Download e-book for iPad: Annales Henri Poincaré - Volume 9 by Vincent Rivasseau (Chief Editor)

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 vast Scalar Fields to Null Infinity
Claudio Dappiaggi

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

91-107
Sinai Billiards below 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 impact for Kramers–Fokker–Planck style Operators
Frédéric Hérau, Michael Hitrik and Johannes Sjöstrand

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

329-346
Principe d’Incertitude et Positivité des Opérateurs à hint; functions 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 power 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 sure Potentials
Fatma Ghribi

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

639-654
Singular Yamabe Metrics and preliminary facts 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 data of Eigenvalues within the Hierarchical Anderson Model
Evgenij Kritchevski

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

743-773
Resonances of the restricted Hydrogen Atom and the Lamb–Dicke impact 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 when it comes to Schatten Norm Bounds on changes of Semigroups, and alertness to Schrödinger Operators
Michael Demuth and man Katriel

835-880
KAM concept for Equilibrium States in 1-D Statistical Mechanics Models
Rafael de l. a. 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 power 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 approach excited 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 sensible critical illustration for lots of Boson platforms I: The Partition Function
Tadeusz Balaban, Joel Feldman, Horst Knörrer and Eugene Trubowitz

1275-1307
A sensible critical illustration for lots of Boson platforms 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 concerning a Parameter
Friedemann Brock, Leonelo Iturriaga and Pedro Ubilla

1387-1412
Third by-product 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 easy 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 components for the Quantized Cat Map Modulo best Powers
Dubi Kelmer

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

1575-1629
Spectral and Scattering thought for Space-Cutoff P ( phi )2 types with Variable Metric
Christian Gérard and Annalisa Panati

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Additional info for Annales Henri Poincaré - Volume 9

Example text

9 (2008) Projecting Massive Scalar Fields to Null Infinity . being ψk (ρ, ζ , ) = to (9). Furthermore, π ρ Ak (ρ)ϕk (ρ, ζ ∞ F 2 2 = dζ =±1 −∞ S2 45 , ) with k = 0, 1 and ϕk chosen according dρ 2 ρ |ψ0 (ρ, ζ , )|2 + ψ1 (ρ, ζ , )|2 , 2π being the norm , 2 that defined in (6) fixing α = 2. The original F is recovered simply imposing in (12) the constraint p0 = |p|. 2. Let us now move back to the square integrable functions over Hm and, to 3 ∂2 ∂2 fix notations, let us call = − ∂p is the 2 + i=1 ∂p2i .

Chru´sciel and M. Herzlich, The mass of asymptotically hyperbolic Riemannian manifolds, Pacific J. Math. 212 (2003), no. 2, 231–264. [11] J. Corvino, Scalar curvature deformation and a gluing construction for the Einstein constraint equations, Comm. Math. 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.

Hence the above formula reads ∞ dμ(Hm ) mu(m, s, ζ) − dm 0 Hm ∞ dμ(Hm ) m−1 v(m, s, ζ) dm = 0 ∂2 3 ∂ H + 2 − 2 ∂m m ∂m m H − m2 Hm v(m, s, ζ) ∂ ∂2 − 3m ∂m2 ∂m u(m, s, ζ) , which, inserting the expression for u(m, s, ζ) in the hypothesis, becomes ∞ dμ(Hm ) m−1 v(m, s, ζ) ( dm 0 . being B = − H + 1 + B) u(m, s, ζ) = 0 , Hm H − 1. The choice of the initial surface as the unitary hyperboloid is pure convenience and no generality is lost in this process since it is possible to pick any Hm and none of the forthcoming results would be modified.

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