Oded Schramm - Author Profile

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Schramm, Oded (b. 1961 d. 2008)

Author ID:	schramm.oded
Published as:	Schramm, Oded; Schramm, O.
External Links:	MacTutor · MGP · Wikidata · dblp · GND · IdRef
Awards:	Clay Research Award (2002)

Documents Indexed:	100 Publications since 1988, including 1 Book and 2 Additional arXiv Preprints
	1 Further Contribution
Biographic References:	4 Publications
Co-Authors:	36 Co-Authors with 84 Joint Publications
	1,241 Co-Co-Authors

all top 5

Co-Authors

17	single-authored
30	Benjamini, Itai
12	Peres, Yuval
12	Werner, Wendelin
11	Lawler, Gregory Francis
11	Lyons, Russell
8	He, Zheng-Xu
7	Garban, Christophe
7	Sheffield, Scott
6	Pete, Gábor
6	Wilson, David Bruce
2	Häggström, Olle
2	Holroyd, Alexander E.
2	Jonasson, Johan
2	Kalai, Gil
2	Rohde, Steffen
2	Shapira, Asaf
2	Steif, Jeffrey E.
1	Angel, Omer
1	Berestycki, Nathanaël
1	Bonk, Mario
1	Gurel-Gurevich, Ori
1	Hammond, Alan
1	Kesten, Harry
1	Kuperberg, Gregory John
1	Merenkov, Sergei
1	Morris, Ben J.
1	Mörters, Peter
1	Naor, Assaf
1	Peled, Ron
1	Pemantle, Robin
1	Smirnov, Stanislav Konstantinovich
1	Sodin, Sasha
1	Timár, Ádám
1	Tsirelson, Boris
1	Tykesson, Johan Harald
1	Zeitouni, Ofer
1	Zhou, Wang

all top 5

Serials

14	The Annals of Probability
8	Israel Journal of Mathematics
6	Acta Mathematica
5	Journal of the American Mathematical Society
4	Communications in Mathematical Physics
4	Inventiones Mathematicae
4	Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
4	Electronic Communications in Probability
4	Annals of Mathematics. Second Series
3	Probability Theory and Related Fields
3	Geometric and Functional Analysis. GAFA
3	Mathematical Research Letters
3	Electronic Journal of Probability
2	Journal d’Analyse Mathématique
2	Duke Mathematical Journal
2	The New York Journal of Mathematics
1	American Mathematical Monthly
1	Journal of Mathematical Physics
1	Advances in Mathematics
1	American Journal of Mathematics
1	Publications Mathématiques
1	Mathematika
1	Pacific Journal of Mathematics
1	Proceedings of the American Mathematical Society
1	Ergodic Theory and Dynamical Systems
1	Discrete & Computational Geometry
1	Combinatorics, Probability and Computing
1	Journal of the European Mathematical Society (JEMS)
1	Cambridge Series in Statistical and Probabilistic Mathematics
1	ALEA. Latin American Journal of Probability and Mathematical Statistics
1	Groups, Geometry, and Dynamics
1	Electronic Research Announcements in Mathematical Sciences
1	Journal of Topology and Analysis

all top 5

Fields

65	Probability theory and stochastic processes (60-XX)
35	Statistical mechanics, structure of matter (82-XX)
27	Combinatorics (05-XX)
20	Functions of a complex variable (30-XX)
13	Convex and discrete geometry (52-XX)
7	Quantum theory (81-XX)
6	Measure and integration (28-XX)
5	Group theory and generalizations (20-XX)
4	Differential geometry (53-XX)
3	Potential theory (31-XX)
2	Order, lattices, ordered algebraic structures (06-XX)
2	Dynamical systems and ergodic theory (37-XX)
2	Geometry (51-XX)
2	General topology (54-XX)
2	Manifolds and cell complexes (57-XX)
2	Computer science (68-XX)
2	Relativity and gravitational theory (83-XX)
2	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1	General and overarching topics; collections (00-XX)
1	History and biography (01-XX)
1	Mathematical logic and foundations (03-XX)
1	Algebraic geometry (14-XX)
1	Partial differential equations (35-XX)
1	Harmonic analysis on Euclidean spaces (42-XX)
1	Abstract harmonic analysis (43-XX)
1	Functional analysis (46-XX)
1	Operator theory (47-XX)
1	Calculus of variations and optimal control; optimization (49-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

