12 citations · 12 across the 14 of their papers we have counts for
3 papers · 2 filters
Measure-free Koopman-von Neumann dynamics and noncommutative Geometry
Dimitrios Giannakis, Michael Montgomery
The Koopman-von Neumann formulation of classical statistical dynamics maps the isometric evolution of probability densities in under the Liouville equation to a unitary evolu…
Data-driven methods for computation of optimal linear response in high-dimensional dynamical systems
Gary Froyland, Dimitrios Giannakis, Nicholas Peters
We develop a data-driven framework for estimating optimal linear response of nonlinear dynamical systems. Our approach is based on kernel-smoothed approximations of the transfer/Ko…
Koopman and transfer operator techniques from the perspective of quantum theory
Dimitrios Giannakis, Michael Montgomery
The study of mathematical connections between operator-theoretic formulations of classical dynamics and quantum mechanics began at least as early as the 1930s in work of Koopman an…