699 citations · 751 across the 3 of their papers we have counts for
3 papers
math.DS2016★ 9 cited
Koopman principle eigenfunctions and linearization of diffeomorphisms
Ryan Mohr, Igor Mezić
This paper considers a nonlinear dynamical system on a complex, finite dimensional Banach space which has an asymptotically stable, hyperbolic fixed point. We investigate the conne…
math.SP2014★ 43 cited
Construction of eigenfunctions for scalar-type operators via Laplace averages with connections to the Koopman operator
Ryan Mohr, Igor Mezić
This paper extends Yosida's mean ergodic theorem in order to compute projections onto non-unitary eigenspaces for spectral operators of scalar-type on locally convex linear topolog…
math.DS2012★ 699 cited
Applied Koopmanism
Marko Budišić, Ryan M. Mohr, Igor Mezić
A majority of methods from dynamical systems analysis, especially those in applied settings, rely on Poincaré's geometric picture that focuses on "dynamics of states". While this p…