93 Publications have been cited 4,903 times in 2,509 Documents	Cited by ▼	Year ▼
Scaling limits of loop-erased random walks and uniform spanning trees. Zbl 0968.60093 Schramm, Oded	429	2000
Recurrence of distributional limits of finite planar graphs. Zbl 1010.82021 Benjamini, Itai; Schramm, Oded	296	2001
Brownian motion. With an appendix by Oded Schramm and Wendelin Werner. Zbl 1243.60002 Mörters, Peter; Peres, Yuval	276	2010
Basic properties of SLE. Zbl 1081.60069 Rohde, Steffen; Schramm, Oded	249	2005
Tug-of-war and the infinity Laplacian. Zbl 1206.91002 Peres, Yuval; Schramm, Oded; Sheffield, Scott; Wilson, David B.	231	2009
Conformal invariance of planar loop-erased random walks and uniform spanning trees. Zbl 1126.82011 Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin	227	2004
Embeddings of Gromov hyperbolic spaces. Zbl 0972.53021 Bonk, M.; Schramm, O.	160	2000
Conformal restriction: The chordal case. Zbl 1030.60096 Lawler, Gregory; Schramm, Oded; Werner, Wendelin	141	2003
Contour lines of the two-dimensional discrete Gaussian free field. Zbl 1210.60051 Schramm, Oded; Sheffield, Scott	133	2009
Values of Brownian intersection exponents. I: Half-plane exponents. Zbl 1005.60097 Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin	126	2001
Uniform infinite planar triangulations. Zbl 1098.60010 Angel, Omer; Schramm, Oded	119	2003
Values of Brownian intersection exponents. II: Plane exponents. Zbl 0993.60083 Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin	112	2001
Uniform spanning forests. Zbl 1016.60009 Benjamini, Itai; Lyons, Russell; Peres, Yuval; Schramm, Oded	110	2001
Percolation beyond \(\mathbb{Z}^ d\), many questions and a few answers. Zbl 0890.60091 Benjamini, Itai; Schramm, Oded	106	1996
Noise sensitivity of Boolean functions and applications to percolation. Zbl 0986.60002 Benjamini, Itai; Kalai, Gil; Schramm, Oded	99	1999
A contour line of the continuum Gaussian free field. Zbl 1331.60090 Schramm, Oded; Sheffield, Scott	95	2013
Group-invariant percolation on graphs. Zbl 0924.43002 Benjamini, I.; Lyons, R.; Peres, Y.; Schramm, O.	86	1999
On the scaling limit of planar self-avoiding walk. Zbl 1069.60089 Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin	80	2004
One-arm exponent for critical 2D percolation. Zbl 1015.60091 Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin	79	2002
SLE coordinate changes. Zbl 1094.82007 Schramm, Oded; Wilson, David B.	77	2005
Fixed points, Koebe uniformization and circle packings. Zbl 0777.30002 He, Zheng-Xu; Schramm, Oded	75	1993
Values of Brownian intersection exponents. III: Two-sided exponents. Zbl 1006.60075 Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin	61	2002
First passage percolation has sublinear distance variance. Zbl 1087.60070 Benjamini, Itai; Kalai, Gil; Schramm, Oded	61	2003
A percolation formula. Zbl 1008.60100 Schramm, Oded	56	2001
Percolation in the hyperbolic plane. Zbl 1037.82018 Benjamini, Itai; Schramm, Oded	55	2001
Quantitative noise sensitivity and exceptional times for percolation. Zbl 1213.60160 Schramm, Oded; Steif, Jeffrey E.	55	2010
Markov chains in smooth Banach spaces and Gromov-hyperbolic metric spaces. Zbl 1108.46012 Naor, Assaf; Peres, Yuval; Schramm, Oded; Sheffield, Scott	54	2006
KPZ in one dimensional random geometry of multiplicative cascades. Zbl 1170.83006 Benjamini, Itai; Schramm, Oded	53	2009
Harmonic explorer and its convergence to \(\text{SLE}_4\). Zbl 1095.60007 Schramm, Oded; Sheffield, Scott	51	2005
The Fourier spectrum of critical percolation. Zbl 1219.60084 Garban, Christophe; Pete, Gábor; Schramm, Oded	50	2010
Indistinguishability of percolation clusters. Zbl 0960.60013 Lyons, Russell; Schramm, Oded	49	1999
Square tilings with prescribed combinatorics. Zbl 0788.05019 Schramm, Oded	49	1993
Conformally invariant scaling limits: an overview and a collection of problems. Zbl 1131.60088 Schramm, Oded	48	2007
Pivotal, cluster, and interface measures for critical planar percolation. Zbl 1276.60111 Garban, Christophe; Pete, Gábor; Schramm, Oded	48	2013
Hyperbolic and parabolic packings. Zbl 0830.52010 He, Zheng-Xu; Schramm, O.	45	1995
Circle patterns with the combinatorics of the square grid. Zbl 1053.30525 Schramm, Oded	42	1997
On the convergence of circle packings to the Riemann map. Zbl 0868.30010 He, Zheng-Xu; Schramm, Oded	41	1996
Compositions of random transpositions. Zbl 1130.60302 Schramm, Oded	41	2005
