2004

最新文章

• 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
• Recurrence and genericty AI翻译
  作者：Bonatti, C; Crovisier, S
  作者单位：Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Universite Bourgogne Europe
  摘要：We prove a C-1-connecting lemma for pseudo-orbits of diffeomorphisms on compact manifolds. We explore some consequences for C-1-generic diffeomorphisms. For instance, C-1-generic conservative diffeomorphisms (on connected manifolds) are transitive(1).
• 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.
• Neron models, Lie algebras, and reduction of curves of genus one AI翻译
  作者：Liu, Q; Lorenzini, D; Raynaud, M
  作者单位：Universite de Bordeaux; Centre National de la Recherche Scientifique (CNRS); University System of Georgia; University of Georgia; Universite Paris Saclay
• Some prime factorization results for type II1 factors AI翻译
  作者：Ozawa, N; Popa, S
  作者单位：University of Tokyo; University of California System; University of California Los Angeles
  摘要：We prove several unique prime factorization results for tensor products of type II1 factors coming from groups that can be realized either as subgroups of hyperbolic groups or as discrete subgroups of connected Lie groups of real rank 1. In particular, we show that if Rcircle timesLF(r 1) circle times...circle times LFr m is isomorphic to a subfactor in Rcircle timesLF(s 1) circle times...circle times LFs n, for some 2less than or equal tor(i), s(j)less than or equal toinfinity, then mless tha...
• Time decay for solutions of Schrodinger equations with rough and time-dependent potentials AI翻译
  作者：Rodnianski, I; Schlag, W
  作者单位：Princeton University; California Institute of Technology
  摘要：In this paper we establish dispersive estimates for solutions to the linear Schrodinger equation in three dimensions (0.1) 1/ipartial derivative(t)psi - Deltapsi + Vpsi = 0 psi(s) = f where V(t,x) is a time-dependent potential that satisfies the conditions [GRAPHICS] Here c(0) is some small constant and V((tau) over cap, x) denotes the Fourier transform with respect to the first variable. We show that under these conditions (0.1) admits solutions psi(.) is an element of L-t(infinity)(L-x(2)(R-...
• Abelian ideals in a Borel subalgebra of a complex simple Lie algebra AI翻译
  作者：Suter, R
  作者单位：Swiss Federal Institutes of Technology Domain; ETH Zurich
  摘要：Let g be a complex simple Lie algebra and b a fixed Borel subalgebra of g. We describe the abelian ideals in b in a uniform way, that is, independent of the classification of complex simple Lie algebras. As an application we derive a formula for the maximal dimension of a commutative Lie subalgebra of g.
• Lattice point problems and values of quadratic forms AI翻译
  作者：Götze, F
  作者单位：University of Bielefeld
  摘要：For d-dimensional ellipsoids E with dgreater than or equal to5 we show that the number of lattice points in rE is approximated by the volume of rE, as r tends to infinity, up to an error of order O(r(d-2)) for general ellipsoids and up to an error of order o(r(d-2)) for irrational ones. The estimate refines earlier bounds of the same order for dimensions dgreater than or equal to9. As an application a conjecture of Davenport and Lewis about the shrinking of gaps between large consecutive value...