Download Annales Henri Poincaré - Volume 9 by Vincent Rivasseau (Chief Editor) PDF

By Vincent Rivasseau (Chief Editor)

Articles during this volume:

Rigidity and Positivity of Mass for Asymptotically Hyperbolic Manifolds
Lars Andersson, Mingliang Cai and Gregory J. Galloway

Projecting large Scalar Fields to Null Infinity
Claudio Dappiaggi

Renormalization of Orientable Non-Commutative complicated Φ63 Model
Zhituo Wang and Shaolong Wan

Sinai Billiards lower than Small exterior Forces II
Nikolai Chernov

On the amount of Nodal units for Eigenfunctions of the Laplacian at the Torus
Zeév Rudnick and Igor Wigman

Spectral research of Magnetic Laplacians on Conformally Cusp Manifolds
Sylvain Golénia and Sergiu Moroianu

On Spectral homes of Translationally Invariant Magnetic Schrödinger Operators
Dimitri Yafaev

Tunnel influence for Kramers–Fokker–Planck variety Operators
Frédéric Hérau, Michael Hitrik and Johannes Sjöstrand

Bifurcations of confident and damaging Continua in Quasilinear Elliptic Eigenvalue Problems
Petr Girg and Peter Takáč

Principe d’Incertitude et Positivité des Opérateurs à hint; purposes aux Opérateurs Densité
Maurice de Gosson and Franz Luef

A optimistic Mass Theorem on Asymptotically Hyperbolic Manifolds with Corners alongside a Hypersurface
Vincent Bonini and Jie Qing

Infrared challenge and Spatially neighborhood Observables in Electrodynamics
Andrzej Herdegen

Constructive phi four box thought with out Tears
Jacques Magnen and Vincent Rivasseau

Absolute Quantum strength Inequalities in Curved Spacetime
Christopher J. Fewster and Calvin J. Smith

Bethe–Sommerfeld Conjecture
Leonid Parnovski

Absence of Quantum States such as volatile Classical Channels
Ira Herbst and Erik Skibsted

Quasi-static Limits in Nonrelativistic Quantum Electrodynamics
Lucattilio Tenuta

Lifshits Tails for Random Schrödinger Operators with Nonsign certain Potentials
Fatma Ghribi

Reflections on Refraction (Geometrical Optics)
Michel Mendès France and Ahmed Sebbar

Singular Yamabe Metrics and preliminary information with precisely Kottler–Schwarzschild–de Sitter Ends
Piotr T. Chruściel and Daniel Pollack

Dimensional Regularization and Renormalization of Non-Commutative Quantum box Theory
Razvan Gurău and Adrian Tanasă

Poisson facts of Eigenvalues within the Hierarchical Anderson Model
Evgenij Kritchevski

Hartree–Fock thought for Pseudorelativistic Atoms
Anna Dall’Acqua, Thomas Østergaard Sørensen and Edgardo Stockmeyer

Resonances of the restricted Hydrogen Atom and the Lamb–Dicke influence in Non-Relativistic QED
Jérémy Faupin

Semiclassical Resolvent Estimates for Schrödinger Operators with Coulomb Singularities
François Castella, Thierry Jecko and Andreas Knauf

Eigenvalue Inequalities by way of Schatten Norm Bounds on ameliorations of Semigroups, and alertness to Schrödinger Operators
Michael Demuth and man Katriel

KAM conception for Equilibrium States in 1-D Statistical Mechanics Models
Rafael de los angeles Llave

Fibrés de eco-friendly et Régularité des Graphes C 0-Lagrangiens Invariants par un Flot de Tonelli
Marie-Claude Arnaud

Finite strength Scattering for the Lorentz–Maxwell Equation
Pierre Germain

Local Thermal Equilibrium States and Quantum strength Inequalities
Jan Schlemmer and Rainer Verch

Large Deviations for Quantum Markov Semigroups at the 2 × 2-Matrix Algebra
Henri Comman

On the life of Quasi-Stationary States in Non-Relativistic QED
David Hasler, Ira Herbst and Matthias Huber

Asymptotic habit of Spherically Symmetric Marginally Trapped Tubes
Catherine Williams

