ALBERT

All Library Books, journals and Electronic Records Telegrafenberg

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
Filter
Collection
Publisher
Years
  • 1
    Publication Date: 2011-06-15
    Description:    A technically convenient signature of Anderson localization is exponential decay of the fractional moments of the Green function within appropriate energy ranges. We consider a random Hamiltonian on a lattice whose randomness is generated by the sign-indefinite single-site potential, which is however sign-definite at the boundary of its support. For this class of Anderson operators, we establish a finite-volume criterion which implies that the fractional moment decay property holds. This constructive criterion is satisfied at typical perturbative regimes, e.g. at spectral boundaries which satisfy “Lifshitz tail estimates” on the density of states and for sufficiently strong disorder. We also show how the fractional moment method facilitates the proof of exponential (spectral) localization for such random potentials. Content Type Journal Article Pages 1-29 DOI 10.1007/s00023-011-0112-5 Authors Alexander Elgart, 448 Department of Mathematics, McBryde Hall, Virginia Tech, Blacksburg, VA 24061, USA Martin Tautenhahn, Technische Universität Chemnitz, Fakultät für Mathematik, 09107 Chemnitz, Germany Ivan Veselić, Technische Universität Chemnitz, Fakultät für Mathematik, 09107 Chemnitz, Germany Journal Annales Henri Poincare Online ISSN 1424-0661 Print ISSN 1424-0637
    Print ISSN: 1424-0637
    Electronic ISSN: 1424-0661
    Topics: Mathematics , Physics
    Published by Springer
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 2
    Publication Date: 2011-02-24
    Description:    We place further restriction on the possible topology of stationary asymptotically flat vacuum black holes in five spacetime dimensions. We prove that the horizon manifold can be either a connected sum of Lens spaces and “handles” S 1 × S 2 , or the quotient of S 3 by certain finite groups of isometries (with no “handles”). The resulting horizon topologies include Prism manifolds and quotients of the Poincare homology sphere. We also show that the topology of the domain of outer communication is a cartesian product of the time direction with a finite connected sum of \mathbb R 4 , S 2 × S 2 ’s and CP 2 ’s, minus the black hole itself. We do not assume the existence of any Killing vector beside the asymptotically time like one required by definition for stationarity. Content Type Journal Article Pages 1-23 DOI 10.1007/s00023-011-0079-2 Authors Stefan Hollands, School of Mathematics, Cardiff University, Cardiff, UK Jan Holland, School of Mathematics, Cardiff University, Cardiff, UK Akihiro Ishibashi, KEK Theory Center, Institute of Particle and Nuclear Studies, High Energy Accelerator Research Organization (KEK), Tsukuba, Japan Journal Annales Henri Poincare Online ISSN 1424-0661 Print ISSN 1424-0637
    Print ISSN: 1424-0637
    Electronic ISSN: 1424-0661
    Topics: Mathematics , Physics
    Published by Springer
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 3
    facet.materialart.
