September 2006 arXiv papers — page 21

L. V. Bogachev, A. V. Gnedin, Yu. V. Yakubovich

We consider the occupancy problem where balls are thrown independently at infinitely many boxes with fixed positive frequencies. It is well known that the random number of boxes occupied by the first n balls is asymptotically normal if its variance V_n tends to infinity. In this work, we mainly focus on the opposite case where V_n is bounded, and derive a si

Aseem Paranjape, T. P. Singh

The present matter density of the Universe, while highly inhomogeneous on small scales, displays approximate homogeneity on large scales. We propose that whereas it is justified to use the Friedmann-Lemaitre-Robertson-Walker (FLRW) line element (which describes an exactly homogeneous and isotropic universe) as a template to construct luminosity distances in

Mohamed E. Kelabi

The phase shift of pion nucleon elastic scattering D33, corresponding to isospin I=3/2 and angular momentum J=3/2, has been parameterized over the range 1100 < W < 1375 MeV, using the single channel p Pi+ data from CNS-DAC. By employing our four parameters formula, the pole positions of corresponding to the Delta(1232) resonance are then identified.

Francois Laudenbach

This article has been withdrawn due to a mistake which is explained in version 2.

Bodo Manthey

A cycle cover of a graph is a set of cycles such that every vertex is part of exactly one cycle. An L-cycle cover is a cycle cover in which the length of every cycle is in the set L. We investigate how well L-cycle covers of minimum weight can be approximated. For undirected graphs, we devise a polynomial-time approximation algorithm that achieves a constant

Takahiro Harada, Naoko Nakagawa

Recent experimental studies on the stepwize motion of biological molecular motors have revealed that the ``characteristic distance&#39;&#39; of a step is usually less than the actual step size. This observation implies that the detailed-balance condition for kinetic rates of steps is violated in these motors. In this letter, in order to clarify the significa

Petre Birtea, Juan-Pablo Ortega, Tudor S. Ratiu

We introduce an extension of the standard Local-to-Global Principle used in the proof of the convexity theorems for the momentum map to handle closed maps that take values in a length metric space. This extension is used to study the convexity properties of the cylinder valued momentum map introduced by Condevaux, Dazord, and Molino and allows us to obtain t

G. Fonte, B. Zerbo

We carry out a numerical simulation about the occurrence of interference fringes in experiments where an initial Gaussian wave packet evolves inside a billiard domain with two slits on the boundary. Our simulation extends a previous work by Casati and Prosen and it is aimed to test their surprising conclusion that the fringes disappear in the experiments wit

Fredrik Boxberg, Jukka Tulkki, Go Yusa, Hiroyuki Sakaki

We have developed a theoretical model to analyze the anomalous cooling of radiative quantum dot (QD) excitons by THz radiation reported by Yusa et al [Proc. 24th ICPS, 1083 (1998)]. We have made three-dimensional (3D) modeling of the strain and the piezoelectric field and calculated the 3D density of states of strain induced quantum dots. On the basis of thi

M. A. Sanchez-Conde, J. Betancort-Rijo, F. Prada

In this work, we study the formation and evolution of dark matter halos by means of the spherical infall model with shell-crossing. We present a framework to tackle this effect properly based on the numerical follow-up, with time, of that individual shell of matter that contains always the same fraction of mass with respect to the total mass. In this first s

S. Ashhab, Koji Maruyama, Franco Nori

We consider the question of whether it is possible to use the entanglement between spatially separated modes of massive particles to observe nonlocal quantum correlations. Mode entanglement can be obtained using a single particle, indicating that it requires careful consideration before concluding whether experimental observation, e.g. violation of Bell ineq

Yao-Bei Liu, Xue-Lei Wang, Yong-Hua Cao

The new colored vector-like heavy fermion $T$ is a crucial prediction in little Higgs models, which plays a key role in breaking the electroweak symmetry. The littlest Higgs model is the most economical one among various little Higgs models. In the context of the littlest Higgs model, we study single production of the new heavy vector-like quark via $e^{-}γ$

