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SUMMARY:Masterclass MINT 07/05/2026
DTSTART:20260507T101500Z
DTEND:20260507T111500Z
DTSTAMP:20260430T232500Z
UID:indico-event-16486@indico.math.cnrs.fr
DESCRIPTION:Intervenant :     Josué Tchouanti Fotso (IMT)\nTitle : An i
 ntroduction to birth-death processes\nAbstract: This presentation provides
  an introduction to birth and death processes\, a fundamental class of con
 tinuous-time Markov chains that arise in many areas of applied probability
 . These processes model the evolution of a discrete system whose state cha
 nges through elementary transitions corresponding to "births" and "deaths"
 \, and they offer a particularly tractable framework for studying stochast
 ic dynamics.After introducing the formal setting and some key properties (
 transition rates\, infinitesimal generator and Markov structure)\, we will
  present several classical examples drawn from queueing theory and populat
 ion dynamics. We will then examine the associated Kolmogorov equations\, a
 s well as the conditions for the existence and the explicit form of statio
 nary distributions.Finally\, we will discuss the long-term behavior of the
 se processes and briefly mention some extensions and contemporary applicat
 ions. This presentation aims to provide both a solid theoretical understan
 ding and practical tools for analyzing stochastic models. \n\nhttps://ind
 ico.math.cnrs.fr/event/16486/
LOCATION:Salle F. Pellos (1R2-207) (Institut de Mathématiques de Toulouse
  (IMT))
URL:https://indico.math.cnrs.fr/event/16486/
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