    Unknown
    Springer
    Publication Date: 2011-04-01
    Description:    In this paper, we perform the 1/ N expansion of the colored three-dimensional Boulatov tensor model. As in matrix models, we obtain a systematic topological expansion, with increasingly complicated topologies suppressed by higher and higher powers of N . We compute the first orders of the expansion and prove that only graphs corresponding to three spheres S 3 contribute to the leading order in the large N limit. Content Type Journal Article Pages 1-19 DOI 10.1007/s00023-011-0101-8 Authors Razvan Gurau, Perimeter Institute for Theoretical Physics, 31 Caroline St., Waterloo, Ontario N2L 2Y5, Canada Journal Annales Henri Poincare Online ISSN 1424-0661 Print ISSN 1424-0637
    Print ISSN: 1424-0637
    Electronic ISSN: 1424-0661
    Topics: Mathematics , Physics
    Published by Springer
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 4
    Publication Date: 2011-04-01
    Description:    Ringström managed (in Invent Math 173(1):123–208, 2008 ) to prove future stability of solutions to Einstein’s field equations when matter consists of a scalar field with a potential creating an accelerated expansion. This was done for a quite wide class of spatially homogeneous space–times. The methods he used should be applicable also when other kinds of matter fields are added to the stress-energy tensor. This article addresses the question whether we can obtain stability results similar to those Ringström obtained if we add an electromagnetic field to the matter content. Before this question can be addressed, more general properties concerning Einstein’s field equation coupled to a scalar field and an electromagnetic field have to be settled. The most important of these questions are the existence of a maximal globally hyperbolic development and the Cauchy stability of solutions to the initial value problem. Content Type Journal Article Pages 1-69 DOI 10.1007/s00023-011-0099-y Authors Christopher Svedberg, Department of Mathematics, KTH, Lindstedtsvägen 25, 100 44 Stockholm, Sweden Journal Annales Henri Poincare Online ISSN 1424-0661 Print ISSN 1424-0637
    Print ISSN: 1424-0637
    Electronic ISSN: 1424-0661
    Topics: Mathematics , Physics
    Published by Springer
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 5
    Publication Date: 2011-05-11
    Description:    This paper contains the second part of a two-part series on the stability and instability of extreme Reissner–Nordström spacetimes for linear scalar perturbations. We continue our study of solutions to the linear wave equation \square g y = 0 on a suitable globally hyperbolic subset of such a spacetime, arising from regular initial data prescribed on a Cauchy hypersurface Σ 0 crossing the future event horizon H + . We here obtain definitive energy and pointwise decay, non-decay and blow-up results. Our estimates hold up to and including the horizon H + . A hierarchy of conservations laws on degenerate horizons is also derived. Content Type Journal Article Pages 1-48 DOI 10.1007/s00023-011-0110-7 Authors Stefanos Aretakis, Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WB UK Journal Annales Henri Poincare Online ISSN 1424-0661 Print ISSN 1424-0637
    Print ISSN: 1424-0637
    Electronic ISSN: 1424-0661
    Topics: Mathematics , Physics
    Published by Springer
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 6
    facet.materialart.
    Unknown
    Springer
    Publication Date: 2011-04-01
    Description:    It is illustrated by a class of counter examples why the Brill–Cantor criterion is not sufficient to ensure the solvability of the Lichnerowicz equation for asymptotically flat, time reflection symmetric-free data. Content Type Journal Article Pages 1-7 DOI 10.1007/s00023-011-0102-7 Authors Helmut Friedrich, Max-Planck-Institut für Gravitationsphysik, Am Mühlenberg 1, 14476 Golm, Germany Journal Annales Henri Poincare Online ISSN 1424-0661 Print ISSN 1424-0637
    Print ISSN: 1424-0637
    Electronic ISSN: 1424-0661
    Topics: Mathematics , Physics
    Published by Springer
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 7
    Publication Date: 2011-06-06
    Description:    We study the low-energy asymptotics of the spectral shift function for Schrödinger operators with potentials decaying like O (\frac1 | x | 2 ) . We prove a generalized Levinson’s theorem for this class of potentials in presence of zero eigenvalue and zero resonance. Content Type Journal Article Pages 1-44 DOI 10.1007/s00023-011-0117-0 Authors Xiaoyao Jia, Department of Mathematics, Henan University of Sciences and Technology, Luoyang, 471003 China François Nicoleau, Laboratoire de Mathématiques Jean Leray, UMR CNRS 6629, Université de Nantes, 44322 Nantes Cedex 3, France Xue Ping Wang, Laboratoire de Mathématiques Jean Leray, UMR CNRS 6629, Université de Nantes, 44322 Nantes Cedex 3, France Journal Annales Henri Poincare Online ISSN 1424-0661 Print ISSN 1424-0637
