Nonlinear Laplacian spectral analysis for time series with intermittency and low-frequency variability

Linear response theory for statistical ensembles in complex systems with time-periodic forcing

(2013) Andrew Majda et al.   Communications in Mathematical Sciences

Generalized Theorems for Nonlinear State Space Reconstruction

(2011) Ethan R. Deyle et al.   PLoS One

Two Limits of Initial-Value Decadal Predictability in a CGCM

(2010) Grant Branstator et al.   JOURNAL OF CLIMATE

On Simultaneous Data-Based Dimension Reduction and Hidden Phase Identification

(2008) Illia Horenko   JOURNAL OF THE ATMOSPHERIC SCIENCES

Manifold parametrizations by eigenfunctions of the Laplacian and heat kernels

(2008) P. W. Jones et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Towards a theoretical foundation for Laplacian-based manifold methods

(2007) Mikhail Belkin et al.   JOURNAL OF COMPUTER AND SYSTEM SCIENCES