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DTSTART;TZID=Europe/Brussels:20260914T150000
DTEND;TZID=Europe/Brussels:20260914T160000
DTSTAMP:20260911T101916Z
CREATED:20260608T145106Z
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SUMMARY:Serge Richard (Nagoya University)
DESCRIPTION:Title: Age-structured model of dengue transmission dynamics with time-varying parameters\, and its application to Brazil \nAbstract: During this seminar\, we shall introduce an age-structured mathematical model with time-dependent parameters developed for investigating the dynamics of dengue transmission. Formulas for the basic reproduction number and the time-varying effective reproduction number will be presented. We shall then apply this model to Brazil and use weekly time series data from this country. Various medical parameters will be evaluated from these data\, and an extensive numerical simulations for the period 2021 – 2024 will be presented. Finally\, model predictions for the following year by using different transmission rates will be introduced. The importance of an age-structured population and climate variability will be emphasized. \nThis presentation is based on a joint work with Ihtisham Ul Haq (Nagoya University). \nThis seminar will take place in Room S08 at the Faculty of Sciences.
URL:https://www.naxys.be/event/serge-richard-nagoya-university/
CATEGORIES:NAXYS Seminar
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DTSTART;TZID=Europe/Brussels:20261112T130000
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DTSTAMP:20260929T101008Z
CREATED:20260402T100822Z
LAST-MODIFIED:20260929T101008Z
UID:2650-1794488400-1794492000@www.naxys.be
SUMMARY:Nelly Litvak (Eindhoven University of Technology)
DESCRIPTION:Title: Local weak convergence and heavy tails of PageRank \nAbstract:  \nPageRank\, introduced by Google in 1998 to rank web pages\, is one of most common centrality measures in complex networks. In the empirical data\, whenever a network\, directed or undirected\, has a power law (in-)degree distribution\, PageRank follows the power law with the same exponent.  The so-called power law hypothesis conjectured that this observation holds for all networks with power-law (in-)degree distribution. While this conjecture is very intuitive\, the actual results turn out to be much more nuanced. In this talk I will tell about the exploration of the power law hypothesis in random graph models. An important ingredient of the recent analysis is our result that if a sequence of random graphs converges locally weakly to a rooted random graph\, then the PageRank distribution converges to that of the PageRank of the root. While the local weak convergence in itself doesn’t say anything about power laws\, it does bring us towards resolving the power law hypothesis and yields many unexpected insights such as the striking difference of PageRank properties in directed versus undirected graphs. \nThis seminar will take place in Room S08 at the Faculty of Sciences.
URL:https://www.naxys.be/event/nelly-litvak-eindhoven-university-of-technology/
CATEGORIES:NAXYS Seminar
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