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Hypercube

Publications associées (33)

On Simplices in Diameter Graphs in R-4

A graph G is a diameter graph in R-d if its vertex set is a finite subset in R-d of diameter 1 and edges join pairs of vertices a unit distance apart. It is shown that if a diameter graph G in R-4 contains the complete subgraph K on five vertices, then any ...

Maik Nauka/Interperiodica/Springer2017

Local trapping for elliptic random walks in random environments in Z(d)

Daniel Kious

We consider elliptic random walks in i.i.d. random environments on . The main goal of this paper is to study under which ellipticity conditions local trapping occurs. Our main result is to exhibit an ellipticity criterion for ballistic behavior which exten ...

Springer Heidelberg2016

Polynomial diffusions and applications in finance

Damir Filipovic, Martin Larsson

This paper provides the mathematical foundation for polynomial diffusions. They play an important role in a growing range of applications in finance, including financial market models for interest rates, credit risk, stochastic volatility, commodities and ...

Springer Verlag2016

Programming with Enumerable Sets of Structures

Viktor Kuncak, Ivan Kuraj, Daniel Jackson

We present an efficient, modular, and feature-rich framework for automated generation and validation of complex structures, suitable for tasks that explore a large space of structured values. Our framework is capable of exhaustive, incremental, parallel, a ...

Assoc Computing Machinery2015

Large simplices determined by finite point sets

János Pach, Filip Moric

Given a set P of n points in ℝd, let d1 > d2 >...denote all distinct inter-point distances generated by point pairs in P. It was shown by Schur, Martini, Perles, and Kupitz that there is at most oned-dimensional regular simplex of edge length d1 whos ...

Springer-Verlag2013

The flip-graph of the 4-dimensional cube is connected

Lionel Pournin

Flip-graph connectedness is established here for the vertex set of the 4-dimensional cube. It is found as a consequence, that this vertex set admits 92487256 triangulations, partitioned into 247451 symmetry classes. ...

Springer-Verlag2013

Vertical "III-V" V-Shaped Nanomembranes Epitaxially Grown on a Patterned Si[001] Substrate and Their Enhanced Light Scattering

Martin Heiss, Eleonora Russo, Sonia Conesa Boj, Anna Dalmau Mallorquí, Ludovit Pavel Zweifel

We report on a new form of III-IV compound semiconductor nanostructures growing epitaxially as vertical V-shaped nanomembranes on Si(001) and study their light-scattering properties. Precise position control of the InAs nanostructures in regular arrays is ...

American Chemical Society2012

A two-level time step technique for the partitioned solution of one-dimensional arterial networks

Simone Deparis, Adelmo Cristiano Innocenza Malossi

In this work a numerical strategy to address the solution of the blood flow in one-dimensional arterial networks through a topology-based decomposition is presented. Such decomposition results in the local analysis of the blood flow in simple arterial segm ...

Elsevier2012

Covering Cubes and the Closest Vector Problem

Friedrich Eisenbrand, Martin Niemeier, Nicolai Hähnle

We provide the currently fastest randomized (1+epsilon)-approximation algorithm for the closest vector problem in the infinity-norm. The running time of our method depends on the dimension n and the approximation guarantee epsilon by 2^(O(n))(log(1/epsilon ...

Acm Order Department, P O Box 64145, Baltimore, Md 21264 Usa2011

Distributed Sensor Network Localization from Local Connectivity: Performance Analysis for the HOP-TERRAIN Algorithm

Amin Karbasi

This paper addresses the problem of determining the node locations in ad-hoc sensor networks when only connectivity information is available. In previous work, we showed that the localization algorithm MDS-MAP proposed by Y. Shang \textit{et al} is able to ...

2010

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