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1002.0744v2 | Applications of the graphs to the Generalized Ornstein-Uhlenbeck process | We consider the generalized Ornstein- Uhlenbeck equation $\partial_t X=-m X_t+\eta$. In this paper We construct the Lévy noise $\eta$. The generalized Ornstein- Uhlenbeck process $X_t$ will be represented by a special types of graphs called rooted trees with two types of leaves. | Probability (math.PR) | This paper has been withdrawn by the author due to a crucial sign error in equation7 | factual/methodological/other critical errors in manuscript | 741 |
1002.1610v2 | Skew characters which contain only few components | Wrong assumptions were made in the proof of Theorem 3.12 and Lemma 3.6. A preprint containing a correct proof for Lemma 3.6 is in preparation and will be uploaded later this month. So the results of section 3 are correct, apart from Theorem 3.12 and the remarks following Theorem 3.12. | Combinatorics (math.CO) | Wrong assumptions were made in the proof of Theorem 3.12 and Lemma 3.6. A preprint containing a correct proof for Lemma 3.6 is in preparation and will be uploaded later this month. So the results of section 3 are correct, apart from Theorem 3.12 and the remarks following Theorem 3.12 | factual/methodological/other critical errors in manuscript | 748 |
1002.1941v5 | Construction of a renormalizable perturbative expansion for General Relativity | Every field theory, to have some hope of being renormalizable, has to be defined by a lagrangian which terms never exceed the mass dimensions [mass]^4. The dimension of a field is given by one half of four minus the number of derivatives in its kinetic term. This is strictly related to the mass dimensions of the coupli... | General Physics (physics.gen-ph) | This paper has been withdrawn by the author due to a crucial sign error in equation 1 | factual/methodological/other critical errors in manuscript | 750 |
1002.2004v3 | Generalized external cone condition for domains in manifolds | This note is dedicated to the study of the solvability of the Dirichlet problem in Riemannian manifolds. In particular, we discuss the p-regularity (regularity relative to the p-laplacian) of domains of the form I = O-K, where O is a regular domain and K is a regular submanifold of variable codimension giving a geometr... | Analysis of PDEs (math.AP) | This paper has been withdrawn by the author. Some of the results are not correct | factual/methodological/other critical errors in manuscript | 753 |
1002.2267v5 | On integrals of fractional parts and the theory of prime differences | In this paper we study the integrals of fractional parts of given functions, and develop some new tools to understand the behaviour of prime differences. We demonstrate how simply some seemingly difficult conjectures related to prime differences can be dealt with. Some, good results discussed here includes, the well kn... | General Mathematics (math.GM) | I have not been able to implement the intuition behind my ideas in a rigorous manner. Withdrawing due to errors in the paper | factual/methodological/other critical errors in manuscript | 756 |
1002.2395v4 | Newton's Inequalities on a Lattice | Functions that satisfy the Hadamard Fisher Inequalities also satisfy Newton's Inequalities | Combinatorics (math.CO) | This paper has been withdrawn due to an error in the statement of lemma 8. | factual/methodological/other critical errors in manuscript | 757 |
1002.2410v2 | Contextuality offers security | The discovery of quantum key distribution by Bennett and Brassard (BB84) bases on the fundamental quantum feature: incompatibility of measurements of quantum non-commuting observables. In 1991 Ekert showed that cryptographic key can be generated at a distance with help of entangled (correlated) quantum particles. Recen... | Quantum Physics (quant-ph) | This paper has been withdrawn by the authors due to crucial error in the proof. A significantly revised version has appeared as arXiv:1006.0468 | factual/methodological/other critical errors in manuscript | 758 |
1002.2695v2 | An Unconditional large gap between the Zeros of the Riemann Zeta-Function and Existence of Conditional Large Gaps | In this paper, we prove the lower bound of the unconditional large gap is 3.5555 which improves the obtained value 3.079 in the literature. Next, on the hypothesis that the moments of the Hardy Z-function and its derivatives are correctly predicted we establish a new explicit formula of the gaps and use it to establish... | Number Theory (math.NT) | This paper has been withdrawn by the author. The inequality applied in this paper in not sharp | factual/methodological/other critical errors in manuscript | 761 |
1002.3071v2 | The effect of curvature and symmetry on stable stationary solutions in convex domains | We address the question of existence of nonconstant stable stationary solution to the heat equation on a class of convex domains subject to nonlinear boundary flux involving a positive parameter. Such solutions which were known to exist in dumbbell-type domains and not to exist in $N$-dimensional balls are shown to exi... | Analysis of PDEs (math.AP) | This paper has been withdrawn by the author due to a scaling error which invalidate the ilustration provided for the convex domain.. | factual/methodological/other critical errors in manuscript | 762 |
1002.3148v2 | A Model for the Pr1-xCaxMnO3 Series with x = 0.30-0.50 under Application of Weak Magnetic Fields | We introduce a proposal for explaining manganites behavior, in the Pr1-xCaxMnO3 series with x=0.30-0.50. We carry out computer simulations for the Oguchi model along with the crystal field contribution. We contrast the outcomings to experimental measurements made with a commercial magnetometer SQUID. For analyzing the ... | Strongly Correlated Electrons (cond-mat.str-el) | The unit system that has been utilized is wrong | factual/methodological/other critical errors in manuscript | 764 |
1002.4219v5 | Does a measurement really collapse the wave function? | A single-particle multi-branched wave-function is studied. Usual which-path tests show that if the detector placed on one branch clicks, the detectors on the other branches remain silent. By the collapse postulate, after this click, the state of the particle is reduced to a single branch, the branch on which the detect... | Quantum Physics (quant-ph) | This article is outdated. New researches show that the collapse hypothesis is correct. See the article "[REDACTED-NAME] and in Criticism of the Model of [REDACTED-NAME] Localization of the Wave-Function" to appear in JQIS vol. 10, no. 4, December 2020 | factual/methodological/other critical errors in manuscript | 772 |
