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Geometrie aleatoire: un cadre pour la modelisation des reseaux sans fil

55 pages
Geometrie aleatoire: un cadre pour la modelisation des reseaux sans fil B. B?aszczyszyn INRIA/ENS TREC Seminaire DGA/INRIA INRIA, Rocquencourt, le 19 mars 2009

  • stochastic geometry

  • sg

  • cadre pour la modelisation des rseaux sans fil

  • sg ?

  • comprehensive stochastic

  • wireless networks ?

  • communication networks


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G´eom´etrieal´eatoire:uncadrepourla mod´elisationdesre´seauxsansl B. Baszczyszyn INRIA/ENS TREC Se´ minaire DGA/INRIA INRIA, Rocquencourt, le 19 mars 2009
A comprehensive
STOCHASTIC GEOMETRY (SG) FRAMEWORK
for the modeling ofWIRELESS NETWORKS
wireless networksSG signal detection models radio wave propagation models
Developed at INRIA by several researchers (F. Baccelli, BB, Ph. Jacquet
P.M¨uhlethaler,...) in collaborations with several academic and industrial partners
(EPFL,dornftaS,NTRISP,Orange Labs,Thomson, ...).
G´eom´etrieal´eatoire:uncadrepourlamode´lisationdesrseauxsansl
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WHAT IS STOCHASTIC GEOMETRY (SG) an ancient theory and modern contexts
SG is now a reachbranch of applied probability, which allows tostudy random phenomena on the plane or in higher dimension; it is intrinsically related to the theory ofpoint processes.
WHAT IS STOCHASTIC GEOMETRY (SG) an ancient theory and modern contexts
SG is now a reachbranch of applied probability, which allows tostudy random phenomena on the plane or in higher dimension; it is intrinsically related to the theory ofpoint processes.
Initially its development was stimulated byapplications to biology, astronomy and material sciences. Nowadays, it is also used inimage analysisand in the context of communication networks.
G´eom´etrieale´atoire:uncadrepourlamode´lisationdesrseauxsansl
3-a
SG an ancient theory and modern contexts ... A pioneer
We would like to stress the pioneering role ofEdgar N. Gilbertin using SG for
modeling of communication networks.
G´eome´trieale´atoire:uncadrepourlamod´elisationdesrseauxsansl
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