March 2002 arXiv papers — page 12

T. Tybell, P. Paruch, T. Giamarchi, J. -M. Triscone

Ferroelectric switching and nanoscale domain dynamics were investigated using atomic force microscopy on monocrystalline Pb(Zr0.2Ti0.8)O3 thin films. Measurements of domain size versus writing time reveal a two-step domain growth mechanism, in which initial nucleation is followed by radial domain wall motion perpendicular to the polarization direction. The e

Rafael Rangel, Ernesto Medina

We give a detailed and rigorous picture of the mesoscopic conductance fluctuations in the deep insulating regime (DIR) within the Nguyen, Spivak and Shklovskii model including spin-orbit coupling (SO). Without SO, we find that fluctuations of the log-conductance are persistent above a saturation field $% B_s$, where one has that the log-conductance is approx

Emily Longhi, Nalini Easwar, Narayanan Menon

We report the characteristics of the temporal fluctuations in the local force delivered to the wall of a 2D hopper by a granular medium flowing through it. The forces are predominantly impulsive at all flow rates for which the flow does not permanently jam. The average impulse delivered to the wall is much larger than the momentum acquired by a single partic

C. Frontera, J. L. García-Muñoz, A. Llobet, M. A. G. Aranda

Ultra-high resolution synchrotron diffraction data for $\rm GdBaCo_2O_{5.5}$ throw new light on the metal-insulator transition of Co$^{3+}$ Ba-cobaltites. An anomalous expansion of CoO$_6$ octahedra is observed at the phase transition on heating, while CoO$_5$ pyramids show the normal shrinking at the closing of the gap. The insulator-to-metal transition is

Thorsten Poeschel, Jan A. Freund

Given an equidistribution for probabilities p(i)=1/N, i=1..N. What is the expected corresponding rank ordered frequency distribution f(i), i=1..N, if an ensemble of M events is drawn?

A. Ferraz

We discuss the renormalization induced by interactions of a two-dimensional truncated Fermi surface (FS) model.Using a field theoretical renormalization group method we calculate the critical renormalized physical chemical potential. We show that it either vanishes or approaches a non-zero value. We argue that the vanishing of the chemical potential is indic

Ana Proykova, Dietrich Stauffer

Mass media shift the percolative phase transition observed in the marketing model of Solomon and Weisbuch.

Simon Renard, Thomas Schwager, Thorsten Poeschel, Clara Saluena

The onset of surface fluidization of granular material in a vertically vibrated container, z=A cos(ωt), is studied experimentally. Recently, for a column of spheres it has been theoretically found that the particles lose contact if a certain condition for the acceleration amplitude \ddot{z} \equiv Aω^2/g = f(ω) holds. This result is in disagreement with othe

Volkhard Buchholtz, Jan A. Freund, Thorsten Poeschel

We investigate autogenous fragmentation of dry granular material in rotating cylinders using two-dimensional molecular dynamics. By evaluation of spatial force distributions achieved numerically for various rotation velocities we argue that comminution occurs mainly due to the existence of force chains. A statistical analysis of theses force chains explains

Marta Sales, Hajime Yoshino

We examine the sensitiveness of the free-energy landscape of a directed polymer in random media with respect to various kinds of infinitesimally weak perturbation including the intriguing case of temperature-chaos. To this end, we combine the replica Bethe ansatz approach outlined in cond-mat/0112384, the mapping to a modified Sinai model and numerically exa

M. Boehm, S. Martynov, B. Roessli, G. Petrakovskii

We have investigated the spin-wave spectrum of copper metaborate, CuB$_2$O$_4$, by means of inelastic neutron scattering in the commensurate magnetic phase. We have found two branches of spin-wave excitations associated with the two magnetic sublattices Cu(A) and Cu(B), respectively. In the temperature regime $10K \le T \le 21K$, where only the Cu(A) magneti

Milan Knezevic, Jean Vannimenus

We study the phase diagram of fully directed lattice animals with nearest-neighbour interactions on the square lattice. This model comprises several interesting ensembles (directed site and bond trees, bond animals, strongly embeddable animals) as special cases and its collapse transition is equivalent to a directed bond percolation threshold. Precise estima

