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Subpopulations and stability in microbial communities
www.damtp.cam.ac.uk/user/gold/pdfs/subpopulations.pdf12 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 -
On the infinite-dimensional QR algorithm Matthew J. Colbrook*† and ...
www.damtp.cam.ac.uk/research/afha/anders/InfQR_COLBROOK.pdf6 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. -
8. Quantum Field Theory on the Plane In this ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/83d.pdf8 Nov 2020: and this is where the quantisation requirement now comes from. In fact, we have seen. ... Yang-Mills. On a spacetime manifold S3 (or on R3 with the requirement that gauge. -
COMPUTING SPECTRA - ON THE SOLVABILITY COMPLEXITY INDEX HIERARCHYAND…
www.damtp.cam.ac.uk/user/mjc249/pdfs/SolvabilityMJC.pdf15 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 -
2. Yang-Mills Theory Pure electromagnetism is a free theory ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/2ym.pdf8 Nov 2020: go down this path, we must solve the = 0 Schrödinger equation with the requirement. ... to worry about; instead, it’s simply the requirement that the wavefunction is single. -
3. The Renormalisation Group We’ve built up the technology ...
www.damtp.cam.ac.uk/user/tong/sft/three.pdf22 Jul 2020: requirement that the Fourier modes k vanish for suitably high momenta. -
Kernel density estimation with linked boundary conditions
www.damtp.cam.ac.uk/user/mjc249/pdfs/LinkedBCDiffusionMJC.pdf16 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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