Conformal radii for conformal loop ensembles. Zbl 1187.82044 Schramm, Oded; Sheffield, Scott; Wilson, David B.	41	2009
Poisson matching. Zbl 1175.60012 Holroyd, Alexander E.; Pemantle, Robin; Peres, Yuval; Schramm, Oded	40	2009
Harmonic functions on planar and almost planar graphs and manifolds, via circle packings. Zbl 0868.31008 Benjamini, Itai; Schramm, Oded	39	1996
Geometry of the uniform spanning forest: transitions in dimensions 4, 8, 12,…. Zbl 1071.60006 Benjamini, Itai; Kesten, Harry; Peres, Yuval; Schramm, Oded	38	2004
Critical percolation on any nonamenable group has no infinite clusters. Zbl 0961.60015 Benjamini, Itai; Lyons, Russell; Peres, Yuval; Schramm, Oded	37	1999
Illuminating sets of constant width. Zbl 0663.52006 Schramm, Oded	34	1988
On the scaling limits of planar percolation. Zbl 1231.60116 Schramm, Oded; Smirnov, Stanislav; Garban, Christophe	33	2011
How to cage an egg. Zbl 0726.52003 Schramm, Oded	32	1992
Ends in uniform spanning forests. Zbl 1191.60016 Lyons, Russell; Morris, Benjamin J.; Schramm, Oded	30	2008
Unimodular random trees. Zbl 1328.05166 Benjamini, Itai; Lyons, Russell; Schramm, Oded	29	2015
The \(C^\infty\)-convergence of hexagonal disk packings to the Riemann map. Zbl 0913.30004 He, Zheng-Xu; Schramm, Oded	29	1998
Percolation perturbations in potential theory and random walks. Zbl 0958.05121 Benjamini, Itai; Lyons, Russell; Schramm, Oded	28	1999
The scaling limits of near-critical and dynamical percolation. Zbl 1392.60078 Garban, Christophe; Pete, Gábor; Schramm, Oded	28	2018
Transboundary extremal length. Zbl 0842.30006 Schramm, Oded	27	1995
Rigidity of infinite (circle) packings. Zbl 0726.52008 Schramm, Oded	27	1991
Existence and uniqueness of packings with specified combinatorics. Zbl 0756.05039 Schramm, Oded	27	1991
Every minor-closed property of sparse graphs is testable. Zbl 1231.68176 Benjamini, Itai; Schramm, Oded; Shapira, Asaf	27	2008
The dimension of the planar Brownian frontier is \(4/3\). Zbl 1114.60316 Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin	26	2001
Analyticity of intersection exponents for planar Brownian motion. Zbl 1024.60033 Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin	24	2002
Every graph with a positive Cheeger constant contains a tree with a positive Cheeger constant. Zbl 0882.05052 Benjamini, I.; Schramm, O.	23	1997
Minimal spanning forests. Zbl 1142.60065 Lyons, Russel; Peres, Yuval; Schramm, Oded	23	2006
Random walks and harmonic functions on infinite planar graphs using square tilings. Zbl 0862.60053 Benjamini, Itai; Schramm, Oded	22	1996
Conformal invariance of Voronoi percolation. Zbl 0921.60081 Benjamini, Itai; Schramm, Oded	20	1998
Exceptional planes of percolation. Zbl 0910.60076 Benjamini, Itai; Schramm, Oded	20	1998
Selected works of Oded Schramm. In 2 volumes. Edited by Itai Benjamini and Olle Häggström. Zbl 1248.01043 Schramm, Oded	19	2011
On the separation profile of infinite graphs. Zbl 1255.05074 Benjamini, Itai; Schramm, Oded; Timár, Ádám	19	2012
Every minor-closed property of sparse graphs is testable. Zbl 1223.05291 Benjamini, Itai; Schramm, Oded; Shapira, Asaf	19	2010
Finitary coloring. Zbl 1385.60048 Holroyd, Alexander E.; Schramm, Oded; Wilson, David B.	18	2017
Rigidity of circle domains whose boundary has \(\sigma\)-finite linear measure. Zbl 0809.30006 He, Zheng-Xu; Schramm, Oded	16	1994
Mixing times for random \(k\)-cycles and coalescence-fragmentation chains. Zbl 1245.60006 Berestycki, Nathanaël; Schramm, Oded; Zeitouni, Ofer	15	2011
Local time on the exceptional set of dynamical percolation and the incipient infinite cluster. Zbl 1341.60128 Hammond, Alan; Pete, Gábor; Schramm, Oded	14	2015
Conformal uniformization and packings. Zbl 0872.30005 Schramm, Oded	13	1996
Growth of the number of spanning trees of the Erdős-Rényi giant component. Zbl 1160.05336 Lyons, Russell; Peled, Ron; Schramm, Oded	13	2008
Lack of sphere packing of graphs via nonlinear potential theory. Zbl 1270.52027 Benjamini, Itai; Schramm, Oded	13	2013
Hyperfinite graph limits. Zbl 1140.60008 Schramm, Oded	12	2008
Random-turn hex and other selection games. Zbl 1153.91012 Peres, Yuval; Schramm, Oded; Sheffield, Scott; Wilson, David B.	12	2007
Boundary proximity of SLE. Zbl 1227.60101 Schramm, Oded; Zhou, Wang	12	2010
Average kissing numbers for non-congruent sphere packings. Zbl 0836.52007 Kuperberg, Greg; Schramm, Oded	11	1994
