Edit Profile Benjamini, Itai Compute Distance To: Compute Author ID: benjamini.itai Published as: Benjamini, I.; Benjamini, Itai; Benjamini, Itaı External Links: MGP · Wikidata · GND Documents Indexed: 152 Publications since 1991, including 1 Book all top 5 Co-Authors 11 single-authored 29 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 Tessera, Romain 3 Alon, Noga M. 3 Amir, Gideon 3 Duminil-Copin, Hugo 3 Häggström, Olle 3 Hermon, Jonathan 3 Kalai, Gil 3 Lubetzky, Eyal 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 Romik, Dan 2 Rossignol, Raphaël 2 Shamov, Alexander 2 Shapira, Asaf 2 Shinkar, Igor 2 Sodin, Sasha 2 Solomyak, Boris 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 Hoppen, Carlos 1 Horesh, Nizan 1 Jonasson, Johan 1 Junge, Matthew 1 Keller, Nathan 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 Papasoglu, Panos 1 Paquette, Elliot 1 Peled, Ron 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. 1 Sznitman, Alain-Sol 1 Tamuz, Omer 1 Tan, Liyang 1 Tardos, Gábor 1 Tassion, Vincent 1 Tessler, Ran J. ...and 4 more Co-Authors all top 5 Serials 16 The Annals of Probability 12 Electronic Communications in Probability 9 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 8 Probability Theory and Related Fields 7 Random Structures & Algorithms 7 Electronic Journal of Probability 6 Israel Journal of Mathematics 5 Communications in Mathematical Physics 5 Proceedings 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 Transactions of the American Mathematical Society 2 The Annals of Applied Probability 2 Combinatorics, Probability and Computing 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 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 Electronic Journal of Combinatorics 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 97 Probability theory and stochastic processes (60-XX) 62 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) 6 Group theory and generalizations (20-XX) 6 Functions of a complex variable (30-XX) 6 Potential theory (31-XX) 6 Differential geometry (53-XX) 4 Number theory (11-XX) 4 Geometry (51-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 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 2 Mathematics education (97-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 Manifolds and cell complexes (57-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 130 Publications have been cited 1,625 times in 1,173 Documents Cited by ▼ Year ▼ Recurrence of distributional limits of finite planar graphs. Zbl 1010.82021Benjamini, Itai; Schramm, Oded 192 2001 Group-invariant percolation on graphs. Zbl 0924.43002Benjamini, I.; Lyons, R.; Peres, Y.; Schramm, O. 70 1999 Percolation beyond \(\mathbb{Z}^ d\), many questions and a few answers. Zbl 0890.60091Benjamini, Itai; Schramm, Oded 70 1996 Uniform spanning forests. Zbl 1016.60009Benjamini, Itai; Lyons, Russell; Peres, Yuval; Schramm, Oded 69 2001 Markov chains indexed by trees. Zbl 0793.60080Benjamini, Itai; Peres, Yuval 61 1994 Noise sensitivity of Boolean functions and applications to percolation. Zbl 0986.60002Benjamini, Itai; Kalai, Gil; Schramm, Oded 57 1999 KPZ in one dimensional random geometry of multiplicative cascades. Zbl 1170.83006Benjamini, Itai; Schramm, Oded 39 2009 Non-backtracking random walks mix faster. Zbl 1140.60301Alon, Noga; Benjamini, Itai; Lubetzky, Eyal; Sodin, Sasha 38 2007 Excited random walk. Zbl 1060.60043Benjamini, Itai; Wilson, David B. 35 2003 First passage percolation has sublinear distance variance. Zbl 1087.60070Benjamini, Itai; Kalai, Gil; Schramm, Oded 35 2003 On the mixing time of a simple random walk on the super critical percolation cluster. Zbl 1020.60037Benjamini, Itai; Mossel, Elchanan 34 2003 Harmonic