2期

最新文章

• Einstein metrics and complex singularities AI翻译
  作者：Calderbank, DMJ; Singer, MA
  作者单位：University of Edinburgh
  摘要：This paper is concerned with the construction of special metrics on non-compact 4-manifolds which arise as resolutions of complex orbifold singularities. Our study is close in spirit to the construction of the hyperkahler gravitational instantons, but we focus on a different class of singularities. We show that any resolution X of an isolated cyclic quotient singularity admits a complete scalar-flat Kahler metric (which is hyperkahler if and only if K-X is trivial), and that if K-X is strictly...
• Tate cohomology and periodic localization of polynomial functors AI翻译
  作者：Kuhn, NJ
  作者单位：University of Virginia
  摘要：In this paper, we show that Goodwillie calculus, as applied to functors from stable homotopy to itself, interacts in striking ways with chromatic aspects of the stable category. Localized at a fixed prime p, let T(n) be the telescope of a v(n) self map of a finite S-module of type n. The Periodicity Theorem of Hopkins and Smith implies that the Bousfield localization functor associated to T(n)(*) is independent of choices. Goodwillie's general theory says that to any homotopy functor F from S-...
• On the existence of collisionless equivariant minimizers for the classical n-body problem AI翻译
  作者：Ferrario, DL; Terracini, S
  作者单位：Polytechnic University of Milan; University of Milano-Bicocca
  摘要：We show that the minimization of the Lagrangian action functional on suitable classes of symmetric loops yields collisionless periodic orbits of the n-body problem, provided that some simple conditions on the symmetry group are satisfied. More precisely, we give a fairly general condition on symmetry groups G of the loop space Lambda for the n-body problem (with potential of homogeneous degree -alpha, with alpha>0) which ensures that the restriction of the Lagrangian action A to the space Lamb...
• Propagation of singularities for the wave equation on conic manifolds AI翻译
  作者：Melrose, R; Wunsch, J
  作者单位：Northwestern University; Massachusetts Institute of Technology (MIT)
  摘要：For the wave equation associated to the Laplacian on a compact manifold with boundary with a conic metric (with respect to which the boundary is metrically a point) the propagation of singularities through the boundary is analyzed. Under appropriate regularity assumptions the diffracted, non-direct, wave produced by the boundary is shown to have Sobolev regularity greater than the incoming wave.
• Transport equation and Cauchy problem for BV vector fields AI翻译
  作者：Ambrosio, L
  作者单位：Scuola Normale Superiore di Pisa
• On differentiability of SRB states for partially hyperbolic systems AI翻译
  作者：Dolgopyat, D
  作者单位：University System of Maryland; University of Maryland College Park
  摘要：Consider a one parameter family of diffeomorphisms f(epsilon) such that f(0) is an Anosov element in a standard abelian Anosov action having sufficiently strong mixing properties. Let nu(epsilon) be any u-Gibbs state for f(epsilon). We prove (Theorem 1) that for any C-infinity function A the map epsilon-->nu(epsilon)(A) is differentiable at epsilon=0. This implies (Corollary 2.2) that the difference of Birkhoff averages of the perturbed and unperturbed systems is proportional to epsilon. We ap...
• On the metric properties of multimodal interval maps and C2 density of Axiom A AI翻译
  作者：Shen, WX
  作者单位：University of Warwick
  摘要：In this paper, we shall prove that Axiom A maps are dense in the space of C-2 interval maps (endowed with the C-2 topology). As a step of the proof, we shall prove real and complex a priori bounds for (first return maps to certain small neighborhoods of the critical points of) real analytic multimodal interval maps with non-degenerate critical points. We shall also discuss rigidity for interval maps without large bounds.
• Existence of C1 critical subsolutions of the Hamilton-Jacobi equation AI翻译
  作者：Fathi, A; Siconolfi, A
  作者单位：Ecole Normale Superieure de Lyon (ENS de LYON); Ecole Normale Superieure de Lyon (ENS de LYON); Sapienza University Rome
• Surjectivity for Hamiltonian loop group spaces AI翻译
  作者：Bott, R; Tolman, S; Weitsman, J
  作者单位：Harvard University; University of Illinois System; University of Illinois Urbana-Champaign; University of California System; University of California Santa Cruz
  摘要：Let G be a compact Lie group, and let LG denote the corresponding loop group. Let (X,omega) be a weakly symplectic Banach manifold. Consider a Hamiltonian action of LG on (X,omega), and assume that the moment map mu:X-->Lg(*) is proper. We consider the function |mu|(2):X-->R, and use a version of Morse theory to show that the inclusion map j:mu(-1)(0)-->X induces a surjection j(*):H-G(*)(X)-->H-G(*)(mu(-1)(0)), in analogy with Kirwan's surjectivity theorem in the finite-dimensional case. We al...
• Proof of a conjecture of Zahariuta concerning a problem of Kolmogorov on the ε-entropy AI翻译
  作者：Nivoche, S
  作者单位：Centre National de la Recherche Scientifique (CNRS); Universite de Toulouse; Universite Toulouse III - Paul Sabatier
  摘要：We prove a conjecture of Zahariuta which itself solves a problem of Kolmogorov on the epsilon-entropy of some classes of analytic functions. For a given holomorphically convex compact subset K in a pseudoconvex domain D in C-n, Zahariuta's conjecture consists in approximating the relative extremal function u* (K,D), uniformly on any compact subset of D \ K, by pluricomplex Green functions on D with logarithmic poles in the compact subset K.