Laura Tolos, Angels Ramos, Eulogio Oset

Antikaons in dense nuclear matter are studied using a chiral unitary approach which incorporates the $s$- and p-waves of the $\bar K N$ interaction. We include, in a self-consistent way, Pauli blocking effects, meson self-energies modified by nuclear short-range correlations and baryon binding potentials. We show that the on-shell factorization cannot be app

S. Wuester, B. J. Dabrowska-Wuester, A. S. Bradley, M. J. Davis

We perform the first numerical three-dimensional studies of quantum field effects in the Bosenova experiment on collapsing condensates by E. Donley et al. [Nature 415, 39 (2002)] using the exact experimental geometry. In a stochastic truncated Wigner simulation of the collapse, the collapse times are larger than the experimentally measured values. We find th

Laurent Mazet, Martin Traizet

we construct a properly embedded minimal surface in the flat product R^2*S^1 which is quasi-periodic but is not periodic.

Stefano Capitani

We investigate, in the framework of perturbation theory at finite $N_s$, the effectiveness of improved gauge actions in suppressing the chiral violations of domain-wall fermions. Our calculations show substantial reductions of the residual mass when it is compared at the same value of the gauge coupling, the largest suppression being obtained when the DBW2 a

Luca Baiotti, Roberto De Pietri, Gian Mario Manca, Luciano Rezzolla

We present accurate simulations of the dynamical bar-mode instability in full General Relativity focussing on two aspects which have not been investigated in detail in the past. Namely, on the persistence of the bar deformation once the instability has reached its saturation and on the precise determination of the threshold for the onset of the instability i

Fabrizio Altarelli, Remi Monasson, Francesco Zamponi

For large clause-to-variable ratio, typical K-SAT instances drawn from the uniform distribution have no solution. We argue, based on statistical mechanics calculations using the replica and cavity methods, that rare satisfiable instances from the uniform distribution are very similar to typical instances drawn from the so-called planted distribution, where i

Joel Fine

Using the twistor correspondence, we give a classification of toric anti-self-dual Einstein metrics: each such metric is essentially determined by an odd holomorphic function. This explains how the Einstein metrics fit into the classification of general toric anti-self-dual metrics given in an earlier paper (math.DG/0602423). The results complement the work

Ki-Seok Kim

We study how to incorporate Mott physics in the BCS-type superconductor, motivated from the fact that high $T_c$ superconductivity results from a Mott insulator via hole doping. The U(1) slave-rotor representation was proposed to take local density fluctuations into account non-perturbatively, describing the Mott-Hubbard transition at half filling. Since thi

Sampo Tuukkanen, Anton Kuzyk, J. Jussi Toppari, Hannu Hakkinen

Dielectrophoretic trapping of six different DNA fragments, sizes varying from the 27 to 8416 bp, has been studied using confocal microscopy. The effect of the DNA length and the size of the constriction between nanoscale fingertip electrodes on the trapping efficiency have been investigated. Using finite element method simulations in conjunction with the ana

S. E. Skipetrov

We formulate a quantum theory of dynamic multiple light scattering in fluctuating disordered media and calculate the fluctuation and the autocorrelation function of photon number operator for light transmitted through a disordered slab. The effect of disorder on the information capacity of a quantum communication channel operating in a disordered environment

Song Linggen

According to the similarity theorem on the distributions of the effective prime factors and by using two-part method, Goldbach theorem and, consequently, Goldbach conjecture was proved.

Tadaaki Isobe

Direct photons have been measured with the PHENIX experiment in Au+Au collisions at $\sqrt{s_\mathrm{NN}}$ = 200 GeV. The direct photon result obtained with PHENIX-EMCal up to 18 GeV/$c$ is consistent with the NLO pQCD calculation scaled by the nuclear overlap function. The measurement using internal conversion of photons into $e^+e^-$ shows the enhancement

Yeo-Yie Charng, T. Kurimoto, Hsiang-nan Li

We calculate the flavor-singlet contribution to the $B\toη^{(\prime)}$ transition form factors from the gluonic content of the $η^{(\prime)}$ meson in the large-recoil region using the perturbative QCD approach. The formulation for the $η$-$η&#39;$ mixing in the quark-flavor and singlet-octet schemes is compared, and employed to determine the chiral enhancem