functions on planar and almost planar graphs and manifolds, via circle packings. Zbl 0868.31008Benjamini, Itai; Schramm, Oded 33 1996 Percolation on finite graphs and isoperimetric inequalities. Zbl 1046.05071Alon, Noga; Benjamini, Itai; Stacey, Alan 31 2004 Ergodic theory on stationary random graphs. Zbl 1278.05222Benjamini, Itai; Curien, Nicolas 30 2012 Percolation in the hyperbolic plane. Zbl 1037.82018Benjamini, Itai; Schramm, Oded 29 2001 Critical percolation on any nonamenable group has no infinite clusters. Zbl 0961.60015Benjamini, Itai; Lyons, Russell; Peres, Yuval; Schramm, Oded 28 1999 Geometry of the uniform spanning forest: transitions in dimensions 4, 8, 12,…. Zbl 1071.60006Benjamini, Itai; Kesten, Harry; Peres, Yuval; Schramm, Oded 25 2004 Simple random walk on the uniform infinite planar quadrangulation: Subdiffusivity via pioneer points. Zbl 1274.60143Benjamini, Itai; Curien, Nicolas 23 2013 Tree-indexed random walks on groups and first passage percolation. Zbl 0794.60068Benjamini, Itai; Peres, Yuval 22 1994 Mixing times of the biased card shuffling and the asymmetric exclusion process. Zbl 1071.60095Benjamini, Itai; Berger, Noam; Hoffman, Christopher; Mossel, Elchanan 21 2005 The mixing time of the giant component of a random graph. Zbl 1373.05172Benjamini, Itai; Kozma, Gady; Wormald, Nicholas 20 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 19 1999 Random walks and harmonic functions on infinite planar graphs using square tilings. Zbl 0862.60053Benjamini, Itai; Schramm, Oded 19 1996 The diameter of long-range percolation clusters on finite cycles. Zbl 0983.60099Benjamini, Itai; Berger, Noam 18 2001 Percolation perturbations in potential theory and random walks. Zbl 0958.05121Benjamini, Itai; Lyons, Russell; Schramm, Oded 18 1999 Conformal invariance of Voronoi percolation. Zbl 0921.60081Benjamini, Itai; Schramm, Oded 18 1998 Exceptional planes of percolation. Zbl 0910.60076Benjamini, Itai; Schramm, Oded 18 1998 Asymmetric conservative processes with random rates. Zbl 0849.60093Benjamini, I.; Ferrari, P. A.; Landim, C. 18 1996 Disorder, entropy and harmonic functions. Zbl 1337.60248Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel 17 2015 Giant component and vacant set for random walk on a discrete torus. Zbl 1141.60057Benjamini, Itai; Sznitman, Alain-Sol 17 2008 Unimodular random trees. Zbl 1328.05166Benjamini, Itai; Lyons, Russell; Schramm, Oded 16 2015 Is the critical percolation probability local? Zbl 1230.60099Benjamini, Itai; Nachmias, Asaf; Peres, Yuval 16 2011 Every minor-closed property of sparse graphs is testable. Zbl 1231.68176Benjamini, Itai; Schramm, Oded; Shapira, Asaf 16 2008 Every graph with a positive Cheeger constant contains a tree with a positive Cheeger constant. Zbl 0882.05052Benjamini, I.; Schramm, O. 16 1997 Heat kernel lower bounds on Riemannian manifolds using the old ideas of Nash. Zbl 0853.58098Benjamini, Itai; Chavel, Isaac; Feldman, Edgar A. 15 1996 Which properties of a random sequence are dynamically sensitive? Zbl 1021.60055Benjamini, Itai; Häggström, Olle; Peres, Yuval; Steif, Jeffrey E. 14 2003 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 13 1995 Lack of sphere packing of graphs via nonlinear potential theory. Zbl 1270.52027Benjamini, Itai; Schramm, Oded 11 2013 Recurrence of random walk traces. Zbl 1118.60059Benjamini, Itai; Gurel-Gurevich, Ori; Lyons, Russell 11 2007 On random graph homomorphisms into \({\mathbb{Z}}\). Zbl 1023.05123Benjamini, Itai; Häggström, Olle; Mossel, Elchanan 11 2000 Unpredictable paths and percolation. Zbl 0937.60070Benjamini, Itai; Pemantle, Robin; Peres, Yuval 11 1998 Conditioned diffusions which are Brownian bridges. Zbl 0884.60077Benjamini, Itai; Lee, Susan 9 