BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Geometry of nonequilibrium interacting reaction networks - Vivien 
 Lecomte\, Université Grenoble–Alpes
DTSTART:20230131T130000Z
DTEND:20230131T140000Z
UID:TALK193456@talks.cam.ac.uk
CONTACT:Camille Scalliet
DESCRIPTION:Building on Kirchhoff’s treatment of electrical circuits\, H
 ill and Schnakenberg – among others – proposed a celebrated theory for
  the thermodynamics of Markov processes and linear biochemical networks th
 at exploited tools from graph theory to build fundamental nonequilibrium o
 bservables. However\, such simple geometrical interpretation does not carr
 y through for arbitrary chemical reaction networks\, because reactions can
  be many-to-many and are thus represented by a hypergraph\, rather than a 
 graph. We propose a generalization of the geometric intuitions behind the 
 Hill–Schnakenberg approach to arbitrary reaction networks. In particular
 \, we give simple procedures to build bases of cycles (encoding stationary
  nonequilibrium behavior) and cocycles (encoding relaxation)\, that we int
 erpret in terms of circulations and gradients. Such tools allow one to pro
 perly project nonequilibrium observables onto the relevant subspaces. We d
 evelop the theory for non-equilibrium reaction networks endowed with mass-
 action kinetics and enrich the description with insights from the correspo
 nding stochastic models at the individual particle level.\n\nRef:  Sara Da
 l Cengio\, Vivien Lecomte\, Matteo Polettini\, arXiv:2208.01290 \n\nFor th
 ose unable to join in person: https://maths-cam-ac-uk.zoom.us/j/9801667566
 9
LOCATION:Center for Mathematical Sciences\, Lecture room MR4
END:VEVENT
END:VCALENDAR