Supratik Pal

We study the fate of a collapsing star on the brane in a generalized braneworld gravity with bulk matter. Specifically, we investigate for the possibility of having a static exterior for a collapsing star in the radiative bulk scenario. Here, the nonlocal correction due to bulk matter is manifest in an induced mass that adds up to the physical mass of the st

Michael H. Freedman, Zhenghan Wang

Fourier transform is an essential ingredient in Shor&#39;s factoring algorithm. In the standard quantum circuit model with the gate set $\{\U(2), \textrm{CNOT}\}$, the discrete Fourier transforms $F_N=(ω^{ij})_{N\times N},i,j=0,1,..., N-1, ω=e^{\frac{2πi}{N}}$, can be realized exactly by quantum circuits of size $O(n^2), n=\textrm{log}N$, and so can the disc

Joseph Ben Geloun, Jan Govaerts, M. Norbert Hounkonnou

A (p,q)-deformation of the Landau problem in a spherically symmetric harmonic potential is considered. The quantum spectrum as well as space noncommutativity are established, whether for the full Landau problem or its quantum Hall projections. The well known noncommutative geometry in each Landau level is recovered in the appropriate limit p,q=1. However, a

Alicia Dickenstein, J. Maurice Rojas, Korben Rusek, Justin Shih

We present a new, far simpler family of counter-examples to Kushnirenko&#39;s Conjecture. Along the way, we illustrate a computer-assisted approach to finding sparse polynomial systems with maximally many real roots, thus shedding light on the nature of optimal upper bounds in real fewnomial theory. We use a powerful recent formula for the A-discriminant, an

David Doty, Philippe Moser

This paper examines information-theoretic questions regarding the difficulty of compressing data versus the difficulty of decompressing data and the role that information loss plays in this interaction. Finite-state compression and decompression are shown to be of equivalent difficulty, even when the decompressors are allowed to be lossy. Inspired by Kolmogo

Masakiyo Kitazawa, Teiji Kunihiro, Yukio Nemoto

Motivated by the observation that there may exist hadronic excitations even in the quark-gluon plasma (QGP) phase, we investigate how the properties of quarks, especially within the quasi-particle picture, are affected by the coupling with bosonic excitations at finite temperature (T), employing Yukawa models with a massive scalar (pseudoscalar) and vector (

Tim D. Cochran, Shelly Harvey

We give new information about the relationship between the low-dimensional homology of a group and its derived series. This yields information about how the low-dimensional homology of a topological space constrains its fundamental group. Applications are given to detecting when a set of elements of a group generates a subgroup ``large enough&#39;&#39; to ma

M. Nishimura, Y. Tanii

The PSU(2,2|4) transformation laws of the IIB superstring theory in the AdS_5 x S^5 background are explicitly obtained for the light-cone gauge in the Green-Schwarz formalism.

Hua-Xing Chen, Atsushi Hosaka, Shi-Lin Zhu

We study the low-lying scalar mesons of light u, d, s flavors in the QCD sum rule. Having all possible combinations of tetraquark currents in the local form, QCD sum rule analysis has been carefully performed. We found that using the appropriate tetraquark currents, the masses of sigma, kappa, f_0 and a_0 mesons appear in the region of 0.6 -- 1 GeV with the

R. Montemayor, Luis F. Urrutia

We discuss a large class of phenomenological models incorporating quantum gravity motivated corrections to electrodynamics. The framework is that of electrodynamics in a birefringent and dispersive medium with non-local constitutive relations, which are considered up to second order in the inverse of the energy characterizing the quantum gravity scale. The e

Arvid J. Bessen

We study the distributions of the continuous-time quantum walk on a one-dimensional lattice. In particular we will consider walks on unbounded lattices, walks with one and two boundaries and Dirichlet boundary conditions, and walks with periodic boundary conditions. We will prove that all continuous-time quantum walks can be written as a series of Bessel fun

Philippos K. Tsourkas, Nicole Baumgarth, Scott I. Simon, Subhadip Raychaudhuri

The clustering of B cell receptor (BCR) molecules and the formation of the protein segregation structure known as the immunological synapse appears to precede antigen (Ag) uptake by B cells. The mature B cell synapse is characterized by a central cluster of BCR/Ag molecular complexes surrounded by a ring of LFA-1/ICAM-1 complexes. Recent experimental evidenc

