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  2. Subpopulations and stability in microbial communities

    www.damtp.cam.ac.uk/user/gold/pdfs/subpopulations.pdf
    12 May 2020: 1), determined by the requirement that, at equilibrium,population sizes, births, and competition be equal [Fig. ... The averagedistance between eigenvalues is δ = O(1). but heuristics suffice here: Denoting by μ0 < 0 the mean ofthe distribution of
  3. On the infinite-dimensional QR algorithm Matthew J. Colbrook*† and ...

    www.damtp.cam.ac.uk/research/afha/anders/InfQR_COLBROOK.pdf
    6 Dec 2020: In other words, one can introduce zeros in the column below the diagonal entry. ... many non-zero entries in each column then we can replace WOT convergence by SOT convergence.
  4. COMPUTING SPECTRA - ON THE SOLVABILITY COMPLEXITY INDEX HIERARCHYAND…

    www.damtp.cam.ac.uk/user/mjc249/pdfs/SolvabilityMJC.pdf
    15 Jun 2020: COMPUTING SPECTRA - ON THE SOLVABILITY COMPLEXITY INDEX HIERARCHYAND TOWERS OF ALGORITHMS. J. BEN-ARTZI, M. J. COLBROOK, A. C. HANSEN, O. NEVANLINNA, AND M. SEIDEL. 1. INTRODUCTION. This paper resolves the long-standing computational spectral problem
  5. 3. The Renormalisation Group We’ve built up the technology ...

    www.damtp.cam.ac.uk/user/tong/sft/three.pdf
    22 Jul 2020: requirement that the Fourier modes k vanish for suitably high momenta.
  6. Kernel density estimation with linked boundary conditions

    www.damtp.cam.ac.uk/user/mjc249/pdfs/LinkedBCDiffusionMJC.pdf
    16 Jul 2020: Often one is interested in the asymptotic approximation to the MISE, denoted AMISE, underthe requirements that 𝑡 = 𝑡𝑛 0 and 𝑛𝑡𝑛 , which ensure consistency of the estimator.

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