13

by
Y. Zhang; B. Ercolano; X. -W. Liu

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Aims: We investigate temperature fluctuations in H II regions in terms of a two-phase model, which assumes that the nebular gas consists of a hot and a cold phase. Methods: We derive general formulae for T([O III), the [O III] forbidden line temperature, and T(H I), the hydrogen Balmer jump temperature, in terms of the temperatures of the hot and cold phases, T_h and T_c. Results: For large temperature differences, the values of t2 required to account for the observed difference between T([O...

Source: http://arxiv.org/abs/astro-ph/0701139v1

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Sep 23, 2013
09/13

by
Y. Zhang; S. G. Wu; W. Zhao

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We compute the gravitational radiation of the supermassive binary black hole OJ287. By fitting the data of its recent seven outbursts, we obtain the orbital motion up to 3.5PN (Post-Newtonian) order, the energy and angular momentum fluxes and the waveform up to the 2PN. It is found that the 1PN term of the energy flux, has an opposite sign to the Newtonian flux, and the 2PN term has an opposite sign to the 1PN one. The same pattern is also found for the angular momentum fluxes. The total flux...

Source: http://arxiv.org/abs/1305.1122v1

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Jul 20, 2013
07/13

by
Y. Zhang; R. Kitai; K. Takizawa

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We present a new methodology which can determine magnetic helicity transport by the passage of helical magnetic field lines from sub-photosphere and the shuffling motions of foot-points of preexisting coronal field lines separately. It is well known that only the velocity component which is perpendicular to the magnetic field ($\upsilon_{\perp B}$) has contribution to the helicity accumulation. Here, we demonstrate that $\upsilon_{\perp B}$ can be deduced from horizontal motion and vector...

Source: http://arxiv.org/abs/1203.2096v1

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Sep 20, 2013
09/13

by
C. A. Dominguez; M. Loewe; Y. Zhang

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The light-quark correlator in the axial-vector channel is used, in conjunction with finite energy QCD sum rules at finite temperature, in order to (a) establish a relation between chiral-symmetry restoration and deconfinement, and (b) determine the temperature behavior of the $a_1(1260)$ width and coupling. Results indicate that deconfinement takes place at a slightly lower temperature than chiral-symmetry restoration, although this difference is not significant given the accuracy of the...

Source: http://arxiv.org/abs/1205.3361v3

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Sep 17, 2013
09/13

by
H. Mäkelä; Y. Zhang; K. -A. Suominen

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We investigate the structure of topological defects in the ground states of spinor Bose-Einstein condensates with spin F=1 or F=2. The type and number of defects are determined by calculating the first and second homotopy groups of the order-parameter space. The order-parameter space is identified with a set of degenerate ground state spinors. Because the structure of the ground state depends on whether or not there is an external magnetic field applied to the system, defects are sensitive to...

Source: http://arxiv.org/abs/cond-mat/0305497v2

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Sep 18, 2013
09/13

by
B. Drabant; A. Van Daele; Y. Zhang

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For an action $\alpha$ of a group $G$ on an algebra $R$ (over $\Bbb C$), the crossed product $R\times_\alpha G$ is the vector space of $R$-valued functions with finite support in $G$, together with the twisted convolution product given by $$(\xi \eta)(p) = \sum_{q \in G} \xi(q) \alpha_q (\eta (q^{-1}p))$$ where $p\in G$. This construction has been extended to the theory of Hopf algebras. Given an action of a Hopf algebra $A$ on an algebra $R$, it is possible to make the tensor product $R\ot A$...

Source: http://arxiv.org/abs/math/9803005v1

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Jun 28, 2018
06/18

by
Z. Wang; L. Li; Y. Zhang

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In this paper, we study the Green ring and the stable Green ring of a Hopf algebra $H$ by means of bilinear forms. We show that the Green ring of a Hopf algebra of finite representation type is a Frobenius algebra over $\mathbb{Z}$ with a dual basis associated to almost split sequences. On the stable Green ring we define a new bilinear form which is more accurate to determine the bi-Frobenius property of the stable Green ring. We show that the complexified stable Green ring (or algebra) is a...