1997 Percolation of arbitrary words in \(\{0, 1\}^ \mathbb{N}\). Zbl 0832.60095Benjamini, Itai; Kesten, Harry 9 1995 A generalized Pólya’s urn with graph based interactions. Zbl 1317.05103Benaïm, Michel; Benjamini, Itai; Chen, Jun; Lima, Yuri 8 2015 Visibility to infinity in the hyperbolic plane, despite obstacles. Zbl 1276.82012Benjamini, Itai; Jonasson, Johan; Schramm, Oded; Tykesson, Johan 8 2009 On the separation profile of infinite graphs. Zbl 1255.05074Benjamini, Itai; Schramm, Oded; Timár, Ádám 7 2012 On limits of graphs sphere packed in Euclidean space and applications. Zbl 1231.52015Benjamini, Itai; Curien, Nicolas 7 2011 Random planar metrics. Zbl 1231.05234Benjamini, Itai 7 2011 Long-range percolation mixing time. Zbl 1157.60084Benjamini, Itai; Berger, Noam; Yadin, Ariel 7 2008 Shy couplings. Zbl 1113.60076Benjamini, Itai; Burdzy, Krzysztof; Chen, Zhen-Qing 7 2007 \(\omega\)-periodic graphs. Zbl 1098.05069Benjamini, Itai; Hoffman, Christopher 7 2005 Boundary trace of reflecting Brownian motions. Zbl 1056.60075Benjamini, Itai; Chen, Zhen-Qing; Rohde, Steffen 7 2004 Instability of the Liouville property for quasi-isometric graphs and manifolds of polynomial volume growth. Zbl 0725.60087Benjamini, Itai 7 1991 Anchored expansion, speed and the Poisson-Voronoi tessellation in symmetric spaces. Zbl 1430.60019Benjamini, Itai; Paquette, Elliot; Pfeffer, Joshua 6 2018 Euclidean vs. graph metric. Zbl 1293.05199Benjamini, Itai 6 2013 Coarse geometry and randomness. École d’Été de Probabilités de Saint-Flour XLI – 2011. Zbl 1282.05001Benjamini, Itai 6 2013 Every minor-closed property of sparse graphs is testable. Zbl 1223.05291Benjamini, Itai; Schramm, Oded; Shapira, Asaf 6 2010 Submean variance bound for effective resistance of random electric networks. Zbl 1207.82024Benjamini, Itai; Rossignol, Raphaël 6 2008 The isoperimetric constant of the random graph process. Zbl 1132.05056Benjamini, Itai; Haber, Simi; Krivelevich, Michael; Lubetzky, Eyal 6 2008 A resistance bound via an isoperimetric inequality. Zbl 1098.60075Benjamini, Itai; Kozma, Gady 6 2005 Random walks that avoid their past convex hull. Zbl 1009.60085Angel, Omer; Benjamini, Itai; Virág, Bálint 6 2003 Expanders are not hyperbolic. Zbl 0915.05072Benjamini, Itai 6 1998 Rapid social connectivity. Zbl 1419.82053Benjamini, Itai; Hermon, Jonathan 5 2019 Sums and products along sparse graphs. Zbl 1288.05124Alon, Noga; Angel, Omer; Benjamini, Itai; Lubetzky, Eyal 5 2012 Recurrence of the \(\mathbb{Z}^d\)-valued infinite snake via unimodularity. Zbl 1244.60085Benjamini, Itai; Curien, Nicolas 5 2012 On the trace of branching random walks. Zbl 1243.60065Benjamini, Itai; Müller, Sebastian 5 2012 Random paths with bounded local time. Zbl 1202.60131Benjamini, Itai; Berestycki, Nathanaël 5 2010 Random graph-homomorphisms and logarithmic degree. Zbl 1127.60007Benjamini, Itai; Yadin, Ariel; Yehudayoff, Amir 5 2007 Transience of percolation clusters on wedges. Zbl 1109.60062Angel, Omer; Benjamini, Itai; Berger, Noam; Peres, Yuval 5 2006 Harmonic and analytic functions on graphs. Zbl 1028.31005Benjamini, Itai; Lovász, László 5 2003 Acquaintance time of a graph. Zbl 1304.68058Benjamini, Itai; Shinkar, Igor; Tsur, Gilad 4 2014 A balanced excited random walk. Zbl 1216.60043Benjamini, Itaı; Kozma, Gady; Schapira, Bruno 4 2011 Entropy of random walk range. Zbl 1208.82046Benjamini, Itai; Kozma, Gady; Yadin, Ariel; Yehudayoff, Amir 4 2010 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. 