Edit Profile (opens in new tab) Benjamini, Itai Compute Distance To: Compute Author ID: benjamini.itai Published as: Benjamini, Itai; Benjamini, I.; Benjamini, Itaı External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 158 Publications since 1991, including 1 Book 1 Contribution as Editor Co-Authors: 109 Co-Authors with 148 Joint Publications 2,958 Co-Co-Authors all top 5 Co-Authors 11 single-authored 30 Schramm, Oded 16 Kozma, Gady 15 Peres, Yuval 9 Angel, Omer 9 Gurel-Gurevich, Ori 9 Yadin, Ariel 6 Lyons, Russell 5 Curien, Nicolas 5 Kesten, Harry 4 Berger, Noam 4 Häggström, Olle 4 Lubetzky, Eyal 4 Tessera, Romain 3 Alon, Noga M. 3 Amir, Gideon 3 Duminil-Copin, Hugo 3 Hermon, Jonathan 3 Kalai, Gil 3 Mossel, Elchanan 3 Ofek, Eran 3 Pemantle, Robin 3 Zeitouni, Ofer 2 Berestycki, Nathanaël 2 Cao, Jianguo 2 Chavel, Isaac 2 Chen, Zhen-Qing 2 Ellis, David Christopher 2 Feldman, Edgar A. 2 Finucane, Hilary K. 2 Hoffman, Christopher 2 Izkovsky, Roey 2 Lima, Yuri 2 Lovász, László 2 Makarychev, Yury S. 2 Paquette, Elliot 2 Romik, Dan 2 Rossignol, Raphaël 2 Shamov, Alexander 2 Shapira, Asaf 2 Shinkar, Igor 2 Sodin, Sasha 2 Solomyak, Boris 2 Timár, Ádám 2 Wieder, Udi 2 Wilson, David Bruce 2 Wormald, Nicholas Charles 2 Yehudayoff, Amir 1 Babson, Eric K. 1 Benaïm, Michel 1 Boucheron, Stéphane Vincent 1 Burdzy, Krzysztof 1 Chan, Siu On 1 Chen, Jun 1 Cohen, Gil 1 Cyr, Van 1 Eldan, Ronen 1 Elek, Gábor 1 Ferrari, Pablo Augusto 1 Fontes, Luiz Renato G. 1 Foxall, Eric 1 Friedgut, Ehud 1 Gelander, Tsachik 1 Georgakopoulos, Agelos 1 Haber, Simi 1 Haslegrave, John 1 Hoppen, Carlos 1 Horesh, Nizan 1 Hutchcroft, Tom 1 Jonasson, Johan 1 Junge, Matthew 1 Keller, Nathan 1 Krauz, Yoav 1 Krivelevich, Michael 1 Landim, Claudio 1 Lee, Susan 1 Lucas, Cyrille 1 Lugosi, Gábor 1 Machado, Fábio Prates 1 Maillard, Pascal 1 Merenkov, Sergei 1 Meyerovitch, Tom 1 Morris, Ben J. 1 Müller, Sebastian 1 Nachmias, Asaf 1 O’Donnell, Ryan 1 Panagiotis, Christoforos 1 Papasoglu, Panos 1 Peled, Ron 1 Peled, Yuval 1 Pfeffer, Joshua 1 Prałat, Paweł 1 Procaccia, Eviatar Ben 1 Revelle, David 1 Rohde, Steffen 1 Schapira, Bruno 1 Schechtman, Gideon 1 Sen, Arnab 1 Stacey, Alan M. 1 Stauffer, Alexandre O. 1 Steif, Jeffrey E. ...and 9 more Co-Authors all top 5 Serials 16 The Annals of Probability 13 Electronic Communications in Probability 9 Probability Theory and Related Fields 9 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 8 Electronic Journal of Probability 7 Random Structures & Algorithms 6 Israel Journal of Mathematics 5 Communications in Mathematical Physics 5 Proceedings of the American Mathematical Society 3 Transactions of the American Mathematical Society 3 Combinatorica 3 Journal of Theoretical Probability 3 Geometric and Functional Analysis. GAFA 3 Stochastic Processes and their Applications 2 The Annals of Applied Probability 2 Combinatorics, Probability and Computing 2 The Electronic Journal of Combinatorics 2 Journal of the European Mathematical Society (JEMS) 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Groups, Geometry, and Dynamics 2 Journal of Topology and Analysis 1 Discrete Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Nonlinearity 1 Advances in Mathematics 1 Bulletin of the London Mathematical Society 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of Combinatorial Theory. Series B 1 Journal of Geometry 1 Journal of Graph Theory 1 Proceedings of the London Mathematical Society. Third Series 1 European Journal of Combinatorics 1 Ergodic Theory and Dynamical Systems 1 Discrete & Computational Geometry 1 Journal of the American Mathematical Society 1 SIAM Journal on Discrete Mathematics 1 Differential Geometry and its Applications 1 Potential Analysis 1 The New York Journal of Mathematics 1 Mathematical Research Letters 1 Annals of Mathematics. Second Series 1 Communications in Contemporary Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Stochastics and Dynamics 1 Lecture Notes in Mathematics 1 Forum of Mathematics, Sigma 1 Analysis and Geometry in Metric Spaces 1 Mathematics and Mechanics of Complex Systems all top 5 Fields 102 Probability theory and stochastic processes (60-XX) 67 Combinatorics (05-XX) 37 Statistical mechanics, structure of matter (82-XX) 11 Computer science (68-XX) 8 Convex and discrete geometry (52-XX) 7 Measure and integration (28-XX) 7 Geometry (51-XX) 7 Differential geometry (53-XX) 6 Group theory and generalizations (20-XX) 6 Functions of a complex variable (30-XX) 6 Potential theory (31-XX) 4 Number theory (11-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Real