1002.4365v2 | The $K$-theory spectrum of the reduced group $C^\ast$-algebra is a functor | We construct $C^\ast$-categories that are anologues of the categories used in controlled algebraic $K$-theory. We then show that the reduced $C^\ast$-algebra of a finitely presented group and an associated controlled $C^\ast$-category have equivalent $K$-theory spectra, and that, at least in certain special cases, the... | K-Theory and Homology (math.KT) | The paper has been withdrawn due to a crucial error. A restricted version of the result stated is still true, and will appear in due course. | factual/methodological/other critical errors in manuscript | 776 |
1002.4851v2 | Entire solutions of the Donaldson equation and complex Monge-Ampere equation | In this short note we shall construct infinite many nontrivial entire solutions to Donaldson equation and complex Monge-Ampere equation; in particular these examples give infinite many Kahler Ricci-flat but non-flat complete metrics on complex Euclidean spaces. We shall also prove a Liouville type theorem for entire so... | Analysis of PDEs (math.AP) | This paper is withdrawn by the author due to a blunder on the examples in Theorem 2.2 | factual/methodological/other critical errors in manuscript | 781 |
1003.0092v2 | Vortex-Antivortex Pair Unbinding Driven by the Spin Texture of a Ferromagnet-Superconductor Bilayer | We report the observation of a pronounced dip in the in-plane field (H//) dependence of the critical current density Jc(H) and a peak in resistance R(H) of a NbN-HoNi5 bilayer at temperatures below the magnetic ordering temperature (TCurie ~ 5.5 K) of HoNi5, which is lower than the onset temperature (~ 9 K) of supercon... | Superconductivity (cond-mat.supr-con) | This paper has been withdrawn by the author due to a crucial sign error in analysis | factual/methodological/other critical errors in manuscript | 787 |
1003.0212v2 | An Exact Solution to the Yukawa System in Four Dimensions | An exact, closed form solution to the scalar Yukawa system in four dimensions is presented. The formalism is used to state and prove a theorem on the initial value problem. The method also works for a general, iso-vector form of the interacting system. We close with some comments on the quantum version of this problem. | Mathematical Physics (math-ph) | This paper has been withdrawn by the author due to a conceptual error in the domain of definition of the proposed solution | factual/methodological/other critical errors in manuscript | 790 |
1003.0380v2 | A 2-dimensional Complex Kleinian Group With Infinite Lines in the Limit Set Lying in General Position | In this article we present an example of a discrete group $\Sigma_\C\subset PSL(3,\Bbb{R})$ whose action on $¶^2$ does no have invariant projective subspaces, is not conjugated to complex hyperbolic group and its limit set in the sense of Kulkarni on $\Bbb{P}^2_\Bbb{C}$ has infinite lines in general position. | Dynamical Systems (math.DS) | This paper has been withdrawn by the author due to a crucial sign error | factual/methodological/other critical errors in manuscript | 794 |
1003.0737v2 | Knots in homology spheres which have simple knot Floer homology are trivial | We show that if K is a non-trivial knot inside a homology sphere X, the rank of the knot Floer homology group associated with K is strictly bigger than the rank of the Heegaard Floer homology group associated with X. | Geometric Topology (math.GT) | This paper has been withdrawn by the author. The surgery formulas are used incorrectly for obtaining the main result of the paper | factual/methodological/other critical errors in manuscript | 798 |
1003.1884v4 | An optimal order error estimate for the variational discretization of optimal control problems in the presence of pointwise control and state constraints | We consider the variational discretization of a linear-quadratic optimal control problem with pointwise control and state constraints. In order to allow for a Fréchet smooth norm, the problem is reformulated by means of a reflexive Sobolev space instead of the space of continuous functions. The discretization of the st... | Optimization and Control (math.OC) | Withdrawn due to an error in the proof of Lemma 3.3 | factual/methodological/other critical errors in manuscript | 807 |
1003.2042v2 | Mannheim Partner D-Curves in Euclidean 3-space | In this paper we consider the idea of Mannheim partner curves for curves lying on surfaces and by considering the Darboux frames of them we define these curves as Mannheim partner D-curves and give the characterizations for these curves. We also find the relations between the geodesic curvatures, the normal curvatures... | Differential Geometry (math.DG) | 10 pages There are some mistakes in the proof of theorems. | factual/methodological/other critical errors in manuscript | 808 |
1003.2043v2 | Mannheim Partner D-Curves in Minkowski 3-space | In this paper, we give the definition, different types and characterizations of Mannheim partner D-curves in Minkowski 3-space. We find the relations between the geodesic curvatures, the normal curvatures and the geodesic torsions of these associated curves. Furthermore, we show that the definition and the characteriz... | Differential Geometry (math.DG) | 15 pages There are some mistakes in the proof of theorems. | factual/methodological/other critical errors in manuscript | 809 |
1003.2044v2 | Bertrand Partner D-Curves in Euclidean 3-space | In this paper we consider the idea of Bertrand curves for curves lying on surfaces and by considering the Darboux frames of them we define these curves as Bertrand D-curves and give the characterizations for these curves. We also find the relations between the geodesic curvatures, the normal curvatures and the geodesic... | Differential Geometry (math.DG) | 10 pages There are some mistakes in the proof of theorems. | factual/methodological/other critical errors in manuscript | 810 |
1003.2048v2 | Bertrand Partner D-Curves in Minkowski 3-space | In this paper, we consider the idea of Bertrand curves for curves lying on surfaces in Minkowski 3-space. By considering the Darboux frame, we define these curves as Bertrand D-curves and give the characterizations for those curves. We also find the relations between the geodesic curvatures, the normal curvatures and ... | Differential Geometry (math.DG) | 14 pages There are some mistakes in the proof of theorems. | factual/methodological/other critical errors in manuscript | 811 |
1003.2056v3 | From the Hamiltonian formalism to Spin-Foams | Starting from a BF-type formulation of General Relativity in the canonical formalism, we construct a physical scalar product with no restrictions for the boundary states that, for particular cases, reproduce the E.P.R. amplitude. | General Relativity and Quantum Cosmology (gr-qc) | This paper has been withdrawn by the author due to a crucial sign error in equation 1 | factual/methodological/other critical errors in manuscript | 812 |
1003.2200v5 | Lefschetz Fibrations on Compact Stein Manifolds | Here we prove that up to diffeomorphism every compact Stein manifold W of dimension 2n+2>4 admits a Lefschetz fibration over the two-disk with Stein regular fibers, such that the monodromy of the fibration is a symplectomorphism induced by compositions of right-handed Dehn twists along embedded Lagrangian n-spheres on ... | Geometric Topology (math.GT) | 33 pages, 11 figures (There is an error in resolving the double points of Lagrangian spheres.) | factual/methodological/other critical errors in manuscript | 814 |
