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

By Vincent Rivasseau (Chief Editor)

Articles during this volume:

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

27-36
Eigenfunction information 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 research 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 capability 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 unfavourable 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 genuine Axis for 2 Strictly Convex Obstacles
Alexei Iantchenko

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

597-620
On the lifestyles 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 simple 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 homes of indispensable Kernels linked to Schrödinger Operators on Manifolds
Jochen Brüning, Vladimir Geyler and Konstantin Pankrashkin

817-884
Static Vacuum ideas from Convergent Null info 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 changed Wave Operators for the Maxwell–Schrödinger approach II. the overall 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 community 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 by way of Solenoidal Fields: overall pass 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 merely 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 recommendations 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 unfastened 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 means 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 concept 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

Sample text

The quantization Opk, is in some sense the dual of the Husimi representation W H k, : R ∀f ∈ Lip(Σ), ∀ψ ∈ HDk , ψ| Opk, (f )|ψ = T2 W Hψk, (x) f (x) dx . 10) Vol. 8 (2007) Entropy of Semiclassical Measures 49 The following proposition shows that this family of quantizations satisfy a certain number of “reasonable” properties. 1. has |f (x) − f (y)| . dΣ (x, y) x=y∈Σ def Lip = sup |f (x)| + sup x∈Σ i) For any index 0 ≤ Opk, (f ∗ ) = Opk, (f )∗ , ≤ k and observable f ∈ Lip(Σ), one tr Opk, (f ) = Dk f (x) dx .

1). To this end, we partition Rd into cubes whose sides have length lL /L: Cp (L) = x ∈ Rd : xj ∈ [pj lL /L, (pj + 1)lL /L) for all 1 ≤ j ≤ d , p ∈ Zd . Note that the support of d˜ ηL,p is contained in R × Cp (L). Wegner’s estimate, [11], is useful for bounding various error terms that appear in the proof. 1. 2) and E δx f (HL ) δx ≤ ρ ∞ f 1 . Recall that ρ is the probability density for the random potential. 1. Suppose FM-localization holds in a neighbourhood of E0 . 4) p as L → ∞. This remains true if f is the characteristic function of a rectangle (with sides parallel to the axes).

The “superscars” constructed in [18] do indeed satisfy this lower bound. The proof of that conjecture will necessarily be more technical than in the present paper, due to the presence of small remainders, and also the more complicated nonlinear classical dynamics. Let us now outline the structure of the paper. In Section 2 we describe the model of the classical baker’s map. Its Walsh quantization is presented in Section 3, and some of its properties are analyzed. Some particular eigenstates with interesting localization properties are exhibited in Section 4.

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