functions (26-XX) 2 Partial differential equations (35-XX) 2 Manifolds and cell complexes (57-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 2 Mathematics education (97-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 136 Publications have been cited 1,893 times in 1,358 Documents Cited by ▼ Year ▼ Recurrence of distributional limits of finite planar graphs. Zbl 1010.82021Benjamini, Itai; Schramm, Oded 218 2001 Uniform spanning forests. Zbl 1016.60009Benjamini, Itai; Lyons, Russell; Peres, Yuval; Schramm, Oded 86 2001 Percolation beyond \(\mathbb{Z}^ d\), many questions and a few answers. Zbl 0890.60091Benjamini, Itai; Schramm, Oded 79 1996 Group-invariant percolation on graphs. Zbl 0924.43002Benjamini, I.; Lyons, R.; Peres, Y.; Schramm, O. 74 1999 Noise sensitivity of Boolean functions and applications to percolation. Zbl 0986.60002Benjamini, Itai; Kalai, Gil; Schramm, Oded 70 1999 Markov chains indexed by trees. Zbl 0793.60080Benjamini, Itai; Peres, Yuval 67 1994 Non-backtracking random walks mix faster. Zbl 1140.60301Alon, Noga; Benjamini, Itai; Lubetzky, Eyal; Sodin, Sasha 48 2007 KPZ in one dimensional random geometry of multiplicative cascades. Zbl 1170.83006Benjamini, Itai; Schramm, Oded 42 2009 Excited random walk. Zbl 1060.60043Benjamini, Itai; Wilson, David B. 40 2003 First passage percolation has sublinear distance variance. Zbl 1087.60070Benjamini, Itai; Kalai, Gil; Schramm, Oded 39 2003 Ergodic theory on stationary random graphs. Zbl 1278.05222Benjamini, Itai; Curien, Nicolas 38 2012 Percolation in the hyperbolic plane. Zbl 1037.82018Benjamini, Itai; Schramm, Oded 37 2001 On the mixing time of a simple random walk on the super critical percolation cluster. Zbl 1020.60037Benjamini, Itai; Mossel, Elchanan 36 2003 Percolation on finite graphs and isoperimetric inequalities. Zbl 1046.05071Alon, Noga; Benjamini, Itai; Stacey, Alan 35 2004 Harmonic functions on planar and almost planar graphs and manifolds, via circle packings. Zbl 0868.31008Benjamini, Itai; Schramm, Oded 34 1996 Critical percolation on any nonamenable group has no infinite clusters. Zbl 0961.60015Benjamini, Itai; Lyons, Russell; Peres, Yuval; Schramm, Oded 31 1999 Geometry of the uniform spanning forest: transitions in dimensions 4, 8, 12,…. Zbl 1071.60006Benjamini, Itai; Kesten, Harry; Peres, Yuval; Schramm, Oded 29 2004 Mixing times of the biased card shuffling and the asymmetric exclusion process. Zbl 1071.60095Benjamini, Itai; Berger, Noam; Hoffman, Christopher; Mossel, Elchanan 28 2005 Simple random walk on the uniform infinite planar quadrangulation: Subdiffusivity via pioneer points. Zbl 1274.60143Benjamini, Itai; Curien, Nicolas 28 2013 Tree-indexed random walks on groups and first passage percolation. Zbl 0794.60068Benjamini, Itai; Peres, Yuval 26 1994 Disorder, entropy and harmonic functions. Zbl 1337.60248Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel 23 2015 Unimodular random trees. Zbl 1328.05166Benjamini, Itai; Lyons, Russell; Schramm, Oded 23 2015 Percolation perturbations in potential theory and random walks. Zbl 0958.05121Benjamini, Itai; Lyons, Russell; Schramm, Oded 22 1999 The mixing time of the giant component of a random graph. Zbl 1373.05172Benjamini, Itai; Kozma, Gady; Wormald, Nicholas 22 2014 Distinguishing sceneries by observing the scenery along a random walk path. Zbl 0868.60059Benjamini, Itai; Kesten, Harry 20 1996 Cut sets and normed cohomology with applications to percolation. Zbl 0910.60075Babson, Eric; Benjamini, Itai 20 1999 Random walks and harmonic functions on infinite planar graphs using square tilings. Zbl 0862.60053Benjamini, Itai; Schramm, Oded 19 1996 Every graph with a positive Cheeger constant contains a tree with a positive Cheeger constant. Zbl 0882.05052Benjamini, I.; Schramm, O. 19 1997 The diameter of long-range percolation clusters on finite cycles. Zbl 0983.60099Benjamini, Itai; Berger, Noam 19 2001 Exceptional planes of percolation. Zbl 0910.60076Benjamini, Itai; Schramm, Oded 19 1998 Conformal invariance of Voronoi percolation. Zbl 0921.60081Benjamini, Itai; Schramm, Oded 19 1998 Asymmetric conservative processes with random rates. Zbl 0849.60093Benjamini, I.; Ferrari, P. A.; Landim, C. 19 1996 Giant component and vacant set for random walk on a discrete torus. Zbl 1141.60057Benjamini, Itai; Sznitman, Alain-Sol 18 2008 Is the critical percolation probability local? Zbl 1230.60099Benjamini, Itai; Nachmias, Asaf; Peres, Yuval 17 2011 Every minor-closed property of sparse graphs is testable. Zbl 