1003.2705v2 | Generators of Picard modular groups | In this paper, we extend the method in [FFLP] to obtain the generators of the Picard modular groups $\mathbf{PU}(2,1;\mathcal {O}_d)$ with $d=3,7,11$. | Group Theory (math.GR) | This paper has been withdrawn by the author due to big errors in the cases when d=7,11 | factual/methodological/other critical errors in manuscript | 818 |
1003.2816v4 | Finite Rank Bratteli Diagrams and their Invariant Measures | In this paper we study ergodic measures on non-simple Bratteli diagrams of finite rank that are invariant with respect to the cofinal equivalence relation. We describe the structure of finite rank diagrams and prove that every ergodic invariant measure (finite or infinite) is an extension of a finite ergodic measure de... | Dynamical Systems (math.DS) | The paper has been withdrawn due to critical errors in Section 4, which also affected the proofs of Section 5 | factual/methodological/other critical errors in manuscript | 821 |
1003.3703v3 | Does Zeeman's Fine Topology Exist? | We work on the family of topologies for the Minkowski manifold M. We partially order this family by inclusion to form the lattice \Sigma(M), and focus on the sublattice Z of topologies that induce the Euclidean metric space on every time axis and every space axis. We analyze the bounds of Z in the lattice \Sigma(M), in... | Mathematical Physics (math-ph) | This paper has been withdrawn by the author due to a substancial error in equation 25, which does not hold true | factual/methodological/other critical errors in manuscript | 829 |
1003.4910v2 | On the representations of $N(T)$ via prime numbers | In this paper, under the RH, we give a new representation of $N(T)$ in term of sum of the logarithms of the powers of prime numbers and compute the difference between the new representation and Guinand representation. | General Mathematics (math.GM) | This paper has been withdrawn by the author due to a crucial error in the last page. | factual/methodological/other critical errors in manuscript | 845 |
1003.4948v3 | Generic points on exponential curves | We show, assuming Schanuel's conjecture, that every irreducible complex polynomial in two variables where both variables appear has infinitely many algebraically independent solutions of the form (z,e^z). | Number Theory (math.NT) | We withdraw the article due to a mistake in the proof of the main theorem. | factual/methodological/other critical errors in manuscript | 846 |
1003.5507v2 | Prüfer- like conditions in the amalgamated duplication of a ring along an ideal | In this paper, we consider five possible extensions of the Prüfer domain notion to the case of commutative rings with zero-divisors. We investigate the transfer of these Prüfer-like properties between a ring $R$ and $R\bowtie I$; his amalgamated duplication along some ideal $I$, and then generate new and original fami... | Commutative Algebra (math.AC) | This paper has been withdrawn by the author due to a gap in the proof of the main result | factual/methodological/other critical errors in manuscript | 854 |
1003.5739v4 | The Strengthened Hanna Neumann Conjecture I: A Combinatorial Proof | We prove the Strengthened Hanna Neumann Conjecture, in its common graph theoretic formulation. Our original approach to this conjecture used cohomology of sheaves on graphs, although here we give a short combinatorial proof that we found in a succession of simplifications of the cohomological approach. Our proof is ind... | Combinatorics (math.CO) | This has been withdrawn due to an error | factual/methodological/other critical errors in manuscript | 856 |
1003.6020v2 | More accurate approximations for the Gamma function | A series transformation idea inspired by a formula of R. W. Gosper and some asymptotic expansions for the central binomial coefficients leads us to new accurate approximations for the Gamma function. | Classical Analysis and ODEs (math.CA) | 12 pages. This paper has been withdrawn by the author due to an error in page 5 line 21 | factual/methodological/other critical errors in manuscript | 862 |
1004.0134v2 | Globally coupled chaotic maps with bistable behaviour: Large deviations | For a system of globally coupled chaotic maps with bistable behaviour we relate the rate function for large deviations in the system size at finite time to dynamical properties of the self consistent Perron-Frobenius operator (SCPFO) that describes the system in the infinite size limit. | Dynamical Systems (math.DS) | This paper has been withdrawn by the author due to a severe error in the proof of the main result and some (less severe) errors in section 2. A much less general version of the main theorem remains true, though | factual/methodological/other critical errors in manuscript | 864 |
1004.0354v2 | Rotational symmetry of 3D gradient steady Ricci solitons | This paper has been withdrawn by the author due to an error | Differential Geometry (math.DG) | This paper has been withdrawn by the author due to an error | factual/methodological/other critical errors in manuscript | 866 |
1004.0378v7 | Facial Expression Representation and Recognition Using 2DHLDA, Gabor Wavelets, and Ensemble Learning | In this paper, a novel method for representation and recognition of the facial expressions in two-dimensional image sequences is presented. We apply a variation of two-dimensional heteroscedastic linear discriminant analysis (2DHLDA) algorithm, as an efficient dimensionality reduction technique, to Gabor representation... | Computer Vision and Pattern Recognition (cs.CV) | This paper has been withdrawn by the author due to an error in experimental results | factual/methodological/other critical errors in manuscript | 867 |
1004.1040v2 | Dimer Smectic in Extended Quantum Dimer Model -approach from pseudo S=1 Hamiltonian- | We extend Quantum Dimer Model (QDM) introduced by Rokhsar and Kivelson in such a way that the model includes resonance processes on larger loops. The strategy is to ?first construct a pseudo spin Hamiltonian which is defi?ned not by the S =1/2 but by the S=1 representation and then establish the correspondence between... | Strongly Correlated Electrons (cond-mat.str-el) | 16pages, 28 figures. This paper has been withdrawn due to a crucial sign error in FIG.14 | factual/methodological/other critical errors in manuscript | 873 |
1004.1237v2 | Lightweight Distance bound Protocol for Low Cost RFID Tags | Almost all existing RFID authentication schemes (tag/reader) are vulnerable to relay attacks, because of their inability to estimate the distance to the tag. These attacks are very serious since it can be mounted without the notice of neither the reader nor the tag and cannot be prevented by cryptographic protocols tha... | Cryptography and Security (cs.CR) | Results in paper questionable. Article withdrawn by authors. | factual/methodological/other critical errors in manuscript | 876 |
