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Faculty of Mathematics

 

  • 2020 - present: Junior Research Fellow, Trinity College, University of Cambridge.
  • 2016 - 2020: PhD student, DAMTP, CCA, University of Cambridge. 
  • 2015 - 2016: M.Math. (Part III), University of Cambridge.
  • 2012 - 2015: B.A. Maths, University of Cambridge.

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Publications

On the convergence of Hermitian Dynamic Mode Decomposition
N Boullé, MJ Colbrook
– Physica D: Nonlinear Phenomena
(2024)
472,
134405
Another look at residual dynamic mode decomposition in the regime of fewer snapshots than dictionary size
MJ Colbrook
– Physica D Nonlinear Phenomena
(2024)
469,
134341
Optimal Algorithms for Quantifying Spectral Size with Applications to Quasicrystals
MJ Colbrook, M Embree, J Fillman
(2024)
Limits and Powers of Koopman Learning
MJ Colbrook, I Mezić, A Stepanenko
(2024)
Rigged Dynamic Mode Decomposition: Data-Driven Generalized Eigenfunction Decompositions for Koopman Operators
MJ Colbrook, C Drysdale, A Horning
(2024)
Another look at Residual Dynamic Mode Decomposition in the regime of fewer Snapshots than Dictionary Size.
MJ Colbrook
(2024)
On the Convergence of Hermitian Dynamic Mode Decomposition
N Boullé, MJ Colbrook
(2024)
Beyond expectations: residual dynamic mode decomposition and variance for stochastic dynamical systems
MJ Colbrook, Q Li, RV Raut, A Townsend
– Nonlinear Dynamics
(2023)
112,
2037
The Multiverse of Dynamic Mode Decomposition Algorithms
MJ Colbrook
(2023)
Beyond expectations: Residual Dynamic Mode Decomposition and Variance for Stochastic Dynamical Systems
MJ Colbrook, Q Li, RV Raut, A Townsend
(2023)
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