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Let d(1) < d(2) < ... denote the set of all distances between two vertices of a convex n-gon. We show that the number of pairs of vertices at distance d(2) from one another is at most n + O(1). (C) 2013 Elsevier B.V. All rights reserved. ...
The main goal of this project is to build a mean and to populate a database with correct information regarding some decided pairings. This database will then be compared to the results of algorithms that process the same pairings, which provides a way to a ...
2010
,
Let {X(t), t is an element of R-N} be a fractional Brownian motion in R-d of index H. If L(0,I) is the local time of X at 0 on the interval I subset of R-N, then there exists a positive finite constant c(=c(N,d,H)) such that ...
Springer US2011
New entrants in postal markets usually set up delivery networks by concentrating on urban areas and large business customers. This implies that they operate their network highly centralized - at least in early phases of entrance. ...
2010
Let n >= 4 be even. It is shown that every set S of n points in the plane can be connected by a (possibly self-intersecting) spanning tour (Hamiltonian cycle) consisting of n straight-line edges such that the angle between any two consecutive edges is at m ...
Former PhD students, post-docs and junior researchers of the Section de chimie et biochimie now holding positions at different universities and private companies remember the time they spent in Geneva and give an account of how this has set off and influen ...
We consider the problem of distributed estimation, where a set of nodes are required to collectively estimate some parameter of interest. We motivate and propose new versions of the diffusion LMS algorithm, including a version that outperforms previous sol ...
The k-set-agreement problem consists for a set of n processes to agree on less than k among n possibly different Values, each initially known to only one process. The problem is at the heart of distributed computing and generalizes the celebrated consensus ...
In this paper, we introduce the notion of a constrained Minkowski sumwhich for two (finite) point-sets P,Q R2 and a set of k inequalities Ax b is defined as the point-set (P Q)Ax b= x = p+q | P, q Q, Ax b. We show that typical subsequ ...