1004.1399v2 | A note on the entropy of repetitive sequences of symmetry group permutations | The paper makes the observation that all orders of information entropy are equal in signals composed of repeating units of distinct symbols where the units can be classified as a member of a symmetry group. This leads to an improved metric for measuring the information content of higher order entropies in data such as ... | Information Theory (cs.IT) | Paper has been witdrawn pending corrections to equations and formalism; 3 pages, no figures | factual/methodological/other critical errors in manuscript | 877 |
1004.1569v2 | A Streaming Approximation Algorithm for Klee's Measure Problem | The efficient estimation of frequency moments of a data stream in one-pass using limited space and time per item is one of the most fundamental problem in data stream processing. An especially important estimation is to find the number of distinct elements in a data stream, which is generally referred to as the zeroth ... | Data Structures and Algorithms (cs.DS) | This paper has been withdrawn by the author due to a small technical error in Algorithm 3 and 4 | factual/methodological/other critical errors in manuscript | 879 |
1004.1749v3 | Capacity Achieving Low Density Parity Check Lattices | The concept and existence of sphere-bound-achieving and capacity-achieving lattices has been explained on AWGN channels by Forney. LDPC lattices, introduced by Sadeghi, perform very well under iterative decoding algorithm. In this work, we focus on an ensemble of regular LDPC lattices. We produce and investigate an ens... | Information Theory (cs.IT) | This paper has been withdrawn by the author due to an error in an equation | factual/methodological/other critical errors in manuscript | 881 |
1004.1814v5 | Existential Second Order Logic Expression With Horn First Order for Maximum Clique (Decision Version) | We show that the maximum clique problem (decision version) can be expressed in existential second order (ESO) logic, where the first order part is a Horn formula in second-order quantified predicates. Without ordering, the first order part is $\Pi_2$ Horn; if ordering is used, then it is universal Horn (in which case,... | Computational Complexity (cs.CC) | Manuscript withdrawn, because results are incorrect. If phi = phi_1 AND phi_2, and phi is a Horn formula, it does NOT mean that both phi_1 and phi_2 are Horn formulae. Furthermore, the cardinality constraint CANNOT be expressed as a universal Horn sentence in ESO (NOT even when the structure is ordered). Graedel's theo... | factual/methodological/other critical errors in manuscript | 882 |
1004.1871v3 | Asymptotically Secure Quantum Oblivious Transfer | Due to the commonly known impossibility results, unconditional security for oblivious transfer is seen as impossible even in the quantum world. In this paper, we try to overcome these impossibility results by proposing a protocol which is asymptotically secure. The protocol makes use of the basic properties of non-orth... | Quantum Physics (quant-ph) | This paper has been withdrawn by the authors because the scheme may be insecure, due to an attack provided by Crépeau Claude. | factual/methodological/other critical errors in manuscript | 883 |
1004.2236v2 | Anisotropic Structure of the Order Parameter in FeSe_{0.4}Te_{0.6} Revealed by Angle Resolved Specific Heat | The symmetry and structure of the superconducting gap in the Fe-based superconductor are the central issue for understanding these novel materials. So far the experimental data and theoretical models have been highly controversial. Some experiments favor two or more constant or nearly-constant gaps, others indicate str... | Superconductivity (cond-mat.supr-con) | This paper is replaced by a new one appearing on 22 July 2010. A mistake in determining the angle of the positions of minima/maxima of C/T with respect to the crystallographic axes in the original paper will be corrected, together with the new and repeatable data obtained from a new sample with much improved quality. T... | factual/methodological/other critical errors in manuscript | 891 |
1004.2421v4 | Torques in atmospheres of rotating planets | Molecular motion in combination with rotation causes a torque in gas when seen from a coordinate system fixed in the rotating system. The torque is caused by Coriolis forces. | Earth and Planetary Astrophysics (astro-ph.EP) | 5 pages, 1 figure, withdrawn due to high approximations and wrong force type | factual/methodological/other critical errors in manuscript | 892 |
1004.2424v2 | Large diffusion expansion of the transition kernel of the Lévy Ornstein-Uhlenbeck process | In this paper we study the Lévy Ornstein- Uhlenbeck equation $\partial_t X_t=-m\,X_t+\eta$. The transition kernel of the Lévy Ornstein- Uhlenbeck process is given by a series which is not convergent in general, a large diffusion expansion of the transition kernel of the Lévy Ornstein- Uhlenbeck process will be given as... | Mathematical Physics (math-ph) | 12 pages, This paper has been withdrawn by the author due to a crucial sign error in page5 | factual/methodological/other critical errors in manuscript | 895 |
1004.3327v2 | An Efficient Hybrid Data Gathering Scheme in Wireless Sensor Networks | This paper has been withdrawn by the author due to a crucial sign error in equation 1 | Networking and Internet Architecture (cs.NI) | This paper has been withdrawn by the author due to a crucial sign error in equation 1 | factual/methodological/other critical errors in manuscript | 904 |
1004.3407v2 | An Optimized Lifetime Enhancement Scheme for Data Gathering in Wireless Sensor Networks | This paper has been withdrawn by the author due to a crucial sign error in equation 1 | Networking and Internet Architecture (cs.NI) | This paper has been withdrawn by the author due to a crucial sign error in equation 1 | factual/methodological/other critical errors in manuscript | 906 |
1004.3408v2 | An Energy Efficient Scheme for Data Gathering in Wireless Sensor Networks Using Particle Swarm Optimization | This paper has been withdrawn by the author due to a crucial sign error in equation 1 | Networking and Internet Architecture (cs.NI) | This paper has been withdrawn by the author due to a crucial sign error in equation 1 | factual/methodological/other critical errors in manuscript | 907 |
1004.3646v2 | Quantization of Schrodinger-Virasoro Lie algebra | Using the general quantization method by Drinfel'd twists to quantize the SchrÄodinger- Virasoro algebra with its Lie bialgebra structure determined by Han-Su, and by constructing two different kinds of Drinfel'd twists, we obtain two new Hopf this http URL result extends the class of examples of noncommutative and non... | Quantum Algebra (math.QA) | This paper has been withdrawn by the author due to a crucial sign error in equation 1 | factual/methodological/other critical errors in manuscript | 909 |
