Annales Henri Poincaré - Volume 8 by Vincent Rivasseau (Chief Editor)

By Vincent Rivasseau (Chief Editor)

Articles during this volume:

Smoothness of Correlations within the Anderson version at powerful Disorder
Jean V. Bellissard and Peter D. Hislop

Eigenfunction facts within the Localized Anderson Model
Rowan Killip and Fumihiko Nakano

Entropy of Semiclassical Measures of the Walsh-Quantized Baker’s Map
Nalini Anantharaman and Stéphane Nonnenmacher

Bounds on Supremum Norms for Hecke Eigenfunctions of Quantized Cat Maps
Pär Kurlberg

A Phase-Space examine of the Quantum Loschmidt Echo within the Semiclassical Limit
Monique Combescure and Didier Robert

Lower Bounds at the Lowest Spectral hole of Singular strength Hamiltonians
Sylwia Kondej and Ivan Veselić

Effective versions for Excitons in Carbon Nanotubes
Horia D. Cornean, Pierre Duclos and Benjamin Ricaud

Droplet Excitations for the Spin-1/2 XXZ Chain with Kink Boundary Conditions
Bruno Nachtergaele, Wolfgang Spitzer and Shannon Starr

Gauge-Invariant Characterization of Yang–Mills–Higgs Equations
Marco Castrillón López and Jaime Muñoz Masqué

Non-Singular, Vacuum, desk bound Space-Times with a damaging Cosmological Constant
Piotr T. Chruściel and Erwann Delay

Absolute Continuity of the Spectrum for Periodically Modulated Leaky Wires in R3
Pavel Exner and Rupert L. Frank

The Asymptotic Behaviour of the Fourier Transforms of Orthogonal Polynomials I: Mellin remodel Techniques
Giorgio Mantica and Sandro Vaienti

The Asymptotic Behaviour of the Fourier Transforms of Orthogonal Polynomials II: L.I.F.S. Measures and Quantum Mechanics
Giorgio Mantica and Davide Guzzetti

The HVZ Theorem for a Pseudo-Relativistic Operator
Doris H. Jakubaβa-Amundsen

Patterson–Sullivan Distributions and Quantum Ergodicity
Nalini Anantharaman and Steve Zelditch

Renormalization of the Orientable Non-commutative Gross–Neveu Model
Fabien Vignes-Tourneret

Flow-Invariant Hypersurfaces in Semi-Dispersing Billiards
Nikolai Chernov and Nandor Simányi

Large Time Asymptotics for the BBM–Burgers Equation
Nakao Hayashi, Elena I. Kaikina and Pavel I. Naumkin

Scattering Poles close to the true Axis for 2 Strictly Convex Obstacles
Alexei Iantchenko

On the Quasi-Static Evolution of Nonequilibrium regular States
Walid okay. Abou Salem

On the life and balance of the Penrose Compactification
Justin Corvino

Quantum Diffusion for the Anderson version within the Scaling Limit
László Erdős, Manfred Salmhofer and Horng-Tzer Yau

Positive Lyapunov Exponent and Minimality for the continual 1-d Quasi-Periodic Schrödinger Equation with easy Frequencies
Kristian Bjerklöv

Non-Isotropic Cusp stipulations and Regularity of the Electron Density of Molecules on the Nuclei
Søren Fournais, Thomas Østergaard Sørensen, Maria Hoffmann-Ostenhof and Thomas Hoffmann-Ostenhof

Relativistic Hydrogenic Atoms in powerful Magnetic Fields
Jean Dolbeault, Maria J. Esteban and Michael Loss

Continuity houses of critical Kernels linked to Schrödinger Operators on Manifolds
Jochen Brüning, Vladimir Geyler and Konstantin Pankrashkin

Static Vacuum ideas from Convergent Null information Expansions at Space-Like Infinity
Helmut Friedrich

Semiclassical L p Estimates
Herbert Koch, Daniel Tataru and Maciej Zworski

Long diversity Scattering and transformed Wave Operators for the Maxwell–Schrödinger approach II. the final Case
Jean Ginibre and Giorgio Velo

Triviality of Bloch and Bloch–Dirac Bundles
Gianluca Panati

The Green–Kubo formulation for in the neighborhood Interacting Fermionic Open Systems
Vojkan Jakšić, Yoshiko Ogata and Claude-Alain Pillet

Semi-Classical research for Hartree Equations in a few Supercritical Cases
Satoshi Masaki

