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    Optimal Filtering for DDoS Attacks

    Defrawy, Karim El; Markopoulou, Athina; Argyraki, Katerina

    arXiv · 2006 · English · arXiv

    Distributed Denial-of-Service (DDoS) attacks are a major problem in the Internet today. In one form of a DDoS attack, a large number of compromised hosts send unwanted traffic to the victim, thus exhausting the resources of the victim and preventing it from serving its legitimate clients. One of…

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    Interactive Configuration by Regular String Constraints

    Hansen, Esben Rune; Andersen, Henrik Reif

    arXiv · 2006 · English · arXiv

    A product configurator which is complete, backtrack free and able to compute the valid domains at any state of the configuration can be constructed by building a Binary Decision Diagram (BDD). Despite the fact that the size of the BDD is exponential in the number of variables in the worst case…

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    Quantum Liouville theory with heavy charges

    Menotti, Pietro; Tonni, Erik

    arXiv · 2006 · English · arXiv

    We develop a general technique for solving the Riemann-Hilbert problem in presence of a number of heavy charges and a small one thus providing the exact Green functions of Liouville theory for various non trivial backgrounds. The non invariant regularization suggested by Zamolodchikov and…

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    Classical Theorems in Noncommutative Quantum Field Theory

    Chaichian, M.; Mnatsakanova, M.; Tureanu, A. et al.

    arXiv · 2006 · English · arXiv

    Classical results of the axiomatic quantum field theory - Reeh and Schlieder's theorems, irreducibility of the set of field operators and generalized Haag's theorem are proven in SO(1,1) invariant quantum field theory, of which an important example is noncommutative quantum field theory. In SO(1,3)…

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    Boundary singularities and boundary conditions for the Fokker-Planck equations

    Lubashevsky, Ihor; Friedrich, Rudolf; Mahnke, Reinhard et al.

    arXiv · 2006 · English · arXiv

    The boundary conditions for the Fokker-Planck equations, forward and backward ones are directly derived from the Chapman-Kolmogorov equation for M-dimensional region with boundaries. The boundaries are assumed, in addition, to be able to absorb wandering particles or to give rise to fast surface…

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    Equivariant Plateau Problems

    Smith, Graham

    arXiv · 2006 · English · arXiv

    Let $(M,Q)$ be a compact, three dimensional manifold of strictly negative sectional curvature. Let $(Σ,P)$ be a compact, orientable surface of hyperbolic type (i.e. of genus at least two). Let $θ:π_1(Σ,P)\toπ_1(M,Q)$ be a homomorphism. Generalising a recent result of Gallo, Kapovich and Marden…

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    A duality theorem for ergodic actions of compact quantum groups on C*-algebras

    Pinzari, Claudia; Roberts, John E.

    arXiv · 2006 · English · arXiv

    The spectral functor of an ergodic action of a compact quantum group G on a unital C*-algebra is quasitensor, in the sense that the tensor product of two spectral subspaces is isometrically contained in the spectral subspace of the tensor product representation, and the inclusion maps satisfy…

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    An algorithm for computing the canonical bases of higher-level q-deformed Fock spaces

    Yvonne, Xavier

    arXiv · 2006 · English · arXiv

    We derive a straightening-free algorithm that computes the canonical bases of any higher-level q-deformed Fock space.

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    An Auslander-Buchsbaum identity for semidualizing modules

    Strooker, Jan R.

    arXiv · 2006 · English · arXiv

    Of the many interesting insights in the Auslander-Bridger Memoir of 1969, the theory of Gorenstein dimension has most often been taken up by commutative algebraists. Over a local ring, it deals with resolutions by modules which are totally reflexive with regard to free modules. For some years now…

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    Differentiating maps into L^1 and the geometry of BV functions

    Cheeger, Jeff; Kleiner, Bruce

    arXiv · 2006 · English · arXiv

    This is one of a series of papers examining the interplay between differentiation theory for Lipschitz maps, X-->V, and bi-Lipschitz nonembeddability, where X is a metric measure space and V is a Banach space. Here, we consider the case V=L^1 where differentiability fails. We establish another kind…

