BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Jingyi Ma (University of Wisconsin–Madison) DTSTART:20251023T153000Z DTEND:20251023T160000Z DTSTAMP:20260421T124702Z UID:MoRN/129 DESCRIPTION:Title: M athematical Analysis for a Class of Stochastic Copolymerization Processes< /a>\nby Jingyi Ma (University of Wisconsin–Madison) as part of Seminar o n the Mathematics of Reaction Networks\n\n\nAbstract\nIn this talk\, I wan t to present a rigorous mathematical framework for analyzing a class of st ochastic copolymerization processes\, where finitely many types of monomer s attach and detach at the tip of a polymer chain. These dynamics are mode led as a continuous-time Markov chain on an infinite tree-like state space . The sharp criteria for transience\, null recurrence\, and positive recu rrence in terms of the attachment and detachment rates will be established . In the transient regime\, explicit formulas for the almost sure asymptot ic composition of the polymer and its growth velocity are provided. We exp ect that the mathematical methods used and developed will also enable the study of even more complex models in the future.\n LOCATION:https://researchseminars.org/talk/MoRN/129/ END:VEVENT END:VCALENDAR