1231.68176Benjamini, Itai; Schramm, Oded; Shapira, Asaf 17 2008 Heat kernel lower bounds on Riemannian manifolds using the old ideas of Nash. Zbl 0853.58098Benjamini, Itai; Chavel, Isaac; Feldman, Edgar A. 15 1996 A new isoperimetric comparison theorem for surfaces of variable curvature. Zbl 0886.53031Benjamini, Itai; Cao, Jianguo 14 1996 Random walks on a tree and capacity in the interval. Zbl 0767.60061Benjamini, Itai; Peres, Yuval 14 1992 Martin capacity for Markov chains. Zbl 0840.60068Benjamini, Itai; Pemantle, Robin; Peres, Yuval 14 1995 Which properties of a random sequence are dynamically sensitive? Zbl 1021.60055Benjamini, Itai; Häggström, Olle; Peres, Yuval; Steif, Jeffrey E. 14 2003 A generalized Pólya’s urn with graph based interactions. Zbl 1317.05103Benaïm, Michel; Benjamini, Itai; Chen, Jun; Lima, Yuri 13 2015 Unpredictable paths and percolation. Zbl 0937.60070Benjamini, Itai; Pemantle, Robin; Peres, Yuval 12 1998 On random graph homomorphisms into \({\mathbb{Z}}\). Zbl 1023.05123Benjamini, Itai; Häggström, Olle; Mossel, Elchanan 12 2000 Lack of sphere packing of graphs via nonlinear potential theory. Zbl 1270.52027Benjamini, Itai; Schramm, Oded 12 2013 Recurrence of random walk traces. Zbl 1118.60059Benjamini, Itai; Gurel-Gurevich, Ori; Lyons, Russell 12 2007 On the separation profile of infinite graphs. Zbl 1255.05074Benjamini, Itai; Schramm, Oded; Timár, Ádám 11 2012 Conditioned diffusions which are Brownian bridges. Zbl 0884.60077Benjamini, Itai; Lee, Susan 9 1997 Expanders are not hyperbolic. Zbl 0915.05072Benjamini, Itai 9 1998 On limits of graphs sphere packed in Euclidean space and applications. Zbl 1231.52015Benjamini, Itai; Curien, Nicolas 9 2011 Percolation of arbitrary words in \(\{0, 1\}^ \mathbb{N}\). Zbl 0832.60095Benjamini, Itai; Kesten, Harry 9 1995 Anchored expansion, speed and the Poisson-Voronoi tessellation in symmetric spaces. Zbl 1430.60019Benjamini, Itai; Paquette, Elliot; Pfeffer, Joshua 9 2018 Convergence, unanimity and disagreement in majority dynamics on unimodular graphs and random graphs. Zbl 1351.05201Benjamini, Itai; Chan, Siu-On; O’Donnell, Ryan; Tamuz, Omer; Tan, Li-Yang 8 2016 Random planar metrics. Zbl 1231.05234Benjamini, Itai 8 2011 Every minor-closed property of sparse graphs is testable. Zbl 1223.05291Benjamini, Itai; Schramm, Oded; Shapira, Asaf 8 2010 Visibility to infinity in the hyperbolic plane, despite obstacles. Zbl 1276.82012Benjamini, Itai; Jonasson, Johan; Schramm, Oded; Tykesson, Johan 8 2009 A resistance bound via an isoperimetric inequality. Zbl 1098.60075Benjamini, Itai; Kozma, Gady 8 2005 Sums and products along sparse graphs. Zbl 1288.05124Alon, Noga; Angel, Omer; Benjamini, Itai; Lubetzky, Eyal 7 2012 Random walks that avoid their past convex hull. Zbl 1009.60085Angel, Omer; Benjamini, Itai; Virág, Bálint 7 2003 Euclidean vs. graph metric. Zbl 1293.05199Benjamini, Itai 7 2013 Boundary trace of reflecting Brownian motions. Zbl 1056.60075Benjamini, Itai; Chen, Zhen-Qing; Rohde, Steffen 7 2004 Shy couplings. Zbl 1113.60076Benjamini, Itai; Burdzy, Krzysztof; Chen, Zhen-Qing 7 2007 Random paths with bounded local time. Zbl 1202.60131Benjamini, Itai; Berestycki, Nathanaël 7 2010 Instability of the Liouville property for quasi-isometric graphs and manifolds of polynomial volume growth. Zbl 0725.60087Benjamini, Itai 7 1991 Long-range percolation mixing time. Zbl 1157.60084Benjamini, Itai; Berger, Noam; Yadin, Ariel 7 2008 Random graph-homomorphisms and logarithmic degree. Zbl 1127.60007Benjamini, Itai; Yadin, Ariel; Yehudayoff, Amir 6 2007 Convex hulls in the hyperbolic space. Zbl 1260.52009Benjamini, Itai; Eldan, Ronen 6 2012 The isoperimetric constant of the random graph process. Zbl 1132.05056Benjamini, Itai; Haber, Simi; Krivelevich, Michael; Lubetzky, Eyal 6 2008 Harmonic and analytic functions on graphs. Zbl 1028.31005Benjamini, Itai; Lovász, László 6 2003 Coarse geometry and randomness. École d’Été de Probabilités de Saint-Flour XLI – 2011. Zbl 1282.05001Benjamini, Itai 6 2013 \(\omega\)-periodic graphs. Zbl 1098.05069Benjamini, Itai; Hoffman, Christopher 6 2005 Submean variance bound for effective resistance of random electric networks. Zbl 1207.82024Benjamini, Itai; Rossignol, Raphaël 6 2008 On the trace of branching random walks. Zbl 1243.60065Benjamini, Itai; Müller, Sebastian 6 2012 Recurrence of the \(\mathbb{Z}^d\)-valued infinite snake via unimodularity. Zbl 1244.60085Benjamini, Itai; Curien, Nicolas 6 2012 Entropy of random walk range. Zbl 1208.82046Benjamini, Itai; Kozma, Gady; Yadin, Ariel; Yehudayoff, Amir 