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