Selected Works of Oded Schramm

Volume 1.- Part 1: Geometry.- Commentary: Oded Schramm: From Circle Packing to SLE, by Steffen Rohde. To appear in Ann. Probab. Reprinted with permission of Institute of Mathematical Statistics.- O. Schramm. Illuminating sets of constant width. Mathematika Vol. 35 No. 2, 180--189 (1988). Reprinted with permission of Cambridge University Press.- O. Schramm. On the volume of sets having constant width. Israel J. Math. Vol. 63 No. 2, 178--182 (1988). Reprinted with permission of Hebrew University Magnes Press.- O. Schramm. Rigidity of infinite (circle) packings. J. Amer. Math. Soc. Vol. 4 No. 1, 127--149 (1991). Reprinted with permission of American Mathematical Society.- O. Schramm. How to cage an egg. Invent. Math. Vol. 107 No. 3, 543--560 (1992). Reprinted with permission of Springer Science+Business Media.- Zheng-Xu He and O. Schramm. Fixed points, Koebe uniformization and circle packings. Ann. of Math. (2) Vol. 137 No. 2, 369--406 (1993). Reprinted with permission of Princeton University and the Institute for Advanced Study.- Zheng-Xu He and O. Schramm. Hyperbolic and parabolic packings. Discrete Comput. Geom. Vol. 14 No. 2, 123--149 (1995). Reprinted with permission of Springer Science+Business Media.- O. Schramm. Circle patterns with the combinatorics of the square grid. Duke Math. J. Vol. 86 No. 2, 347--389 (1997). Reprinted with permission of Duke University Press.- Zheng-Xu He and O. Schramm. The C-convergence of hexagonal disk packings to the Riemann map. Acta Math. Vol. 180 No. 2, 219--245 (1998). Reprinted with permission of Springer Science+Business Media.- M. Bonk and O. Schramm. Embeddings of Gromov hyperbolic spaces. Geom. Funct. Anal. Vol. 10 No. 2, 266--306 (2000). Reprinted with permission of Springer Science+Business Media.- Part 2: Noise Sensitivity.- Commentary: Oded Schramms Contributions to Noise Sensitivity, by Christophe Garban. To appear in Ann.Probab. Reprinted with permission of Institute of Mathematical Studies.- I. Benjamini, G. Kalai, and O. Schramm. Noise sensitivity of boolean functions and applications to percolation. Inst. Hautes tudes Sci. Publ. Math. No. 90, 5--43 (1999). Reprinted with permission of Institut Des Hautes tudes Scientifiques.- O. Schramm and J. E. Steif. Quantitative noise sensitivity and exceptional times for percolation. Annals of Mathematics, Pages 619-672 from Volume 171 (2010), Issue 2. Reprinted with permission of Princeton University and the Institute for Advanced Study.- C. Garban, G. Pete, and O. Schramm. The Fourier Spectrum of Critical Percolation. Acta Math. 205 (2010), 19-104. Reprinted with permission of Springer Science+Business Media.- Part 3: Random Walks and Graph Limits.- I. Benjamini and O. Schramm. Recurrence of Distributional Limits of Finite Planar Graphs. Electron. J. Probab. Vol. 6, no. 23, 13 pp. (electronic) (2001). Reprinted with permission of Institute of Mathematical Statistics.- O. Angel and O. Schramm. Uniform infinite planar triangulations. Comm. Math. Phys. Vol. 241 No. 2-3, 191--213 (2003). Reprinted with permission of Springer Science+Business Media.- O. Schramm. Compositions of random transpositions. Israel J. Math. Vol. 147, 221--243 (2005). Reprinted with permission of Hebrew University Magnes Press.- Y. Peres, O.Schramm, S.Sheffield, and D.B. Wilson. Tug-of-war and the infinity Laplacian. Journal of the American Mathematical Society 22(1):167--210, (2009). Reprinted with permission of Yuval Peres.- O. Schramm. Hyperfinite graph limits. Electron. Res. Announc. Math. Sci. Vol. 15, 17--23 (2008). Reprinted with permission of the American Institute of Mathematical Sciences.- Volume 2.- Part 4: Percolation.- Commentary: Percolation beyond Z^d: The Contributions of Oded Schramm, by Olle Hggstrm. To appear in Ann. Probab. Reprinted with permission of Institute ofMathematical Statistics.- I. Benjamini and O. Schramm. Percolation beyond Zd, many questions and a few answers. Electron. Comm. Probab. Vol. 1, no.\ 8, 71--82 (electronic)