5 2010 Geodesics and almost geodesic cycles in random regular graphs. Zbl 1218.05074Benjamini, Itai; Hoppen, Carlos; Ofek, Eran; Prałat, Paweł; Wormald, Nick 5 2011 A balanced excited random walk. (Une marche excité équilibrée.) Zbl 1216.60043Benjamini, Itaı; Kozma, Gady; Schapira, Bruno 5 2011 An integral test for the transience of a Brownian path with limited local time. Zbl 1216.60028Benjamini, Itai; Berestycki, Nathanaël 5 2011 Acquaintance time of a graph. Zbl 1304.68058Benjamini, Itai; Shinkar, Igor; Tsur, Gilad 5 2014 Transience of percolation clusters on wedges. Zbl 1109.60062Angel, Omer; Benjamini, Itai; Berger, Noam; Peres, Yuval 5 2006 Minimal growth harmonic functions on lamplighter groups. Zbl 1374.60146Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel 5 2017 Rapid social connectivity. Zbl 1419.82053Benjamini, Itai; Hermon, Jonathan 5 2019 Balanced Boolean functions that can be evaluated so that every input bit is unlikely to be read. Zbl 1192.68851Benjamini, Itai; Schramm, Oded; Wilson, David B. 5 2005 Selected works of Oded Schramm. In 2 volumes. Edited by Itai Benjamini and Olle Häggström. Zbl 1248.01043Schramm, Oded 4 2011 Upper bounds on the height difference of the Gaussian random field and the range of random graph homomorphisms into \(\mathbb{Z}\). Zbl 0957.05098Benjamini, Itai; Schechtman, Gideon 4 2000 Growth and isoperimetric profile of planar graphs. Zbl 1241.53035Benjamini, Itai; Papasoglu, Panos 4 2011 Examples of simply-connected Liouville manifolds with positive spectrum. Zbl 0861.53033Benjamini, Itai; Cao, Jianguo 4 1996 Sharp threshold for percolation on expanders. Zbl 1239.60090Benjamini, Itai; Boucheron, Stéphane; Lugosi, Gábor; Rossignol, Raphaël 4 2012 One-dimensional long-range diffusion-limited aggregation. I. Zbl 1353.82051Amir, Gideon; Angel, Omer; Benjamini, Itai; Kozma, Gady 4 2016 First passage percolation on a hyperbolic graph admits bi-infinite geodesics. Zbl 1358.82017Benjamini, Itai; Tessera, Romain 4 2017 A negative answer to Nevanlinna’s type question and a parabolic surface with a lot of negative curvature. Zbl 1056.30041Benjamini, Itai; Merenkov, Sergei; Schramm, Oded 4 2004 Finite transitive graph embeddings into a hyperbolic metric space must stretch or squeeze. Zbl 1261.53076Benjamini, Itai; Schramm, Oded 4 2012 Diffusion limited aggregation on a cylinder. Zbl 1150.82013Benjamini, Itai; Yadin, Ariel 4 2008 Spacings and pair correlations for finite Bernoulli convolutions. Zbl 1173.37038Benjamini, Itai; Solomyak, Boris 4 2009 Stationary map coloring. Zbl 1258.60015Angel, Omer; Benjamini, Itai; Gurel-Gurevich, Ori; Meyerovitch, Tom; Peled, Ron 4 2012 The Liouville and the intersection properties are equivalent for planar graphs. Zbl 1252.05208Benjamini, Itai; Curien, Nicolas; Georgakopoulos, Agelos 4 2012 Site recurrence for coalescing random walk. Zbl 1345.60110Benjamini, Itai; Foxall, Eric; Gurel-Gurevich, Ori; Junge, Matthew; Kesten, Harry 3 2016 On the range of the simple random walk bridge on groups. Zbl 1130.60089Benjamini, Itai; Izkovsky, Roey; Kesten, Harry 3 2007 Excited random walk against a wall. Zbl 1130.60088Amir, Gideon; Benjamini, Itai; Kozma, Gady 3 2008 On the effect of adding \(\epsilon\)-Bernoulli percolation to everywhere percolating subgraphs of \({\mathbb{Z}}^d\). Zbl 0977.82021Benjamini, Itai; Häggström, Olle; Schramm, Oded 3 2000 Survival of the weak in hyperbolic spaces, a remark on competition and geometry. Zbl 1012.30030Benjamini, Itai 3 2002 On an epidemic model on finite graphs. Zbl 1434.82074Benjamini, Itai; Fontes, Luiz Renato; Hermon, Jonathan; Machado, Fábio Prates 3 2020 Recurrence of Markov chain traces. Zbl 1434.60172Benjamini, Itai; Hermon, Jonathan 2 2020 Random walk in changing environment. Zbl 1454.60058Amir, Gideon; Benjamini, Itai; Gurel-Gurevich, Ori; Kozma, Gady 2 2020 Internal diffusion-limited aggregation with uniform starting points. Zbl 1434.82062Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Lucas, Cyrille 1 2020 Rapid social connectivity. Zbl 1419.82053Benjamini, Itai; Hermon, Jonathan 5 2019 Anchored expansion, speed and the Poisson-Voronoi tessellation in symmetric spaces. Zbl 1430.60019Benjamini, Itai; Paquette, Elliot; Pfeffer, Joshua 9 2018 An isoperimetric inequality for planar triangulations. Zbl 1401.51016Angel, Omer; Benjamini, Itai; Horesh, Nizan 1 2018 Minimal growth harmonic functions on lamplighter groups. Zbl 1374.60146Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel 5 2017 First passage percolation on a hyperbolic graph admits bi-infinite