Koebe uniformization for “almost circle domains”. Zbl 0830.30006 He, Zheng-Xu; Schramm, Oded	10	1995
The scaling limits of the minimal spanning tree and invasion percolation in the plane. Zbl 1426.60117 Garban, Christophe; Pete, Gábor; Schramm, Oded	10	2018
Markov chain intersections and the loop-erased walk. Zbl 1030.60035 Lyons, Russell; Peres, Yuval; Schramm, Oded	10	2003
On the cover time of planar graphs. Zbl 0949.60083 Jonasson, Johan; Schramm, Oded	9	2000
Visibility to infinity in the hyperbolic plane, despite obstacles. Zbl 1276.82012 Benjamini, Itai; Jonasson, Johan; Schramm, Oded; Tykesson, Johan	9	2009
Continuity of the SLE trace in simply connected domains. Zbl 1261.60079 Garban, Christophe; Rohde, Steffen; Schramm, Oded	9	2012
Sharp estimates for Brownian non-intersection probabilities. Zbl 1011.60062 Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin	7	2002
Balanced Boolean functions that can be evaluated so that every input bit is unlikely to be read. Zbl 1192.68851 Benjamini, Itai; Schramm, Oded; Wilson, David B.	6	2005
The inverse Riemann mapping theorem for relative circle domains. Zbl 0860.30005 He, Zheng-Xu; Schramm, Oded	5	1995
Stationary measures for random walks in a random environment with random scenery. Zbl 0926.60021 Lyons, Russell; Schramm, Oded	5	1999
A negative answer to Nevanlinna’s type question and a parabolic surface with a lot of negative curvature. Zbl 1056.30041 Benjamini, Itai; Merenkov, Sergei; Schramm, Oded	5	2004
On the effect of adding \(\epsilon\)-Bernoulli percolation to everywhere percolating subgraphs of \({\mathbb{Z}}^d\). Zbl 0977.82021 Benjamini, Itai; Häggström, Olle; Schramm, Oded	4	2000
Dynamical sensitivity of the infinite cluster in critical percolation. Zbl 1220.60058 Peres, Yuval; Schramm, Oded; Steif, Jeffrey E.	4	2009
Finite transitive graph embeddings into a hyperbolic metric space must stretch or squeeze. Zbl 1261.53076 Benjamini, Itai; Schramm, Oded	4	2012
Cutpoints and resistance of random walk paths. Zbl 1223.60012 Benjamini, Itai; Gurel-Gurevich, Ori; Schramm, Oded	4	2011
The dimension of the planar Brownian frontier is \(4/3\). Zbl 0993.60085 Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin	2	2001
On the volume of sets having constant width. Zbl 0657.52003 Schramm, Oded	1	1988
The scaling limits of near-critical and dynamical percolation. Zbl 1392.60078 Garban, Christophe; Pete, Gábor; Schramm, Oded	28	2018
The scaling limits of the minimal spanning tree and invasion percolation in the plane. Zbl 1426.60117 Garban, Christophe; Pete, Gábor; Schramm, Oded	10	2018
Finitary coloring. Zbl 1385.60048 Holroyd, Alexander E.; Schramm, Oded; Wilson, David B.	18	2017
Unimodular random trees. Zbl 1328.05166 Benjamini, Itai; Lyons, Russell; Schramm, Oded	29	2015
Local time on the exceptional set of dynamical percolation and the incipient infinite cluster. Zbl 1341.60128 Hammond, Alan; Pete, Gábor; Schramm, Oded	14	2015
A contour line of the continuum Gaussian free field. Zbl 1331.60090 Schramm, Oded; Sheffield, Scott	95	2013
Pivotal, cluster, and interface measures for critical planar percolation. Zbl 1276.60111 Garban, Christophe; Pete, Gábor; Schramm, Oded	48	2013
Lack of sphere packing of graphs via nonlinear potential theory. Zbl 1270.52027 Benjamini, Itai; Schramm, Oded	13	2013
On the separation profile of infinite graphs. Zbl 1255.05074 Benjamini, Itai; Schramm, Oded; Timár, Ádám	19	2012
Continuity of the SLE trace in simply connected domains. Zbl 1261.60079 Garban, Christophe; Rohde, Steffen; Schramm, Oded	9	2012
Finite transitive graph embeddings into a hyperbolic metric space must stretch or squeeze. Zbl 1261.53076 Benjamini, Itai; Schramm, Oded	4	2012
On the scaling limits of planar percolation. Zbl 1231.60116 Schramm, Oded; Smirnov, Stanislav; Garban, Christophe	33	2011
Selected works of Oded Schramm. In 2 volumes. Edited by Itai Benjamini and Olle Häggström. Zbl 1248.01043 Schramm, Oded	19	2011
Mixing times for random \(k\)-cycles and coalescence-fragmentation chains. Zbl 1245.60006 Berestycki, Nathanaël; Schramm, Oded; Zeitouni, Ofer	15	2011
Cutpoints and resistance of random walk paths. Zbl 1223.60012 Benjamini, Itai; Gurel-Gurevich, Ori; Schramm, Oded	4	2011
Brownian motion. With an appendix by Oded Schramm and Wendelin Werner. Zbl 1243.60002 Mörters, Peter; Peres, Yuval	276	2010
Quantitative noise sensitivity and exceptional times for percolation. Zbl 1213.60160 Schramm, Oded; Steif, Jeffrey E.	55	2010
