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Department of Applied Mathematics and Theoretical Physics

  • 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.

This webpage is not kept up to date. Please visit my webpage here

Publications

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)
Beyond expectations: Residual Dynamic Mode Decomposition and Variance for Stochastic Dynamical Systems.
MJ Colbrook, Q Li, RV Raut, A Townsend
– CoRR
(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)
The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems
MJ Colbrook
– CoRR
(2023)
61,
1585
Avoiding discretization issues for nonlinear eigenvalue problems
MJ Colbrook, A Townsend
(2023)
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