A. Wahl, V. Hardy, C. Martin, Ch. Simon

The Pr(1-x}CaxMnO3 system exhibits a ferromagnetic insulating state for the composition range x<0.25. A metallic ferromagnetic state is never realized because of the low hole concentration and the very small averaged A-site cation radius. In the present study, the nature of the magnetic excitations at low temperature has been investigated by specific heat me

I. Goldhirsch, C. Goldenberg

The modeling of the elastic properties of disordered or nanoscale solids requires the foundations of the theory of elasticity to be revisited, as one explores scales at which this theory may no longer hold. The only cases for which microscopically based derivations of elasticity are documented are (nearly) uniformly strained lattices. A microscopic approach

Eric D. Feigelson, Patrick Broos, James A. Gaffney, Gordon Garmire

The Orion Nebula Cluster and the molecular cloud in its vicinity have been observed with the ACIS-I detector on board the Chandra X-ray Observatory with 23 hours exposure. We detect 1075 X-ray sources: 91% are spatially associated with known stellar members of the cluster, and 7% are newly identified deeply embedded cloud members. This provides the largest X

David S. Graff, Andrew Gould

Caustic-crossing binary lenses make up about 5% of all detected microlenses. The relative proper motion of a caustic-crossing binary lens can be measured with observations from a single terrestrial telescope. Thus, uniquely, binary lenses can be completely solved with only the addition of a measurement of the microlensing parallax. This solution will yield t

S. L. Snowden

This paper presents a ``man on the street&#39;&#39; view of the current status of the spectral cross calibration between the XMM-Newton EPIC, Chandra ACIS-S3, ASCA SIS and GIS, and ROSAT PSPC instruments. Using publicly released software for the extraction of spectra and the production of spectral redistribution response matrices and effective areas, the spe

R. F. Mushotzky

In this review talk I discuss the important issues of AGN research and how the new generation of X-ray observatories can help to constrain the physics of AGN. I also present a biased list of the new XMM-Newton and Chandra discoveries and how theyhave altered our view of AGN. I also present a set of what are the new types of observations that need to be perfo

John F. Hawley, Steven A. Balbus

We analyze three-dimensional magnetohydrodynamic (MHD) simulations of a nonradiative accretion flow around a black hole using a pseudo-Newtonian potential. The flow originates from a torus initially centered at 100 gravitational (Schwarzschild) radii. Accretion is driven by turbulent stresses generated self-consistently by the magnetorotational instability.

Onno R. Pols, Jasinta D. M. Dewi

Recently the observationally derived stellar-wind mass-loss rates for Wolf-Rayet stars, or massive naked helium stars, have been revised downwards by a substantial amount. We present evolutionary calculations of helium stars incorporating such revised mass-loss rates, as well as mass transfer to a close compact binary companion. Our models reach final masses

L. A. Popa, C. Burigana, N. Mandolesi

We study the CMB anisotropy induced by the non-linear perturbations in the massive neutrino density associated to the non-linear gravitational clustering proceses. Our results show that for the neutrino fraction in agreement with that indicated by the astroparticle and nuclear physics experiments and a cosmological accreting mass comparable with the mass of

Sonja Vrielmann, Raymundo Baptista

In this paper we present Physical Parameter Eclipse Mapping (PPEM) of UBVRI eclipse light curves of UU Aqr from high to low states. We used a simple, pure hydrogen LTE model to derive the temperature and surface density distribution in the accretion disc. The reconstructed effective temperatures in the disc range between 9000K and 15000K in the inner part of

Youichi Ohyama, Takashi Hamana, Nobunari Kashikawa, Masashi Chiba

We present new optical spectroscopy of the lens elliptical galax in the ``Einstein Cross&#39;&#39; lens system HST 14176+5226, using the Faint Object Camera and Spectrograph (FOCAS) of the Subaru t Our spectroscopic observations are aimed at measuring the stella dispersion of the lens galaxy, located at high redshift of z_L= as an important component to lens

Michael Hilker, Tom Richtler

In this contribution, results from CCD vby Stroemgren photometry of a statistically complete sample of red giants and stars in the main sequence turn-off region in omega Centauri are presented. From the location of stars in the (b-y),m_1 diagram metallicities have been determined. We argue that the Stroemgren metallicity in terms of element abundances has an

