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  2. Statistical Laboratory, 1970

    www.statslab.cam.ac.uk/files/Statistical%20Laboratory%20Photos/1970-1979/pic70.html
    21 Oct 2020: K.McKinnon D.R.Grey B.J.T.Morgan E.M.Wilkinson K.J.Roberts L.F.Meintjes G.A.Kennay G.Kendle A.D.barbour J.O.Evans ... Gordon. A.W.F.Edwards J.L.Teugels S.R.Watson D.M.Titterington M.Elion R.L.Tweedie J.A.Lambert S.Chinn S.M.Leonard W.J.Anderson.
  3. RANDOM PLANAR GEOMETRY, LENT 2020, EXAMPLE SHEET 1 Please ...

    www.statslab.cam.ac.uk/~jpm205/teaching/lent2020/example_sheet1.pdf
    4 Feb 2020: Problem 2. Suppose that τ is a Galton-Watson tree with Geometric(1/2) offspring distribution,viewed as a plane tree. ... Problem 12. Prove that q if is a quadrangulation then it is bipartite.
  4. PUBLICATIONS OF HARRY KESTEN 1950 1960 1970 1980 1990 ...

    www.statslab.cam.ac.uk/~grg/papers/kesten-bib.pdf
    18 Oct 2021: Kesten and B. P. Stigum. Additional limit theorems for in-decomposable multidimensional Galton–Watson processes. ... A limit theorem for multidimen-sional Galton–Watson processes. Ann. Math. Statist., 37:1211–1223, 1966.
  5. Collisions of Random Walks Martin T. Barlow∗ Yuval Peres† ...

    www.statslab.cam.ac.uk/~ps422/collisions-rws.pdf
    20 Apr 2012: Theorem 1.8. The following random graphs all have the infinite collision property:(a) A critical Galton-Watson tree with finite variance conditioned to survive forever.(b) The incipient infinite cluster ... SeeCorollary 3.5 for a class of critical
  6. Probability J.R. Norris January 22, 2024 1 Contents 1 ...

    www.statslab.cam.ac.uk/~james/Lectures/p.pdf
    22 Jan 2024: A| = 4 3 50!and. P(A) = |A|/|| = 12/(52 51) = 1/221. ... 42. 14 Branching processes. 14.1 Definition. A branching process or Galton–Watson process is a random process (Xn : n 0) with thefollowing structure:.
  7. UNIVERSITY OF CAMBRIDGE Faculty of Mathematics SCHEDULES OF LECTURE…

    www.statslab.cam.ac.uk/~lab85/resources/schedules2324.pdf
    31 Oct 2023: then continue to work on the exam paper while waiting for a response. ... In addition, theexternal examiners each submit a report addressed to the Vice-Chancellor.
  8. 1 May 2024: His 39 years as a Fellow have been exceeded by only few in recent times,including by his colleague Philip Watson (Fellow, 1950–1993), with whomDominic shared the privilege of teaching ... DOMINIC WELSH (1938–2023) 13. outputs a random value f̂(x, ϵ)
  9. Dimension of Fractional Brownian motion with variable drift Yuval ...

    www.statslab.cam.ac.uk/~ps422/dim-graph-image.pdf
    30 Oct 2013: by Taylor and Watson in [15] in order to determine polarsets for the heat equation. ... A. Watson. A Hausdorff measure classification of polar sets for the heatequation.
  10. Liouville quantum gravity and the Brownian map

    www.statslab.cam.ac.uk/~jpm205/slides/lqg_tbm_equivalence_oxford_2015.pdf
    24 Oct 2015: Random planar mapsI A planar map is a finite graph together with an. ... I A quadrangulation corresponds to a metric spacewhen equipped with the graph distance.
  11. NEW FRONTIERS IN RANDOM GEOMETRY (RaG) EP/103372X/1 REPORT 1/7/14 ...

