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SUMMARY:Jinsu Kim (POSTECH)
DTSTART:20241121T163000Z
DTEND:20241121T170000Z
DTSTAMP:20260421T124551Z
UID:MoRN/109
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MoRN/109/">N
 ew path methods for addressing the boundary issues in stochastically model
 ed reaction networks</a>\nby Jinsu Kim (POSTECH) as part of Seminar on the
  Mathematics of Reaction Networks\n\n\nAbstract\nFoster-Lyapunov criterion
  is a popular approach for studying the ergodicity of Markov chains. To ve
 rify this criterion\, we examine the infinitesimal behavior of a Markov ch
 ain\, specifically up to the first jump from the initial state. However\, 
 this approach often faces limitations when the dominant jump (usually at t
 he boundaries of the state space) is not in a preferred direction. In this
  talk\, we introduce two new path methods to address this limitation. Spec
 ifically\, we use the probability of a Markov chain following certain path
 s to study its (exponential) ergodicity. Using these path methods\, we dem
 onstrate how we identified a class of chemical reaction networks whose ass
 ociated Markov chains are (exponentially) ergodic.\n
LOCATION:https://researchseminars.org/talk/MoRN/109/
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