Laing, Frewen, and Kevrekidis. (2007) 2007. “Coarse-Grained Dynamics of an Activity Bump in a Neural Field Model”. Nonlinearity 20 (9): 2127-46. Reference Link
Ahuja, Sunil, Victor Yakhot, and Ioannis Kevrekidis. (2008) 2008. “Computational Coarse Graining of a Randomly Forced One-Dimensional Burgers Equation”. Physics of Fluids 20 (3): 035111. Reference Link
Liu, Ping, Siettos, Gear, and Kevrekidis. 2015. “Equation-Free Model Reduction in Agent-Based Computations: Coarse-Grained Bifurcation and Variable-Free Rare Event Analysis”. Mathematical Modelling of Natural Phenomena 10 (3): 71-90. Reference Link
Sonday, Benjamin, Mikko Haataja, and Ioannis Kevrekidis. (2009) 2009. “Coarse-Graining the Dynamics of a Driven Interface in the Presence of Mobile Impurities: Effective Description via Diffusion Maps”. Physical Review E 80 (3): 031102. Reference Link
Sonday, Benjamin, Amit Singer, and Ioannis Kevrekidis. (2013) 2013. “Noisy Dynamic Simulations in the Presence of Symmetry: Data Alignment and Model Reduction”. Computers & Mathematics With Applications 65 (10): 1535-57. Reference Link
Singer, Amit, Radek Erban, Ioannis Kevrekidis, and Ronald Coifman. (2009) 2009. “Detecting Intrinsic Slow Variables in Stochastic Dynamical Systems by Anisotropic Diffusion Maps”. Proceedings of the National Academy of Sciences of the United States of America 106 (38): 16090-95. Reference Link
Nedialkova, Lilia, Miguel Amat, Ioannis Kevrekidis, and Gerhard Hummer. (2014) 2014. “Diffusion Maps, Clustering and Fuzzy Markov Modeling in Peptide Folding Transitions”. Journal of Chemical Physics 141 (11): 114102. Reference Link
Coifman, Kevrekidis, Lafon, Maggioni, and Nadler. 2008. “DIFFUSION MAPS, REDUCTION COORDINATES, AND LOW DIMENSIONAL REPRESENTATION OF STOCHASTIC SYSTEMS”. Multiscale Modeling & Simulation 7 (2): 842-64. Reference Link
Xue, Yuzhen, Peter Ludovice, Martha Grover, Lilia Nedialkova, Carmeline Dsilva, and Ioannis Kevrekidis. (2013) 2013. “State Reduction in Molecular Simulations”. Computers & Chemical Engineering 51: 102-10. Reference Link
Erban, Radek, Thomas Frewen, Xiao Wang, Timothy Elston, Ronald Coifman, Boaz Nadler, and Ioannis Kevrekidis. (2007) 2007. “Variable-Free Exploration of Stochastic Models: A Gene Regulatory Network Example”. Journal of Chemical Physics 126 (15): 155103. Reference Link