87 citations · 226 across the 14 of their papers we have counts for
5 papers · 1 filter
Boundary proximity of SLE
Oded Schramm, Wang Zhou
This paper examines how close the chordal $\SLE_κ$ curve gets to the real line asymptotically far away from its starting point. In particular, when , it is shown that if…
Poisson Matching
Alexander E. Holroyd, Robin Pemantle, Yuval Peres +1
Suppose that red and blue points occur as independent homogeneous Poisson processes in R^d. We investigate translation-invariant schemes for perfectly matching the red points to th…
Hyperfinite graph limits
Oded Schramm
Gábor Elek introduced the notion of a hyperfinite graph family: a collection of graphs is hypefinite if for every there is some finite such that each graph in the col…
Combinatorically Prescribed Packings and Applications to Conformal and Quasiconformal Maps
Oded Schramm
The Andreev-Thurston Circle Packing Theorem is generalized to packings of convex bodies in planar simply connected domains. This turns out to be a useful tool for constructing conf…
Dynamical sensitivity of the infinite cluster in critical percolation
Yuval Peres, Oded Schramm, Jeffrey E. Steif
In dynamical percolation, the status of every bond is refreshed according to an independent Poisson clock. For graphs which do not percolate at criticality, the dynamical sensitivi…