12 citations · 12 across the 14 of their papers we have counts for
7 papers · 1 filter
Convergence of spectral smoothings from compact quantum group actions
Trevor Camper, Dimitrios Giannakis, Gage Hoefer
In this note, we study complete and quantum Gromov-Hausdorff convergence of operator systems obtained using smoothings of C*-algebras, where our smoothings arise from the action of…
-extreme maps and -homomorphisms from to finite von Neumann algebras
Dimitrios Giannakis, Michael Montgomery, Travis Russell
Given a unital inclusion of -algebras and a unital inclusion into a von Neumann algebra , we invest…
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…
On Algebras of Functions over Infinite Dimensions
Dimitrios Giannakis, Mohammad Javad Latifi Jebelli, Michael Montgomery
We introduce a family of reproducing kernel Hilbert spaces of holomorphic functions defined on an infinite--dimensional domain in a separable Hilbert space, $\mathbb…
Affiliated operators for classical and quantum control
Dimitrios Giannakis, Gage Hoefer
Using techniques from the theory of von Neumann algebras, we propose a framework for addressing questions of controllability of bilinear systems on infinite dimensional Hilbert spa…
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…