Cristopher Moore, Alexander Russell

It is known that any quantum algorithm for Graph Isomorphism that works within the framework of the hidden subgroup problem (HSP) must perform highly entangled measurements across Omega(n log n) coset states. One of the only known models for how such a measurement could be carried out efficiently is Kuperberg&#39;s algorithm for the HSP in the dihedral group

Juergen Roesch, Xian-Min Jing, Juan Yin, Tao Yang

We report for the first time in an ancilla-free process a non-local entanglement between two single photons which do not meet. For our experiment we derive a simple and efficient method to entangle two single photons using post-selection technology. The photons are guided into an interferometer setup without the need for ancilla photons for projection into t

Chao-Yang Lu, Xiao-Qi Zhou, Otfried Gühne, Wei-Bo Gao

Graph states are special kinds of multipartite entangled states that correspond to mathematical graphs where the vertices take the role of quantum spin systems and the edges represent interactions. They not only provide an efficient model to study multiparticle entanglement, but also find wide applications in quantum error correction, multi-party quantum com

Qiang Zhang, Alexander Goebel, Claudia Wagenknecht, Yu-Ao Chen

Quantum teleportation, a way to transfer the state of a quantum system from one location to another, is central to quantum communication and plays an important role in a number of quantum computation protocols. Previous experimental demonstrations have been implemented with photonic or ionic qubits. Very recently long-distance teleportation and open-destinat

Andrei Modoran, Gregory Lafyatis

An electronically excited atom or molecule located outside but near a planar optical waveguide can decay by spontaneous emission of a photon into a guided mode of the waveguide. We outline a QED theory for calculating the probability for this process and describe general physical insights from that theory. A couple of representative examples are discussed in

P. L. Krapivsky, S. Redner

We show that two-dimensional convection-diffusion problems with a radial sink or source at the origin may be recast as a pure diffusion problem in a fictitious space in which the spatial dimension is continuously-tunable with the Peclet number. This formulation allows us to probe various diffusion-controlled processes in non-integer dimensions.

C. Efthimiou, R. Llewellyn, D. Maronde, T. Winningham

Physics in Films is an alternative version of the physical science course offered to non-science majors at the University of Central Florida. The course uses the popularity of Hollywood films to generate interest in science and to engage students that have traditionally been resistant to taking science courses. Scenes that lead to teachable science moments a

R. Lazauskas, J. Carbonell

Faddeev-Yakubovski equations are solved numerically for 4He tetramer and trimer states using realistic helium-helium interaction models. We describe the properties of ground and excited states, and we discuss with a special emphasis the 4He-4He3 low energy scattering.

E. Comay

The structure of electrodynamics based on the variational principle together with causality and space-time homogeneity is analyzed. It is proved that in this case the 4-potential is defined uniquely. Therefore, the approach where Maxwell equations and the Lorentz law of force are regarded as cornerstones of the theory is not equivalent to the one described a

H. Backe, W. Lauth, A. F. Scharafutdinov, P. Kunz

Features of forward diffracted Parametric X-Radiation (PXR) were investigated at experiments with the 855 MeV electron beam of the Mainz Microtron MAMI employing a 410 micrometer thick tungsten single crystal. Virtual photons from the electron field are diffracted by the (10-1) plane at a Bragg angle of 3.977 degree. Forward emitted radiation was analyzed at

Andrzej Adamczak, Jakub Gronowski

The diffusion radius of the 1S muonic hydrogen atoms in gaseous H_2 targets with various deuterium admixtures has been determined for temperatures T=30 and 300 K. The Monte Carlo calculations have been performed using the partial differential crosssections for $pμ$ and $dμ$ atom scattering from the molecules H$_2$, HD and D$_2$. These cross sections include

R. Machleidt

The attempts to find the right (underlying) theory for the nuclear force have a long and stimulating history. Already in 1953, Hans Bethe stated that &#34;more man-hours have been given to this problem than to any other scientific question in the history of mankind&#34;. In search for the nature of the nuclear force, the idea of sub-nuclear particles was cre