geodesics. Zbl 1358.82017Benjamini, Itai; Tessera, Romain 4 2017 On the scaling limit of finite vertex transitive graphs with large diameter. Zbl 1448.05224Benjamini, Itai; Finucane, Hilary; Tessera, Romain 3 2017 Homogenization via sprinkling. Zbl 1370.60186Benjamini, Itai; Tassion, Vincent 1 2017 Convergence, unanimity and disagreement in majority dynamics on unimodular graphs and random graphs. Zbl 1351.05201Benjamini, Itai; Chan, Siu-On; O’Donnell, Ryan; Tamuz, Omer; Tan, Li-Yang 8 2016 One-dimensional long-range diffusion-limited aggregation. I. Zbl 1353.82051Amir, Gideon; Angel, Omer; Benjamini, Itai; Kozma, Gady 4 2016 Site recurrence for coalescing random walk. Zbl 1345.60110Benjamini, Itai; Foxall, Eric; Gurel-Gurevich, Ori; Junge, Matthew; Kesten, Harry 3 2016 Bi-Lipschitz bijection between the Boolean cube and the Hamming ball. Zbl 1341.05012Benjamini, Itai; Cohen, Gil; Shinkar, Igor 2 2016 Juntas in the \(\ell_{1}\)-grid and Lipschitz maps between discrete tori. Zbl 1364.26016Benjamini, Itai; Ellis, David; Friedgut, Ehud; Keller, Nathan; Sen, Arnab 1 2016 Harmonic measure in the presence of a spectral gap. Zbl 1347.05229Benjamini, Itai; Yadin, Ariel 1 2016 On the structure of graphs which are locally indistinguishable from a lattice. Zbl 1358.05236Benjamini, Itai; Ellis, David 1 2016 Disorder, entropy and harmonic functions. Zbl 1337.60248Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel 23 2015 Unimodular random trees. Zbl 1328.05166Benjamini, Itai; Lyons, Russell; Schramm, Oded 23 2015 A generalized Pólya’s urn with graph based interactions. Zbl 1317.05103Benaïm, Michel; Benjamini, Itai; Chen, Jun; Lima, Yuri 13 2015 First passage percolation on nilpotent Cayley graphs and beyond. Zbl 1328.60207Benjamini, Itai; Tessera, Romain 2 2015 The mixing time of the giant component of a random graph. Zbl 1373.05172Benjamini, Itai; Kozma, Gady; Wormald, Nicholas 22 2014 Acquaintance time of a graph. Zbl 1304.68058Benjamini, Itai; Shinkar, Igor; Tsur, Gilad 5 2014 Annihilation and coalescence on binary trees. Zbl 1356.37061Benjamini, Itai; Lima, Yuri 1 2014 Simple random walk on the uniform infinite planar quadrangulation: Subdiffusivity via pioneer points. Zbl 1274.60143Benjamini, Itai; Curien, Nicolas 28 2013 Lack of sphere packing of graphs via nonlinear potential theory. Zbl 1270.52027Benjamini, Itai; Schramm, Oded 12 2013 Euclidean vs. graph metric. Zbl 1293.05199Benjamini, Itai 7 2013 Coarse geometry and randomness. École d’Été de Probabilités de Saint-Flour XLI – 2011. Zbl 1282.05001Benjamini, Itai 6 2013 Perturbing the hexagonal circle packing: a percolation perspective. Zbl 1383.60094Benjamini, Itai; Stauffer, Alexandre 3 2013 Uniqueness of percolation on products with \(\mathbb Z\). Zbl 1277.60170Benjamini, Itai; Kozma, Gady 2 2013 Linear cover time is exponentially unlikely. Zbl 1259.05154Benjamini, Itai; Gurel-Gurevich, Ori; Morris, Ben 2 2013 Harmonic labeling of graphs. Zbl 1277.05146Benjamini, Itai; Cyr, Van; Procaccia, Eviatar B.; Tessler, Ran J. 1 2013 Ergodic theory on stationary random graphs. Zbl 1278.05222Benjamini, Itai; Curien, Nicolas 38 2012 On the separation profile of infinite graphs. Zbl 1255.05074Benjamini, Itai; Schramm, Oded; Timár, Ádám 11 2012 Sums and products along sparse graphs. Zbl 1288.05124Alon, Noga; Angel, Omer; Benjamini, Itai; Lubetzky, Eyal 7 2012 Convex hulls in the hyperbolic space. Zbl 1260.52009Benjamini, Itai; Eldan, Ronen 6 2012 On the trace of branching random walks. Zbl 1243.60065Benjamini, Itai; Müller, Sebastian 6 2012 Recurrence of the \(\mathbb{Z}^d\)-valued infinite snake via unimodularity. Zbl 1244.60085Benjamini, Itai; Curien, Nicolas 6 2012 Sharp threshold for percolation on expanders. Zbl 1239.60090Benjamini, Itai; Boucheron, Stéphane; Lugosi, Gábor; Rossignol, Raphaël 4 2012 Finite transitive graph embeddings into a hyperbolic metric space must stretch or squeeze. Zbl 1261.53076Benjamini, Itai; Schramm, Oded 4 2012 Stationary map coloring. Zbl 1258.60015Angel, Omer; Benjamini, Itai; Gurel-Gurevich, Ori; Meyerovitch, Tom; Peled, Ron 4 2012 The Liouville and the intersection properties are equivalent for planar graphs. Zbl 1252.05208Benjamini, Itai; Curien, Nicolas; Georgakopoulos, Agelos 4 2012 Tightness of fluctuations of first passage percolation on some large graphs. Zbl 1276.60106Benjamini, Itai; Zeitouni, Ofer 1 2012 Erratum: “Maximal arithmetic progressions in random subsets”. Zbl 1242.60009Benjamini, Itai; Yadin, Ariel; Zeitouni, Ofer 1 2012 Is the critical percolation probability local? Zbl 