Publications & Preprints
Preprints
[1] Validated enclosure of renormalization fixed points via Chebyshev series and the DFT, with Maxime Breden and J.D Mireles-James (accepted to Foundations of Computational Mathematics MS3434, 11/25, co-principal investigator)
Recent Publications
New approaches to discovering epigenetic rules of homeostasis in diverse mammal species, Diane Genereux, Kristin Crouse, Bradley Frishman, Allyson Hindle, Elinor Karlsson, Carla Madelaire, Lucas Moreira and Valery Forbes (BMC Genomics, April 2026, primary author)
Finite element approximation of invariant manifolds by the parameterization method, with J.D Mireles-James and Necibe Tuncer (Partial Differential Equations and Applications, Vol 3, December 2022, primary author)
Computer Assisted Proof of Drift Orbits Along Normally Hyperbolic Manifolds, with Maciej J. Capinski, Jean-Pierre Marco, J.D. Mireles James (Communications in Nonlinear Science and Numerical Simulations, Vol 106, March 2022, 105970, co-principal investigator)
Aggregated impulses: Towards explanatory models for self-similar alpha stable traffic, with Chad Bollmann and Joshua Clymer (2019 13th International Conference on Signal Processing and Communication Systems (ICSPCS) IEEE, 2019, primary author)
Towards an explanatory model for network traffic, with Chad Bollmann and Joshua Clymer (2019 IEEE 40th Sarnoff Symposium. IEEE, 2019, primary author)
High-order parameterization of stable/unstable manifolds for long periodic orbits of maps , with J.D Mireles-James (SIAM Journal on Applied Dynamical Systems, 2017, Vol. 16, No. 3 : pp. 1748-1795, primary author)
