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   Club guessing and the universal models

   Džamonja, Mirna

   arXiv · 2006 · English · arXiv

   We survey the use of club guessing and other pcf constructs in the context of showing that a given partially ordered class of objects does not have a largest, or a universal element. The article was published in 2006. On rereading we noticed a missing parameter in Definition 1.1, which makes the…

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   Superfluid properties of BPS monopoles

   Lantsman, Leonid

   arXiv · 2006 · English · arXiv

   This paper is devoted to demonstrating manifest superfluid properties of the Minkowskian Higgs model with vacuum BPS monopole solutions at assuming the "continuous" $\sim S^2$ vacuum geometry in that model. It will be also argued that point hedgehog topological defects are present in the…

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   Lattices which can be represented as lattices of intervals

   Douka, P.; Felouzis, V.

   arXiv · 2006 · English · arXiv

   We investigate the representation of lattices as sublattices of the lattice of all convex subsets (intervals) of a linearly ordered set $(X,\le)$. We introduce the purely lattice-theoretic notion of a \textit{loc-lattice} and prove that every loc-lattice is representable as a lattice of intervals…

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   Towards a better list of citation superstars: compiling a multidisciplinary list of highly cited researchers

   Podlubny, Igor; Kassayova, Katarina

   arXiv · 2006 · English · arXiv

   A new approach to producing multidisciplinary lists of highly cited researchers is described and used for compiling a multidisciplinary list of highly cited researchers. This approach is essentially related to the recently discovered law of the constant ratios (Podlubny, 2004) and gives a…

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   A Model for Predicting Magnetic Particle Capture in a Microfluidic Bioseparator

   Furlani, E. P.; Sahoo, Y.; Ng, K. C. et al.

   arXiv · 2006 · English · arXiv

   A model is presented for predicting the capture of magnetic micro/nano-particles in a bioseparation microsystem. This bioseparator consists of an array of conductive elements embedded beneath a rectangular microfluidic channel. The magnetic particles are introduced into the microchannel in…

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   Acoustic decoherence of flux qubits

   Albert, Jaroslav; Chudnovsky, Eugene M.

   arXiv · 2006 · English · arXiv

   Decoherence of a flux qubit due to inelastic scattering of thermal phonons by the qubit is studied. The computed decoherence rates contain no unknown constants and are expressed entirely in terms of measurable parameters of the qubit. The answer depends strongly on the size of the qubit as compared…

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   Averaged Energy Inequalities for Non-Minimally Coupled Classical Scalar Fields

   Osterbrink, Lutz W.

   arXiv · 2006 · English · arXiv

   The stress-energy tensor for the non-minimally coupled scalar field is known not to satisfy the pointwise energy conditions, even on the classical level. We show, however, that local averages of the classical stress-energy tensor satisfy certain inequalities and give bounds for averages along…

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   M-Theory on Manifolds with G_2 Holonomy

   Barrett, Adam B.

   arXiv · 2006 · English · arXiv

   We study M-theory on G_2 holonomy spaces that are constructed by dividing a seven-torus by some discrete symmetry group. We classify possible group elements that may be used in this construction and use them to find a set of possible orbifold groups that lead to co-dimension four singularities. We…

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   Cartan Calculus on the Quantum Space ${\cal R}_q^{3}$

   Çelik, Salih; Yaşar, Ergün; Özkan, E. Mehmet

   arXiv · 2006 · English · arXiv

   To give a Cartan calculus on the extended quantum 3d space, the noncommutative differential calculus on the extended quantum 3d space is extended by introducing inner derivations and Lie derivatives.