Structure and class of Superconformal Nets
Sebastiano Carpi, Yasuyuki Kawahigashi and Roberto Longo

A Cox method concerned about the Bose–Einstein Condensation
Nathalie Eisenbaum

Edge Currents for Quantum corridor platforms, II. Two-Edge, Bounded and Unbounded Geometries
Peter D. Hislop and Eric Soccorsi

Agmon-Type Estimates for a category of distinction Operators
Markus Klein and Elke Rosenberger

Asymptotic habit of Bifurcation department of optimistic recommendations for Semilinear Sturm–Liouville Problems
Tetsutaro Shibata

A useful imperative illustration for plenty of Boson platforms I: The Partition Function
Tadeusz Balaban, Joel Feldman, Horst Knörrer and Eugene Trubowitz

A useful crucial illustration for lots of Boson structures II: Correlation Functions
Tadeusz Balaban, Joel Feldman, Horst Knörrer and Eugene Trubowitz

Exponential Decay of Correlations in Multi-Dimensional Dispersing Billiards
Péter Bálint and Imre Péter Tóth

A Multiplicity end result for the p -Laplacian regarding a Parameter
Friedemann Brock, Leonelo Iturriaga and Pedro Ubilla

Third spinoff of the One-Electron Density on the Nucleus
Søren Fournais, Maria Hoffmann-Ostenhof and Thomas Østergaard Sørensen

The Ponzano–Regge Asymptotic of the 6j image: An ordinary Proof
Razvan Gurau

Strong Cosmic Censorship for T2-Symmetric Spacetimes with Cosmological consistent and Matter
Jacques Smulevici

On the speed of Quantum Ergodicity for Quantised Maps
Roman Schubert

On Matrix parts for the Quantized Cat Map Modulo top Powers
Dubi Kelmer

Mean box restrict for Bosons and limitless Dimensional Phase-Space Analysis
Zied Ammari and Francis Nier

Spectral and Scattering conception for Space-Cutoff P ( phi )2 types with Variable Metric
Christian Gérard and Annalisa Panati

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Phys. 214 (2000), no. 1, 137–189. [12] J. Corvino and R. M. Schoen, On the asymptotics for the vacuum Einstein constraint equations, J. Differential Geom. 73 (2006), no. 2, 185–217. [13] E. Delay, Analyse pr´ecis´ee d’´equations semi-lin´eaires elliptiques sur l’espace hyperbolique et application a ` la courbure scalaire conforme, Bull. Soc. Math. France 125 (1997), no. 3, 345–381. [14] H. , New York, 1969. [15] G. W. Gibbons, S. W. Hawking, G. T. Horowitz, and M. J. Perry, Positive mass theorems for black holes, Comm.

Moreover ∂λ(M ) = . + ∪ i+ where + = ∂J − (i+ ; M ) \ {i+ } is future null infinity. 2. λ(M ) is strongly causal. 3. Ω can be extended to a smooth function on M . 4. Ω|∂J − (i+ ;M ) = 0, dΩ(x) = 0 for x ∈ + and dΩ(i+ ) = 0, but ∇μ ∇ν Ω(i+ ) = −2gμν (i+ ). 5. Calling nμ = g μν ∇ν Ω, it exists a strictly positive smooth function ω, defined in a neighbourhood of + and satisfying ∇μ (ω 4 nμ ) = 0 on + , such that the integral curves of ω −1 nμ are complete on + . From now we shall refer to λ(M ) simply as M since no confusion will arise in the manuscript due to this identification.

Accepted: June 14, 2007. Ann. 1007/s00023-007-0349-1 Annales Henri Poincar´ e Projecting Massive Scalar Fields to Null Infinity Claudio Dappiaggi Abstract. It is known that, in an asymptotically flat spacetime, null infinity cannot act as an initial-value surface for massive scalar fields. Exploiting tools proper of harmonic analysis on hyperboloids and global norm estimates for the wave operator, we show that it is possible to circumvent such obstruction at least in Minkowski spacetime. Hence we project norm-finite solutions of the Klein–Gordon equation of motion in data on null infinity and, eventually, we interpret them in terms of boundary free field theory.

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