R. Carrera, A. Aparicio, D. Martinez-Delgado, J. Alonso-Garcia

As a part of a project devoted to the study of the Ursa Minor dSph, the star formation history of the galaxy is presented in this paper. The analysis uses wide field photometry, encompassing about 1deg x 1deg (the total covered area being 0.75 deg^2), which samples the galaxy out to its tidal radius. Derivation of the SFH has been performed using the synthet

J. Bicker, U. Fritze - v. Alvensleben, K. J. Fricke

Rich galaxy clusters in the local Universe show a large population of S0 galaxies (~ 40%) of all luminous galaxies). With increasing redshift the fraction of this S0 galaxy population is observed to strongly decrease (e.g. by a factor ~2-3 to z = 0.5) in favor of the spiral galaxy fraction while the number of bright ellipticals does not seem to change. The i

Frederic Daigne, Robert Mochkovitch

Most models for the central engine of gamma-ray bursts involve a stellar mass black hole surrounded by a thick disk formed after the merging of a system of compact objects or the collapse of a massive star. Energy released from the accretion of disk material by the black hole or from the rotation of the hole itself extracted by the Blandford-Znajek mechanism

E. Belsole, J-L. Sauvageot, R. Teyssier

We show the XMM-Newton guaranted time observations of 2 clusters of galaxies in a different stage of merger.

S. Heinz

We argue that, when compared to AGNs in dynamical terms, microquasars are found in low density, low pressure environments. Using a simple analytic model, we discuss radio lobe dynamics and emission. Dynamical considerations for GRS 1915+105 and GRO J1655-40 show that they are located in ISM densities well below the canonical n_ISM ~ 1 cm^{-3} unless the jets

Annapurni Subramaniam

We studied the stellar population and star clusters around six regions in the Large Magellanic Cloud (LMC) in order to understand the correlation between star formation and cluster formation episodes. We used the stellar data base of OGLE II LMC survey and the star cluster catalogues. The analysis of the colour-magnitude diagrams (CMDs) were used to estimate

Alister W. Graham

The best-fitting 2-dimensional plane within the 3-dimensional space of spiral galaxy disk observables (rotational velocity v_{rot}, central disk surface brightness μ_0 = -2.5log I_0, and disk scale-length h) has been constructed. Applying a three-dimensional bisector method of regression analysis to a sample of ~100 spiral galaxy disks that span more than fo

L. D. Paniak, R. J. Szabo

We show that noncommutative gauge theory in two dimensions is an exactly solvable model. A cohomological formulation of gauge theory defined on the noncommutative torus is used to show that its quantum partition function can be written as a sum over contributions from classical solutions. We derive an explicit formula for the partition function of Yang-Mills

Adi Armoni, Esperanza Lopez, Stefan Theisen

We discuss nonplanar anomalies in noncommutative gauge theories. In particular we show that a nonplanar anomaly exists when the external noncommutative momentum is zero and that it leads to a non-conservation of the associated axial charge. In the case of nonplanar local anomalies, a cancellation of the anomaly can be achieved by a Green-Schwarz mechanism. I

Zheng Zheng, Jordi Miralda-Escude

A Monte Carlo code to solve the transfer of Lyman alpha (Lya) photons is developed, which can predict the Lya image and two-dimensional Lya spectra of a hydrogen cloud with any given geometry, Lya emissivity, neutral hydrogen density distribution, and bulk velocity field. We apply the code to several simple cases of a uniform cloud to show how the Lya image

Sumit R. Das, Cesar Gomez, Soo-Jong Rey

We argue that the gauge theory dual to the Type IIB string theory in ten-dimensional pp-wave background can be thought to `live&#39; on an {\it Euclidean} subspace spanning four of the eight transverse coordinates. We then show that light-cone time evolution of the string is identifiable as the RG flow of the gauge theory -- a relation facilitating `holograp

Nicholas Jones, Horace Stoica, S. -H. Henry Tye

We reanalyze brane inflation with brane-brane interactions at an angle, which include the special case of brane-anti-brane interaction. If nature is described by a stringy realization of the brane world scenario today (with arbitrary compactification), and if some additional branes were present in the early universe, we find that an inflationary epoch is gen

Gert Aarts, Jose Maria Martinez Resco

Transport coefficients are determined by the slope of spectral functions of composite operators at zero frequency. We study the spectral function relevant for the shear viscosity for arbitrary frequencies in weakly-coupled scalar and nonabelian gauge theories at high temperature and compute the corresponding correlator in euclidean time. We discuss whether n

Z. Ye

Here I present a general formulation of water wave propagation and scattering over topographical bottoms. A simple equation is found and is compared with existing theories. As an application, the theory is extended to the case of water waves in a column with many cylindrical steps.