1004.3930v2 | A proof of Halperin-Carlsson Conjecture for free Z_2-torus actions on manifolds | This paper has been withdrawn due to a gap in the proof of the main result. | Algebraic Topology (math.AT) | This paper has been withdrawn due to a gap in the proof of the main result. | factual/methodological/other critical errors in manuscript | 910 |
1004.4154v2 | Simulation of Wireless Sensor Networks Using TinyOS- A case Study | This paper has been withdrawn by the author due to a crucial sign error in equation 1 | Networking and Internet Architecture (cs.NI) | This paper has been withdrawn by the author due to a crucial sign error in equation 1 | factual/methodological/other critical errors in manuscript | 913 |
1004.4309v2 | An integral breakdown criterion for Einstein vacuum equations in the case of asymptotically flat spacetimes | We will give in this paper the proof of an integral breakdown criterion for Einstein vacuum equations. In a recent article of this http URL and this http URL a new breakdown criterion was proved as a result of a sequence of articles involving new techniques. However, in this article, the authors mentioned that it was l... | Mathematical Physics (math-ph) | This paper has been withdrawn by the author. paper removed for mistakes in part 2, corrected version to come | factual/methodological/other critical errors in manuscript | 916 |
1004.4333v2 | The Pimsner-Voiculescu sequence of the Drinfeld-Jimbo algebra | We study the triangulated $KK$-category equivariant with respect to Woronowitz deformations of a compact Lie group and their duals; the Drinfeld-Jimbo twists of the universal enveloping Lie algebra. The Pimsner-Voiculescu sequence is generalized to a Pimsner-Voiculescu tower describing the $KK$-category equivariant wi... | K-Theory and Homology (math.KT) | The paper has been withdrawn by the author due to a fatal error in a crucial lemma. | factual/methodological/other critical errors in manuscript | 917 |
1004.5594v2 | Bilinear control of discrete spectrum Schrödinger operators | The bilinear control problem of the Schrödinger equation $i\frac{\partial}{\partial t}\psi(t)$ $=(A+u(t) B)\psi(t)$, where $u(t)$ is the control function, is investigated through topological irreducibility of the set $\mathfrak{M}=\{e^{-it (A+u B)}, u\in \mathbb{R}, t>0\}$ of bounded operators. This allows to prove ... | Mathematical Physics (math-ph) | This paper has been withdrawn by the authors due to a crucial gap in the proof of the main theorem. | factual/methodological/other critical errors in manuscript | 931 |
1005.0010v2 | Limit Theorems for Competitive Density Dependent Population Processes | Near the beginning of the century, Wright and Fisher devised an elegant, mathematically tractable model of gene reproduction and replacement that laid the foundation for contemporary population genetics. The Wright-Fisher model and its extensions have given biologists powerful tools of statistical inference that enable... | Probability (math.PR) | This paper has been withdrawn by the author. The proofs herein contain errors. I do not intend to prepare a revised version | factual/methodological/other critical errors in manuscript | 932 |
1005.0261v2 | A Remark on Coclosed G_2-Structures | We prove that Einstein coclosed G_2-structures are nearly parallel. | Differential Geometry (math.DG) | This paper has been withdrawn due to an error in equation 18 | factual/methodological/other critical errors in manuscript | 934 |
1005.0427v2 | The tame level 1 eigencurve is proper | This paper has been withdrawn. | Number Theory (math.NT) | This paper has been withdrawn by the author due to a serious flaw pointed out by [REDACTED-NAME] and [REDACTED-NAME] | factual/methodological/other critical errors in manuscript | 937 |
1005.1120v2 | Estimating small moments of data stream in nearly optimal space-time | For each $p \in (0,2]$, we present a randomized algorithm that returns an $\epsilon$-approximation of the $p$th frequency moment of a data stream $F_p = \sum_{i = 1}^n \abs{f_i}^p$. The algorithm requires space $O(\epsilon^{-2} \log (mM)(\log n))$ and processes each stream update using time $O((\log n) (\log \epsilo... | Data Structures and Algorithms (cs.DS) | Withdrawn due to error in analysis | factual/methodological/other critical errors in manuscript | 940 |
1005.1122v2 | Estimating small frequency moments of data stream: a characteristic function approach | A data stream is viewed as a sequence of $M$ updates of the form $(\text{index},i,v)$ to an $n$-dimensional integer frequency vector $f$, where the update changes $f_i$ to $f_i + v$, and $v$ is an integer and assumed to be in $\{-m, ..., m\}$. The $p$th frequency moment $F_p$ is defined as $\sum_{i=1}^n \abs{f_i}^p$.... | Data Structures and Algorithms (cs.DS) | Withdrawn due to an error in proof of Lemma 2.2 (acknowledgement: [REDACTED-NAME], [REDACTED-NAME]) | factual/methodological/other critical errors in manuscript | 941 |
1005.1238v2 | Finite generation of lattices on products of trees | We prove that an irreducible lattice acting on a product of two or more
locally finite, biregular trees is finitely generated. | Group Theory (math.GR) | This paper has been withdrawn by the authors due to an error in Lemma 5 | factual/methodological/other critical errors in manuscript | 943 |
1005.1462v2 | $R^+$ is regular in characteristic $p$ | $R^+$ is regular in characteristic $p$ | Commutative Algebra (math.AC) | This paper has been withdrawn due to a gap in the proof of the main result | factual/methodological/other critical errors in manuscript | 945 |
1005.2150v2 | Isometries and curvatures of tangent sphere bundles | Natural metric structures on tangent bundles and tangent sphere bundles enclose many important problems, from the topology of the base to the determination of their holonomy. We make here a brief study of the topic. We find the characteristic classes of some of those structures. We solve the question of when two given ... | Differential Geometry (math.DG) | This paper has been withdrawn by the author due to an error in equation 90. The final conclusions are therefore not true | factual/methodological/other critical errors in manuscript | 953 |
1005.2254v9 | On Universal Complexity Measures | We relate the computational complexity of finite strings to universal representations of their underlying symmetries. First, Boolean functions are classified using the universal covering topologies of the circuits which enumerate them. A binary string is classified as a fixed point of its automorphism group; the irredu... | Information Theory (cs.IT) | The paper has been withdrawn due to the poor predictive performance of circuit complexity vs. universal data compression. Given this fact, as well as the high computational complexity, the method seems to have little practical utility | factual/methodological/other critical errors in manuscript | 955 |