1230.60099Benjamini, Itai; Nachmias, Asaf; Peres, Yuval 17 2011 On limits of graphs sphere packed in Euclidean space and applications. Zbl 1231.52015Benjamini, Itai; Curien, Nicolas 9 2011 Random planar metrics. Zbl 1231.05234Benjamini, Itai 8 2011 Geodesics and almost geodesic cycles in random regular graphs. Zbl 1218.05074Benjamini, Itai; Hoppen, Carlos; Ofek, Eran; Prałat, Paweł; Wormald, Nick 5 2011 A balanced excited random walk. (Une marche excité équilibrée.) Zbl 1216.60043Benjamini, Itaı; Kozma, Gady; Schapira, Bruno 5 2011 An integral test for the transience of a Brownian path with limited local time. Zbl 1216.60028Benjamini, Itai; Berestycki, Nathanaël 5 2011 Selected works of Oded Schramm. In 2 volumes. Edited by Itai Benjamini and Olle Häggström. Zbl 1248.01043Schramm, Oded 4 2011 Growth and isoperimetric profile of planar graphs. Zbl 1241.53035Benjamini, Itai; Papasoglu, Panos 4 2011 Cutpoints and resistance of random walk paths. Zbl 1223.60012Benjamini, Itai; Gurel-Gurevich, Ori; Schramm, Oded 2 2011 Instability of set recurrence and Green’s function on groups with the Liouville property. Zbl 1223.05286Benjamini, Itai; Revelle, David 2 2011 Every minor-closed property of sparse graphs is testable. Zbl 1223.05291Benjamini, Itai; Schramm, Oded; Shapira, Asaf 8 2010 Random paths with bounded local time. Zbl 1202.60131Benjamini, Itai; Berestycki, Nathanaël 7 2010 Entropy of random walk range. Zbl 1208.82046Benjamini, Itai; Kozma, Gady; Yadin, Ariel; Yehudayoff, Amir 5 2010 KPZ in one dimensional random geometry of multiplicative cascades. Zbl 1170.83006Benjamini, Itai; Schramm, Oded 42 2009 Visibility to infinity in the hyperbolic plane, despite obstacles. Zbl 1276.82012Benjamini, Itai; Jonasson, Johan; Schramm, Oded; Tykesson, Johan 8 2009 Spacings and pair correlations for finite Bernoulli convolutions. Zbl 1173.37038Benjamini, Itai; Solomyak, Boris 4 2009 Dimension reduction for hyperbolic space. Zbl 1180.51011Benjamini, Itai; Makarychev, Yury 1 2009 Giant component and vacant set for random walk on a discrete torus. Zbl 1141.60057Benjamini, Itai; Sznitman, Alain-Sol 18 2008 Every minor-closed property of sparse graphs is testable. Zbl 1231.68176Benjamini, Itai; Schramm, Oded; Shapira, Asaf 17 2008 Long-range percolation mixing time. Zbl 1157.60084Benjamini, Itai; Berger, Noam; Yadin, Ariel 7 2008 The isoperimetric constant of the random graph process. Zbl 1132.05056Benjamini, Itai; Haber, Simi; Krivelevich, Michael; Lubetzky, Eyal 6 2008 Submean variance bound for effective resistance of random electric networks. Zbl 1207.82024Benjamini, Itai; Rossignol, Raphaël 6 2008 Diffusion limited aggregation on a cylinder. Zbl 1150.82013Benjamini, Itai; Yadin, Ariel 4 2008 Excited random walk against a wall. Zbl 1130.60088Amir, Gideon; Benjamini, Itai; Kozma, Gady 3 2008 Routing complexity of faulty networks. Zbl 1128.68003Angel, Omer; Benjamini, Itai; Ofek, Eran; Wieder, Udi 2 2008 The Biham-Middleton-Levine traffic model for a single junction. Zbl 1173.82317Benjamini, Itai; Gurel-Gurevich, Ori; Izkovsky, Roey 1 2008 Non-backtracking random walks mix faster. Zbl 1140.60301Alon, Noga; Benjamini, Itai; Lubetzky, Eyal; Sodin, Sasha 48 2007 Recurrence of random walk traces. Zbl 1118.60059Benjamini, Itai; Gurel-Gurevich, Ori; Lyons, Russell 12 2007 Shy couplings. Zbl 1113.60076Benjamini, Itai; Burdzy, Krzysztof; Chen, Zhen-Qing 7 2007 Random graph-homomorphisms and logarithmic degree. Zbl 1127.60007Benjamini, Itai; Yadin, Ariel; Yehudayoff, Amir 6 2007 On the range of the simple random walk bridge on groups. Zbl 1130.60089Benjamini, Itai; Izkovsky, Roey; Kesten, Harry 3 2007 Maximal arithmetic progressions in random subsets. Zbl 1133.60007Benjamini, Itai; Yadin, Ariel; Zeitouni, Ofer 2 2007 A phase transition for the metric distortion of percolation on the hypercube. Zbl 1164.05065Angel, Omer; Benjamini, Itai 2 2007 Transience of percolation clusters on wedges. Zbl 1109.60062Angel, Omer; Benjamini, Itai; Berger, Noam; Peres, Yuval 5 2006 Random walks with \(k\)-wise independent increments. Zbl 1111.60027Benjamini, Itai; Kozma, Gady; Romik, Dan 1 2006 Waiting for a bat to fly by (in polynomial time). Zbl 1107.05057Benjamini, Itai; Kozma, Gady; Lovász, László; Romik, Dan; Tardos, Gábor 1 2006 Mixing times of the biased card shuffling and the asymmetric exclusion process. Zbl 1071.60095Benjamini, Itai; Berger, Noam; Hoffman, Christopher; Mossel, Elchanan 28 2005 A resistance bound via an isoperimetric inequality. Zbl 1098.60075Benjamini, Itai; Kozma, Gady 8 2005 \(\omega\)-periodic graphs. Zbl 