Thomas Quella, Volker Schomerus

We present a large and universal class of new boundary states which break part of the chiral symmetry in the underlying bulk theory. Our formulas are based on coset constructions and they can be regarded as a non-abelian generalization of the ideas that were used by Maldacena, Moore and Seiberg to build new boundary states for SU(N). We apply our expressions

D. Cremades, L. E. Ibanez, F. Marchesano

We analyze a recently constructed class of D-brane theories with the fermion spectrum of the SM at the intersection of D6-branes wrapping a compact toroidal space. We show how the SM Higgs mechanism appears as a brane recombination effect in which the branes giving rise to U(2)_L \times U(1) recombine into a single brane related to U(1)_{em}. We also show ho

Soumen Basak, Parthasarathi Majumdar

Using the analogy between a shrinking fluid vortex (`draining bathtub&#39;), modelled as a (2+1) dimensional fluid flow with a sink at the origin, and a rotating (2+1) dimensional black hole with an ergosphere, it is shown that a scalar sound wave is reflected from such a vortex with an {\it amplification} for a specific range of frequencies of the incident

Gwenael Massuyeau, Jean-Baptiste Meilhan

For S a compact connected oriented surface, we consider homology cylinders over S: these are homology cobordisms with an extra homological triviality condition. When considered up to Y_2-equivalence, which is a surgery equivalence relation arising from the Goussarov-Habiro theory, homology cylinders form an Abelian group. In this paper, when S has one or zer

Michael Gronau, Jonathan L. Rosner

We re-examine the time-dependent rates of $\bs(t) \to K^+ K^-$ and $\obs(t) \to K^+ K^-$, including a lifetime difference between neutral $\bs$ mass eigenstates. The two rates, normalized by the rate of $\bs \to \ko \ok$, are used to obtain ambiguity-free information on a strong phase and on the weak phase $γ$. We discuss the sensitivity of extracting $γ$ to

Neil O&#39;Connell

In [O&#39;Connell and Yor (2002)] a path-transformation G was introduced with the property that, for X belonging to a certain class of random walks on the integer lattice, the transformed walk G(X) has the same law as that of the original walk conditioned never to exit a type-A Weyl chamber. In this paper, we show that G is closely related to the Robinson-Sc

R. Casas-Miranda, H. J. Mo, G. Boerner

Using high--resolution N--body simulations, we test two theoretical models, based either on spherical or on ellipsoidal collapse model, for the higher--order moments of the dark matter halo distribution in CDM models. We find that a theoretical model based on spherical collapse describes accurately the simulated counts--in--cells moments for haloes of severa

M. K. Volkov, A. E. Radzhabov, N. L. Russakovich

An important role of the scalar isoscalar sigma-meson in the low-energy physics is discussed. The behavior of the sigma-meson in the hot and dense medium is studied. It is shown that in the vicinity of critical values of temperature(T) and chemical potential(m) the sigma-meson can become a sharp resonance. This effect can lead to a strong enhancement of the

Abhijit Bandyopadhyay, Sandhya Choubey, Srubabati Goswami, D. P. Roy

We investigate how the anticipated neutral current rate from $SNO$ will sharpen our understanding of the solar neutrino anomaly. Quantitative analyses are performed with representative values of this rate in the expected range of $0.8 - 1.2$. This would provide a $5 - 10 σ$ signal for $ν_e$ transition into a state containing an active neutrino component. Ass

Kamila Kowalska

There is a convincing experimental evidence that neutrinos are massive. Therefore we investigate the influence of the neutrino masses on the unification of gauge and Yukawa couplings in the framework of the Minimal Supersymmetric Standard Model. We estimate the contribution of the neutrino Yukawa coupling to the gauge and Yukawa coupling unification. We find

