Annals of Mathematics

最新文章

• Markov approximations and decay of correlations for Anosov flows AI翻译
  作者：Chernov, NI
• Counterexample to boundary regularity of a strongly pseudoconvex CR submanifold: An addendum to the paper of Harvey-Lawson AI翻译
  作者：Luk, HS; Yau, SST
• Iwasawa theory for Rham representations of a local body AI翻译
  作者：Colmez, P
• Nonexistence of simple hyperbolic blow-up for the quasi-geostrophic equation AI翻译
  作者：Cordoba, D
• Flows on homogeneous spaces and Diophantine approximation on manifolds AI翻译
  作者：Kleinbock, DY; Margulis, GA
  摘要：We present a new approach to metric Diophantine approximation on manifolds based on the correspondence between approximation properties of numbers and orbit properties of certain flows on homogeneous spaces. This approach yields a new proof of a conjecture of Mahler, originally settled by V. G. Sprindzuk in 1964. We also prove several related hypotheses of Baker and Sprindzuk formulated in 1970s. The core of the proof is a theorem which generalizes and sharpens earlier results on nondivergence...
• A relative index on the space of embeddable CR-structures, I AI翻译
  作者：Epstein, CL
  摘要：We study the. problem of embeddability for three dimensional CR-manifolds. Let (M, (0) partial derivative(b)) denote a compact, embeddable, strictly pseudoconvex CR-manifold and S-0 the orthogonal projection on ker (0) partial derivative(b). If (1) partial derivative(b) denotes a deformation of this CR-structure then (1) partial derivative(b) is embeddable if and only if S-0: ker(1) partial derivative(b) --> ker(0) partial derivative(b) is a Fredholm operator. We define the relative index, Ind...
• Local connectivity of the Julia set of real polynomials AI翻译
  作者：Levin, G; Van Strien, S
  摘要：In this paper we shall show that the Julia set of real polynomials of the form f(z) = z(l) + c(1) with l an even integer and c(1) real is either totally disconnected or locally connected. This answers a question of J. Milnor.
• Quasi-periodic solutions of Hamiltonian perturbations of 2D linear Schrodinger equations AI翻译
  作者：Bourgain, J
• Handlebody construction of Stein surfaces AI翻译
  作者：Gompf, RE
  摘要：The topology of Stein surfaces and contact 3-manifolds is studied by means of handle decompositions. A simple characterization of homeomorphism types of Stein surfaces is obtained-they correspond to open handlebodies with all handles of index less than or equal to 2. An uncountable collection of exotic R-4's is shown to admit Stein structures. New invariants of contact S-manifolds are produced, including a complete (and computable) set of invariants for determining the homotopy class of a 2-pl...
• Infinite-modal maps with global chaotic behavior AI翻译
  作者：Pacifico, MJ; Rovella, A; Viana, M
  摘要：We prove that certain parametrized families of one-dimensional maps with infinitely many critical points exhibit global chaotic behavior in a persistent way: For a positive Lebesgue measure set of parameter values the map is transitive and almost every orbit has positive Lyapunov exponent. An application of these methods yields a proof of existence and even persistence of global spiral attractors for smooth flows in three dimensions, to be given in [5].