Selected Works of Oded Schramm

Front Matter....Pages i-xxi
Front Matter....Pages 1-1
Oded Schramm: From Circle Packing to SLE....Pages 3-45
Illuminating Sets of Constant Width....Pages 47-56
On the Volume of Sets Having Constant Width † ....Pages 57-61
Rigidity of Infinite (Circle) Packings....Pages 63-85
How to cage an egg....Pages 87-104
Fixed points, Koebe uniformization and circle packings....Pages 105-142
Hyperbolic and Parabolic Packings * ....Pages 143-169
Circle Patterns with the Combinatorics of the Square Grid....Pages 171-171
The C ∞ -convergence of hexagonal disk packings to the Riemann map....Pages 215-241
Embeddings of Gromov Hyperbolic Spaces....Pages 243-284
Front Matter....Pages 302-302
Oded Schramm’s contributions to Noise Sensitivity....Pages 287-350
Noise Sensitivity of Boolean Functions and Applications to Percolation....Pages 351-389
Quantitative noise sensitivity and exceptional times for percolation....Pages 391-444
The Fourier spectrum of critical percolation....Pages 445-530
Front Matter....Pages 531-531
Recurrence of Distributional Limits of Finite Planar Graphs....Pages 533-545
Uniform Infinite Planar Triangulations....Pages 547-569
Compositions of Random Transpositions....Pages 571-593
Tug-of-War and the Infinity Laplacian....Pages 595-638
Hyperfinite Graph Limits....Pages 639-645
Front Matter....Pages 647-647
Percolation beyond ℤ d : the contributions of Oded Schramm*....Pages 649-678
Front Matter....Pages 647-647
Percolation Beyond $$\\mathbb{Z}^d $$ , Many Questions and a Few Answers....Pages 679-690
Critical Percolation on any Nonamenable Group has no Infinite Clusters....Pages 691-700
Indistinguishability of Percolation Clusters....Pages 701-728
Percolation in the Hyperbolic Plane....Pages 729-749
Geometry of the uniform spanning forest: Transitions in dimensions 4, 8, 12, …....Pages 751-777
First Passage Percolation Has Sublinear Distance Variance....Pages 779-787
Front Matter....Pages 789-789
Scaling Limits of Loop-Erased Random Walks and Uniform Spanning Trees....Pages 791-858
Values of Brownian intersection exponents, I: Half-plane exponents....Pages 859-895
Values of Brownian intersection exponents, II: Plane exponents....Pages 897-930
Conformal Invariance Of Planar Loop-Erased Random Walks and Uniform Spanning Trees....Pages 931-987
Basic properties of SLE....Pages 989-1030
Contour lines of the two-dimensional discrete Gaussian free field....Pages 1031-1147
Conformal Radii for Conformal Loop Ensembles....Pages 1149-1159
Conformally invariant scaling limits: an overview and a collection of problems....Pages 1161-1191
On the Scaling Limits of Planar Percolation....Pages 1193-1247