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作者:Brendle, Simon; Choi, Kyeongsu; Daskalopoulos, Panagiota
作者单位:Columbia University
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作者:Laza, Radu; Sacca, Giulia; Voisin, Claire
作者单位:State University of New York (SUNY) System; Stony Brook University; Universite PSL; College de France
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作者:Huh, June; Wang, Botong
作者单位:Institute for Advanced Study - USA; Korea Institute for Advanced Study (KIAS); University of Wisconsin System; University of Wisconsin Madison
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作者:Paradan, Paul-Emile; Vergne, Michele
作者单位:Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Universite de Montpellier; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Universite Paris Cite; Sorbonne Universite
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作者:Bonahon, Francis; Dreyer, Guillaume
作者单位:University of Southern California; University of Notre Dame
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作者:Brock, Jeffrey F.; Bromberg, Kenneth W.
作者单位:Brown University; Utah System of Higher Education; University of Utah
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作者:Knop, Friedrich; Kroetz, Bernhard; Schlichtkrull, Henrik
作者单位:University of Erlangen Nuremberg; University of Paderborn; University of Copenhagen
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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.
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作者:Bergeron, Nicolas; Millson, John; Moeglin, Colette
作者单位:Sorbonne Universite; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Universite Paris Cite; University System of Maryland; University of Maryland College Park
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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 ...