BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Daniele Cappelletti (Politecnico di Torino) DTSTART:20231214T160000Z DTEND:20231214T163000Z DTSTAMP:20260421T123831Z UID:MoRN/85 DESCRIPTION:Title: St ochastic reaction networks in stochastic environment\nby Daniele Cappe lletti (Politecnico di Torino) as part of Seminar on the Mathematics of Re action Networks\n\n\nAbstract\nIn the typical definition of stochastic rea ction networks\, the rate functions only depend on the current state and d o not change over time. However this is not true in many biological system s\, where the rate functions change over time. In this study we considered the more general case of the rates depending on both the current configur ation and another stochastic process\, which we call "environment" and is not directly affected by the system of interest. We study the positive rec urrence of this more general model under the assumption of "monomoleculari ty"\, and under certain conditions characterize the stationary distributio n (when it exists) as a mixture of Poisson distributions\, which is unique ly identified as the law of a fixed point of a stochastic recurrence equat ion. This recursion can be utilized for numerical computation of moments a nd other distributional features.\n LOCATION:https://researchseminars.org/talk/MoRN/85/ END:VEVENT END:VCALENDAR