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

By Vincent Rivasseau (Chief Editor)

Articles during this volume:

1-26
Smoothness of Correlations within the Anderson version at powerful Disorder
Jean V. Bellissard and Peter D. Hislop

27-36
Eigenfunction facts within the Localized Anderson Model
Rowan Killip and Fumihiko Nakano

37-74
Entropy of Semiclassical Measures of the Walsh-Quantized Baker’s Map
Nalini Anantharaman and Stéphane Nonnenmacher

75-89
Bounds on Supremum Norms for Hecke Eigenfunctions of Quantized Cat Maps
Pär Kurlberg

91-108
A Phase-Space examine of the Quantum Loschmidt Echo within the Semiclassical Limit
Monique Combescure and Didier Robert

109-134
Lower Bounds at the Lowest Spectral hole of Singular strength Hamiltonians
Sylwia Kondej and Ivan Veselić

135-163
Effective versions for Excitons in Carbon Nanotubes
Horia D. Cornean, Pierre Duclos and Benjamin Ricaud

165-201
Droplet Excitations for the Spin-1/2 XXZ Chain with Kink Boundary Conditions
Bruno Nachtergaele, Wolfgang Spitzer and Shannon Starr

203-217
Gauge-Invariant Characterization of Yang–Mills–Higgs Equations
Marco Castrillón López and Jaime Muñoz Masqué

219-239
Non-Singular, Vacuum, desk bound Space-Times with a damaging Cosmological Constant
Piotr T. Chruściel and Erwann Delay

241-263
Absolute Continuity of the Spectrum for Periodically Modulated Leaky Wires in R3
Pavel Exner and Rupert L. Frank

265-300
The Asymptotic Behaviour of the Fourier Transforms of Orthogonal Polynomials I: Mellin remodel Techniques
Giorgio Mantica and Sandro Vaienti

301-336
The Asymptotic Behaviour of the Fourier Transforms of Orthogonal Polynomials II: L.I.F.S. Measures and Quantum Mechanics
Giorgio Mantica and Davide Guzzetti

337-360
The HVZ Theorem for a Pseudo-Relativistic Operator
Doris H. Jakubaβa-Amundsen

361-426
Patterson–Sullivan Distributions and Quantum Ergodicity
Nalini Anantharaman and Steve Zelditch

427-474
Renormalization of the Orientable Non-commutative Gross–Neveu Model
Fabien Vignes-Tourneret

475-483
Flow-Invariant Hypersurfaces in Semi-Dispersing Billiards
Nikolai Chernov and Nandor Simányi

485-511
Large Time Asymptotics for the BBM–Burgers Equation
Nakao Hayashi, Elena I. Kaikina and Pavel I. Naumkin

513-568
Scattering Poles close to the true Axis for 2 Strictly Convex Obstacles
Alexei Iantchenko

569-596
On the Quasi-Static Evolution of Nonequilibrium regular States
Walid okay. Abou Salem

597-620
On the life and balance of the Penrose Compactification
Justin Corvino

621-685
Quantum Diffusion for the Anderson version within the Scaling Limit
László Erdős, Manfred Salmhofer and Horng-Tzer Yau

687-730
Positive Lyapunov Exponent and Minimality for the continual 1-d Quasi-Periodic Schrödinger Equation with easy Frequencies
Kristian Bjerklöv

731-748
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

749-779
Relativistic Hydrogenic Atoms in powerful Magnetic Fields
Jean Dolbeault, Maria J. Esteban and Michael Loss

781-816
Continuity houses of critical Kernels linked to Schrödinger Operators on Manifolds
Jochen Brüning, Vladimir Geyler and Konstantin Pankrashkin

817-884
Static Vacuum ideas from Convergent Null information Expansions at Space-Like Infinity
Helmut Friedrich

885-916
Semiclassical L p Estimates
Herbert Koch, Daniel Tataru and Maciej Zworski

917-994
Long diversity Scattering and transformed Wave Operators for the Maxwell–Schrödinger approach II. the final Case
Jean Ginibre and Giorgio Velo

995-1011
Triviality of Bloch and Bloch–Dirac Bundles
Gianluca Panati

1013-1036
The Green–Kubo formulation for in the neighborhood Interacting Fermionic Open Systems
Vojkan Jakšić, Yoshiko Ogata and Claude-Alain Pillet

1037-1069
Semi-Classical research for Hartree Equations in a few Supercritical Cases
Satoshi Masaki

1071-1114
Semiclassical research for Magnetic Scattering through Solenoidal Fields: overall move Sections
Hideo Tamura

1115-1150
The Inverse challenge for Perturbed Harmonic Oscillator at the Half-Line with a Dirichlet Boundary Condition
Dmitry Chelkak and Evgeny Korotyaev

1151-1176
Schrödinger Operators on Zigzag Nanotubes
Evgeny Korotyaev and Igor Lobanov

1177-1219
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

1221-1253
On Surface-Symmetric Spacetimes with Collisionless and Charged Matter
Sophonie Blaise Tchapnda

1255-1277
A Floquet Operator with in simple terms aspect Spectrum and effort Instability
César R. de Oliveira and Mariza S. Simsen

1279-1301
The Rotation quantity for the Generalized Kronig–Penney Hamiltonians
Hiroaki Niikuni

1303-1331
Global Dispersive ideas for the Gross–Pitaevskii Equation in and 3 Dimensions
Stephen Gustafson, Kenji Nakanishi and Tai-Peng Tsai

1333-1370
The Bipolaron within the powerful Coupling Limit
Tadahiro Miyao and Herbert Spohn

1371-1399
Distant Perturbations of the Laplacian in a Multi-Dimensional Space
Denis I. Borisov

1401-1423
Spectral research for Adjacency Operators on Graphs
Marius Măntoiu, Serge Richard and Rafael Tiedra de Aldecoa

1425-1431
Erratum to “Resonance loose domain names for Non Globally Analytic Potentials” Ann. Henri Poincaré 3(4) (2002), 739–756
André Martinez

1433-1459
Relative Haag Duality for the loose box in Fock Representation
Paolo Camassa

1461-1467
Correlation Inequalities for Spin Glasses
Pierluigi Contucci and Joel Lebowitz

1469-1506
Decay of Quantum Correlations on a Lattice by way of warmth Kernel Methods
Laurent Amour, Claudy Cancelier, Pierre Lévy-Bruhl and Jean Nourrigat

1507-1520
Localization for the Anderson version on bushes with Finite Dimensions
Jonathan Breuer

1521-1538
Asymptotics of Random Density Matrices
Ion Nechita

1539-1593
Theory of Non-Equilibrium desk bound States as a idea of Resonances
Marco Merkli, Matthias Mück and Israel Michael Sigal

1595-1621
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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