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  2. Grants/Awards

    https://www.dpmms.cam.ac.uk/~ik355/grants.html
    29 Jan 2024: Total amount awarded: Euro 1,800,000. AUEB Grants. Athens. University. of Economics & Business "Basic Research" (PEVE) grant.
  3. ANALYSIS I EXAMPLES 1 C. M. Warnick Lent 2024 ...

    https://www.dpmms.cam.ac.uk/study/IA/AnalysisI/2023-2024/Analysis%20Sheet%201.pdf
    24 Jan 2024: Show also that. n=1(1)n1andiverges. [This shows that, in the alternating series test, it is essential that the moduliof the terms decrease as n increases.]. ... sequence. Prove that. j=1 ajbj converges. Deduce the alternating series test. Does the series.
  4. Random Thoughts on Machines and Computability Thomas Forster January…

    https://www.dpmms.cam.ac.uk/~tef10/cam_only/blog.pdf
    29 Jan 2024: Random Thoughts on Machines and. Computability. Thomas Forster. January 29, 2024. Contents. 1 Functions in intension and in extension 41.1. and Why I was a traumatised Child. 41.2 Functions in intension and in extension, and Slide Rules. 5. 2
  5. Recent papers and preprints

    https://www.dpmms.cam.ac.uk/~ik355/pubs.html
    17 May 2024: arXiv]. A. Theocharous, G.G. Gregoriou, P. Sapountzis, and I. Kontoyiannis. "Temporally causal discovery tests for discrete time series and neural spike trains." IEEE Transactions on Signal Processing, 72, pp. ... Berrett, I. Kontoyiannis and R.J.
  6. PRINCIPLES OF STATISTICS – EXAMPLES 2/4 Part II, Michaelmas ...

    https://www.dpmms.cam.ac.uk/study/II/PrinciplesOfStatistics/2023-2024/examples2-prob.pdf
    2 Oct 2023: From this limiting result: (i) derive a test for the hypothesis H0 : θ = θ0 vs. ... For all these models, derive explicit expressions for the likelihood ratio test statistic ofa simple hypothesis test of H0 : θ = θ0, θ0 Θ, vs.
  7. Riemann SurfacesExample Sheet 1 Michaelmas 2023 Please send any ...

    https://www.dpmms.cam.ac.uk/study/II/Riemann/2023-2024/RS1M23.pdf
    12 Oct 2023: Recall uniform convergence, the M-test etc?]. 3. Show that the power series f(z)=n>1 1n(n1) zn defines an analytic function onthe unit disc D and give a
  8. MATHEMATICAL TRIPOS PART II (2023–2024)CODING AND CRYPTOGRAPHY…

    https://www.dpmms.cam.ac.uk/study/II/Coding/2023-2024/CC1-20.pdf
    25 Jan 2024: Let N(p1,. ,pm)denote the minimum expected number of such tests needed to locate the infection.
  9. 17 May 2024: Samworth. “Optimal rates for independence testing viaU-statistic permutation tests.” Annals of Statistics, 49, no. ... C54. “Causality and directed information estimation as a hypothesis test,” with M.

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