4 2005 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 Examples of simply-connected Liouville manifolds with positive spectrum. Zbl 0861.53033Benjamini, Itai; Cao, Jianguo 4 1996 Site recurrence for coalescing random walk. Zbl 1345.60110Benjamini, Itai; Foxall, Eric; Gurel-Gurevich, Ori; Junge, Matthew; Kesten, Harry 3 2016 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 3 2016 Perturbing the hexagonal circle packing: a percolation perspective. Zbl 1383.60094Benjamini, Itai; Stauffer, Alexandre 3 2013 Convex hulls in the hyperbolic space. Zbl 1260.52009Benjamini, Itai; Eldan, Ronen 3 2012 The Liouville and the intersection properties are equivalent for planar graphs. Zbl 1252.05208Benjamini, Itai; Curien, Nicolas; Georgakopoulos, Agelos 3 2012 Stationary map coloring. Zbl 1258.60015Angel, Omer; Benjamini, Itai; Gurel-Gurevich, Ori; Meyerovitch, Tom; Peled, Ron 3 2012 An integral test for the transience of a Brownian path with limited local time. Zbl 1216.60028Benjamini, Itai; Berestycki, Nathanaël 3 2011 Geodesics and almost geodesic cycles in random regular graphs. Zbl 1218.05074Benjamini, Itai; Hoppen, Carlos; Ofek, Eran; Prałat, Paweł; Wormald, Nick 3 2011 Spacings and pair correlations for finite Bernoulli convolutions. Zbl 1173.37038Benjamini, Itai; Solomyak, Boris 3 2009 Excited random walk against a wall. Zbl 1130.60088Amir, Gideon; Benjamini, Itai; Kozma, Gady 3 2008 Loop-erased random walk on a torus in dimensions 4 and above. Zbl 1083.60007Benjamini, Itai; Kozma, Gady 3 2005 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 3 2004 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 A correlation inequality for tree-indexed Markov chains. Zbl 0762.60060Benjamini, Itai; Peres, Yuval 3 1992 On an epidemic model on finite graphs. Zbl 1434.82074Benjamini, Itai; Fontes, Luiz Renato; Hermon, Jonathan; Machado, Fábio Prates 2 2020 Minimal growth harmonic functions on lamplighter groups. Zbl 1374.60146Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel 2 2017 First passage percolation on a hyperbolic graph admits bi-infinite geodesics. Zbl 1358.82017Benjamini, Itai; Tessera, Romain 2 2017 One-dimensional long-range diffusion-limited aggregation. I. Zbl 1353.82051Amir, Gideon; Angel, Omer; Benjamini, Itai; Kozma, Gady 2 2016 Bi-Lipschitz bijection between the Boolean cube and the Hamming ball. Zbl 1341.05012Benjamini, Itai; Cohen, Gil; Shinkar, Igor 2 2016 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 On an epidemic model on finite graphs. Zbl 1434.82074Benjamini, Itai; Fontes, Luiz Renato; Hermon, Jonathan; Machado, Fábio Prates 2 2020 Recurrence of Markov chain traces. Zbl 1434.60172Benjamini, Itai; Hermon, Jonathan 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 6 2018 Minimal growth harmonic functions on lamplighter groups. Zbl 1374.60146Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel 2 2017 First passage percolation on a hyperbolic graph admits bi-infinite geodesics. Zbl 1358.82017Benjamini, Itai; Tessera, Romain 2 2017 Homogenization via sprinkling. Zbl 1370.60186Benjamini, Itai; Tassion, Vincent 1 2017 Site recurrence for coalescing random walk. Zbl 1345.60110Benjamini, Itai; Foxall, Eric; Gurel-Gurevich, Ori; Junge, Matthew; Kesten, Harry 3 2016 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 3 2016 One-dimensional long-range diffusion-limited aggregation. I. Zbl 1353.82051Amir, Gideon; Angel, Omer; Benjamini, Itai; Kozma, Gady 2 2016 Bi-Lipschitz bijection between the Boolean cube and the Hamming ball. Zbl 1341.05012Benjamini, Itai; Cohen, Gil; Shinkar, Igor 2 2016 On the structure of graphs which are locally indistinguishable from a lattice. Zbl 1358.05236Benjamini, Itai; Ellis, David 1 2016 Harmonic measure in the presence of a spectral gap. Zbl 1347.05229Benjamini, Itai; Yadin, Ariel 1 2016 Disorder, entropy and harmonic functions. Zbl 1337.60248Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel 17 2015 Unimodular random trees. Zbl 