Y. Aritomo

We present the first attempt of systematically investigating the effects of shell correction energy for a dynamical process, which includes fusion, fusion-fission and quasi-fission processes. In the superheavy mass region, for the fusion process, shell correction energy plays a very important role and enhances the fusion probability when the colliding partne

Ilona Bednarek, Ryszard Manka

In this paper the impact of the strength of hyperon-nucleon and hyperon-hyperon on the maximum neutron star mass is shown. The strong hyperon-hyperon coupling constant together with the additional nonlinear meson interaction terms lead to the essential softening of the equation of state and to the existence of another more compact branch of stable neutron st

Ning Wang, Xizhen Wu, Zhuxia Li, Min Liu

The Skyrme energy-density functional approach has been extended to study the massive heavy-ion fusion reactions. Based on the potential barrier obtained and the parameterized barrier distribution the fusion (capture) excitation functions of a lot of heavy-ion fusion reactions are studied systematically. The average deviations of fusion cross sections at ener

Andreas Henrici, Thomas Kappeler

In this paper we compute the Birkhoff normal form of the periodic Toda lattice up to order four. As an application, we verify that Kolmogorov&#39;s nondegeneracy condition in the KAM theorem holds almost everywhere in phase space.

Wilhelm Fushchych, Renat Zhdanov

The authors give a detailed information about symmetry (Lie, non-Lie, conditional) of nonlinear PDEs for spinor, vector and scalar fields; using advanced methods of group-theoretical, symmetry analysis construct wide families of classical solutions of the nonlinear Dirac, Yang-Mills, Maxwell-Dirac, Dirac-d&#39;Alembert, d&#39;Alembert-Hamilton equations; exp

Thierry Gobron, Immacolata Merola

We consider the $Q$-state Potts model on $\mathbb Z^d$, $Q\ge 3$, $d\ge 2$, with Kac ferromagnetic interactions and scaling parameter $\ga$. We prove the existence of a first order phase transition for large but finite potential ranges. More precisely we prove that for $\ga$ small enough there is a value of the temperature at which coexist $Q+1$ Gibbs states

N. M. Ercolani, K. D. T-R McLaughlin

The &#34;loop equations&#34; of random matrix theory are a hierarchy of equations born of attempts to obtain explicit formulae for generating functions of map enumeration problems. These equations, originating in the physics of 2-dimensional quantum gravity, have lacked mathematical justification. The goal of this paper is to provide a complete and short pro

G. Bor, L. Hernández-Lamoneda, M. Salvai

In this article we apply a Bochner type formula to show that on a compact conformally flat riemannian manifold (or half-conformally flat in dimension 4) certain types of orthogonal almost-complex structures, if they exist, give the absolute minimum for the energy functional. We give a few examples when such minimizers exist, and in particular, we prove that

Richard Miles, Thomas Ward

We show that algebraic dynamical systems with entropy rank one have uniformly exponentially many periodic points in all directions.

Gennady Lyubeznik

Let R be a commutative Noetherian d-dimensional complete equicharacterisitc regular local ring and let I be an ideal of R such that every minimal prime over I has height at most c. Let v=d - [(d-2)/c]-1 and v&#39;=d - [(d-1)/c]. It has been known that the i-th local cohomology module of any R-module M with support in I vanishes for i>v&#39;, and if I is prim

J. M. Landsberg

These are lecture notes on the rigidity of submanifolds of projective space &#34;resembling&#34; compact Hermitian symmetric spaces in their homogeneous embeddings. Recent results are surveyed, along with their classical predecessors. The notes include an introduction to moving frames in projective geometry, an exposition of the Hwang-Yamaguchi ridgidity the

Donu Arapura, Ajneet Dhillon

An abelian category of relative pure motives is constructed along the lines of André (over a field of characteristic 0). An algebraic stack is shown to possess a motive in this sense. This motive is studied for the moduli stack of G-bundles over the universal curve for appropriate G, and a motivic Atiyah-Bott formula is obtained. By taking Hodge realization,

J. M. Landsberg

I describe work in progress with Baryshnikov and Zharnitsky on periodic billiard orbits that leads one to an exterior differential system (EDS). I then give a brief introduction to EDS illustrated by several examples.