The Fourier spectrum of critical percolation. Zbl 1219.60084 Garban, Christophe; Pete, Gábor; Schramm, Oded	50	2010
Every minor-closed property of sparse graphs is testable. Zbl 1223.05291 Benjamini, Itai; Schramm, Oded; Shapira, Asaf	19	2010
Boundary proximity of SLE. Zbl 1227.60101 Schramm, Oded; Zhou, Wang	12	2010
Tug-of-war and the infinity Laplacian. Zbl 1206.91002 Peres, Yuval; Schramm, Oded; Sheffield, Scott; Wilson, David B.	231	2009
Contour lines of the two-dimensional discrete Gaussian free field. Zbl 1210.60051 Schramm, Oded; Sheffield, Scott	133	2009
KPZ in one dimensional random geometry of multiplicative cascades. Zbl 1170.83006 Benjamini, Itai; Schramm, Oded	53	2009
Conformal radii for conformal loop ensembles. Zbl 1187.82044 Schramm, Oded; Sheffield, Scott; Wilson, David B.	41	2009
Poisson matching. Zbl 1175.60012 Holroyd, Alexander E.; Pemantle, Robin; Peres, Yuval; Schramm, Oded	40	2009
Visibility to infinity in the hyperbolic plane, despite obstacles. Zbl 1276.82012 Benjamini, Itai; Jonasson, Johan; Schramm, Oded; Tykesson, Johan	9	2009
Dynamical sensitivity of the infinite cluster in critical percolation. Zbl 1220.60058 Peres, Yuval; Schramm, Oded; Steif, Jeffrey E.	4	2009
Ends in uniform spanning forests. Zbl 1191.60016 Lyons, Russell; Morris, Benjamin J.; Schramm, Oded	30	2008
Every minor-closed property of sparse graphs is testable. Zbl 1231.68176 Benjamini, Itai; Schramm, Oded; Shapira, Asaf	27	2008
Growth of the number of spanning trees of the Erdős-Rényi giant component. Zbl 1160.05336 Lyons, Russell; Peled, Ron; Schramm, Oded	13	2008
Hyperfinite graph limits. Zbl 1140.60008 Schramm, Oded	12	2008
Conformally invariant scaling limits: an overview and a collection of problems. Zbl 1131.60088 Schramm, Oded	48	2007
Random-turn hex and other selection games. Zbl 1153.91012 Peres, Yuval; Schramm, Oded; Sheffield, Scott; Wilson, David B.	12	2007
Markov chains in smooth Banach spaces and Gromov-hyperbolic metric spaces. Zbl 1108.46012 Naor, Assaf; Peres, Yuval; Schramm, Oded; Sheffield, Scott	54	2006
Minimal spanning forests. Zbl 1142.60065 Lyons, Russel; Peres, Yuval; Schramm, Oded	23	2006
Basic properties of SLE. Zbl 1081.60069 Rohde, Steffen; Schramm, Oded	249	2005
SLE coordinate changes. Zbl 1094.82007 Schramm, Oded; Wilson, David B.	77	2005
Harmonic explorer and its convergence to \(\text{SLE}_4\). Zbl 1095.60007 Schramm, Oded; Sheffield, Scott	51	2005
Compositions of random transpositions. Zbl 1130.60302 Schramm, Oded	41	2005
Balanced Boolean functions that can be evaluated so that every input bit is unlikely to be read. Zbl 1192.68851 Benjamini, Itai; Schramm, Oded; Wilson, David B.	6	2005
Conformal invariance of planar loop-erased random walks and uniform spanning trees. Zbl 1126.82011 Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin	227	2004
On the scaling limit of planar self-avoiding walk. Zbl 1069.60089 Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin	80	2004
Geometry of the uniform spanning forest: transitions in dimensions 4, 8, 12,…. Zbl 1071.60006 Benjamini, Itai; Kesten, Harry; Peres, Yuval; Schramm, Oded	38	2004
A negative answer to Nevanlinna’s type question and a parabolic surface with a lot of negative curvature. Zbl 1056.30041 Benjamini, Itai; Merenkov, Sergei; Schramm, Oded	5	2004
Conformal restriction: The chordal case. Zbl 1030.60096 Lawler, Gregory; Schramm, Oded; Werner, Wendelin	141	2003
Uniform infinite planar triangulations. Zbl 1098.60010 Angel, Omer; Schramm, Oded	119	2003
First passage percolation has sublinear distance variance. Zbl 1087.60070 Benjamini, Itai; Kalai, Gil; Schramm, Oded	61	2003
Markov chain intersections and the loop-erased walk. Zbl 1030.60035 Lyons, Russell; Peres, Yuval; Schramm, Oded	10	2003
One-arm exponent for critical 2D percolation. Zbl 1015.60091 Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin	79	2002
Values of Brownian intersection exponents. III: Two-sided exponents. Zbl 1006.60075 Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin	61	2002
Analyticity of intersection exponents for planar Brownian motion. Zbl 1024.60033 Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin	24	2002
Sharp estimates for Brownian non-intersection probabilities. Zbl 1011.60062 Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin	7	2002
Recurrence of distributional limits of finite planar graphs. Zbl 1010.82021 Benjamini, Itai; Schramm, Oded	296	2001
