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UID:6887@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20191206T100000
DTEND;TZID=Europe/Paris:20191206T174500
DTSTAMP:20241120T202617Z
URL:https://www.i2m.univ-amu.fr/evenements/journee-de-lequipe-alea-proba-2
 019/
SUMMARY:Journée (FRUMAM\, St Charles\, Marseille): Journée de l'équipe A
 LEA-PROBA 2019
DESCRIPTION:Journée: Programme\n\n10h-10h45 - Mathieu GÉNOIS\nTitre: Anal
 ysis of complex networks using randomized reference models\n\n11h-11h45 - 
 Raphael FORIEN\nTitre : Household epidemic models and McKean-Vlasov Poisso
 n driven SDEs\n\nIn this talk I will present an epidemic model where susce
 ptible and infected individuals are distributed in discrete households of 
 finite size. Infected individuals can either infect other individuals in t
 he same household or individuals chosen uniformly in the whole population.
  When the number of households tends to infinity\, we obtain a limit for t
 he epidemic process given in terms of a nonlinear Markov process which sol
 ves a McKean-Vlasov Poisson driven SDE. We also prove a propagation of cha
 os result. Finally\, we define a basic reproduction number R0\, and show t
 hat if R0&gt\;1\, then the nonlinear Markov process has a unique non trivi
 al ergodic invariant probability measure (i.e. the epidemic spreads to a l
 arge proportion of the population with positive probability)\, whereas if 
 R0&lt\;=1\, the non-linear Markov process converges to 0 as t tends to inf
 inity (the epidemic quickly dies out).\n\nThis is joint work with Étienne
  Pardoux.\n\n14h30-15h15 - Sacha BUFETOV\nTitre: Entire functions correspo
 nding to determinant point processes (résumé ci-après en pdf)\n\nresume
 -bufetov-journee-probas-fr-2019-12-06\n\n15h30-16h15 - Amine ASSELAH\nTitr
 e: Moderate Deviation for the volume of the range of a transient random\nw
 alk\nWe obtain moderate deviation estimates for the volume of the range fo
 r a transient random walk on the euclidean lattice. Joint work with Bruno 
 S.\n\n17h-17h45 - Pierre PICCO\nTitre : Le phénomène de la separation de
 s phases pour le modèle d'Ising unidimensionnel avec interaction à longu
 es portées
CATEGORIES:Journée(s),Manifestation scientifique
LOCATION:Saint-Charles - FRUMAM (3ème étage)\, 3\, place Victor Hugo\, Ma
 rseille\, 13003\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=3\, place Victor Hugo\, Mar
 seille\, 13003\, France;X-APPLE-RADIUS=100;X-TITLE=Saint-Charles - FRUMAM 
 (3ème étage):geo:0,0
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TZID:Europe/Paris
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DTSTART:20191027T020000
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TZOFFSETTO:+0100
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