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    Signed differential posets and sign-imbalance

    Lam, Thomas

    arXiv · 2006 · English · arXiv

    We study signed differential posets, a signed version of differential posets. These posets satisfy enumerative identities which are signed analogues of those satisfied by differential posets. Our main motivations are the sign-imbalance identities for partition shapes originally conjectured by…

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    Limit theorems for free multiplicative convolutions

    Bercovici, Hari; Wang, Jiun-Chau

    arXiv · 2006 · English · arXiv

    We determine the distributional behavior for products of free random variables in a general infinitesimal triangular array. In the case of positive variables, the main theorem extends a result proved earlier for arrays with identically distributed rows. The case of unitary variables is considered…

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    The Galoisian envelope of a germ of foliation: the quasi-homogeneous case

    Paul, Emmanuel

    arXiv · 2006 · English · arXiv

    We give geometric and algorithmic criterions in order to have of a proper Galois closure for a codimension one germ of quasi-homogeneous foliation. We recall this notion recently introduced by B. Malgrange, and describe the Galois envelope of a group of germs of analytic diffeomorphisms. The…

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    On the exact constant in Jackson-Stechkin inequality for the uniform metric

    Foucart, S.; Kryakin, Yu.; Shadrin, A.

    arXiv · 2006 · English · arXiv

    The classical Jackson-Stechkin inequality estimates the value of the best uniform approximation of a periodic function by trigonometric polynomials of degree $\le n-1$ in terms of its $r$-th modulus of smoothness $ω_r(f,δ)$. The main result of the paper is in establishing the correct order of…

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    Systoles of hyperbolic 4-manifolds

    Agol, Ian

    arXiv · 2006 · English · arXiv

    We prove that for any \e>0, there exists a closed hyperbolic 4-manifold with a closed geodesic of length < \e.

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    Labelling the character tables of symmetric and alternating groups

    Wildon, Mark

    arXiv · 2006 · English · arXiv

    Let $X$ be a character table of the symmetric group $S_n$. It is shown that unless $n = 4$ or $n=6$, there is a unique way to assign partitions of $n$ to the rows and columns of $X$ so that for all $λ$ and $ν$, $X_{λν}$ is equal to $χ^λ(ν)$, the value of the irreducible character of $S_n$ labelled…

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    High Lewis number combustion wavefronts: a perturbative Melnikov analysis

    Balasuriya, S.; Gottwald, G. A.; Hornibrook, J. et al.

    arXiv · 2006 · English · arXiv

    The wavefronts associated with a one-dimensional combustion model with Arrhenius kinetics and no heat loss are analyzed within the high Lewis number perturbative limit. This situation, in which fuel diffusivity is small in comparison to that of heat, is appropriate for highly dense fluids. A…

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    Two-Pion Production in Nucleon-Nucleon Collisions and the ABC-Effect - Approaching a Puzzleby exclusive and Kinematically complete Measurements

    Skorodko, T.; Bashkanov, M.; Bargholtz, C. et al.

    arXiv · 2006 · English · arXiv

    The ABC effect - a puzzling low-mass enhancement in the $ππ$ invariant mass spectrum - is known from inclusive measurements of two-pion production in nuclear collisions, where it always showed up, if the participating nucleons fused to a bound nuclear system in the final state. The first exclusive…

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    A Dirichlet-integral based dual-access collocation-kernel approach to point-source gravity-field modleing

    Rufty, Alan

    arXiv · 2006 · English · arXiv

    Problems in $\mathbb{R}^3$ are addressed where the scalar potential of an associated vector field satisfies Laplace's equation in some unbounded external region and is to be approximated by unknown (point) sources contained in the complimentary subregion. Two specific field geometries are…

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    Beneficial mutation-selection balance and the effect of linkage on positive selection

    Desai, Michael M.; Fisher, Daniel S.

    arXiv · 2006 · English · arXiv

    When beneficial mutations are rare, they accumulate by a series of selective sweeps. But when they are common, many beneficial mutations will occur before any can fix, so there will be many different mutant lineages in the population concurrently. In an asexual population, these different mutant…

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    Insects, Trees, and Climate: The Bioacoustic Ecology of Deforestation and Entomogenic Climate Change

    Dunn, David; Crutchfield, James P.

    arXiv · 2006 · English · arXiv

    Accumulating observational evidence suggests an intimate connection between rapidly expanding insect populations, deforestation, and global climate change. We review the evidence, emphasizing the vulnerability of key planetary carbon pools, especially the Earth's forests that link the micro-ecology…

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