• Martin Capacity for Markov Chains, with Yuval Peres and Robin Pemantle
  • Conformal invariance of Voronoi percolation, with Oded Schramm
  • Percolation beyond Z^d, with O. S.
  • Every graph with a positive Cheeger constant contains a tree with a positive Cheeger constant, with O. S.
  • On the support of harmonic measure for the random walk
  • Distingushing sceneries by observing the scenery along a random walk path, with Harry Kesten
  • Unpredictable Paths and Percolation, with Robin Pemantle and Yuval Peres
  • Exceptional Planes of Percolation, with O. S.
  • Expanders are not Hyperbolic
  • Cut sets and normed cohomology with applications to percolation, with Eric Babson
  • Group invariant percolation on graphs, with Russell Lyons Yuval Peres and Oded Schramm
  • Critical percolation on any nonamenable group has no infinite clusters, with Russell Lyons Yuval Peres and Oded Schramm
  • Uniform spanning forests, with Russell Lyons Yuval Peres and Oded Schramm
  • Percolation perturbation in potential theory and random walks, with Russell Lyons and Oded Schramm
  • Large scale degrees and the number of spanning clusters for the uniform spanning tree
  • Volume, Cheeger and Gromov
  • On random graph homomorphisms into Z, with Olle Haggstrom and Elchanan Mossel
  • Noise sensitivity of Boolean functions and applications to percolation, with Gil Kalai and Oded Schramm
  • Upper bounds on the height difference of the Gaussian random field and the range of random graph homomorphism into Z, with Gideon Schechtman
  • On the effect of adding epsilon-Bernoulli percolation to everywhere percolating subgraphs of the lattice, with Olle Haggstrom and Oded Schramm
  • Percolation in the hyperbolic plane, with Oded Schramm
  • A large Wiener sausage from crumbs, with Omer Angel and Yuval Peres
  • On the mixing time of simaple random walk on the super critical percolation cluster, with Elchanan Mossel
  • Unbaiased finite planar graphs are asymptotically recurrent , with Oded Schramm
  • The diamater of long range percolation clusters on finite cycles with Noam Berger
  • Which properties of a random sequence are daynmically sensitive? with Olle Haggstrom, Yuval Peres and Jeff Steif

    • For more recent papers see arXiv.

    little things

  • Nash-Williams and Heat Kernel Lower Bounds, Probabilistically
  • Survival of the weak in hyperbolic spaces, a remark on competition and geometry