Values of Brownian intersection exponents. I: Half-plane exponents. Zbl 1005.60097 Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin	126	2001
Values of Brownian intersection exponents. II: Plane exponents. Zbl 0993.60083 Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin	112	2001
Uniform spanning forests. Zbl 1016.60009 Benjamini, Itai; Lyons, Russell; Peres, Yuval; Schramm, Oded	110	2001
A percolation formula. Zbl 1008.60100 Schramm, Oded	56	2001
Percolation in the hyperbolic plane. Zbl 1037.82018 Benjamini, Itai; Schramm, Oded	55	2001
The dimension of the planar Brownian frontier is \(4/3\). Zbl 1114.60316 Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin	26	2001
The dimension of the planar Brownian frontier is \(4/3\). Zbl 0993.60085 Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin	2	2001
Scaling limits of loop-erased random walks and uniform spanning trees. Zbl 0968.60093 Schramm, Oded	429	2000
Embeddings of Gromov hyperbolic spaces. Zbl 0972.53021 Bonk, M.; Schramm, O.	160	2000
On the cover time of planar graphs. Zbl 0949.60083 Jonasson, Johan; Schramm, Oded	9	2000
On the effect of adding \(\epsilon\)-Bernoulli percolation to everywhere percolating subgraphs of \({\mathbb{Z}}^d\). Zbl 0977.82021 Benjamini, Itai; Häggström, Olle; Schramm, Oded	4	2000
Noise sensitivity of Boolean functions and applications to percolation. Zbl 0986.60002 Benjamini, Itai; Kalai, Gil; Schramm, Oded	99	1999
Group-invariant percolation on graphs. Zbl 0924.43002 Benjamini, I.; Lyons, R.; Peres, Y.; Schramm, O.	86	1999
Indistinguishability of percolation clusters. Zbl 0960.60013 Lyons, Russell; Schramm, Oded	49	1999
Critical percolation on any nonamenable group has no infinite clusters. Zbl 0961.60015 Benjamini, Itai; Lyons, Russell; Peres, Yuval; Schramm, Oded	37	1999
Percolation perturbations in potential theory and random walks. Zbl 0958.05121 Benjamini, Itai; Lyons, Russell; Schramm, Oded	28	1999
Stationary measures for random walks in a random environment with random scenery. Zbl 0926.60021 Lyons, Russell; Schramm, Oded	5	1999
The \(C^\infty\)-convergence of hexagonal disk packings to the Riemann map. Zbl 0913.30004 He, Zheng-Xu; Schramm, Oded	29	1998
Conformal invariance of Voronoi percolation. Zbl 0921.60081 Benjamini, Itai; Schramm, Oded	20	1998
Exceptional planes of percolation. Zbl 0910.60076 Benjamini, Itai; Schramm, Oded	20	1998
Circle patterns with the combinatorics of the square grid. Zbl 1053.30525 Schramm, Oded	42	1997
Every graph with a positive Cheeger constant contains a tree with a positive Cheeger constant. Zbl 0882.05052 Benjamini, I.; Schramm, O.	23	1997
Percolation beyond \(\mathbb{Z}^ d\), many questions and a few answers. Zbl 0890.60091 Benjamini, Itai; Schramm, Oded	106	1996
On the convergence of circle packings to the Riemann map. Zbl 0868.30010 He, Zheng-Xu; Schramm, Oded	41	1996
Harmonic functions on planar and almost planar graphs and manifolds, via circle packings. Zbl 0868.31008 Benjamini, Itai; Schramm, Oded	39	1996
Random walks and harmonic functions on infinite planar graphs using square tilings. Zbl 0862.60053 Benjamini, Itai; Schramm, Oded	22	1996
Conformal uniformization and packings. Zbl 0872.30005 Schramm, Oded	13	1996
Hyperbolic and parabolic packings. Zbl 0830.52010 He, Zheng-Xu; Schramm, O.	45	1995
Transboundary extremal length. Zbl 0842.30006 Schramm, Oded	27	1995
Koebe uniformization for “almost circle domains”. Zbl 0830.30006 He, Zheng-Xu; Schramm, Oded	10	1995
The inverse Riemann mapping theorem for relative circle domains. Zbl 0860.30005 He, Zheng-Xu; Schramm, Oded	5	1995
Rigidity of circle domains whose boundary has \(\sigma\)-finite linear measure. Zbl 0809.30006 He, Zheng-Xu; Schramm, Oded	16	1994
Average kissing numbers for non-congruent sphere packings. Zbl 0836.52007 Kuperberg, Greg; Schramm, Oded	11	1994
Fixed points, Koebe uniformization and circle packings. Zbl 0777.30002 He, Zheng-Xu; Schramm, Oded	75	1993
Square tilings with prescribed combinatorics. Zbl 0788.05019 Schramm, Oded	49	1993
How to cage an egg. Zbl 0726.52003 Schramm, Oded	32	1992
Rigidity of infinite (circle) packings. Zbl 0726.52008 Schramm, Oded	27	1991
Existence and uniqueness of packings with specified combinatorics. Zbl 0756.05039 Schramm, Oded	27	1991
Illuminating sets of constant width. Zbl 0663.52006 Schramm, Oded	34	1988
On the volume of sets having constant width. Zbl 0657.52003 Schramm, Oded	1	1988

