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  2. Collisions of Random Walks Martin T. Barlow∗ Yuval Peres† ...

    www.statslab.cam.ac.uk/~ps422/collisions-rws.pdf
    20 Apr 2012: For background on the critical Galton Watson tree conditioned to survive, see [16]. ... SeeCorollary 3.5 for a class of critical Galton-Watson trees with infinite variance.
  3. Diffusion processes on branching Brownian motion - CMIH - The Centre…

    https://archive.cmih.maths.cam.ac.uk/events-archive/diffusion-processes-on-branching-brownian-motion/
    Branching Brownian motion (BBM) is a classical process in probability, describing a population of particles performing independent Brownian motion and branching according to a Galton Watson process.
  4. DIAMETER AND STATIONARY DISTRIBUTION OF RANDOM r-OUT DIGRAPHS LOUIGI…

    https://api.newton.ac.uk/website/v0/events/preprints/NI15029
    If ξ is Po(r) distributed we call T ξ a Poisson(r) Galton-Watson tree. ... Lemma 6.4 ([29], Lemma 2.1). Let T be a Poisson(r) Galton-Watson tree.
  5. Scaling limit of a branching process in a varying environment - CMIH…

    https://archive.cmih.maths.cam.ac.uk/events-archive/scaling-limit-of-a-branching-process-in-a-varying-environment/
    A branching process in varying environment is a Galton-Watson tree whose offspring distribution can change at each generation. ... to the Brownian Continuum Random Tree, as in the standard Galton-Watson setting.
  6. MATHEMATICAL TRIPOS Part IA Friday, 1 June, 2018 1:30 ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2018/paperia_2_2018.pdf
    17 Jun 2019: Part IA, Paper 2 [TURN OVER. 8. 11F Probability. (a) Consider a GaltonWatson process (Xn). ... In the case of a GaltonWatson process with. P(X1 = 1) = 1/4, P(X1 = 3) = 3/4,.
  7. Intégration et ProbabilitésCours de Adrien Kassel Notes de Alexis ...

    https://www.dpmms.cam.ac.uk/~aptm3/docs/lecture-notes/L3-Integration-Probabilites.pdf
    18 Dec 2018: 254.7 Équation de la chaleur. 26. 5 Processus de branchement 265.1 Arbres de Galton-Watson. ... 285.4 Temps d’arrêt et population totale d’un arbre de Galton-Watson. 29.
  8. notes.dvi

    www.statslab.cam.ac.uk/~grg/papers/USrednotes.pdf
    15 Aug 2012: PERCOLATION ANDDISORDERED SYSTEMSGeorey GRIMMETT. 2PREFACEThis course aims to be a (nearly) self-contained account of part of the mathematicaltheory of percolation and related topics. The rst nine chapters summarise rigorousresults in percolation
  9. The Structure of Extreme Level Sets in Branching Brownian Motion -…

    https://www.ccimi.maths.cam.ac.uk/events-archive/the-structure-of-extreme-level-sets-in-branching-brownian-motion/
    Branching Brownian motion (BBM) is a classical process in probability, describing a population of particles performing independent Brownian motion and branching according to a Galton Watson process.
  10. MATHEMATICAL TRIPOS Part III Monday, 11 June, 2012 9:00 ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2012/paper_9.pdf
    30 Aug 2019: λeλ. 4. (i) Let T(n,p) be the GaltonWatson branching process with offspring distribution Bi(n, p).Show that, for p = (1 ε)/n, with ε > 0 small, the ... survival probability ρ = ρ(n,p) of thebinomial GaltonWatson branching process Tn,p
  11. Inhomogeneous Financial Networks and Contagious Links∗ Hamed Amini†…

    https://api.newton.ac.uk/website/v0/events/preprints/NI14089
    sr}. Given i [r] let Xi(resp. Xi ) denote the Galton-Watson process starting at a particle of type si such that thenumber of children of type sk S of a ... β̂f). Remark 16 (Branching process approximation). Consider the multi-type Galton-Watson.

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