Eli Glasner

A dynamical version of the Bourgain-Fremlin-Talagrand dichotomy shows that the enveloping semigroup of a dynamical system is either very large and contains a topological copy of $β\N$, or it is a &#34;tame&#34; topological space whose topology is determined by the convergence of sequences. In the latter case the dynamical system is called tame. We use the st

M. Brozos-Vazquez, P. Gilkey

We give manifolds in both the Riemannian and in the higher signature settings whose Riemann curvature operators commute, i.e. which satisfy R(a,b)R(c,d)=R(c,d)R(a,b) for all tangent vectors. These manifolds have global geometric phenomena which are quite different for higher signature manifolds than they are for Riemannian manifolds. Our focus is on global p

Hélène Le Cadre

The aim of this paper is to analyze the dynamic evolution of a VPN, modeled as a system, controled by a manager who should take appropriate decisions. To take the best possible decisions, the operator should be able to worst behavior, in the sense of a quality of service criterion, of the system he wants to control. At first, we study the case of a simple VP

Cleon S. Barroso, G. Pacelli Bessa

We give lower and upper bounds for the first eigenvalue of geodesic balls in spherically symmetric manifolds. These lower and upper bounds are $C^{0}$-dependent on the metric coefficients. It gives better lower bounds for the first eigenvalue of spherical caps than those from Betz-Camera-Gzyl.

Bruno Colbois, Jean-Francois Grosjean

In this paper, we give pinching Theorems for the first nonzero eigenvalue $λ$ of the Laplacian on the compact hypersurfaces of the Euclidean space. Indeed, we prove that if the volume of $M$ is 1 then, for any $ε>0$, there exists a constant $C\_ε$ depending on the dimension $n$ of $M$ and the $L\_{\infty}$-norm of the mean curvature $H$, so that if the $L\_{

Jean-Francois Grosjean, Emmanuel Humbert

Let $(M,g,σ)$ be a compact Riemmannian surface equipped with a spin structure $σ$. For any metric $\tilde{g}$ on $M$, we denote by $μ\_1(\tilde{g})$ (resp. $λ\_1(\tilde{g})$) the first positive eigenvalue of the Laplacian (resp. the Dirac operator) with respect to the metric $\tilde{g}$. In this paper, we show that $$\inf \frac{λ\_1(\tilde{g})^2}{μ\_1(\tilde

Julien Roth

We give new estimates for the extrinsic radius of compact hypersurfaces of the Euclidean space and the open hemisphere in terms of high order mean curvatures. Then we prove pinching results corresponding to theses estimates. We show that under a suitable pinching condition, the hypersurface is diffeomorphic and almost isometric to a geodesic hypersphere.

Antonio M. Oller

In this paper we present some families of polynomials and use them to find, using the techniques in \cite{gma}, a defining polynomial for the $SL(2,\mathbb{C})$ character variety (as defined in \cite{cus}) of the torus knots of type $(m,2)$ with $m>1$ being an odd integer.

Chien-Hao Liu, Shing-Tung Yau

We study the degeneration and the gluing of Kuranishi structures in Gromov-Witten theory under a symplectic cut. This leads us to a degeneration axiom and a gluing axiom for open Gromov-Witten invariants. They provide then a route to the construction of virtual fundamental chains via specialization. Comments on the equivalence of the degeneration formula of

Taeyoung Lee, N. Harris McClamroch, Melvin Leok

Optimal control problems are formulated and efficient computational procedures are proposed for attitude dynamics of a rigid body with symmetry. The rigid body is assumed to act under a gravitational potential and under a structured control moment that respects the symmetry. The symmetry in the attitude dynamics system yields a conserved quantity, and it cau

Fedor Bogomolov, Bruno De Oliveira

This paper following a geometric approach proves new, and reproves old, vanishing and nonvanishing results on the space of twisted symmetric differentials, $H^0(X,S^mΩ^1_X\otimes \Cal O_X(k))$ with $k\le m$, on subvarieties $X\subset \Bbb P^N$. The case of $k=m$ is special and the nonvanishing results are related to the space of quadrics containing $X$ and l

Jonas Sjostrand

Let the sign of a skew standard Young tableau be the sign of the permutation you get by reading it row by row from left to right, like a book. We examine how the sign property is transferred by the skew Robinson-Schensted correspondence invented by Sagan and Stanley. The result is a remarkably simple generalization of the ordinary non-skew formula. The sum o