Véronique Bernard, Thomas R. Hemmert, Ulf-G. Meißner

We study the chiral loop corrections to the generalized Gerasimov-Drell-Hearn sum rule of the nucleon for finite photon virtuality in the framework of a Lorentz-invariant formulation of baryon chiral perturbation theory. We perform a complete one-loop calculation and obtain significant differences to previously found results based on the heavy baryon approac

J. E. Prieto, I. Markov

The formation of coherent three-dimensional islands in highly mismatched epitaxy is discussed in terms of the traditional concept of wetting. It is shown that the wetting layer and the 3D islands represent different phases which cannot be in equilibrium with each other, and the transfer of matter from the stable wetting layer to the 3D islands is thermodynam

A. A. Kirillov

It is shown that the observed fractal distribution of galaxies is, in fact, consistent with homogeneity of the Universe and observational limits on $ ΔT/T$, if the presence of dark matter and dark charge predicted by the Modified Field Theory (MOFT) is taken into account. It is also shown that indeed in MOFT the ground state for baryons does correspond to th

J. W. Clark, V. A. Khodel, M. V. Zverev

The phase transitions in dense neutron matter with triplet pairing have been investigated. The spectrum of phases of the $^3P_2$-$^3F_2$ model, which adequately describes pairing in this system, is identified and classified with the aid of a separation method for solving BCS gap equations associated with pairing states of arbitrary angular-momentum content.

Yoshiaki Yasui

We discuss one-loop five-parton amplitudes with two-quark two-photon or three-photon external legs. The amplitudes are required to evaluate the NLO corrections for the $γγjet$ production process at hadron colliders. The results have been already discussed by several groups in terms of QCD amplitudes. Here, we present more straightforward version of one-loop

K. Ichiki, M. Yahiro, T. Kajino, M. Orito

We analyze the observational constraints on brane-world cosmology whereby the universe is described as a three-brane embedded in a five-dimensional anti-de Sitter space. In this brane-universe cosmology, the Friedmann equation is modified by the appearance of extra terms which derive from existence of the extra dimensions. In the present work we concentrate

N. Kokubo, R. Besseling, V. M. Vinokur, P. H. Kes

We investigated the driven dynamics of vortices confined to mesoscopic flow channels by means of a dc-rf interference technique. The observed mode-locking steps in the $IV$-curves provide detailed information on how the number of rows and lattice structure in the channel change with magnetic field. Minima in flow stress occur when an integer number of rows i

E. Gardi, G. P. Korchemsky, D. A. Ross, S. Tafat

We study power corrections to the spin-averaged structure functions F_2 and F_L in the semi-inclusive region. The dramatic breakdown of the operator product expansion at large Bjorken x due to the formation of a narrow jet with invariant mass W (W^2=Q^2(1-x)/x) calls for an alternative approach. Our main conjecture is that the dominant contribution at each t

David G. Radcliffe

We show that if a group can be represented as a graph product of finite directly indecomposable groups, then this representation is unique.

Kenji Sakamoto, Kiyoshi Shiraishi

We discuss quantum mechanics in the moduli space consisting of two maximally charged dilaton black holes. The quantum mechanics of the two black hole system is similar to the one of DFF model, and this system has the $SL(2,R)$ conformal symmetry. Also, we discuss the bound states in this system.

A. Shafiee, M. Golshani

It is generally believed that Bell&#39;s inequality holds for the case of entangled states, including two correlated particles or special states of a single particle. Here, we derive a single-particle Bell&#39;s inequality for two correlated spin states at two successive times, appealing to the statistical independence condition in an ideal experiment, for a

Li Yang, Ling-An Wu

This note presents a practical cryptography protocol for transmitting classical and quantum information secretly and directly.