1005.2764v2 | The equivariant K-theory of the affine Grassmannian of SU(2) | Let $G=SU(2)$ and $\Omega G$ the space of based loops in SU(2). Motivated by the theory of Hamiltonian $LG$-spaces, we explicitly compute the topological equivariant $K$-theory $K_G^*(\Omega G)$ as an $R(G)$-module. | Algebraic Topology (math.AT) | This paper has been withdrawn due to some errors | factual/methodological/other critical errors in manuscript | 959 |
1005.2823v2 | External Description for Multivariable Systems Sampled in an Aperiodic Way | An external description for nonperiodically sampled multivariable linear systems has been developed. Emphasis is on the sampling period sequence, included among the variables to be handled. The computational procedure is simple and no use of polynomial matrix theory is required. This input/output description is believe... | Dynamical Systems (math.DS) | There are several errors that need to be corrected. This is the reason why I prefer to withdraw the paper | factual/methodological/other critical errors in manuscript | 960 |
1005.3698v3 | An improvement on the upper bound of exponential sums connected to holomorphic cusp forms | We improve the known upper bound for short exponential sums and increase the range on which a sharp upper bound is known. | Number Theory (math.NT) | This article is withdrawn due to a crucial error in the reasonings | factual/methodological/other critical errors in manuscript | 969 |
1005.3807v9 | A model of the twisted $K$-theory related to bundles of finite order | In the present paper we propose a geometric model of the twisted K-theory corresponding to elements of finite order in $H^3(X, \mathbb{Z})\times [X, \BBSU_\otimes]$. | K-Theory and Homology (math.KT) | This paper has been withdrawn by the author due to a crucial error | factual/methodological/other critical errors in manuscript | 970 |
1005.4089v8 | A background-free lattice gauge theory of quantum gravity | The search for a quantum theory of gravity has become one of the most well-known problems in theoretical physics. Problems quantizing general relativity because it is not renormalizable have led to a search for a new theory of gravity that, while still agreeing with measured observations, is renormalizable. In this pap... | Mathematical Physics (math-ph) | This paper has been withdrawn because of a critical error in how the stress-energy tensors are derived | factual/methodological/other critical errors in manuscript | 972 |
1005.4360v2 | Questions of controllability and observability for nonuniformly sampled discrete systems | A joint characterisation of the controllability and observability of a particular kind of discrete system has been developed. The key idea of the procedure can be reduced to a correct choice of the sampling sequence. This freedom, owing to the arbitrary choice of the sampling instants, is used to improve the sensitivit... | Dynamical Systems (math.DS) | There are several equations that must be corrected | factual/methodological/other critical errors in manuscript | 976 |
1005.5082v3 | A Note on Sparse Minimum Variance Portfolios and Coordinate-Wise Descent Algorithms | In this short report, we discuss how coordinate-wise descent algorithms can be used to solve minimum variance portfolio (MVP) problems in which the portfolio weights are constrained by $l_{q}$ norms, where $1\leq q \leq 2$. A portfolio which weights are regularised by such norms is called a sparse portfolio (Brodie et ... | Portfolio Management (q-fin.PM) | This paper has been withdrawn by the author due to a crucial sign error in equation 1 | factual/methodological/other critical errors in manuscript | 982 |
1005.5580v2 | Magnetism in graphite oxide: The role of epoxy groups | We investigate the magnetism in graphite by controlled oxidation. Our approach renders graphite an insulator while maintaining its structure. Fourier transform infrared spectroscopy and X-ray absorption near edge structure spectra reveal that graphite oxide has epoxy groups on its surface and it is not thermally stable... | Strongly Correlated Electrons (cond-mat.str-el) | This paper has been withdrawn by the author due to an error in dealing with data | factual/methodological/other critical errors in manuscript | 987 |
1006.0046v5 | Some Aspects on Non-commutative Theories with a compactified Extra-Dimension | We study some aspects when one consider the existence of one extra-dimension in addition to a non-commutative space-time. We present here two different examples, where the first one provides a scenario were it is possible to relate the variations on the compactification radius $L$ and the non-commutative parameter $\th... | High Energy Physics - Theory (hep-th) | This paper has been withdrawn by the author due to a error in the first initial hypothesis | factual/methodological/other critical errors in manuscript | 992 |
1006.0556v4 | Lower bounds for the spectral radii of adjacency operators on Baumslag-Solitar groups | We will use free probability techniques to find lower bounds for the spectral radii of the adjacency operators on the Caley graphs of some non-amenable Baumslag-Solitar groups with the standard generators. | Operator Algebras (math.OA) | The preprint is now withdrawn, because of an error in the technique. (Certain words were counted twice.) However, we are working on producing a correct argument and we are able to obtain a nontrivial lower bound | factual/methodological/other critical errors in manuscript | 996 |
1006.0944v2 | A note about levels and sublevels of algebras obtained by the Cayley-Dickson process | In this paper, \thinspace \thinspace we generalize the concepts of \thinspace level \thinspace and \thinspace sublevel of a composition algebra to algebras obtained by the Cayley-Dickson process. In 1967, R. B. Brown constructed, for every}$t\in \Bbb{N},${\small % \ a division algebra}$A_{t}${\small \ of dimension}$2^{... | Rings and Algebras (math.RA) | This paper has been withdrawn by the author due to some errors. A new version will be update soon | factual/methodological/other critical errors in manuscript | 998 |
1006.1533v2 | Hierarchy of Separability Conditions for Bipartite Systems | A new hierarchy of separability conditions for bipartite states is obtained. All the conditions in the hierarchy are necessary for separability. The conditions are expressed in terms of higher powers of the density operator of the bipartite system and the reduced density operators of the subsystems. Violation of any of... | Quantum Physics (quant-ph) | Withdrawn due to a serious error in derivation of the main result | factual/methodological/other critical errors in manuscript | 1,006 |
1006.1733v2 | Non-Additivity of Minimum Output p-$\mathbf{R\acute{e}nyi}$ Entropy | Hastings disproved additivity conjecture for minimum output entropy by using random unitary channels. In this note, we employ his approach to show that minimum output $p-$Rényi entropy is non-additive for $p\in(0,p_0)\cup(1-p_0,1)$ where $p_0\approx 0.2855$. | Quantum Physics (quant-ph) | This paper has been withdrawn by the author due to a crucial error | factual/methodological/other critical errors in manuscript | 1,008 |