Kai Meng Tan

We obtain closed formulas, in terms of Littlewood-Richardson coefficients, for the canonical basis elements of the Fock space representation of $U_v(\hat{\mathfrak{sl}}_e)$ which are labelled by partitions having &#39;locally small&#39; $e$-quotients and arbitrary $e$-cores. We further show that, upon evaluation at $v=1$, this gives the corresponding decompo

Zhaoyong Huang

Let $Λ$ and $Γ$ be left and right noetherian rings and $_ΛU$ a Wakamatsu tilting module with $Γ={\rm End}(_ΛT)$. We introduce a new definition of $U$-dominant dimensions and show that the $U$-dominant dimensions of $_ΛU$ and $U_Γ$ are identical. We characterize $k$-Gorenstein modules in terms of homological dimensions and the property of double homological f

Martijn van Noort, Mason A. Porter, Yingfei Yi, Shui-Nee Chow

We employ KAM theory to rigorously investigate quasiperiodic dynamics in cigar-shaped Bose-Einstein condensates (BEC) in periodic lattices and superlattices. Toward this end, we apply a coherent structure ansatz to the Gross-Pitaevskii equation to obtain a parametrically forced Duffing equation describing the spatial dynamics of the condensate. For shallow-w

Vincent Bouchard

In this thesis we probe various interactions between toric geometry and string theory. First, the notion of a top was introduced by Candelas and Font as a useful tool to investigate string dualities. These objects torically encode the local geometry of a degeneration of an elliptic fibration. We classify all tops and give a prescription for assigning an affi

A. A. Saharian, A. S. Kotanjyan, M. L. Grigoryan

The electromagnetic field generated by a charged particle moving along a helical orbit inside a dielectric cylinder immersed into a homogeneous medium is investigated. Expressions are derived for the electromagnetic potentials, electric and magnetic fields in the region inside the cylinder. The parts corresponding to the radiation field are separated. The ra

W. Buchmüller, C. Lüdeling

This is a short introduction to the Standard Model and the underlying concepts of quantum field theory.

Carlos A. Salgado

Some of the open questions on jet quenching are expected to be clarified by measuring heavy-flavored mesons at high transverse momentum. The formalism based on radiative in-medium energy-loss, which describes other high-pt results at RHIC, gives definite predictions for the suppression of charm and beauty quarks. However, the uncertainties from both contribu

Carlos A. Salgado

Some of the new developments in the theory of heavy ion collisions are reviewed. Much of the last progress have been triggered by the high energies available at RHIC. In the near future, the LHC will extend the energy reach in heavy ions by a factor thirty and give access to new QCD regimes characterized by large densities and temperatures and corresponding

C. M. Carloni Calame, G. Montagna, O. Nicrosini, A. Vicini

We present a detailed study of the charged current Drell-Yan process, which includes the exact O(alpha) electroweak corrections properly matched with leading-log effects due to multiple-photon emission, as required by the experiments at the Tevatron and the LHC. Numerical results for the relevant observables of single W boson production at hadron colliders a

V. P. Efrosinin

The possible sources of one-photon radiation as background for quasi-elastic reaction nu_mu+n to mu^-+p are considered. The ones are relevant in experiments on determination of oscillation parameters at low neutrino energies (E_nu^lab~1 GeV). The estimation for the cross section of reaction nu_mu+n to mu^-+p+gamma is given at E_nu^lab=0.7 GeV as 0.65% from t

Dominik Stöckinger

The present review is devoted to the muon magnetic moment and its role in supersymmetry phenomenology. Analytical results for the leading supersymmetric one- and two-loop contributions are provided, numerical examples are given and the dominant tan(beta)sign(mu)/M_SUSY^2 behaviour is qualitatively explained. The consequences of the Brookhaven measurement are

R. Ferrandes

I discuss a model independent determination of the widths of a class of two-body $\bar{B}_s^0 $ decays induced by $b \to c \bar u d$ and $b \to c \bar u s$ transitions. The analysis is based on $SU(3)_F$ symmetry and exploits existing information on $\bar B \to D_{(s)} P$ and $\bar B \to D_{(s)} V$ decays, with $P$ and $V$ a light pseudoscalar or vector meso

B. El-Bennich, O. M. A. Leitner, B. Loiseau, J. -P. Dedonder

Within the dispersion relation approach we give the double spectral representation for space-like and time-like B-> f_0(980) and D-> f_0(980) transition form factors in the full q^2 range. The spectral densities, being the input of the dispersion relations, are obtained from a triangle diagram in the relativistic quark model.