Tobias J. Osborne

In a recent paper, Rungta et. al. [Phys. Rev. A, 64, 042315, 2001] introduced a measure of mixed-state entanglement called the I-concurrence for arbitrary pairs of qudits. We find an exact formula for an entanglement measure closely related to the I-concurrence, the I-tangle, for all mixed states of two qudits having no more than two nonzero eigenvalues. We

Rajagopal Nagarajan, Simon Gay

We propose to analyse quantum protocols by applying formal verification techniques developed in classical computing for the analysis of communicating concurrent systems. One area of successful application of these techniques is that of classical security protocols, exemplified by Lowe&#39;s discovery and fix of a flaw in the well-known Needham-Schroeder auth

A. Hosoya, A. Carlini

We show that the increase of the generalized entropy by a quantum process outside the horizon of a black hole is more than the Holevo bound of the classical information lost into the black hole and which could be obtained by further observations outside the horizon. In the optimal case, the prepared information can be completely retrieved.

Giovanni Salesi

Extending in a straightforward way the standard Dirac theory, we study a quantum mechanical wave-equation describing free spinning particles --which we propose to call &#34;Pseudotachyons&#34; (PT&#39;s)-- which behave like tachyons in the momentum space, but like subluminal particles (v<c) in the ordinary space. This is allowed since, as it happens in every

D. L. Zhou, P. Zhang, C. P. Sun

The classic example of the destruction of interference fringes in a ``which-way&#39;&#39; experiment, caused by an environmental interaction, may be viewed as the destruction of first-order coherence as defined by Glauber many years ago (Glauber). However, the influence of an environment can also destroy the $n$th-order quantum coherence in a quantum system,

Lance Fortnow

A workshop sponsored by NSF C-CR and organized by the Center for Discrete Math and Theoretical Computer Science (DIMACS) was held at Elmsford, New York, January 17-18, 2002 where we had several discussions that gave structure to this report. The workshop immediately followed the Fifth Annual Quantum Information Processing Workshop that was held January 14-17

S. Pisov, A. Proykova

Phase transitions (liquid-solid, solid-solid) triggered by temperature changes are studied in free nanosized clusters of TeF_6 (SF_6) with different negative charges assigned to the fluorine atoms. Molecular dynamics simulations at constant energy show that the charge increase from q_F=0.1 e to q_F=0.25 e shifts the melting temperature towards higher values

R. Radev, A. Proykova

The thermodynamic properties of 59 TeF6 clusters that undergo temperature-driven phase transitions have been calculated with a canonical J-walking Monte Carlo technique. A parallel code for simulations has been developed and optimized on SUN3500 and CRAY-T3E computers. The Lindemann criterion shows that the clusters transform from liquid to solid and then fr

A. I. Milstein, I. S. Terekhov

The analytic expression for the cross section of low-energy electron scattering in a strong Coulomb field is obtained. It is shown that in a wide energy region this cross section differs essentially from that obtained in the first Born approximation.

A. G. Donchev, N. N. Kolesnikov, V. I. Tarasov

By the use of the variational method with exponential trial functions the upper and lower bounds of energy are calculated for a number of non-relativistic three-body Coulomb and nuclear systems. The formulas for calculation of upper and lower bounds for exponential basis are given, the lower bounds for great part of systems were calculated for the first time

L. P. Yuan, K. Chmielewski, M. Oelsner, P. U. Sauer

Radiative nucleon-deuteron capture and photo disintegration of the three-nucleo n bound state with two-body final states are described. The description uses nucleon degrees of freedom extended to include the excitation of a single nucleon to a \diso. The baryonic interaction and the electromagnetic cu rrent couple nucleonic states and states with a \diso. Ex

A. K. Chaudhuri

We have analyzed the NA58 data on $J/ψ$ suppression in Pb+Pb collisions. $J/ψ$ production is assumed to be a two step process, (i) formation of $c\bar{c}$ pair, which is accurately calculable in QCD and (ii) formation of $J/ψ$ meson from the $c\bar{c}$ pair, which can be conveniently parameterized. In a pA/AA collision, a $c\bar{c}$ pair gain relative square

A. Sibirtsev, Ch. Elster, J. Speth

The coherent $ω$-meson photoproduction from nuclei is proposed as a phenomenological method to evaluate the momentum dependence of $ω$-meson mass shift and width in nuclear matter. We analyze available data on un-separated coherent and incoherent $ω$-meson photoproduction from nuclei and extract the imaginary part of the the complex forward $ω{N}$ scattering

