Home return to my main page Publications a relatively up to date list of my papers Teaching I teach at UBC People mathematicians, to be precise Math some mathematically oriented sites C.V. more about me Links some other links (surprise!) David my partner Contact me there are several ways to do this

See descriptions of some Selected works. Versions of unlinked papers are available on request.

• with David Wilson, Diameter constrained minimal spanning trees. ~8 pages, in preparation.
• with Ander Holroyd and DanRomik, The random transposition walk. ~14 pages, in preparation.
• with David Aldous and Nathanael Berestycki, Sequential minimal spanning trees. ~13 pages, in preparation.
• with Nathanael Berestycki, Alan Hammond, and Vlada Limic, Global divergence of spatial coalescents. ~44 pages, in preparation.
• with Gidi Amir, Gady Kozma, and Itai Benjamini, 1 dimensional DLA. ~40 pages, in preparation.
• with Joel Friedman and Shlomo Hoory, The non-backtracking spectrum of the universal cover of a graph. 30 pages, submitted.
• with Jesse Goodman, Frank den Hollander and Gordon Slade, Invasion percolation on regular trees. Ann. Probab., 2007. 40 pages, to appear.
• with Yuval Peres and David Wilson, Card shuffling and diophantine approximation. Ann. Appl. Probab., 2007. 15 pages, to appear.
• with Ander E. Holroyd, Dan Romik and Balint Virag, Random sorting networks. Adv. in Math., 215(2):839--868, 2007.
• Scaling of Percolation on Infinite Planar Maps, I.
  arXiv:math.PR/0501006
• With Itai Benjamini, Noam Berger, Yuval Peres, Transience of Percolation Clusters on Wedges.
  arXiv:math.PR/0206130, Electron. J. Probab., 11:no. 25, 655--669 (electronic), 2006.
• The Stationary Measure of a 2-type Totally Asymmetric Exclusion Process.
  arXiv:math.PR/0501005 J. Combin. Theory Ser. A, 113(4):625--635, 2006.
• with Ander E. Holroyd and James B. Martin, The jammed phase of the Biham-Middleton-Levine traffic model. Electron. Comm. Probab., 10:167--178, 2005.
• Random infinite permutations and the cyclic time random walk. In Discrete random walks (Paris, 2003), Discrete Math. Theor. Comput. Sci. Proc., AC, pages 9--16 (electronic). Assoc. Discrete Math. Theor. Comput. Sci., Nancy, 2003.
• with I. Benjamini, E. Ofek, and U. Wieder, Routing Complexity on Faulty Networks.
  arXiv:math.PR/0407185 In PODC, pages 209--217, 2005. (to appear, Rand. Struct. Algorithms.
• With Itai Benjamini, A Phase Transition for the Metric Distortion of Percolation on the Hypercube.
  arXiv:math.PR/0306355 Combinatorica, to appear.
• With Itai Benjamini, Bálint Virág,
  Random walks that avoid their past convex hull.
  arXiv:math.PR/0209146, Elec. Comm. in Prob., 8 (2003).
• Growth and Percolation on the Uniform Infinite Planar Triangulation.
  Geom. and Func. Anal.
  arXiv:math.PR/0208123
• With Oded Schramm, Uniform Infinite Planar Triangulations.
  Comm. in Math. Phys.
  arXiv:math.PR/0207153
• With Itai Benjamini, Yuval Peres.
  A Large Wiener Sausage from Crumbs.
  Elec. Comm. in Prob., 5 (2000)