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    Homology exponents for H-spaces

    Clement, Alain; Scherer, Jerome

    arXiv · 2006 · English · arXiv

    We say that a space X admits a homology exponent if there exists an exponent for the torsion subgroup of the integral homology. Our main result states if an H-space of finite type admits a homology exponent, then either it is, up to 2-completion, a product of spaces of the form BZ/2^r, S^1, K(Z…

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    Anticipating Reflected Stochastic Differential Equations

    Liang, Zongxia; Zhang, Tusheng

    arXiv · 2006 · English · arXiv

    In this paper, we establish the existence of the solutions $ (X, L)$ of reflected stochastic differential equations with possible anticipating initial random variables. The key is to obtain some substitution formula for Stratonovich integrals via a uniform convergence of the corresponding Riemann…

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    Compactness of solutions to the Yamabe problem. III

    Li, YanYan; Zhang, Lei

    arXiv · 2006 · English · arXiv

    For a sequence of blow up solutions of the Yamabe equation on non-locally confonformally flat compact Riemannian manifolds of dimension 10 or 11, we establish sharp estimates on its asymptotic profile near blow up points as well as sharp decay estimates of the Weyl tensor and its covariant…

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    Jordan forms for mutually annihilating nilpotent pairs

    Oblak, Polona

    arXiv · 2006 · English · arXiv

    In this paper we completely characterize all possible pairs of Jordan canonical forms for mutually annihilating nilpotent pairs, i.e. pairs $(A,B)$ of nilpotent matrices such that $AB=BA=0$.

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    Automorphisms of the type II_1 Arveson system of Warren's noise

    Tsirelson, Boris

    arXiv · 2006 · English · arXiv

    Motions of the plane (shifts and rotations) correspond to automorphisms of the type I Arveson system of white noise. I prove that automorphisms corresponding to rotations cannot be extended to the type II Arveson system of Warren's noise.

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    Polar decomposition for p-adic symmetric spaces

    Benoist, Yves; Oh, Hee

    arXiv · 2006 · English · arXiv

    Let G be the group of k-points of a connected reductive k-group and H a symmetric subgroup associated to an involution s of G. We prove a polar decomposition G=KAH for the symmetric space G/H over any local field k of characteristic not 2. Here K is a compact subset of G and A is a finite union of…

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    On recurrence of reflected random walk on the half-line. With an appendix on results of Martin Benda

    Peigné, Marc; Woess, Wolfgang

    arXiv · 2006 · English · arXiv

    Let $(Y_n)$ be a sequence of i.i.d. real valued random variables. Reflected random walk $(X_n)$ is defined recursively by $X_0=x \ge 0$, $X_{n+1} = |X_n - Y_{n+1}|$. In this note, we study recurrence of this process, extending a previous criterion. This is obtained by determining an invariant…

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    Spaces of functions with countably many discontinuities

    Haydon, R; Molto, A; Orihuela, J

    arXiv · 2006 · English · arXiv

    Let $Γ$ be a Polish space and let $K$ be a separable and pointwise compact set of real-valued functions on $Γ$. It is shown that if each function in $K$ has only countably many discontinuities then $C(K)$ may be equipped with a $T_p$-lower semicontinuous and locally uniformly convex norm…

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    Non-Uniform in Time State Estimation of Dynamical Systems

    Karafyllis, Iasson; Kravaris, Costas

    arXiv · 2006 · English · arXiv

    In this paper it is showed that if a time-varying uncertain system is robustly completely detectable then there exists an estimator for this system, i.e. we can estimate asymptotically the state vector of the system. Moreover, if a time-varying uncertain system is robustly completely observable…

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    Equisingular Families of Projective Curves

    Greuel, Gert-Martin; Lossen, Christoph; Shustin, Eugenii

    arXiv · 2006 · English · arXiv

    In this survey, we report on progress concerning families of projective curves with fixed number and fixed (topological or analytic) types of singularities. We are, in particular, interested in numerical, universal and asymptotically proper sufficient conditions to guarantee the nonemptyness…

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