Noboru Takigawa, Sakir Ayik, Sachie Kimura

Employing time-dependent projection formalism, a Fokker-Planck equation with non-Markovian transport coefficients is derived for large amplitude collective motion. Properties of transport coefficients for diffusion processes in a potential well and along a potential barrier are discussed, and their connection with the fluctuation-dissipation theorem is inves

N. Bellaize

The influence of the entrance channel asymmetry upon the fragmentation process is addressed by studying heavy-ion induced reactions around the Fermi energy. The data have been recorded with the INDRA 4pi array. An event selection method called the Principal Component Analysis is presented and discussed. It is applied for the selection of central events and f

Kunihiko Kaneko

The origin of heredity is studied as a recursive state in a replicating proto-cell consisting of many molecule species in mutually catalyzing reaction networks. Protocells divide when the number of molecules, increasing due to replication, exceeds a certain threshold. We study how the chemicals in a catalytic network can form recursive production states in t

Kunihiko Kaneko

A mechanism of sympatric speciation is presented based on the interaction-induced developmental plasticity of phenotypes. First, phenotypes of individuals with identical genotypes split into a few groups, according to instability in the developmental dynamics that are triggered with the competitive interaction among individuals. Then, through mutational chan

Demeter Krupka

The purpose of this paper is to announce some new results on the structure of the higher order Euler-Lagrange mapping of the multiple-integral variational calculus on fibered manifolds,namely a description of its kernel and its image,and an explicit characterization of the conditions under which a system of partial differential equations (of arbitrary order)

Demeter Krupka

The goal of this paper is to give acomplete description of the Lagrange functions L satisfying $\cal E (L)=0$. In other words we shall study the kernel of the linear mapping $\cal L (J^1) \ni L \to \cal E (L) \in Ω^1(J^2)$, which will be referred to as the Euler mapping.

A. M. Perelomov

It is shown that the Jacobi problem of geodesics on ellipsoid may be reduced to more simple one, namely to the special case of the Clebsch problem. The last one may be solved directly by using Weber&#39;s approach in terms of multi-dimensional theta functions

M. A. Olshanetsky, A. M. Perelomov

The relation between quantum systems associated to root systems and radial parts of Laplace operators on symmetric spaces is established. From this it follows the complete integrability of some quantum systems.

Masatoshi Noumi, Yasuhiko Yamada

A new Lax pair for the sixth Painlevé equation $P_{VI}$ is constructed in the framework of the loop algebra $\mathfrak{so}(8)[z,z^{-1}]$. The whole affine Weyl group symmetry of $P_{VI}$ is interpreted as gauge transformations of the corresponding linear problem.

Pavel Exner, Sylwia Kondej

We study the Laplacian in $L^2(\mathbb{R}^3)$ perturbed on an infinite curve $Γ$ by a $δ$ interaction defined through boundary conditions which relate the corresponding generalized boundary values. We show that if $Γ$ is smooth and not a straight line but it is asymptotically straight in a suitable sense, and if the interaction does not vary along the curve,

Zakaria Giunashvili

We investigate the geometric, algebraic and homologic structures related with Poisson structure on a smooth manifold. Introduce a noncommutative foundations of these structures for a Poisson algebra. Introduce and investigate noncommutative Bott connection on a foliated manifold using the algebraic definition of submanifold and quotient manifold. Develop an

D. Auroux, S. K. Donaldson, L. Katzarkov, M. Yotov

Introducing the notion of stabilized fundamental group for the complement of a branch curve in $CP^2$, we define effectively computable invariants of symplectic 4-manifolds that generalize those previously introduced by Moishezon and Teicher for complex projective surfaces. Moreover, we study the structure of these invariants and formulate conjectures suppor

David P. Blecher, Damon M. Hay

We give various characterizations of into (not necessarily onto) complete isometries between $C^*$-algebras, generalizing a classical result of Holsztynski. Our results are related to a natural embedding of the noncommutative Shilov boundary in a second dual.

Eduardo Martinez, Tom Mestdag, Willy Sarlet

As a continuation of previous papers, we study the concept of a Lie algebroid structure on an affine bundle by means of the canonical immersion of the affine bundle into its bidual. We pay particular attention to the prolongation and various lifting procedures, and to the geometrical construction of Lagrangian-type dynamics on an affine Lie algebroid.

