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作者:Mukhin, Evgeny; Tarasov, Vitaly
作者单位:Purdue University System; Purdue University; Purdue University in Indianapolis; Russian Academy of Sciences; Steklov Mathematical Institute of the Russian Academy of Sciences; St. Petersburg Department of the Steklov Mathematical Institute of the Russian Academy of Sciences; Purdue University System; Purdue University; Purdue University in Indianapolis; Russian Academy of Sciences; Steklov Mathematical Institute of the Russian Academy of Sciences; St. Petersburg Department of the Steklov Mathematical Institute of the Russian Academy of Sciences
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作者:Constantin, Adrian; Strauss, Walter; Varvaruca, Eugen
作者单位:University of Vienna; Brown University; Brown University; Alexandru Ioan Cuza University
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作者:Williamson, Geordie
作者单位:University of Sydney
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作者:Bernard, Patrick; Kaloshin, Vadim; Zhang, Ke
作者单位:Universite PSL; University System of Maryland; University of Maryland College Park; University of Toronto; Universite PSL; University System of Maryland; University of Maryland College Park; University of Toronto
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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 .
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作者:Tian, Gang; Zhang, Zhenlei
作者单位:Peking University; Peking University; Princeton University; Capital Normal University
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作者:Figalli, Alessio; Guionnet, Alice
作者单位:Swiss Federal Institutes of Technology Domain; ETH Zurich; Swiss Federal Institutes of Technology Domain; ETH Zurich; Ecole Normale Superieure de Lyon (ENS de LYON); Centre National de la Recherche Scientifique (CNRS)
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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
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作者:Bishop, Christopher J.
作者单位:State University of New York (SUNY) System; Stony Brook University
摘要:We give a method for constructing transcendental entire functions with good control of both the singular values of f and the geometry of f. Among other applications, we construct a function f with bounded singular set, whose Fatou set contains a wandering domain.
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作者:Borman, Matthew Strom; Eliashberg, Yakov; Murphy, Emmy
作者单位:Stanford University; Massachusetts Institute of Technology (MIT)
摘要:We establish a parametric extension h-principle for overtwisted contact structures on manifolds of all dimensions, which is the direct generalization of the 3-dimensional result from [12]. It implies, in particular, that any closed manifold admits a contact structure in any given homotopy class of almost contact structures.