all cited Publications top 5 cited Publications

all top 5

Cited by 2,259 Authors

45	Schramm, Oded
42	Benjamini, Itai
41	Sheffield, Scott
38	Peres, Yuval
36	Hutchcroft, Tom
36	Miller, Jason P.
36	Rossi, Julio Daniel
32	Gwynne, Ewain
29	Lawler, Gregory Francis
27	Werner, Wendelin
25	Curien, Nicolas
25	Lyons, Russell
25	Manfredi, Juan J.
24	Duminil-Copin, Hugo
24	Sun, Xin
23	Holden, Nina
21	Camia, Federico
21	Parviainen, Mikko
19	Garban, Christophe
19	Naor, Assaf
19	Wu, Hao
18	Nachmias, Asaf
18	Viklund, Fredrik Johansson
16	Angel, Omer
16	Holroyd, Alexander E.
16	Steif, Jeffrey E.
16	Timár, Ádám
16	van der Hofstad, Remco W.
15	Elek, Gábor
15	Kozma, Gady
15	Tassion, Vincent
14	Dubédat, Julien
14	Duplantier, Bertrand
14	Pete, Gábor
13	Berestycki, Nathanaël
13	Bobenko, Alexander Ivanovich
13	Hammond, Alan
13	Kytölä, Kalle
13	Lee, James R.
13	Ray, Gourab
12	Ahlberg, Daniel
12	Bordenave, Charles
12	Ding, Jian
12	Kennedy, Tom
12	Lan, Shiyi
12	Liu, Fang
12	Mörters, Peter
12	Mossel, Elchanan
12	Stufler, Benedikt
12	Wilson, David Bruce
12	Zhan, Dapeng
11	Blanc, Pablo
11	Járai, Antal A.
11	Le Gall, Jean-François
11	Raĭgorodskiĭ, Andreĭ Mikhaĭlovich
11	Rhodes, Rémi
11	Rodríguez García, José Manuel
11	Sepúlveda, Avelio
11	Sly, Allan
11	Vargas, Vincent
10	Aru, Juhan
10	Ganguly, Shirshendu
10	Goldreich, Oded
10	Grimmett, Geoffrey R.
10	Kenyon, Richard W.
10	Koshida, Shinji
10	Liu, Jinsong
10	Sidoravicius, Vladas
9	Bauer, Michel
9	Bauer, Robert Otto
9	Bernard, Denis
9	Bollobás, Béla
9	Borgs, Christian
9	Damron, Michael
9	Häggström, Olle
9	Hanson, Jack
9	Kalai, Gil
9	Lewicka, Marta
9	Liu, Qing
9	Newman, Charles Michael
9	Nolin, Pierre
9	Ossona de Mendez, Patrice
9	Pfeffer, Joshua
9	Stephenson, Kenneth
9	Sun, Nike
9	Zhou, Yuan
8	Abért, Miklós
8	Arroyo, Angel
8	Beliaev, Dmitri B.
8	Bücking, Ulrike
8	Budzinski, Thomas
8	Chayes, Jennifer Tour
8	Georgakopoulos, Agelos
8	Keller, Nathan
8	Lovász, László
8	Margarint, Vlad
8	Nešetřil, Jaroslav
8	O’Donnell, Ryan
8	Peltola, Eveliina
8	Rohde, Steffen
...and 2,159 more Authors

