Annales Henri Poincaré - Volume 10 by Vincent Rivasseau (Chief Editor)

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By Vincent Rivasseau (Chief Editor)

Articles during this volume:

On the Ultraviolet challenge for the 2nd Weakly Interacting Fermi Gas
Giuseppe Benfatto

Borchers’ Commutation family for Sectors with Braid team information in Low Dimensions
Jens Mund

Dispersion family within the Noncommutative three and Wess–Zumino version within the Yang–Feldman Formalism
Claus Döscher and Jochen Zahn

The impression of Time-Dependent Coupling on Non-Equilibrium regular States
Horia D. Cornean, Hagen Neidhardt and Valentin A. Zagrebnov

Sharp Asymptotics for the Neumann Laplacian with Variable Magnetic box: Case of size 2
Nicolas Raymond

Spectral and Scattering concept of Friedrichs types at the confident part Line with Hilbert–Schmidt Perturbations
Hellmut Baumgärtel

Mean-Field restrict and Semiclassical enlargement of a Quantum Particle System
Federica Pezzotti and Mario Pulvirenti

The hint formulation for Quantum Graphs with common Self Adjoint Boundary Conditions
Jens Bolte and Sebastian Endres

Dynamics of Bianchi variety I strategies of the Einstein Equations with Anisotropic Matter
Simone Calogero and J. Mark Heinzle

Convergent Null info Expansions at Space-Like Infinity of desk bound Vacuum Solutions
Andrés E. Aceña

Octonionic Twists for Supermembrane Matrix Models
Jens Hoppe, Douglas Lundholm and Maciej Trzetrzelewski

Unbounded Orbits for Semicircular Outer Billiard
Dmitry Dolgopyat and Bassam Fayad

On Confining Potentials and crucial Self-Adjointness for Schrödinger Operators on Bounded domain names in Rn
Gheorghe Nenciu and Irina Nenciu

A decrease sure at the First Spectral hole of Schrödinger Operators with Kato classification Measures
Hendrik Vogt

High Frequency Dispersive Estimates in size Two
Simon Moulin

Entropy and rot of Correlations for actual Analytic Semi-Flows
Frédéric Naud

A Space-Time Characterization of the Kerr–Newman Metric
Willie W. Wong

Scaling restrict for Subsystems and Doplicher–Roberts Reconstruction
Roberto Conti and Gerardo Morsella

Bethe Ansatz for the common Weight Function
Luc Frappat, Sergey Khoroshkin, Stanislav Pakuliak and Éric Ragoucy

Scattering at 0 strength for beautiful Homogeneous Potentials
Jan Dereziński and Erik Skibsted

A observe on Low power Scattering for Homogeneous Long-Range Potentials
Rupert L. Frank

Analytic Perturbation idea and Renormalization research of topic Coupled to Quantized Radiation
Marcel Griesemer and David G. Hasler

Regularity stipulations for Einstein’s Equations at Spatial Infinity
Juan Antonio Valiente Kroon

Multilinear Eigenfunction Estimates for the Harmonic Oscillator and the Nonlinear Schrödinger Equation with the Harmonic Potential
Takafumi Akahori and Kenichi Ito

Weyl legislation for in part Open Quantum Maps
Emmanuel Schenck

Analyticity for a few Operator capabilities from Statistical Quantum Mechanics
Kurt Hoke, Hans-Christoph Kaiser and Joachim Rehberg

Upper Estimates of the Density of States in a single measurement Interpolating among the Wegner and the Lifshitz Regime
Bernd Metzger

Operator Theoretic tools for the Eigenvalue Counting functionality in Spectral Gaps
Alexander Pushnitski

First Order procedure and Index Theorems for Discrete and Metric Graphs
Olaf Post

Tree Quantum box Theory
Razvan Gurau, Jacques Magnen and Vincent Rivasseau

Topological Censorship for Kaluza–Klein Space-Times
Piotr T. Chruściel, Gregory J. Galloway and Didier Solis

Physical kingdom for Nonrelativistic Quantum Electrodynamics
Fumio Hiroshima and Akito Suzuki

Supersymmetric Quantum box conception: Indefinite Metric
Florin Constantinescu

Poisson and Diffusion Approximation of Stochastic grasp Equations with Control
Clément Pellegrini

Topological positive factors of big Bosons on Two-Dimensional Einstein Space–Time
Romeo Brunetti, Lorenzo Franceschini and Valter Moretti

