Publications & Preprints

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Preprints

[1] Validated enclosure of renormalization fixed points via Chebyshev series and the DFT, with Maxime Breden and J.D Mireles-James

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Recent Publications

[5] 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)

[4] 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)

[3] 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)

[2] Towards an explanatory model for network traffic, with Chad Bollmann and Joshua Clymer (2019 IEEE 40th Sarnoff Symposium. IEEE, 2019)

[1] 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)