Christina Goldschmidt: publications


My papers may almost all be found on arXiv or on MathSciNet (subscribers only).

  1. Essential edges in Poisson random hypergraphs, with James Norris, Random Structures and Algorithms 24, 4 (2004) pp.381-396.

  2. Dual random fragmentation and coagulation and an application to the genealogy of Yule processes, with Jean Bertoin, in Mathematics and Computer Science III: Algorithms, Trees, Combinatorics and Probabilities, M. Drmota, P. Flajolet, D. Gardy, B. Gittenberger (Eds.) (2004) pp.295-308.

  3. Critical random hypergraphs: the emergence of a giant set of identifiable vertices, Annals of Probability 33, 4 (2005) pp.1573-1600.

  4. Random recursive trees and the Bolthausen-Sznitman coalescent, with James Martin, Electronic Journal of Probability, 10 (2005), Paper no. 21, pp.718-745. [Oberwolfach report].

  5. Preservation of log-concavity on summation, with Oliver Johnson, ESAIM: Probability and Statistics 10 (2006) pp.206-215.

  6. Coagulation-fragmentation duality, Poisson-Dirichlet distributions and random recursive trees, with Rui Dong and James Martin, Annals of Applied Probability, 16, 4 (2006) pp.1733-1750.

  7. Asymptotics of the allele frequency spectrum associated with the Bolthausen-Sznitman coalescent, with Anne-Laure Basdevant, Electronic Journal of Probability 13 (2008), Paper no. 17, pp.486-512. [Oberwolfach report]

  8. Fragmenting random permutations, with James Martin and Dario Spanò, Electronic Communications in Probability 13 (2008), Paper no. 44, pp.461-474.

  9. Behavior near the extinction time in self-similar fragmentations I: The stable case, with Bénédicte Haas, Annales de l'Institut Henri Poincaré (Probabilités et Statistiques) 46, 2 (2010), pp.338-368. (AIHP prized paper)

  10. Critical random graphs: limiting constructions and distributional properties, with Louigi Addario-Berry and Nicolas Broutin, Electronic Journal of Probability 15 (2010), Paper no. 25, pp.741-775.

  11. Quantum Heisenberg models and their probabilistic representations, with Daniel Ueltschi and Peter Windridge, Entropy and the Quantum II, Contemporary Mathematics 552 (2011), pp.177-224.

  12. The continuum limit of critical random graphs, with Louigi Addario-Berry and Nicolas Broutin, Probability Theory and Related Fields 152, 3-4 (2012), pp.367-406.
    [Erratum: the proof of Lemma 13 given contains an error; see the proof of Theorem 1.1 of Addario-Berry, Devroye and Janson, Sub-Gaussian tail bounds for the width and height of conditioned Galton–Watson trees, Ann. Probab. 41, 2 (2013), pp.1072-1087 for a fix.]

  13. A line-breaking construction of the stable trees, with Bénédicte Haas, Electronic Journal of Probability 20 (2015), Paper no. 16, pp.1-24.

  14. The Brownian continuum random tree as the unique solution to a fixed point equation, with Marie Albenque, Electronic Communications in Probability 20 (2015), Paper no. 61, pp.1-14.

  15. Behavior near the extinction time in self-similar fragmentations II: Finite dislocation measures, with Bénédicte Haas, Annals of Probability 44, 1 (2016), pp.739-805.

  16. A short introduction to random trees, Mongolian Mathematical Journal 20, 1 (2016), pp.53-72.

  17. The scaling limit of the minimum spanning tree of the complete graph, with Louigi Addario-Berry, Nicolas Broutin and Grégory Miermont, Annals of Probability 45, 5 (2017), pp.3075-3144. [Oberwolfach report]

  18. Voronoi tessellations in the CRT and continuum random maps of finite excess, with Louigi Addario-Berry, Omer Angel, Guillaume Chapuy and Éric Fusy, Proceedings of the Twenty-Ninth Annual ACM-SIAM Symposium on Discrete Algorithms (SODA 2018) (2018), pp.933-946.

  19. Scaling limits of random trees and random graphs, to appear in Random Graphs, Phase Transitions, and the Gaussian Free Field: Proceedings of the 2017 PIMS-CRM Summer School in Probability, Martin Barlow and Gordon Slade (eds.)

  20. Inverting the cut-tree transform, with Louigi Addario-Berry and Daphné Dieuleveut, Annales de l'Institut Henri Poincaré (Probabilités et Statistiques), to appear. [arXiv 1606.04825]

  21. Parking on a random tree, with Michał Przykucki, Combinatorics, Probability and Computing, First View online, to appear in print journal. [arXiv 1610.08786]

  22. The spread of fire on a random multigraph, with Eleonora Kreačić, Advances in Applied Probability, to appear. [arXiv 1710.09898]

  23. Stable graphs: distributions and line-breaking construction, with Bénédicte Haas and Delphin Sénizergues. [arXiv 1811.06940]

Mail to goldschm at stats.ox.ac.uk
Last modified: 19th November 2018.