1098.05069Benjamini, Itai; Hoffman, Christopher 6 2005 Balanced Boolean functions that can be evaluated so that every input bit is unlikely to be read. Zbl 1192.68851Benjamini, Itai; Schramm, Oded; Wilson, David B. 5 2005 Loop-erased random walk on a torus in dimensions 4 and above. Zbl 1083.60007Benjamini, Itai; Kozma, Gady 3 2005 Routing complexity of faulty networks. Zbl 1314.68150Angel, Omer; Benjamini, Itai; Ofek, Eran; Wieder, Udi 1 2005 Percolation on finite graphs and isoperimetric inequalities. Zbl 1046.05071Alon, Noga; Benjamini, Itai; Stacey, Alan 35 2004 Geometry of the uniform spanning forest: transitions in dimensions 4, 8, 12,…. Zbl 1071.60006Benjamini, Itai; Kesten, Harry; Peres, Yuval; Schramm, Oded 29 2004 Boundary trace of reflecting Brownian motions. Zbl 1056.60075Benjamini, Itai; Chen, Zhen-Qing; Rohde, Steffen 7 2004 A negative answer to Nevanlinna’s type question and a parabolic surface with a lot of negative curvature. Zbl 1056.30041Benjamini, Itai; Merenkov, Sergei; Schramm, Oded 4 2004 Excited random walk. Zbl 1060.60043Benjamini, Itai; Wilson, David B. 40 2003 First passage percolation has sublinear distance variance. Zbl 1087.60070Benjamini, Itai; Kalai, Gil; Schramm, Oded 39 2003 On the mixing time of a simple random walk on the super critical percolation cluster. Zbl 1020.60037Benjamini, Itai; Mossel, Elchanan 36 2003 Which properties of a random sequence are dynamically sensitive? Zbl 1021.60055Benjamini, Itai; Häggström, Olle; Peres, Yuval; Steif, Jeffrey E. 14 2003 Random walks that avoid their past convex hull. Zbl 1009.60085Angel, Omer; Benjamini, Itai; Virág, Bálint 7 2003 Harmonic and analytic functions on graphs. Zbl 1028.31005Benjamini, Itai; Lovász, László 6 2003 Survival of the weak in hyperbolic spaces, a remark on competition and geometry. Zbl 1012.30030Benjamini, Itai 3 2002 Recurrence of distributional limits of finite planar graphs. Zbl 1010.82021Benjamini, Itai; Schramm, Oded 218 2001 Uniform spanning forests. Zbl 1016.60009Benjamini, Itai; Lyons, Russell; Peres, Yuval; Schramm, Oded 86 2001 ...and 36 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,390 Authors 54 Benjamini, Itai 51 Peres, Yuval 27 Hutchcroft, Tom 25 Lyons, Russell 21 Schramm, Oded 19 Nachmias, Asaf 18 Angel, Omer 18 Yang, Weiguo 15 Kozma, Gady 14 Elek, Gábor 14 Sly, Allan 14 Steif, Jeffrey E. 13 Gwynne, Ewain 13 Häggström, Olle 13 Hermon, Jonathan 13 Mossel, Elchanan 13 van der Hofstad, Remco W. 12 Ahlberg, Daniel 12 Holroyd, Alexander E. 12 Timár, Ádám 11 Bordenave, Charles 11 Sidoravicius, Vladas 11 Teixeira, Augusto Quadros 10 Curien, Nicolas 10 Ding, Jian 10 Grimmett, Geoffrey R. 10 Gurel-Gurevich, Ori 10 Lubetzky, Eyal 10 Miller, Jason P. 10 Rhodes, Rémi 10 Sheffield, Scott 10 Vargas, Vincent 9 Duminil-Copin, Hugo 9 Garban, Christophe 9 Georgakopoulos, Agelos 9 Huang, Huilin 9 Pete, Gábor 9 Ravishankar, Krishnamurthi 8 Biskup, Marek 8 Borgs, Christian 8 Chayes, Jennifer Tour 8 Damron, Michael 8 Khoshnevisan, Davar 8 Lovász, László 8 Matzinger, Heinrich III 8 Ray, Gourab 8 Shi, Zhiyan 8 Tassion, Vincent 7 Amir, Gideon 7 Bahadoran, Christophe 7 Barlow, Martin T. 7 Berestycki, Nathanaël 7 Bollobás, Béla 7 Hoffman, Christopher 7 Járai, Antal A. 7 Keller, Nathan 7 Krivelevich, Michael 7 O’Donnell, Ryan 7 Otto, Felix 7 Sudakov, Benny 7 Tykesson, Johan Harald 7 Virág, Bálint 7 Yadin, Ariel 6 Bowen, Lewis Phylip 6 Deijfen, Maria 6 Goldreich, Oded 6 Grigor’yan, Alexander Asaturovich 6 Holden, Nina 6 Lee, James R. 6 Lugosi, Gábor 6 Menshikov, Mikhail V. 6 Montanari, Andrea 6 Müller, Sebastian 6 Nešetřil, Jaroslav 6 Ostrovskii, Dmitrii M. 6 Peled, Ron 6 Peng, Weicai 6 Prałat, Paweł 6 Procaccia, Eviatar Ben 6 Rossignol, Raphaël 6 Saada, Ellen 6 Salez, Justin 6 Schapira, Bruno 6 Stauffer, Alexandre O. 6 Szegedy, Balázs 6 Sznitman, Alain-Sol 5 Abért, Miklós 5 Anantharaman, Nalini 5 Backhausz, Ágnes M. 5 Berger, Noam 5 Caputo, Pietro 5 de Lima, Bernardo N. B. 5 Duplantier, Bertrand 5 Gantert, Nina 5 Higham, Desmond J. 5 Jonasson, Johan 5 Kaimanovich, Vadim A. 5 Kalai, Gil 5 Lelarge, Marc 5 Levin, David A. ...and 1,290 more Authors all top 5 Cited in 215 Serials 151 The Annals of Probability 96 Probability Theory and Related Fields 64 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 51 Stochastic Processes and their Applications 50 Journal of Statistical Physics 46 The Annals of Applied Probability 39 Communications in Mathematical Physics 38 Electronic Journal of Probability 31 Random Structures & Algorithms 22 Combinatorics, Probability and Computing 21 