    Print ISSN: 1424-0637
    Electronic ISSN: 1424-0661
    Topics: Mathematics , Physics
    Published by Springer
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 8
    Publication Date: 2011-06-06
    Description:    In this work we give a positive answer to the following question: does Stochastic Mechanics uniquely define a three-dimensional stochastic process which describes the motion of a particle in a Bose–Einstein condensate? To this extent we study a system of N trapped bosons with pair interaction at zero temperature under the Gross–Pitaevskii scaling, which allows to give a theoretical proof of Bose–Einstein condensation for interacting trapped gases in the limit of N going to infinity. We show that under the assumption of strictly positivity and continuous differentiability of the many-body ground state wave function it is possible to rigorously define a one-particle stochastic process, unique in law, which describes the motion of a single particle in the gas and we show that, in the scaling limit, the one-particle process continuously remains outside a time dependent random “interaction-set” with probability one. Moreover, we prove that its stopped version converges, in a relative entropy sense, toward a Markov diffusion whose drift is uniquely determined by the order parameter, that is the wave function of the condensate. Content Type Journal Article Pages 1-12 DOI 10.1007/s00023-011-0116-1 Authors Laura M. Morato, Facoltà di Scienze, Università di Verona, Strada le Grazie, 37134 Verona, Italy Stefania Ugolini, Dipartimento di Matematica, Università di Milano, via Saldini, Milan, Italy Journal Annales Henri Poincare Online ISSN 1424-0661 Print ISSN 1424-0637
    Print ISSN: 1424-0637
    Electronic ISSN: 1424-0661
    Topics: Mathematics , Physics
    Published by Springer
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 9
    Publication Date: 2011-12-05
    Description:    We consider a dynamic mean-field ferromagnetic model in the low-temperature regime in the neighborhood of the zero magnetization state. We study the random time it takes for the system to make a decision, i.e., to exit the neighborhood of the unstable equilibrium and approach one of the two stable equilibrium points. We prove a limit theorem for the distribution of this random time in the thermodynamic limit. Content Type Journal Article Pages 1-13 DOI 10.1007/s00023-011-0148-6 Authors Yuri Bakhtin, School of Mathematics, Georgia Tech, Atlanta, GA 30332-0160, USA Journal Annales Henri Poincare Online ISSN 1424-0661 Print ISSN 1424-0637
    Print ISSN: 1424-0637
    Electronic ISSN: 1424-0661
    Topics: Mathematics , Physics
    Published by Springer
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 10
    Publication Date: 2011-12-05
    Description:    We consider the semiclassical asymptotics of the sum of negative eigenvalues of the three-dimensional Pauli operator with an external potential and a self-generated magnetic field B . We also add the field energy b ó õ B 2 and we minimize over all magnetic fields. The parameter β effectively determines the strength of the field. We consider the weak field regime with β h 2 ≥ const  〉 0, where h is the semiclassical parameter. For smooth potentials we prove that the semiclassical asymptotics of the total energy is given by the non-magnetic Weyl term to leading order with an error bound that is smaller by a factor h 1+ e , i.e. the subleading term vanishes. However for potentials with a Coulomb singularity, the subleading term does not vanish due to the non-semiclassical effect of the singularity. Combined with a multiscale technique, this refined estimate is used in the companion paper (Erdős et al. in Scott correction for large molecules with a self-generated magnetic field, Preprint, 2011 ) to prove the second order Scott correction to the ground state energy of large atoms and molecules. Content Type Journal Article Pages 1-60 DOI 10.1007/s00023-011-0150-z Authors László Erdős, Institute of Mathematics, University of Munich, Theresienstr. 39, 80333 Munich, Germany Søren Fournais, Department of Mathematical Sciences, Aarhus University, Ny Munkegade 118, 8000 Aarhus, Denmark Jan Philip Solovej, Department of Mathematics, University of Copenhagen, Universitetsparken 5, 2100 Copenhagen, Denmark Journal Annales Henri Poincare Online ISSN 1424-0661 Print ISSN 1424-0637
    Print ISSN: 1424-0637
    Electronic ISSN: 1424-0661
    Topics: Mathematics , Physics
    Published by Springer
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...