BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Tung Nguyen (University of Wisconsin-Madison) DTSTART:20210311T160000Z DTEND:20210311T163000Z DTSTAMP:20260421T124518Z UID:MoRN/18 DESCRIPTION:Title: Pr evalence of deficiency zero for random reaction networks\nby Tung Nguy en (University of Wisconsin-Madison) as part of Seminar on the Mathematics of Reaction Networks\n\n\nAbstract\nIn the study of reaction networks\, t here is usually a strong connection between the network structure and the qualitative behavior of the dynamical system. Certain network structures s uch as deficiency zero ensure many desirable behaviors of the dynamical sy stems including existence and stability of equilibrium.\n\nIn this talk\, I will attempt to address a natural question: how prevalent these structur es (in particular deficiency zero) are among random reaction networks. To answer this question\, it is important to have a framework to generate ran dom reaction networks. I will present two such frameworks: an Erdos-Renyi framework\, and a stochastic block model framework-which is essentially a more generalized version of Erdos-Renyi. Next\, I will examine the scaling limit (as the number of species goes to infinity) of the probability that a random reaction network has deficiency zero.\n LOCATION:https://researchseminars.org/talk/MoRN/18/ END:VEVENT END:VCALENDAR