Topics: Quantum Algebra, Representation Theory, Mathematics

Source: http://arxiv.org/abs/1512.05621

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Jun 29, 2018
06/18

by
Richard Y. Zhang; Jacob K. White

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We consider the sequence acceleration problem for the alternating direction method-of-multipliers (ADMM) applied to a class of equality-constrained problems with strongly convex quadratic objectives, which frequently arise as the Newton subproblem of interior-point methods. Within this context, the ADMM update equations are linear, the iterates are confined within a Krylov subspace, and the General Minimum RESidual (GMRES) algorithm is optimal in its ability to accelerate convergence. The basic...

Topics: Optimization and Control, Numerical Analysis, Mathematics

Source: http://arxiv.org/abs/1601.06200

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Sep 19, 2013
09/13

by
W. Zhao; Y. Zhang; M. L. Tong

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We review the quantum Yang-Mills condensate (YMC) dark energy models. As the effective Yang-Mills Lagrangian is completely determined by the quantum field theory, there is no adjustable parameter in the model except the energy scale. In this model, the equation-of-state (EOS) of the YMC dark energy, $w_y > -1$ and $w_y < -1$, can both be naturally realized. By studying the evolution of various components in the model, we find that, in the early stage of the universe, dark energy tracked...

Source: http://arxiv.org/abs/0909.3874v2

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Sep 19, 2013
09/13

by
Y. Zhang; Y. Zhao; D. Gao

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With the availability of multiwavelength, multiscale and multiepoch astronomical catalogues, the number of features to describe astronomical objects has increases. The better features we select to classify objects, the higher the classification accuracy is. In this paper, we have used data sets of stars and quasars from near infrared band and radio band. Then best-first search method was applied to select features. For the data with selected features, the algorithm of decision table was...

Source: http://arxiv.org/abs/0708.4273v1

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Sep 23, 2013
09/13

by
X. Du; Y. Zhang; J. E. Thomas

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We report the measurement of inelastic three-body and two-body collisional decay rates for a two-component Fermi gas of $^6$Li, which are highly suppressed by the Pauli exclusion principle. Our measurements are made in the BEC-BCS crossover regime, near the two-body collisional (Feshbach) resonance. At high temperature (energy) the data shows a dominant three-body decay process, which is studied as a function of bias magnetic field. At low energy, the data shows a coexistence of two-body and...

Source: http://arxiv.org/abs/0903.1804v1

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Jun 28, 2018
06/18

by
J. He; F. Van Oystaeyen; Y. Zhang

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Let $H$ be a finite dimensional Hopf algebra, and let $A$ be a left $H$-module algebra. Motivated by the study of the isolated singularities of $A^H$ and the endomorphism ring $\mathrm{End}_{A^H}(A)$, we introduce the concept of Hopf dense Galois extensions in this paper. Hopf dense Galois extensions yield certain equivalences between the quotient categories over $A$ and $A^H$. A special class of Hopf dense Galois extensions consits of the so-called densely group graded algebras, which are...

Topics: Mathematics, Rings and Algebras

Source: http://arxiv.org/abs/1512.07439

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Sep 23, 2013
09/13

by
Y. Choi; F. Ghahramani; Y. Zhang

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We continue the investigation of notions of approximate amenability that were introduced in work of the second and third authors. It is shown that every boundedly approximately contractible Banach algebra has a bounded approximate identity. Among our other results, it is shown that the Fourier algebra of the free group on two generators is not approximately amenable. Further examples are obtained of ${\ell}^1$-semigroup algebras which are approximately amenable but not amenable; using these, we...

Source: http://arxiv.org/abs/0801.3415v2

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Jun 28, 2018
06/18

by
Anderson Y. Zhang; Harrison H. Zhou

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Recently network analysis has gained more and more attentions in statistics, as well as in computer science, probability, and applied mathematics. Community detection for the stochastic block model (SBM) is probably the most studied topic in network analysis. Many methodologies have been proposed. Some beautiful and significant phase transition results are obtained in various settings. In this paper, we provide a general minimax theory for community detection. It gives minimax rates of the...

Topics: Social and Information Networks, Statistics, Statistics Theory, Computing Research Repository,...

Source: http://arxiv.org/abs/1507.05313