Neil O&#39;Connell

This is survey of some recent results connecting random matrices, non-colliding processes and queues.

Yves Laszlo, Christian Pauly

Let X be a smooth projective curve of genus g>1 defined over an algebraically closed field k of characteristic p>0. Let M_X(r) be the moduli space of semi-stable rank r vector bundles with fixed trivial determinant. The relative Frobenius map F : X \to X_1 induces by pull-back a rational map V: M_{X_1}(r) \to M_X(r). We determine the equations of V in the fo

Pierre Ghienne

We study the so-called Gray filtration on the set of phantom maps between two spaces. Using both its algebraic characterization and the Sullivan completion approach to phantom maps, we generalize some of the recent results of Le, McGibbon and Strom. We particularly emphasize on the set of phantom maps with infinite Gray index, describing it in an original al

B. Booss-Bavnbek, M. Marcolli, B. L. Wang

We give a simple proof of weak Unique Continuation Property for perturbed Dirac operators, using the Carleman inequality. We apply the result to a class of perturbations of the Seiberg-Witten monopole equations that arise in Floer theory.

Jack Allen, Housila P. Singh, Florentin Smarandache

This paper proposes a family of estimators of population mean using information on several auxiliary variables and analyzes its properties in the presence of measurement errors.

Hiroshi Yamauchi

We investigate a general theory of the Z_2-twisted representations of vertex operator superalgebras. Certain one-to-one correspondence theorems are established. We also give an explicit realization of the Ising model SVOA and its Z_2-twisted modules. As an application, we obtain the Gerald Hoehn&#39;s Babymonster SVOA VB and its Z_2-twisted module VB_{tw} fr

A. S. Dzhumadil&#39;daev

An alternating sum of compositions of N vector fields is called N-commutator. In general N-commutator of N vector fields is no longer a vector field. Question: is it possible to find N=N(n), such that N-commutator of any vector fields in $Vect(n)$ is once again a vector field. Theorem: $n^2+2n-2$-commutator is a such one. A theory of N-commutators with empha

A. S. Dzhumadil&#39;daev

Algebras with identity $(a\star b)\star (c\star d) -(a\star d)\star(c\star b)$ $=(a,b,c)\star d-(a,d,c)\star b$ are studied. Novikov algebras under Jordan multiplication and Leibniz dual algebras satisfy this identity. If algebra with such identity has unit, then it is associative and commutative.

Judith A. Packer, Marc A. Rieffel

We discuss how one can use certain filters from signal processing to describe isomorphisms between certain projective $C(\mathbb T^n)$-modules. Conversely, we show how cancellation properties for finitely generated projective modules over $C(\mathbb T^n)$ can often be used to prove the existence of continuous high pass filters, of the kind needed for multiva

Daniel C. Cohen, Peter Orlik

We construct a formal connection on the Aomoto complex of an arrangement of hyperplanes, and use it to study the Gauss-Manin connection for the moduli space of the arrangement in the cohomology of a complex rank one local system. We prove that the eigenvalues of the Gauss-Manin connection are integral linear combinations of the weights which define the local

J. R. Hiller, S. S. Pinsky, U. Trittmann

We consider dimensionally reduced three-dimensional supersymmetric Yang-Mills-Chern-Simons theory. Although the N=1 supersymmetry of this theory does not allow true massive Bogomol&#39;nyi-Prasad-Sommerfield (BPS) states, we find approximate BPS states which have non-zero masses that are almost independent of the Yang-Mills coupling constant and which are a

Tanmay Vachaspati

We consider classical and quantum dynamics on potentials that are asymptotically unbounded from below. By explicit construction we find that quantum bound states can exist in certain bottomless potentials. The classical dynamics in these potentials is novel. Only a set of zero measure of classical trajectories can escape to infinity. All other trajectories g

J. L. Boldo, J. A. Helayel-Neto, N. Panza

The mechanism of dynamical mass generation for the gauge field is studied through 1-loop. We find out that torsion is an obstruction to the appearance of a 1-loop mass correction. Contrary, if torsion is not present, a mass gap is generated for the 2-form field.