1006.2189v2 | Smoothing theory revisited | We give a concise proof of the fundamental theorem of smoothing theory in the special case when a smoothing exists. | Algebraic Topology (math.AT) | This paper has been withdrawn by the authors. The proof of the verification of axiom 1 for the smoothing functor that is given in the paper is false, since it would violate what is known in dimension 4. If U is a subset of V and both are diffeomorphic to R^4, then the restriction map of smoothing spaces sm(V) -> sm(U) ... | factual/methodological/other critical errors in manuscript | 1,014 |
1006.2511v2 | Contact geometry and the Poincaré conjecture | We give a simple proof of the Poincaré conjecture by using the contact Ricci flow associated with the Reeb vector field. | General Mathematics (math.GM) | This paper has been withdrawn by the author due to a serious gap in defining contact Ricci flow | factual/methodological/other critical errors in manuscript | 1,023 |
1006.2513v2 | On the Achievability of Cramér-Rao Bound In Noisy Compressed Sensing | Recently, it has been proved in [Babadi et. al., 2009] that in noisy compressed sensing, a joint typical estimator can asymptotically achieve the Cramér-Rao lower bound of the problem. To prove this result, [Babadi et. al., 2009] used a lemma, which is provided in [Akackaya et. al., 2008], that comprises the main build... | Information Theory (cs.IT) | This paper has been withdrawn by the author due to a crucial error in it, when talking about a mistake in [Akackaya et. al., 2008], which was indeed correct | factual/methodological/other critical errors in manuscript | 1,024 |
1006.2549v2 | An inequality for Diophantine exponents in the case of simultaneous approximation | In this paper we prove an inequality for individual and uniform Diophantine exponents in the case of simultaneous approximation. This inequality is better than Jarnik's for small values of the uniform exponent. | Number Theory (math.NT) | This paper has been withdrawn by the author because a better estimate exists than the one proven in the paper | factual/methodological/other critical errors in manuscript | 1,028 |
1006.2622v2 | Time symmetric Bloch-Nordsieck infrared cancellation | It is usually assumed that the infrared divergences that occur for virtual photons in Feynman diagrams cancel against the corresponding divergences in phase space integrals for the emission of real soft photons. If this were the case then why do the corresponding phase space integrals for the absorption of real soft ph... | High Energy Physics - Phenomenology (hep-ph) | This paper has been withdrawn by the author due to a crucial error in equation 2.6 | factual/methodological/other critical errors in manuscript | 1,030 |
1006.2655v2 | A Reciprocity Result for Projective Indecomposable Modules of Cellular Algebras and BGG Algebras | We show that an adaptation of Landrock's Lemma for symmetric algebras also holds for cellular algebras and BGG algebras. This is a result relating the radical layers of any two projective modules. The reason it holds in our setting is that there is a duality between injective hulls and projective hulls. We then spec... | Representation Theory (math.RT) | This paper has been withdrawn due to problems with the result on rigidity | factual/methodological/other critical errors in manuscript | 1,031 |
1006.3161v5 | Comparison of Variations of Statistical and Wald's Entropies | We write the variation of the statistical entropy of matter fields outside a black hole along a Killing vector. This is done for generalized theories of gravity, using a Lie derivative and identification of the energy momentum tensor. | General Relativity and Quantum Cosmology (gr-qc) | This paper has been withdrawn by the authors due to an error that led to incorrect conclusions | factual/methodological/other critical errors in manuscript | 1,037 |
1006.3184v2 | A simple proof of the generalized strong recurrence for any non-zero parameter | The strong recurrence is equivalent to the Riemann hypothesis. In the present paper, we give a simple proof of the generalized strong recurrence for all non-zero parameters. | Number Theory (math.NT) | This paper has been withdrawn by the author. 3 pages. The proof has a gap. It is possible to avoid this, but then the proof becomes not simple | factual/methodological/other critical errors in manuscript | 1,038 |
1006.3301v2 | Codebook-Based SDMA for Coexistence with Fixed Wireless Service | A portion of frequency band for International Mobile Telecommunications (IMT)-Advanced is currently allocated to Fixed Wireless Service (FWS) such as Fixed Service (FS), Fixed Satellite Service (FSS), or Fixed Wireless Access (FWA), which requires frequency sharing between both the systems. SDMA, due to its high throug... | Information Theory (cs.IT) | The paper has been withdrawn by the author due to some error in main analysis | factual/methodological/other critical errors in manuscript | 1,040 |
1006.3569v2 | Correlated dynamics of inclusions in a supported membrane | The hydrodynamic theory of heterogeneous fluid membranes is extended to the case of a membrane adjacent to a solid substrate. We derive the coupling diffusion coefficients of pairs of membrane inclusions in the limit of large separation compared to the inclusion size. Two-dimensional compressive stresses in the membran... | Soft Condensed Matter (cond-mat.soft) | This paper has been withdrawn due to an error | factual/methodological/other critical errors in manuscript | 1,042 |
1006.3869v2 | Galois groups of multivariate Tutte polynomials | The multivariate Tutte polynomial of a graph is a generalisation of the two-variable version, obtained by assigning a variable to each edge of the graph. It has been shown that a graph G is 2-connected if and only if it has an irreducible Tutte polynomial. In this paper we prove that the Galois group of the multivariat... | Combinatorics (math.CO) | This paper has been provisionally withdrawn due to a possible major error in Proposition 7 | factual/methodological/other critical errors in manuscript | 1,045 |
1006.3965v2 | A New Formula for the Inverse Wavelet Transform | Finding a computationally efficient algorithm for the inverse continuous wavelet transform is a fundamental topic in applications. In this paper, we show the convergence of the inverse wavelet transform. | Functional Analysis (math.FA) | This paper has been withdrawn by the author due to a crucial mistake | factual/methodological/other critical errors in manuscript | 1,046 |
1006.3987v2 | On entropic uncertainty relations for position and momentum | In [1][2] uncertainty relations for position and momentum are expressed in the form of inequalities involving Shannon and Rényi entropies for measuring processes with finite resolution. We show that these inequalities do not hold in general. A new sharp lower bound of entropies is given. | Quantum Physics (quant-ph) | This paper has been withdrawn by the author due to a crucial sign error | factual/methodological/other critical errors in manuscript | 1,048 |