Israel Journal of Mathematics 21 Journal of Theoretical Probability 20 Transactions of the American Mathematical Society 18 Inventiones Mathematicae 18 European Journal of Combinatorics 16 Statistics & Probability Letters 16 Electronic Communications in Probability 16 ALEA. Latin American Journal of Probability and Mathematical Statistics 14 Journal of Functional Analysis 14 Proceedings of the American Mathematical Society 14 SIAM Journal on Discrete Mathematics 13 Advances in Applied Probability 13 Combinatorica 12 Discrete Mathematics 12 Duke Mathematical Journal 12 Geometric and Functional Analysis. GAFA 11 The Electronic Journal of Combinatorics 10 Journal of Combinatorial Theory. Series A 10 Journal of Combinatorial Theory. Series B 10 Groups, Geometry, and Dynamics 9 Journal of Applied Probability 9 Revista Matemática Iberoamericana 8 Journal of Mathematical Physics 8 Journal of Inequalities and Applications 8 Annals of Mathematics. Second Series 8 Journal of the European Mathematical Society (JEMS) 7 Discrete Applied Mathematics 7 Advances in Mathematics 7 Theoretical Computer Science 7 Ergodic Theory and Dynamical Systems 7 Brazilian Journal of Probability and Statistics 7 Journal of Topology and Analysis 6 Communications on Pure and Applied Mathematics 6 Discrete & Computational Geometry 6 Journal of the American Mathematical Society 6 Communications in Statistics. Theory and Methods 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Linear Algebra and its Applications 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 6 Bernoulli 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Probability Surveys 5 Journal of Computer and System Sciences 5 Acta Mathematica Hungarica 5 International Journal of Algebra and Computation 5 Forum of Mathematics, Sigma 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Acta Mathematica 4 Annales de l’Institut Fourier 4 Canadian Journal of Mathematics 4 Mathematische Annalen 4 SIAM Journal on Computing 4 Algorithmica 4 Potential Analysis 4 Annales Henri Poincaré 4 Complex Variables and Elliptic Equations 4 Proceedings of the Steklov Institute of Mathematics 4 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 3 Letters in Mathematical Physics 3 The Annals of Statistics 3 Geometriae Dedicata 3 Publications Mathématiques 3 Manuscripta Mathematica 3 Mathematische Zeitschrift 3 Science in China. Series A 3 Indagationes Mathematicae. 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New Series ...and 115 more Serials all top 5 Cited in 54 Fields 891 Probability theory and stochastic processes (60-XX) 522 Combinatorics (05-XX) 331 Statistical mechanics, structure of matter (82-XX) 91 Group theory and generalizations (20-XX) 75 Computer science (68-XX) 66 Dynamical systems and ergodic theory (37-XX) 58 Measure and integration (28-XX) 40 Partial differential equations (35-XX) 38 Convex and discrete geometry (52-XX) 38 Differential geometry (53-XX) 34 Potential theory (31-XX) 32 Statistics (62-XX) 28 Linear and multilinear algebra; matrix theory (15-XX) 26 Operator theory (47-XX) 25 Global analysis, analysis on manifolds (58-XX) 25 Quantum theory (81-XX) 24 Topological groups, Lie groups (22-XX) 24 Abstract harmonic analysis (43-XX) 23 Number theory (11-XX) 23 Functions of a complex variable (30-XX) 23 Information and communication theory, circuits (94-XX) 19 Operations research, mathematical programming (90-XX) 19 Biology and other natural sciences (92-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Mathematical logic and foundations (03-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 14 Order, lattices, ordered algebraic structures (06-XX) 14 Functional analysis (46-XX) 14 Relativity and gravitational theory (83-XX) 13 Geometry (51-XX) 13 Manifolds and cell complexes (57-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 9 Numerical analysis (65-XX) 6 Difference and functional equations (39-XX) 5 Fluid mechanics (76-XX) 4 General and overarching topics; collections (00-XX) 4 Real functions (26-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Special functions (33-XX) 4 Ordinary differential equations (34-XX) 3 History and biography (01-XX) 3 Systems theory; control (93-XX) 2 Commutative algebra (13-XX) 2 Algebraic geometry (14-XX) 2 Associative rings and algebras (16-XX) 2 General topology (54-XX) 2 Algebraic topology (55-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 Approximations and expansions (41-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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