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71.
《Expositiones Mathematicae》2019,37(3):266-291
We present and prove a topological characterization of geodesic laminations on hyperbolic surfaces of finite type. 相似文献
72.
The authors study the fluid dynamic behavior of the stochastic
Galerkin (SG for short) approximation to the kinetic Fokker-Planck
equation with random uncertainty. While the SG system at the kinetic
level is hyperbolic, its fluid dynamic limit, as the Knudsen number
goes to zero and the underlying kinetic equation approaches to the
uncertain isentropic Euler equations, is not necessarily hyperbolic,
as will be shown in the case study fashion for various orders of the
SG approximations. 相似文献
73.
Rolf Schneider 《Mathematische Nachrichten》2019,292(8):1811-1822
We consider the tessellation induced by a stationary Poisson hyperplane process in d‐dimensional Euclidean space. Under a suitable assumption on the directional distribution, and measuring the k‐faces of the tessellation by a suitable size functional, we determine a limit distribution for the shape of the typical k‐face, under the condition of given size and this tending to zero. The limit distribution is concentrated on simplices. This extends a result of Gilles Bonnet. 相似文献
74.
Single- and multiple-ratio unconstrained hyperbolic 0-1 programming problems are considered. We prove that checking whether these problems have a unique solution is NP-hard. Furthermore, we show that finding the global maximizer of problems with unique solution remains NP-hard. We also discuss complexity of local search and approximability for multiple-ratio problems. 相似文献
75.
Peter A. Hästö 《Journal of Mathematical Analysis and Applications》2005,301(2):336-353
In the first part of this investigation we generalized a weighted distance function of R.-C. Li's and found necessary and sufficient conditions for it being a metric. In this paper some properties of this so-called M-relative metric are established. Specifically, isometries and quasiconvexity results are derived. We also illustrate connections between our approach and generalizations of the hyperbolic metric. 相似文献
76.
本文讨论了2m阶双曲型方程具有奇性斜导数的边值问题。在边界奇点(即不满足Lopatinsky边界条件的点)子流形的一定假设下,证明了所论问题在Sobolev空间H~(s,s)(Q)中解的存在性和唯一性,从而将二阶双曲方程的相应问题的已有的结果(例如[1]、[4—6])推广到了高维的情形。 相似文献
77.
John Erik Fornæss 《Mathematische Annalen》2006,334(2):457-464
In this paper we investigate the support of the unique measure of maximal entropy of complex Hénon maps, J*. The main question is whether this set is the same as the analogue of the Julia set J.
July 4, 2005. The author is supported by an NSF grant 相似文献
78.
We describe fractal tessellations of the complex plane that arise naturally from Cannon–Thurston maps associated to complete,
hyperbolic, once-punctured-torus bundles. We determine the symmetry groups of these tessellations.
To our wives, Ardyth and Elena. 相似文献
79.
本文通过引进新的广义解定义,对一类非线性双曲方程组的二维Cauchy问题,证明了解的存在唯一性.并且,解可能含δ波. 相似文献
80.
Greg McShane introduced a remarkable identity for lengths of simple closed geodesics on the once punctured torus with a complete, finite volume hyperbolic structure. Bowditch later generalized this and gave sufficient conditions for the identity to hold for general type-preserving representations of a free group on two generators Γ to SL(2,C), this was further generalized by the authors to obtain sufficient conditions for a generalized McShane’s identity to hold for arbitrary (not necessarily type-preserving) non-reducible representations in Tan et al. (Submitted). Here we extend the above by giving necessary and sufficient conditions for the generalized McShane identity to hold (Akiyoshi, Miyachi and Sakuma had proved it for type-preserving representations). We also give a version of Bowditch’s variation of McShane’s identity to once-punctured torus bundles, in the case where the monodromy is generated by a reducible element, and provide necessary and sufficient conditions for the variations to hold. 相似文献