ASYMPTOTICS OF CONVEX LATTICE POLYGONAL LINES WITH A CONSTRAINED NUMBER OF VERTICES

Bureaux Julien; Enriquez Nathanael

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ASYMPTOTICS OF CONVEX LATTICE POLYGONAL LINES WITH A CONSTRAINED NUMBER OF VERTICES

机译：具有约束顶点的凸晶片多边形线的渐近学

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摘要

A detailed combinatorial analysis of planar convex lattice polygonal lines is presented. This makes it possible to answer an open question of Vershik regarding the existence of a limit shape when the number of vertices is constrained.

机译：提出了平面凸形多边形线的详细组合分析。这使得当顶点的数量受到约束时，可以回答有关限制形状的存在的打开问题。

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来源
《Israel Journal of Mathematics》 |2017年第2期|共35页
作者
Bureaux Julien; Enriquez Nathanael;
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Univ Paris Ouest Nanterre La Defense MODAL X 200 Ave Republ F-92001 Nanterre France;

Univ Paris Ouest Nanterre La Defense MODAL X 200 Ave Republ F-92001 Nanterre France;

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正文语种 eng
中图分类数学;
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专利

1. ASYMPTOTICS OF CONVEX LATTICE POLYGONAL LINES WITH A CONSTRAINED NUMBER OF VERTICES [J] . Bureaux Julien, Enriquez Nathanael Israel Journal of Mathematics . 2017,第Pta2期

机译：具有约束顶点的凸晶片多边形线的渐近学
2. UNIVERSALITY OF THE LIMIT SHAPE OF CONVEX LATTICE POLYGONAL LINES [J] . LEONID V. BOGACHEV, SAKHAVAT M. ZARBALIEV The Annals of Probability: An Official Journal of the Institute of Mathematical Statistics . 2011,第6期

机译：凸格点多边形线的极限形状的通用性
3. Behaviour of exponential three-point coordinates at the vertices of convex polygons [J] . Anisimov Dmitry, Hormann Kai, Schneider Teseo Journal of Computational and Applied Mathematics . 2019,第期

机译：凸多边形顶点指数三点坐标的行为
4. Asymptotic Expansion of the Solution of the Singularly Perturbed Convection-diffusion Equation in the 2D Convex Polygonal Domain [C] . Jan Lamac International Conference of Numerical Analysis and Applied Mathematics . 2014

机译：2D凸多边形域中奇异扰动对流扩散方程解的渐近扩展
5. On the density of the Henig efficient points of asymptotically compact sets in locally convex vector spaces. [D] . Newhall, J. F. 2010

机译：关于局部凸向量空间中渐近紧集的Henig有效点的密度。
6. Asymptotic form for random walk survival probabilities on three-dimensional lattices with traps [O] . George H. Weiss 1980

机译：带陷阱的三维晶格上随机行走生存概率的渐近形式
7. Convex lattice polygonal lines with a constrained number of vertices [O] . Bureaux Julien, Enriquez Nathanaël 2016

机译：顶点数受限的凸晶格多边形线
8. Expected Number of Vertices of a Random Convex Polytope. I. Integral Formula and Asymptotic Bounds [R] . Kelly, D. G., Tolle, J. W. 1980

机译：随机凸多面体的预期顶点数。 I.积分公式和渐近界

ASYMPTOTICS OF CONVEX LATTICE POLYGONAL LINES WITH A CONSTRAINED NUMBER OF VERTICES

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