Human Mobility has attracted attentions from dierent elds of studies such as epidemic modeling, trac engineering, trac prediction and urban planning. In this survey we review major characteristics of human mobility studies including from trajectory-based studies to studies using graph and network theory. In trajectory-based studies statistical measures such as jump length distribution and radius of gyration are analyzed in order to investigate how people move in their daily life, and if it is possible to model this individual movements and make prediction based on them. Using graph in mobility studies, helps to investigate the dynamic behavior of the system, such as diusion and ow in the network and makes it easier to estimate how much one part of the network inuences another by using metrics like centrality measures. We aim to study population ow in transportation networks using mobility data to derive models and patterns, and to develop new applications in predicting phenomena such as congestion. Human Mobility studies with the new generation of mobility data provided by cellular phone networks, arise new challenges such as data storing, data representation, data analysis and computation complexity. A comparative review of dierent data types used in current tools and applications of Human Mobility studies leads us to new approaches for dealing with mentioned challenges.
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Resume Dans cet article qui developpe une Note ( Giraud, G., C. R. Acad. Sci. Paris Ser. A , 276 (1973) 1173–1175), nous prouvons que, pour n assez grand, tout bicoloriage des aretes de K n contient une proportion de K 4 dont les six aretes sont de meme couleur au moins egale a 1 46 , et que si le nombre de triangles unicolores est minimal, cette proportion passe au moins a (5 − 10 1 2 ) 64 a O(n 7 2 ) pres. Nous exposons aussi une methode de majoration des nombres de Ramsey binaires-bicolores qui fournit ϱ(6, 6) ≤ 169. Soit Ω un domaine borne dans R n , n≥3 avec une frontiere C 1,1 . On considere l'operateur Lγ(u)=⊇•(γ⊇u) ou γ(x) est une fonction a valeur reelle dans C 1,1 (Ω) avec une borne superieure positive. On definit la forme quadratique Qγ sur H 1 2 (∂Ω) par Qγ(f)=∫ Ω γ(x)|⊇u(x)| 2 dx ou u∈H 1 (Ω) est la solution unique a Lγu=0 dans Ω, u| ∂Ω =f. On etudie la reconstruction de γ a partir de Qγ Voir la bibliographie du memoire pour les references du resume. See the thesis s bibliography for the references in the summary. These Ecole polytechnique federale de Lausanne EPFL, n° 2366 (2001)Faculte informatique et communicationsJury: Paolo Frasconi, Roger Hersch, Martin Rajman, Jurgen Schmidhuber Public defense: 2001-4-6 Reference doi:10.5075 epfl-thesis-2366Print copy in library catalog Record created on 2005-03-16, modified on 2016-08-08