24 citations · 31 across the 3 of their papers we have counts for
6 papers · 1 filter
Galerkin Approximation of Dynamical Quantities using Trajectory Data
Erik H. Thiede, Dimitrios Giannakis, Aaron R. Dinner +1
Understanding chemical mechanisms requires estimating dynamical statistics such as expected hitting times, reaction rates, and committors. Here, we present a general framework for…
Reproducing kernel Hilbert space compactification of unitary evolution groups
Dimitrios Giannakis, Suddhasattwa Das, Joanna Slawinska
A framework for coherent pattern extraction and prediction of observables of measure-preserving, ergodic dynamical systems with both atomic and continuous spectral components is de…
The Antarctic circumpolar wave and its seasonality: Intrinsic traveling modes and ENSO teleconnections
Xinyang Wang, Dimitrios Giannakis, Joanna Slawinska
Interannual variability in the Southern Ocean is investigated via nonlinear Laplacian spectral analysis (NLSA), an objective eigendecomposition technique for nonlinear dynamical sy…
Vector-Valued Spectral Analysis of Space-Time Data
Dimitrios Giannakis, Joanna Slawinska, Abbas Ourmazd +1
Identifying coherent spatiotemporal patterns generated by complex dynamical systems is a central problem in many science and engineering disciplines. Here, we combine ideas from th…
Koopman analysis of the long-term evolution in a turbulent convection cell
Dimitrios Giannakis, Anastasiya Kolchinskaya, Dmitry Krasnov +1
We analyse the long-time evolution of the three-dimensional flow in a closed cubic turbulent Rayleigh-Bénard convection cell via a Koopman eigenfunction analysis. A data-driven bas…
Spectral exterior calculus
Tyrus Berry, Dimitrios Giannakis
A spectral approach to building the exterior calculus in manifold learning problems is developed. The spectral approach is shown to converge to the true exterior calculus in the li…