2016

最新文章

• Global well-posedness and scattering of the (4+1)-dimensional Maxwell-Klein-Gordon equation AI翻译
  作者：Oh, Sung-Jin; Tataru, Daniel
  作者单位：University of California System; University of California Berkeley
  摘要：This article constitutes the final and main part of a three-paper sequence (Ann PDE, 2016. doi:10.1007/s40818-016-0006-4; Oh and Tataru, 2015. arXiv:1503.01561), whose goal is to prove global well-posedness and scattering of the energy critical Maxwell-Klein-Gordon equation (MKG) on R1+4 for arbitrary finite energy initial data. Using the successively stronger continuation/scattering criteria established in the previous two papers (Ann PDE, 2016. doi:10.1007/s40818-016-0006-4; Oh and Tataru, 2...
• Ground states are generically a periodic orbit AI翻译
  作者：Contreras, Gonzalo
  作者单位：CIMAT - Centro de Investigacion en Matematicas
  摘要：We prove that for an expanding transformation the maximizing measures of a generic Lipschitz function are supported on a single periodic orbit.
• Statistical properties of mostly contracting fast-slow partially hyperbolic systems AI翻译
  作者：De Simoi, Jacopo; Liverani, Carlangelo
  作者单位：University of Toronto; University of Rome Tor Vergata
  摘要：We consider a class of partially hyperbolic systems on described by maps where are expanding maps of the circle. For sufficiently small and generic in an open set, we precisely classify the SRB measures for and their statistical properties, including exponential decay of correlation for Holder observables with explicit and nearly optimal bounds on the decay rate.
• The inverse problem for the local geodesic ray transform AI翻译
  作者：Uhlmann, Gunther; Vasy, Andras
  作者单位：University of Washington; University of Washington Seattle; University of Helsinki; Hong Kong University of Science & Technology; Stanford University
  摘要：Under a convexity assumption on the boundary we solve a local inverse problem, namely we show that the geodesic X-ray transform can be inverted locally in a stable manner; one even has a reconstruction formula. We also show that under an assumption on the existence of a global foliation by strictly convex hypersurfaces the geodesic X-ray transform is globally injective. In addition we prove stability estimates and propose a layer stripping type algorithm for reconstruction.
• Negative holomorphic curvature and positive canonical bundle AI翻译
  作者：Wu, Damin; Yau, Shing-Tung
  作者单位：University of Connecticut; Harvard University
  摘要：In this note we show that if a projective manifold admits a Kahler metric with negative holomorphic sectional curvature then the canonical bundle of the manifold is ample. This confirms a conjecture of the second author.
• Representation growth and rational singularities of the moduli space of local systems AI翻译
  作者：Aizenbud, Avraham; Avni, Nir
  作者单位：Weizmann Institute of Science; Northwestern University
  摘要：Let G be a semisimple algebraic group defined over , and let be a compact open subgroup of . We relate the asymptotic representation theory of and the singularities of the moduli space of G-local systems on a smooth projective curve, proving new theorems about both:We prove that there is a constant C, independent of G, such that the number of n-dimensional representations of grows slower than , confirming a conjecture of Larsen and Lubotzky. In fact, we can take . We also prove the same bounds...
• Convergence of freely decomposable Kleinian groups AI翻译
  作者：Kim, Inkang; Lecuire, Cyril; Ohshika, Ken'ichi
  作者单位：Korea Institute for Advanced Study (KIAS); Universite de Toulouse; Universite Toulouse III - Paul Sabatier; University of Osaka
  摘要：We consider a compact orientable hyperbolic 3-manifold with a compressible boundary. Suppose that we are given a sequence of geometrically finite hyperbolic metrics whose conformal boundary structures at infinity diverge to a projective lamination. We prove that if this limit projective lamination is doubly incompressible, then the sequence has compact closure in the deformation space. As a consequence we generalise Thurston's double limit theorem and solve his conjecture on convergence of fun...
• Automorphisms of projective K3 surfaces with minimum entropy AI翻译
  作者：McMullen, Curtis T.
  作者单位：Harvard University
• Control of fixed points and existence and uniqueness of centric linking systems AI翻译
  作者：Glauberman, George; Lynd, Justin
  作者单位：University of Chicago; University of Montana System; University of Montana
  摘要：A. Chermak has recently proved that to each saturated fusion system over a finite p-group, there is a unique associated centric linking system. B. Oliver extended Chermak's proof by showing that all the higher cohomological obstruction groups relevant to unique existence of centric linking systems vanish. Both proofs indirectly assume the classification of finite simple groups. We show how to remove this assumption, thereby giving a classification-free proof of the Martino-Priddy conjecture co...
• Non-landing parameter rays of the multicorns AI翻译
  作者：Inou, Hiroyuki; Mukherjee, Sabyasachi
  作者单位：Kyoto University; Constructor University; State University of New York (SUNY) System; Stony Brook University
  摘要：It is well known that every rational parameter ray of the Mandelbrot set lands at a single parameter. We study the rational parameter rays of the multicorn , the connectedness locus of unicritical antiholomorphic polynomials of degree d, and give a complete description of their accumulation properties. One of the principal results is that the parameter rays accumulating on the boundaries of odd period (except period 1) hyperbolic components of the multicorns do not land, but accumulate on arcs...