Brian Aa. Petersen

Recent experimental results in charm and charmonium spectroscopy are reviewed.

C. Glasman

Results on QCD studies from the H1 and ZEUS Collaborations at the ep collider HERA are presented and their impact on LHC physics discussed.

Eran Rosenthal

We derive an expression for the second-order gravitational self-force that acts on a self-gravitating compact-object moving in a curved background spacetime. First we develop a new method of derivation and apply it to the derivation of the first-order gravitational self-force. Here we find that our result conforms with the previously derived expression. Next

F. Debbasch, L. Herrera, P. R. C. T. Pereira, N. O. Santos

We present the whole set of equations with regularity and matching conditions required for the description of physically meaningful stationary cylindrically symmmetric distributions of matter, smoothly matched to Lewis vacuum spacetime. A specific example is given. The electric and magnetic parts of the Weyl tensor are calculated, and it is shown that purely

Tanwi Bandyopadhyay, Subenoy Chakraborty, Asit Banerjee

The paper presents some solutions to the five dimensional Einstein equations due to a perfect fluid on the brane with pure dust filling the entire bulk in one case and a cosmological constant (or vacuum) in the bulk for the second case. In the first case, there is a linear relationship between isotropic pressure, energy density and the brane tension, while i

Otakar Svitek, Jiri Podolsky

We investigate Isaacson&#39;s high-frequency gravitational waves which propagate in some relevant cosmological models, in particular the FRW spacetimes. Their time evolution in Fourier space is explicitly obtained for various metric forms of (anti--)de Sitter universe. Behaviour of high-frequency waves in the anisotropic Kasner spacetime is also described.

Celine Cattoen, Matt Visser

Until recently, the physically relevant singularities occurring in FRW cosmologies had traditionally been thought to be limited to the &#34;big bang&#34;, and possibly a &#34;big crunch&#34;. However, over the last few years, the zoo of cosmological singularities considered in the literature has become considerably more extensive, with &#34;big rips&#34; and

Christoph Schmid

The spin axes of gyroscopes experimentally define local non-rotating frames. But what physical cause governs the time-evolution of gyroscope axes? We consider linear perturbations of Friedmann-Robertson-Walker cosmologies with k=0. We ask: Will cosmological vorticity perturbations exactly drag the spin axes of gyroscopes relative to the directions of geodesi

Yufang Xi, Edmund M. Yeh

The Maximum Differential Backlog (MDB) control policy of Tassiulas and Ephremides has been shown to adaptively maximize the stable throughput of multi-hop wireless networks with random traffic arrivals and queueing. The practical implementation of the MDB policy in wireless networks with mutually interfering links, however, requires the development of distri

A. Lavrenov

The binomial multichannel algorithm is proposed. Some its properties are discussed.

Thomas Wies, Viktor Kuncak, Karen Zee, Andreas Podelski

One of the main challenges in the verification of software systems is the analysis of unbounded data structures with dynamic memory allocation, such as linked data structures and arrays. We describe Bohne, a new analysis for verifying data structures. Bohne verifies data structure operations and shows that 1) the operations preserve data structure invariants

Patrick Dehornoy

We describe several technical tools that prove to be efficient for investigating the rewrite systems associated with a family of algebraic laws, and might be useful for more general rewrite systems. These tools consist in introducing a monoid of partial operators, listing the monoid relations expressing the possible local confluence of the rewrite system, th

Florent Ranchin, Antonin Chambolle, Françoise Dibos

In this paper, we are interested in the application to video segmentation of the discrete shape optimization problem involving the shape weighted perimeter and an additional term depending on a parameter. Based on recent works and in particular the one of Darbon and Sigelle, we justify the equivalence of the shape optimization problem and a weighted total va