2期

最新文章

• Geometric measures in the dual Brunn-Minkowski theory and their associated Minkowski problems AI翻译
  作者：Huang, Yong; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong
  作者单位：Hunan University; New York University; New York University Tandon School of Engineering
  摘要：A longstanding question in the dual Brunn-Minkowski theory is What are the dual analogues of Federer's curvature measures for convex bodies? The answer to this is provided. This leads naturally to dual versions of Minkowski-type problems: What are necessary and sufficient conditions for a Borel measure to be a dual curvature measure of a convex body? Sufficient conditions, involving measure concentration, are established for the existence of solutions to these problems.
• A complete classification of homogeneous plane continua AI翻译
  作者：Hoehn, Logan C.; Oversteegen, Lex G.
  作者单位：Nipissing University; University of Alabama System; University of Alabama Birmingham
  摘要：We show that the only compact and connected subsets (i.e. continua) X of the plane which contain more than one point and are homogeneous, in the sense that the group of homeomorphisms of X acts transitively on X, are, up to homeomorphism, the circle , the pseudo-arc, and the circle of pseudo-arcs. These latter two spaces are fractal-like objects which do not contain any arcs. It follows that any compact and homogeneous space in the plane has the form X x Z, where X is either a point or one of ...
• Global bifurcation of steady gravity water waves with critical layers AI翻译
  作者：Constantin, Adrian; Strauss, Walter; Varvaruca, Eugen
  作者单位：University of Vienna; Brown University; Brown University; Alexandru Ioan Cuza University
• Local Hodge theory of Soergel bimodules AI翻译
  作者：Williamson, Geordie
  作者单位：University of Sydney
• Helicoidal minimal surfaces of prescribed genus AI翻译
  作者：Hoffman, David; Traizet, Martin; White, Brian
  作者单位：Stanford University; Universite de Tours
  摘要：For every genus g, we prove that contains complete, properly embedded, genus-g minimal surfaces whose two ends are asymptotic to helicoids of any prescribed pitch. We also show that as the radius of the tends to infinity, these examples converge smoothly to complete, properly embedded minimal surfaces in that are helicoidal at infinity. We prove that helicoidal surfaces in of every prescribed genus occur as such limits of examples in .
• Maximum independent sets on random regular graphs AI翻译
  作者：Ding, Jian; Sly, Allan; Sun, Nike
  作者单位：University of Chicago; University of California System; University of California Berkeley; Australian National University; Stanford University