    www.statslab.cam.ac.uk/~grg/rag-reports/report2015.pdf
    28 Jul 2015: Po(λ) Galton-Watson tree. The results extend to graphs with prescribeddegree sequences, where cutoff is shown both for the simple and for thenon-backtracking random walk. ... Berestycki, G. Kozma, Bull. Soc. Math. France. 33. Galton–Watson trees with
  12. Harry Kesten (1931–2019) A personal and scientific tribute Geoffrey…

    www.statslab.cam.ac.uk/~grg/papers/kesten-ams3-small.pdf
    20 Mar 2020: to the discretecase. Branching processes. The branching process (sometimes called the Galton–Watson process) is arguably the most fundamentalstochastic model for population growth. ... Stigum, A limit theorem for multidi-mensional Galton–Watson
  13. Cutoff for Random Walk on Dynamical Erdős-Rényi Graph Perla ...

    www.statslab.cam.ac.uk/~ps422/ER_Annealed.pdf
    21 Nov 2018: We give a precise definition of the coupling that we use in 5. ... graph is good a trivial bound is τ′G < E(C log n).
  14. 2 Jul 2009: Remark 3.2. It is easily seen, using (3.3), that ξ̂ equals the extinctionprobability of a Galton–Watson process with offspring distribution. ... Notethat φS1(µ) = φ′S(µ).) Hence γ̂, the asymptotic relative size of Γn,λn/n;S,equals by (3.4)
  15. Abstract We survey the published work of Harry Kesten ...

    www.statslab.cam.ac.uk/~grg/papers/kesten-ptrf-final.pdf
    13 Nov 2020: One way ofmeasuring this effect is via the radius of An, rad(An) = max{|a| : a An}, and itis believed that rad(An) grows in the manner of n. ... Harry Kesten’s work in probability theory 19. 6 Branching processes. The branching process (or, as Harry
  16. rctree.dvi

    www.statslab.cam.ac.uk/~grg/papers/USrctree.pdf
    15 Aug 2012: We consider a (Galton–Watson) branching process with family-size probabilitygenerating function G satisfying. ... Consider a multi-type (Galton–Watson) branching process with a set I of types;I may be finite or countably infinite.
  17. elec.dvi

    www.statslab.cam.ac.uk/~grg/papers/USelec.pdf
    15 Aug 2012: To describe the limit distribution of Rn when γ(n) γ > 1 we need a(one-type) Bienaymé–Galton–Watson process {Zn}n0 in which the offspring dis-tribution is a ... τ 0k and the conducting edges between them. converges in some distributional sense
  18. UNIVERSITY OF CAMBRIDGE Faculty of Mathematics SCHEDULES OF LECTURE…

    www.statslab.cam.ac.uk/~lab85/resources/schedules1819.pdf
    2 May 2023: In addition, theexternal examiners each submit a report addressed to the Vice-Chancellor. ... Students are sent a combined online questionnaire at the end of each year. •
  19. UNIVERSITY OF CAMBRIDGE Faculty of Mathematics SCHEDULES OF LECTURE…

    www.statslab.cam.ac.uk/~lab85/resources/schedules1920.pdf
    2 May 2023: In addition, theexternal examiners each submit a report addressed to the Vice-Chancellor. ... Students are sent a combined online questionnaire at the end of each year. •
  20. UNIVERSITY OF CAMBRIDGE Faculty of Mathematics SCHEDULES OF LECTURE…

    www.statslab.cam.ac.uk/~lab85/resources/schedules2021.pdf
    2 May 2023: In addition, theexternal examiners each submit a report addressed to the Vice-Chancellor. ... Students are sent a combined online questionnaire at the end of each year. •
  21. UNIVERSITY OF CAMBRIDGE Faculty of Mathematics SCHEDULES OF LECTURE…

    www.statslab.cam.ac.uk/~lab85/resources/schedules2122.pdf
    2 May 2023: In addition, theexternal examiners each submit a report addressed to the Vice-Chancellor. ... Students are sent a combined online questionnaire at the end of each year. •

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