Annals of Mathematics

最新文章

• Blowup of small data solutions for a quasilinear wave equation in two space dimensions AI翻译
  作者：Alinhac, S
  摘要：For the quasilinear wave equation partial derivative(t)(2)uu - Delta u = u(t)u(tt), we analyze the long-time behavior of classical solutions with small (not rotationally invariant) data. We give a complete asymptotic expansion of the lifespan and describe the solution close to the blowup point. It turns out that this solution is a blowup solution of cusp type, according to the terminology of the author [3].
• A new approach to inverse spectral theory. I. Fundamental formalism. AI翻译
  作者：Simon, B
  摘要：We present a new approach (distinct from Gel'fand-Levitan) to the theorem of Borg-Marchenko that the m-function (equivalently, spectral measure) for a finite interval or half-line Schrodinger operator determines the potential. Our approach is an analog of the continued fraction approach for the moment problem. We prove there is a representation for the m-function m(-kappa(2)) = -kappa - integral(0)(b) A(alpha)e(-2 alpha kappa) d alpha + O(e(-(2b-epsilon)kappa)). A on [0,a] is a function of q o...
• Hard ball systems are completely hyperbolic AI翻译
  作者：Simányi, N; Szász, D
  摘要：We consider the system of N (greater than or equal to 2) elastically colliding hard balls with masses m(1),..., m(N), radius r, moving uniformly in the flat torus T-L(V) = R-v/L. Z(v), v greater than or equal to 2. It is proved here that the relevant Lyapunov exponents of the flow do not vanish for almost every (N + 1)-tuple (m(1),..., m(N); L) of the outer geometric parameters.
• Set-polynomials and polynomial extension of the Hales-Jewett Theorem AI翻译
  作者：Bergelson, V; Leibman, A
  摘要：An abstract, Hales-Jewett type extension of the polynomial van der Waerden Theorem [BL] is established: THEOREM. Let r,d,q is an element of N. There exists N is an element of N such that for any r-coloring of the set of subsets of V = (1,..., N)(d) x (1,...,q) there exist a set a subset of V and a nonempty set gamma subset of or equal to (1,..., N) such that a boolean AND (gamma(d) x (1,..., q)) = 0 and the subsets a, a boolean OR (gamma(d) x (1)), a boolean OR (gamma(d) x (2)),..., a boolean ...
• Scharlemann's manifold is standard AI翻译
  作者：Akbulut, S
  摘要：In his 1974 thesis, Martin Scharlemann constructed a fake homotopy equivalence from a closed smooth manifold f : Q --> S-3 x S-1#S-2 x S-2, and asked the question whether or not the manifold Q itself is diffeomorphic to S-3 x S-1#S-2 x S-2. Here we answer this question affirmatively.
• The Williams Conjecture is false for irreducible subshifts AI翻译
  作者：Kim, KH; Roush, FW
  摘要：We show the Williams Conjecture is false for irreducible shifts of finite type by examining relative sign-gyration numbers of conjugacies between shifts with no points of period one or two.
• Orbit equivalence rigidity AI翻译
  作者：Furman, A
  摘要：Consider a countable group Gamma acting ergodically by measure preserving transformations on a probability space (X, mu), and let R-Gamma be the corresponding orbit equivalence relation on X. The following rigidity phenomenon is shown: there exist group actions such that the equivalence relation R-Gamma on X determines the group Gamma and the action (X, mu, r) uniquely, up to finite groups. The natural action of SLn(Z) on the n-torus R-n/Z(n), for n > 2, is one of such examples. The interpreta...
• The instability of naked singularities in the gravitational collapse of a scaler field AI翻译
  作者：Christodoulou, D
• Analytic continuation of representations and estimates of automorphic forms AI翻译
  作者：Bernstein, J; Reznikov, A
• Quillen stratification for the Steenrod algebra AI翻译
  作者：Palmieri, JH