The internal Cauchy Horizon of Axisymmetric and desk bound Black Holes with Surrounding subject in Einstein–Maxwell thought: learn by way of Soliton Methods
Jörg Hennig and Marcus Ansorg

On the Spectrum of the Resonant Quantum Kicked Rotor
Italo Guarneri

Hecke Eigenfunctions of Quantized Cat Maps Modulo best Powers
Rikard Olofsson

A Galton–Watson Estimate for Dyson Series
Hans Maassen and Dmitri Botvich

On balance of Pseudo-Conformal Blowup for L2-critical Hartree NLS
Joachim Krieger, Enno Lenzmann and Pierre Raphaël

The floor country of Relativistic Ions within the restrict of excessive Magnetic Fields
Doris H. Jakubassa-Amundsen

Dynamical part Transition for a Quantum Particle Source
Maximilian Butz and Herbert Spohn

Repeated and non-stop Interactions in Open Quantum Systems
Laurent Bruneau, Alain Joye and Marco Merkli

Gell-Mann and occasional formulation for Degenerate Unperturbed States
Christian Brouder, Gianluca Panati and Gabriel Stoltz

Non-Existence and area of expertise effects for Supercritical Semilinear Elliptic Equations
Jean Dolbeault and Robert Stańczy

Hilbert Lattice Equations
Norman D. Megill and Mladen Pavičić

Formation of Higher-dimensional Topological Black Holes
Filipe C. Mena, José Natário and Paul Tod

Perturbation approach for Particle-like ideas of the Einstein–Dirac Equations
Simona Rota Nodari

On Heisenberg-like large workforce Structures
Ramon Peniche and O. A. Sánchez-Valenzuela

Invariant Tori in Hamiltonian structures with excessive Order right Degeneracy
Yuecai Han, Yong Li and Yingfei Yi

A Gluing development relating to aspect debris generally Relativity
Iva Stavrov Allen

A development of continuing Scalar Curvature Manifolds with Delaunay-type Ends
Almir Silva Santos

All Vacuum close to Horizon Geometries in D-dimensions with (D − three) Commuting Rotational Symmetries
Stefan Hollands and Akihiro Ishibashi

The flooring nation and the Long-Time Evolution within the CMC Einstein Flow
Martin Reiris

On normal Superhomogeneous versions for Minkowski Superspacetime
Ramon Peniche, G. Salgado and O. A. Sánchez-Valenzuela

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Grosse and R. Wulkenhaar, Renormalisation of φ4 -theory on non-commutative R4 to all orders, Lett. Math. Phys. 71 (2005), 13, [arXiv:hep-th/0403232]. [22] P. Heslop and K. Sibold, Quantized equations of motion in non-commutative theories, Eur. Phys. J. C 41 (2005), 545, [arXiv:hep-th/0411161]. [23] E. Langmann and R. J. Szabo, Duality in scalar field theory on noncommutative phase spaces, Phys. Lett. B 533 (2002), 168, [arXiv:hep-th/0202039]. Vol. 10 (2009) Dispersion Relations in Noncommutative Models 59 [24] Y.

But there are some changes for the currents. It is an interesting feature of noncommutative interacting theories that the local9 currents associated to symmetries are in general not conserved [16, 42]. Examples are the energy-momentum tensor in the φ4 -model [27] and in electrodynamics [18]. , for λ = 0. We discuss this in terms of the superfield Φ. The equation of motion is 1 ¯2 ¯ Φ + mΦ + λΦΦ = 0 . − D 4 The local supercurrent is given by Vαα˙ = 1 ¯ + i{∂/αα˙ Φ, Φ} ¯ . ¯ α˙ Φ] ¯ − i{Φ, ∂/αα˙ Φ} [Dα Φ, D 2 Here we used a symmetrized version of the usual current, since this is usually advantageous in the noncommutative case.

Longo, Modular structure and duality in conformal field theory, Commun. Math. Phys. 156 (1993), 201–219. [11] D. Buchholz and K. Fredenhagen, Locality and the structure of particle states, Commun. Math. Phys 84 (1982), 1–54. [12] A. Connes, The Tomita–Takesaki theory and classification of type-III factors, Proc. Int. School Phys. Enrico Fermi, 1973, pp. 29–46. [13] S. Doplicher, R. Haag, and J. E. Roberts, Local observables and particle statistics I, Commun. Math. Phys. 23 (1971), 199. [14] S. Doplicher, R.

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