Recorded 01 September 2022. Sandro Vaienti of the Université de Toulon et du Var presents "Thermodynamic formalism for open random dynamical systems" at IPAM's Reconstructing Network Dynamics from Data: Applications to Neuroscience and Beyond. Abstract: We consider random open dynamical systems. We obtain a first-order perturbation formula in this setting, which allows us to treat various quantities like the escape rate, equilibrium states , limit theorems. Our new machinery is then deployed to create a spectral approach for a quenched extreme value theory that considers random dynamics with general ergodic invertible driving, and random observations. In collaboration with J. Atnip, G/ Froyland and C. Gonzalez-Tokman. Learn more online at: http://www.ipam.ucla.edu/programs/workshops/reconstructing-network-dynamics-from-data-applications-to-neuroscience-and-beyond/?tab=overview