1006.4003v2 | Spin transfer torque enhancement in dual spin valve in the ballistic regime | The spin transfer torque in dual spin valve, in which two antiparallelly aligned pinned ferromagnetic layers are on the two sides of a free ferromagnetic layer with two thin nonmagnetic spacers in between, is studied in the ballistic regime. We first present a physical picture to argue that, similar to the results in t... | Mesoscale and Nanoscale Physics (cond-mat.mes-hall) | This paper has been withdrawn by the author due to crucial statement error | factual/methodological/other critical errors in manuscript | 1,049 |
1006.4061v3 | Electric-triple-layer model based AC electroosmosis flow | The paper presents an novel electric triple layer(ETL) model as an improved model of electrical double layer(EDL) to predict electroosmosis flow rate on the electrode surface at low frequency. The predicted slip velocity based on classical EDL theory is much higher than experimental results, and ETL model can account f... | Classical Physics (physics.class-ph) | authors erro | factual/methodological/other critical errors in manuscript | 1,050 |
1006.4703v4 | A construction of universal secure network coding | We construct a universal secure network coding. Our construction just modifies the transmission scheme at the source node and works with every linear coding at an intermediate node. We relax the security criterion such that the mutual information between the message and the eavesdropped signal is sufficiently small ins... | Information Theory (cs.IT) | This paper has been withdrawn by the author. The proof technique in this paper does not ensure the existence of a coding scheme that is secure against all the eavesdropping matrices of rank less than or equal to μ, which means that the proof does not prove the universal security as originally claimed. A much extended a... | factual/methodological/other critical errors in manuscript | 1,065 |
1006.5047v2 | Cognitive radio ad hoc networks (CRAHNs): Cognitive radio ad hoc networks (CRAHNs): Resource allocation techniques based on Bio-inspired computing | Spectrum is a scarce commodity, and considering the spectrum scarcity faced by the wireless-based service providers led to high congestion levels. Technical inefficiencies from pooled spectrum (this is nothing but the "common carrier principle" adopted in oil/gas/electricity pipelines/networks.), since all ad hoc netwo... | Networking and Internet Architecture (cs.NI) | This paper has been withdrawn by the author due to a crucial sign error in equation 1 | factual/methodological/other critical errors in manuscript | 1,074 |
1006.5069v3 | Role of Antibodies: A Novel Paradigm in Mathematical Modeling for Cancer Treatment | A mathematical model for the quantitative analysis of cancer immune interaction, considering the role of antibodies has been proposed in this paper. The model is based on the clinical evidence, which states that antibodies can directly kill cancerous cells [1]. The existence of transcritical and saddle-node bifurcation... | Quantitative Methods (q-bio.QM) | This paper has been withdrawn due to modeling error occurred because of wrong biological assumption | factual/methodological/other critical errors in manuscript | 1,075 |
1006.5198v6 | G. Birkhoff's problem in irreversible quantum dynamics | We study operator spaces determined uniquely by a completely positive map and find a complete invariance upto cocycle conjugacy for an extremal element in the convex set of unital trace preserving completely positive map on matrix algebra over the field of complex numbers. We prove a Hann-Banach-Arveson's type of theor... | Functional Analysis (math.FA) | This paper has been withdrawn by the author as it needs substantial changes and some end results are wrong in its present form | factual/methodological/other critical errors in manuscript | 1,076 |
1006.5318v2 | Tripartite probability distributions and communication complexity | We show that every tripartite quantum correlation generated with a Schmidt state (in particular every correlation generated with the GHZ state) can be simulated with the sending of two bits of classical communication from Alice to Bob and Charlie plus the sending of two bits of classical communication from Bob to Charl... | Quantum Physics (quant-ph) | This paper has been withdrawn by the authors. We believe the main result to be true, but the proof is not correct. We are at the moment trying to fix it | factual/methodological/other critical errors in manuscript | 1,079 |
1006.5534v2 | Seesaw Type I and III at the LHeC | We study the potential of testing the seesaw type I and III models at the LHeC, an e-p collision mode at the CERN collider. The e-p collision mode provides an excellent place to study lepton number violating process e^- p \to N j + X \to l^+ W^- j + X with W^- into hadron jets. Here N is a heavy Majorana neutrino and j... | High Energy Physics - Phenomenology (hep-ph) | This paper has been withdrawn by the author due to some error in section 3.3, and should be recalculated | factual/methodological/other critical errors in manuscript | 1,082 |
1006.5757v4 | Concerning the searches for Higgs bosons | The great successes achieved by the Standard Model(SM) lead us to believe the existence of the Higgs particle. On the other hand, there are many evidences indicate that some unknown dark matter particle must exist in our universe. To identify the Higgs boson as the dark matter particle is difficult in the present SM, t... | General Physics (physics.gen-ph) | This paper has been withdrawn by the author, because the idea of this paper is wrong | factual/methodological/other critical errors in manuscript | 1,088 |
1007.0181v2 | Higher congruence companion forms | For a rational prime $p \geq 2$ we consider $p$-ordinary, normalised eigenforms $f$ with associated $p$-adic Galois representations $\rho_f$ and $\mod{p^n}$ reductions $\rho_{f,n}$. We use deformation theory and modularity lifting to show that if the restriction of $\rho_{f,n} $ to a decomposition group $G_p$ splits th... | Number Theory (math.NT) | Errors noticed and corrected. Will put up new version shortly | factual/methodological/other critical errors in manuscript | 1,093 |
1007.0230v2 | Neumann spectral cluster estimates outside convex obstacles | This paper concerns spectral clusters of the Neumann Laplacian on compact Riemannian manifolds with strictly geodesically concave boundary. We prove an inequality which controls the $L^p$ norms of spectral clusters. | Analysis of PDEs (math.AP) | This paper has been withdrawn by the author due to a significant error | factual/methodological/other critical errors in manuscript | 1,094 |
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