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

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 huge Scalar Fields to Null Infinity
Claudio Dappiaggi

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

Sinai Billiards below 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 houses of Translationally Invariant Magnetic Schrödinger Operators
Dimitri Yafaev

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

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

Principe d’Incertitude et Positivité des Opérateurs à hint; functions 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 idea with no Tears
Jacques Magnen and Vincent Rivasseau

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

Bethe–Sommerfeld Conjecture
Leonid Parnovski

Absence of Quantum States similar to 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 sure 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 records of Eigenvalues within the Hierarchical Anderson Model
Evgenij Kritchevski

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

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

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

Eigenvalue Inequalities when it comes to Schatten Norm Bounds on alterations of Semigroups, and alertness to Schrödinger Operators
Michael Demuth and man Katriel

KAM concept for Equilibrium States in 1-D Statistical Mechanics Models
Rafael de l. a. 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 power 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 type of Superconformal Nets
Sebastiano Carpi, Yasuyuki Kawahigashi and Roberto Longo

A Cox method eager 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 confident suggestions for Semilinear Sturm–Liouville Problems
Tetsutaro Shibata

A sensible necessary illustration for lots of Boson structures I: The Partition Function
Tadeusz Balaban, Joel Feldman, Horst Knörrer and Eugene Trubowitz

A sensible fundamental illustration for plenty 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 outcome for the p -Laplacian regarding a Parameter
Friedemann Brock, Leonelo Iturriaga and Pedro Ubilla

Third by-product 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 easy 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 best Powers
Dubi Kelmer

Mean box restrict for Bosons and endless 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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Additional info for Annales Henri Poincaré - Volume 9

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3 the standard global coordinates3 on each fibre of the cotangent bundle T ∗ M canonically identified as R4 × R4 . The mass hyperboloids can be parameterized4 with the coordinates r = |p | ≡ 1 . 3 2 2 ∈ [0, ∞), ζ = |pp | ∈ S2 → R3 and = |pp00 | = ±1. The value of p20 is i=1 pi fixed by the defining relation p20 = m2 + |p|2 , whereas the variable provides a way to distinguish in R4 between the upper and lower hyperboloid and we will keep track of it for the sake of generality. An interested reader can adapt the following constructions to a single hyperboloid with minor efforts.

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. 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.

Such problem was already pointed out in [20] where the following solution was suggested: it must exists a real number α ≥ 0 and a function f (r, ζ, ) such that, being x the spatial component of xμ and · the standard Euclidean scalar product on R3 , √ r 2 +m2 t φ(xμ ) = dμ(Hm ) eirx·ζ e−i f (r, ζ, ) =±1H m and φ 2 α α dμ(Hm )|(r2 + m2 ) 2 f (r, ζ, )|2 < ∞ . = (6) =±1H m Dropping from now on all references to dμ(Hm ), we may call the Hilbert spaces of functions satisfying (6) as L2α and, out of a direct inspection of the above formula, one can realize that L20 coincides with L2 (Hm ), the space of square integrable functions over the mass hyperboloid.

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