all top 5

Cited in 330 Serials

183	The Annals of Probability
132	Probability Theory and Related Fields
107	Journal of Statistical Physics
106	Communications in Mathematical Physics
73	Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
73	Electronic Journal of Probability
52	Stochastic Processes and their Applications
49	Transactions of the American Mathematical Society
48	Random Structures & Algorithms
39	Journal of Statistical Mechanics: Theory and Experiment
38	Proceedings of the American Mathematical Society
35	Inventiones Mathematicae
34	The Annals of Applied Probability
30	Israel Journal of Mathematics
25	Journal of Theoretical Probability
25	Electronic Communications in Probability
24	Advances in Mathematics
23	Duke Mathematical Journal
23	Discrete & Computational Geometry
21	Mathematische Annalen
20	Journal of Mathematical Physics
20	Geometriae Dedicata
20	Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
20	Journal of the American Mathematical Society
19	Discrete Mathematics
19	Journal of Mathematical Analysis and Applications
19	ALEA. Latin American Journal of Probability and Mathematical Statistics
18	Communications on Pure and Applied Mathematics
18	Nuclear Physics. B
18	Annals of Mathematics. Second Series
17	Journal of Functional Analysis
16	Mathematische Zeitschrift
16	Geometric and Functional Analysis. GAFA
16	Calculus of Variations and Partial Differential Equations
16	Journal of the European Mathematical Society (JEMS)
15	Geometry & Topology
15	Probability Surveys
14	The Electronic Journal of Combinatorics
13	Acta Mathematica
13	European Journal of Combinatorics
13	Combinatorics, Probability and Computing
13	Conformal Geometry and Dynamics
13	Journal of Physics A: Mathematical and Theoretical
12	Advances in Applied Probability
12	Statistics & Probability Letters
12	Comptes Rendus. Mathématique. Académie des Sciences, Paris
12	Computational Methods and Function Theory
12	Groups, Geometry, and Dynamics
11	Journal d’Analyse Mathématique
11	Annales de l’Institut Fourier
11	Journal of Combinatorial Theory. Series A
11	Journal of Differential Equations
11	Combinatorica
11	Revista Matemática Iberoamericana
11	Oberwolfach Reports
11	Complex Variables and Elliptic Equations
10	Journal of Applied Probability
10	Journal of the London Mathematical Society. Second Series
10	Journal de Mathématiques Pures et Appliquées. Neuvième Série
9	Letters in Mathematical Physics
9	Physica A
9	Theoretical Computer Science
9	Annales Academiae Scientiarum Fennicae. Mathematica
9	Annales Henri Lebesgue
8	Journal of Combinatorial Theory. Series B
8	Ergodic Theory and Dynamical Systems
8	Bulletin of the American Mathematical Society. New Series
8	Potential Analysis
8	Forum of Mathematics, Sigma
7	Physics Letters. B
7	Canadian Journal of Mathematics
7	Proceedings of the London Mathematical Society. Third Series
7	Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7	The Journal of Geometric Analysis
7	Journal of Mathematical Sciences (New York)
7	Annales Henri Poincaré
7	Advanced Nonlinear Studies
7	Communications on Pure and Applied Analysis
7	Proceedings of the Steklov Institute of Mathematics
7	Journal of Topology and Analysis
7	Science China. Mathematics
6	Annali di Matematica Pura ed Applicata. Serie Quarta
6	Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
6	St. Petersburg Mathematical Journal
6	European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
6	Acta Mathematica Sinica. English Series
6	Communications in Contemporary Mathematics
6	Forum of Mathematics, Pi
6	Probability and Mathematical Physics
5	Archive for Rational Mechanics and Analysis
5	Bulletin of the London Mathematical Society
5	Illinois Journal of Mathematics
5	Journal of Computer and System Sciences
5	Journal für die Reine und Angewandte Mathematik
5	Memoirs of the American Mathematical Society
5	Topology and its Applications
5	Acta Mathematica Hungarica
5	SIAM Journal on Discrete Mathematics
5	Computational Geometry
5	Brazilian Journal of Probability and Statistics
...and 230 more Serials

all top 5

Cited in 60 Fields

1,279	Probability theory and stochastic processes (60-XX)
674	Combinatorics (05-XX)
643	Statistical mechanics, structure of matter (82-XX)
294	Functions of a complex variable (30-XX)
254	Partial differential equations (35-XX)
185	Convex and discrete geometry (52-XX)
156	Group theory and generalizations (20-XX)
142	Quantum theory (81-XX)
137	Differential geometry (53-XX)
132	Computer science (68-XX)
105	Dynamical systems and ergodic theory (37-XX)
86	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
82	Measure and integration (28-XX)
68	Functional analysis (46-XX)
64	Potential theory (31-XX)
62	Manifolds and cell complexes (57-XX)
55	Geometry (51-XX)
50	Calculus of variations and optimal control; optimization (49-XX)
41	Topological groups, Lie groups (22-XX)
39	Global analysis, analysis on manifolds (58-XX)
39	Operations research, mathematical programming (90-XX)
36	General topology (54-XX)
35	Numerical analysis (65-XX)
31	Information and communication theory, circuits (94-XX)
30	Several complex variables and analytic spaces (32-XX)
29	Abstract harmonic analysis (43-XX)
28	Operator theory (47-XX)
27	Linear and multilinear algebra; matrix theory (15-XX)
26	Relativity and gravitational theory (83-XX)
24	Order, lattices, ordered algebraic structures (06-XX)
24	Statistics (62-XX)
22	Mathematical logic and foundations (03-XX)
19	General and overarching topics; collections (00-XX)
19	Ordinary differential equations (34-XX)
18	Nonassociative rings and algebras (17-XX)
16	Harmonic analysis on Euclidean spaces (42-XX)
15	Algebraic geometry (14-XX)
14	Number theory (11-XX)
14	Real functions (26-XX)
14	Difference and functional equations (39-XX)
12	History and biography (01-XX)
11	Algebraic topology (55-XX)
11	Fluid mechanics (76-XX)
9	Biology and other natural sciences (92-XX)
8	Special functions (33-XX)
7	Systems theory; control (93-XX)
4	Integral equations (45-XX)
4	Mechanics of deformable solids (74-XX)
3	Approximations and expansions (41-XX)
2	Field theory and polynomials (12-XX)
2	Commutative algebra (13-XX)
2	Associative rings and algebras (16-XX)
2	Category theory; homological algebra (18-XX)
2	Mechanics of particles and systems (70-XX)
2	Optics, electromagnetic theory (78-XX)
1	Sequences, series, summability (40-XX)
1	Integral transforms, operational calculus (44-XX)
1	Classical thermodynamics, heat transfer (80-XX)
1	Astronomy and astrophysics (85-XX)
1	Geophysics (86-XX)

Citations by Year

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