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Download e-book for kindle: Communications in Mathematical Physics - Volume 306 by M. Aizenman (Chief Editor)

By M. Aizenman (Chief Editor)

Articles during this volume:

1-33
Renormalization and Asymptotic enlargement of Dirac’s Polarized Vacuum
Philippe Gravejat, Mathieu Lewin and Éric Séré

35-49
Uniqueness of SRB Measures for Transitive Diffeomorphisms on Surfaces
F. Rodriguez Hertz, M. A. Rodriguez Hertz, A. Tahzibi and R. Ures

51-82
A Generalized illustration formulation for structures of Tensor Wave Equations
Arick Shao

83-118
A sequence of Algebras Generalizing the Octonions and Hurwitz-Radon Identity
Sophie Morier-Genoud and Valentin Ovsienko

119-163
Quasi-Normal Modes and Exponential strength Decay for the Kerr-de Sitter Black Hole
Semyon Dyatlov

165-186
Min- and Max-Entropy in countless Dimensions
Fabian Furrer, Johan Åberg and Renato Renner

187-191
Schrödinger Operators and the Zeros in their Eigenfunctions
Sol Schwartzman

193-228
Second Order Perturbation thought for Embedded Eigenvalues
J. Faupin, J. S. Møller and E. Skibsted

229-260
Energy Properness and Sasakian-Einstein Metrics
Xi Zhang

261-290
Burning vehicles in a Parking Lot
Jean Bertoin

291-331
Small BGK Waves and Nonlinear Landau Damping
Zhiwu Lin and Chongchun Zeng

333-364
Superconformal constructions on Generalized Calabi-Yau Metric Manifolds
Reimundo Heluani and Maxim Zabzine

365-380
Rapid Convergence to Frequency for Substitution Tilings of the Plane
José Aliste-Prieto, Daniel Coronel and Jean-Marc Gambaudo

381-417
Chiral Equivariant Cohomology of some extent: a primary Look
Andrew R. Linshaw

419-447
Genus Partition and Correlation features for Fermionic Vertex Operator Superalgebras I
Michael P. Tuite and Alexander Zuevsky

449-483
Instantons on Gravitons
Sergey A. Cherkis

485-509
Orthogonal Polynomials with Recursion Coefficients of Generalized Bounded Variation
Milivoje Lukic

511-563
From vulnerable to robust Coupling in ABJM Theory
Nadav Drukker, Marcos Mariño and Pavel Putrov

565-578
The Excitation Spectrum for Weakly Interacting Bosons
Robert Seiringer

579-615
The Quantum opposite Shannon Theorem according to One-Shot details Theory
Mario Berta, Matthias Christandl and Renato Renner

617-645
The Szegő Kernel on a Sewn Riemann Surface
Michael P. Tuite and Alexander Zuevsky

647-662
A pressure consequence for Extensions of Braided Tensor C*–Categories Derived from Compact Matrix Quantum Groups
Claudia Pinzari and John E. Roberts

663-694
The Quantum Double version with Boundary: Condensations and Symmetries
Salman Beigi, Peter W. Shor and Daniel Whalen

695-746
Large Violation of Bell Inequalities with Low Entanglement
M. Junge and C. Palazuelos

747-776
Current in Periodic Lorentz Gases with Twists
Hong-Kun Zhang

777-784
Lower Bounds for Nodal units of Eigenfunctions
Tobias H. Colding and William P. Minicozzi

785-803
Specifying Angular Momentum and heart of Mass for Vacuum preliminary info Sets
Lan-Hsuan Huang, Richard Schoen and Mu-Tao Wang

805-830
Faithful Squashed Entanglement
Fernando G. S. L. Brandão, Matthias Christandl and Jon Yard

831-851
Global options to the Ultra-Relativistic Euler Equations
B. D. Wissman

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Additional info for Communications in Mathematical Physics - Volume 306

Example text

Then using a finer analysis of laminations and Sard’s Theorem we prove transversal homoclinical intersection. Proof. Recall that Pμ and Pν (which we suppose are fixed points) comes from Katok’s closing lemma and as μ, ν are hyperbolic ergodic, both Pμ and Pν have non trivial homoclinic classes. Consequently there exist topological rectangles whose boundaries (∂ s and ∂ u ) consist of stable and unstable segments of Pμ , Pν . (See Fig. ) Choose two such rectangles Rμ , Rν such that Pμ , Pν respectively belong to the boundary of Rμ and Rν and Rμ ∩ Rν = ∅.

Given a hyperbolic periodic point p, let us define the ergodic homoclinic class of p, ( p), as the set of points x ∈ M such that (Fig. 1) Here W s (x) is the Pesin stable manifold of x, that is, 1 log d( f n (x), f n (y)) < 0 , n n→+∞ W s (x) = y ∈ M : lim sup and W u (x), is Pesin unstable manifold of x. For almost every point, Pesin stable and unstable manifolds are, indeed, immersed manifolds. 2) . It is clear that s ( p) and u ( p) are respectively s−saturated and u−saturated. 1. Let f : M → M be a C 1+α diffeomorphism over a compact manifold M and μ a hyperbolic SRB measure.

AMS Translations 71 (1952) 21. : A measure associated with Axiom A attractors. Amer. J. Math. 98, 619–654 (1976) 22. : Thermodynamic Formalism. Reading, MA: Addison Wesley, 1978 23. : Gibbs measure in ergodic theory. Russ. Math. Surv. 27, 21–69 (1972) 24. : Physical measures for partially hyperbolic surface endomorphisms. Acta Math. 194, 37–132 (2005) 25. : Analytic extensions of functions defined in closed sets. Transactions of American Mathematical Society 36(1), 63–89 (1934) 26. : What are SRB measures, and which dynamical systems have them?

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Communications in Mathematical Physics - Volume 306 by M. Aizenman (Chief Editor)


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