Convex lattice sets

2021 ◽  
pp. 131-135
Keyword(s):  
Convex Lattice

scholarly journals Jarník’s convex lattice n-gon for non-symmetric norms

2010 ◽  
Vol 270 (3-4) ◽  
pp. 627-643 ◽  
Author(s):  
Imre Bárány ◽  
Nathanaël Enriquez
Keyword(s):  
Convex Lattice

scholarly journals The Perimeter of optimal convex lattice polygons in the sense of different metrics

2001 ◽  
Vol 63 (2) ◽  
pp. 229-242 ◽  
Author(s):  
Miloš Stojaković
Keyword(s):  
Asymptotic Expression ◽  
Planar Shape ◽  
Convex Lattice ◽  
Convex Lattice Polygons ◽  
Lattice Polygons

Classes of convex lattice polygons which have minimal lp-perimeter with respect to the number of their vertices are said to be optimal in the sense of the lp-metric.It is proved that if p and q are arbitrary integers or ∞, the asymptotic expression for the lq-perimeter of these optimal convex lattice polygons Qp(n) as a function of the number of their vertices n is . for arbitrary ɛ > 0, where . and Ap is equal to the area of the planar shape |x|p + |y|p ≤ 1.

Asymptotics of convex lattice polygonal lines with a constrained number of vertices

2017 ◽  
Vol 222 (2) ◽  
pp. 515-549
Author(s):  
Julien Bureaux ◽  
Nathanaël Enriquez
Keyword(s):  
Convex Lattice

scholarly journals The Minimum Area of Convex Lattice n -Gons

COMBINATORICA ◽  
2004 ◽  
Vol 24 (2) ◽  
pp. 171-185 ◽  
Author(s):  
Norihide Tokushige ◽  
Imre B�r�ny*
Keyword(s):  
Minimum Area ◽  
Convex Lattice

On the interior lattice points of convex lattice 11-gon

2008 ◽  
Vol 30 (1-2) ◽  
pp. 193-199
Author(s):  
Xianglin Wei ◽  
Ren Ding
Keyword(s):  
Lattice Points ◽  
Convex Lattice

scholarly journals Порядково борнологические локально выпуклые решеточные конусы

2017 ◽  
Author(s):  
D. Ayaseh ◽  
A. Ranjbari
Keyword(s):  
Convex Cones ◽  
Riesz Spaces ◽  
Convex Lattice ◽  
Locally Convex Cones ◽  
Lattice Cones ◽  
Locally Convex ◽  
Special Case

In this paper, we introduce the concepts of $us$-lattice cones and order bornological locally convex lattice cones. In the special case of locally convex solid Riesz spaces, these concepts reduce to the known concepts of seminormed Riesz spaces and order bornological Riesz spaces, respectively. We define solid sets in locally convex cones and present some characterizations for order bornological locally convex lattice cones.

scholarly journals Hitting probabilities for non-convex lattice

2018 ◽  
Vol 11 (04) ◽  
pp. 486-489
Author(s):  
G. Caristi ◽  
M. Pettineo ◽  
A. Puglisi
Keyword(s):  
Hitting Probabilities ◽  
Convex Lattice
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