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

By Vincent Rivasseau (Chief Editor)

Articles during this volume:

1-33
Rigidity and Positivity of Mass for Asymptotically Hyperbolic Manifolds
Lars Andersson, Mingliang Cai and Gregory J. Galloway

35-63
Projecting large Scalar Fields to Null Infinity
Claudio Dappiaggi

65-90
Renormalization of Orientable Non-Commutative complicated Φ63 Model
Zhituo Wang and Shaolong Wan

91-107
Sinai Billiards lower than Small exterior Forces II
Nikolai Chernov

109-130
On the amount of Nodal units for Eigenfunctions of the Laplacian at the Torus
Zeév Rudnick and Igor Wigman

131-179
Spectral research of Magnetic Laplacians on Conformally Cusp Manifolds
Sylvain Golénia and Sergiu Moroianu

181-207
On Spectral homes of Translationally Invariant Magnetic Schrödinger Operators
Dimitri Yafaev

209-274
Tunnel influence for Kramers–Fokker–Planck variety Operators
Frédéric Hérau, Michael Hitrik and Johannes Sjöstrand

275-327
Bifurcations of confident and damaging Continua in Quasilinear Elliptic Eigenvalue Problems
Petr Girg and Peter Takáč

329-346
Principe d’Incertitude et Positivité des Opérateurs à hint; purposes aux Opérateurs Densité
Maurice de Gosson and Franz Luef

347-372
A optimistic Mass Theorem on Asymptotically Hyperbolic Manifolds with Corners alongside a Hypersurface
Vincent Bonini and Jie Qing

373-401
Infrared challenge and Spatially neighborhood Observables in Electrodynamics
Andrzej Herdegen

403-424
Constructive phi four box thought with out Tears
Jacques Magnen and Vincent Rivasseau

425-455
Absolute Quantum strength Inequalities in Curved Spacetime
Christopher J. Fewster and Calvin J. Smith

457-508
Bethe–Sommerfeld Conjecture
Leonid Parnovski

509-552
Absence of Quantum States such as volatile Classical Channels
Ira Herbst and Erik Skibsted

553-593
Quasi-static Limits in Nonrelativistic Quantum Electrodynamics
Lucattilio Tenuta

595-624
Lifshits Tails for Random Schrödinger Operators with Nonsign certain Potentials
Fatma Ghribi

625-638
Reflections on Refraction (Geometrical Optics)
Michel Mendès France and Ahmed Sebbar

639-654
Singular Yamabe Metrics and preliminary information with precisely Kottler–Schwarzschild–de Sitter Ends
Piotr T. Chruściel and Daniel Pollack

655-683
Dimensional Regularization and Renormalization of Non-Commutative Quantum box Theory
Razvan Gurău and Adrian Tanasă

685-709
Poisson facts of Eigenvalues within the Hierarchical Anderson Model
Evgenij Kritchevski

711-742
Hartree–Fock thought for Pseudorelativistic Atoms
Anna Dall’Acqua, Thomas Østergaard Sørensen and Edgardo Stockmeyer

743-773
Resonances of the restricted Hydrogen Atom and the Lamb–Dicke influence in Non-Relativistic QED
Jérémy Faupin

775-815
Semiclassical Resolvent Estimates for Schrödinger Operators with Coulomb Singularities
François Castella, Thierry Jecko and Andreas Knauf

817-834
Eigenvalue Inequalities by way of Schatten Norm Bounds on ameliorations of Semigroups, and alertness to Schrödinger Operators
Michael Demuth and man Katriel

835-880
KAM conception for Equilibrium States in 1-D Statistical Mechanics Models
Rafael de los angeles Llave

881-926
Fibrés de eco-friendly et Régularité des Graphes C 0-Lagrangiens Invariants par un Flot de Tonelli
Marie-Claude Arnaud

927-943
Finite strength Scattering for the Lorentz–Maxwell Equation
Pierre Germain

945-978
Local Thermal Equilibrium States and Quantum strength Inequalities
Jan Schlemmer and Rainer Verch

979-1003
Large Deviations for Quantum Markov Semigroups at the 2 × 2-Matrix Algebra
Henri Comman

1005-1028
On the life of Quasi-Stationary States in Non-Relativistic QED
David Hasler, Ira Herbst and Matthias Huber

1029-1067
Asymptotic habit of Spherically Symmetric Marginally Trapped Tubes
Catherine Williams

1069-1121
Structure and class of Superconformal Nets
Sebastiano Carpi, Yasuyuki Kawahigashi and Roberto Longo

1123-1140
A Cox method concerned about the Bose–Einstein Condensation
Nathalie Eisenbaum

1141-1175
Edge Currents for Quantum corridor platforms, II. Two-Edge, Bounded and Unbounded Geometries
Peter D. Hislop and Eric Soccorsi

1177-1215
Agmon-Type Estimates for a category of distinction Operators
Markus Klein and Elke Rosenberger

1217-1227
Asymptotic habit of Bifurcation department of optimistic recommendations for Semilinear Sturm–Liouville Problems
Tetsutaro Shibata

1229-1273
A useful imperative illustration for plenty of Boson platforms I: The Partition Function
Tadeusz Balaban, Joel Feldman, Horst Knörrer and Eugene Trubowitz

1275-1307
A useful crucial illustration for lots of Boson structures II: Correlation Functions
Tadeusz Balaban, Joel Feldman, Horst Knörrer and Eugene Trubowitz

1309-1369
Exponential Decay of Correlations in Multi-Dimensional Dispersing Billiards
Péter Bálint and Imre Péter Tóth

1371-1386
A Multiplicity end result for the p -Laplacian regarding a Parameter
Friedemann Brock, Leonelo Iturriaga and Pedro Ubilla

1387-1412
Third spinoff of the One-Electron Density on the Nucleus
Søren Fournais, Maria Hoffmann-Ostenhof and Thomas Østergaard Sørensen

1413-1424
The Ponzano–Regge Asymptotic of the 6j image: An ordinary Proof
Razvan Gurau

1425-1453
Strong Cosmic Censorship for T2-Symmetric Spacetimes with Cosmological consistent and Matter
Jacques Smulevici

1455-1477
On the speed of Quantum Ergodicity for Quantised Maps
Roman Schubert

1479-1501
On Matrix parts for the Quantized Cat Map Modulo top Powers
Dubi Kelmer

1503-1574
Mean box restrict for Bosons and limitless Dimensional Phase-Space Analysis
Zied Ammari and Francis Nier

1575-1629
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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