Semiclassical research for Magnetic Scattering through Solenoidal Fields: overall move Sections
Hideo Tamura

The Inverse challenge for Perturbed Harmonic Oscillator at the Half-Line with a Dirichlet Boundary Condition
Dmitry Chelkak and Evgeny Korotyaev

Schrödinger Operators on Zigzag Nanotubes
Evgeny Korotyaev and Igor Lobanov

Existence and balance of the log–log Blow-up Dynamics for the L 2-Critical Nonlinear Schrödinger Equation in a Domain
Fabrice Planchon and Pierre Raphaël

On Surface-Symmetric Spacetimes with Collisionless and Charged Matter
Sophonie Blaise Tchapnda

A Floquet Operator with in simple terms aspect Spectrum and effort Instability
César R. de Oliveira and Mariza S. Simsen

The Rotation quantity for the Generalized Kronig–Penney Hamiltonians
Hiroaki Niikuni

Global Dispersive ideas for the Gross–Pitaevskii Equation in and 3 Dimensions
Stephen Gustafson, Kenji Nakanishi and Tai-Peng Tsai

The Bipolaron within the powerful Coupling Limit
Tadahiro Miyao and Herbert Spohn

Distant Perturbations of the Laplacian in a Multi-Dimensional Space
Denis I. Borisov

Spectral research for Adjacency Operators on Graphs
Marius Măntoiu, Serge Richard and Rafael Tiedra de Aldecoa

Erratum to “Resonance loose domain names for Non Globally Analytic Potentials” Ann. Henri Poincaré 3(4) (2002), 739–756
André Martinez

Relative Haag Duality for the loose box in Fock Representation
Paolo Camassa

Correlation Inequalities for Spin Glasses
Pierluigi Contucci and Joel Lebowitz

Decay of Quantum Correlations on a Lattice by way of warmth Kernel Methods
Laurent Amour, Claudy Cancelier, Pierre Lévy-Bruhl and Jean Nourrigat

Localization for the Anderson version on bushes with Finite Dimensions
Jonathan Breuer

Asymptotics of Random Density Matrices
Ion Nechita

Theory of Non-Equilibrium desk bound States as a idea of Resonances
Marco Merkli, Matthias Mück and Israel Michael Sigal

Scaling Diagram for the Localization size at a Band Edge
Christian Sadel and Hermann Schulz-Baldes

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Extra resources for Annales Henri Poincaré - Volume 8

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3. A slightly more complicated example In the case of D = 2, although none of the eigenvectors of F2 has any vanishing component, one can still construct eigenstates converging to a fractal measure def 1 supported on a proper subset of T2 . Indeed, we notice that F2 e0 = e0√+e = e+ , 2 2 and F2 = I2 . 6) is an eigenstate of Bk . It becomes normalized in the limit k → ∞, and one can check that the associated semiclassical measure is µ = 1/2 (ν1 (dq) × ν2 (dp) + ν2 (dq)× ν1 (dp)), where ν1 (resp.

2)), the topological entropy can be expressed using cylinder sets. Given two sequences , of finite lengths | | = n, | | = n , we define the cylinder set [ · ] ⊂ Σ as the set of sequences starting with on the right side and with on the left side. If n = n , 44 N. Anantharaman and S. Nonnenmacher Ann. Henri Poincar´e it is a ball of radius D−n for the distance dΣ . The image of [ · ] on the torus is the rectangle j j+1 j j +1 , , × , Dn Dn Dn Dn j j where n = 0. 1 · · · n , n = 0. 1 · · · n . D D In the following we will often identify cylinders and rectangles.

8) and j(k) ∈ Jk for all k ≥ 1, then the sequence of Husimi k, (k) measures (W Hψk,j(k) ) weakly converges to the Lebesgue measure on T2 . Remark 3. 3). For any state ψ ∈ HDk , the measure W Hψk,k assigns the weight | q j |ψ |2 to each vertical quantum rectangle [· ], | | = k. With respect to the partition P (n) , all Husimi measures W Hψk, , n ≤ ≤ k are equivalent: for any cylinder [·α] ∈ P (n) , we indeed have ∀ , n ≤ ≤ k, W Hψk, ([·α]) = W Hψk,k ([·α]) . 19) 4. Some explicit eigenstates of Bk The interest of the quantization Bk lies in the fact that its spectrum and eigenstates can be analytically computed.

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