1328.05166Benjamini, Itai; Lyons, Russell; Schramm, Oded 16 2015 A generalized Pólya’s urn with graph based interactions. Zbl 1317.05103Benaïm, Michel; Benjamini, Itai; Chen, Jun; Lima, Yuri 8 2015 First passage percolation on nilpotent Cayley graphs and beyond. Zbl 1328.60207Benjamini, Itai; Tessera, Romain 1 2015 The mixing time of the giant component of a random graph. Zbl 1373.05172Benjamini, Itai; Kozma, Gady; Wormald, Nicholas 20 2014 Acquaintance time of a graph. Zbl 1304.68058Benjamini, Itai; Shinkar, Igor; Tsur, Gilad 4 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 23 2013 Lack of sphere packing of graphs via nonlinear potential theory. Zbl 1270.52027Benjamini, Itai; Schramm, Oded 11 2013 Euclidean vs. graph metric. Zbl 1293.05199Benjamini, Itai 6 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 Algebraically recurrent random walks on groups. Zbl 1300.60062Benjamini, Itai; Finucane, Hilary; Tessera, Romain 1 2013 Ergodic theory on stationary random graphs. Zbl 1278.05222Benjamini, Itai; Curien, Nicolas 30 2012 On the separation profile of infinite graphs. Zbl 1255.05074Benjamini, Itai; Schramm, Oded; Timár, Ádám 7 2012 Sums and products along sparse graphs. Zbl 1288.05124Alon, Noga; Angel, Omer; Benjamini, Itai; Lubetzky, Eyal 5 2012 Recurrence of the \(\mathbb{Z}^d\)-valued infinite snake via unimodularity. Zbl 1244.60085Benjamini, Itai; Curien, Nicolas 5 2012 On the trace of branching random walks. Zbl 1243.60065Benjamini, Itai; Müller, Sebastian 5 2012 Convex hulls in the hyperbolic space. Zbl 1260.52009Benjamini, Itai; Eldan, Ronen 3 2012 The Liouville and the intersection properties are equivalent for planar graphs. Zbl 1252.05208Benjamini, Itai; Curien, Nicolas; Georgakopoulos, Agelos 3 2012 Stationary map coloring. Zbl 1258.60015Angel, Omer; Benjamini, Itai; Gurel-Gurevich, Ori; Meyerovitch, Tom; Peled, Ron 3 2012 Finite transitive graph embeddings into a hyperbolic metric space must stretch or squeeze. Zbl 1261.53076Benjamini, Itai; Schramm, Oded 2 2012 Sharp threshold for percolation on expanders. Zbl 1239.60090Benjamini, Itai; Boucheron, Stéphane; Lugosi, Gábor; Rossignol, Raphaël 2 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 16 2011 On limits of graphs sphere packed in Euclidean space and applications. Zbl 1231.52015Benjamini, Itai; Curien, Nicolas 7 2011 Random planar metrics. Zbl 1231.05234Benjamini, Itai 7 2011 A balanced excited random walk. Zbl 1216.60043Benjamini, Itaı; Kozma, Gady; Schapira, Bruno 4 2011 An integral test for the transience of a Brownian path with limited local time. Zbl 1216.60028Benjamini, Itai; Berestycki, Nathanaël 3 2011 Geodesics and almost geodesic cycles in random regular graphs. Zbl 1218.05074Benjamini, Itai; Hoppen, Carlos; Ofek, Eran; Prałat, Paweł; Wormald, Nick 3 2011 Cutpoints and resistance of random walk paths. Zbl 1223.60012Benjamini, Itai; Gurel-Gurevich, Ori; Schramm, Oded 2 2011 Growth and isoperimetric profile of planar graphs. Zbl 1241.53035Benjamini, Itai; Papasoglu, Panos 1 2011 Instability of set recurrence and Green’s function on groups with the Liouville property. Zbl 1223.05286Benjamini, Itai; Revelle, David 1 2011 Every minor-closed property of sparse graphs is testable. Zbl 1223.05291Benjamini, Itai; Schramm, Oded; Shapira, Asaf 6 2010 Random paths with bounded local time. Zbl 1202.60131Benjamini, Itai; Berestycki, Nathanaël 5 2010 Entropy of random walk range. Zbl 1208.82046Benjamini, Itai; Kozma, Gady; Yadin, Ariel; Yehudayoff, Amir 4 2010 KPZ in one dimensional random geometry of multiplicative cascades. Zbl 1170.83006Benjamini, Itai; Schramm, Oded 39 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 3 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 17 2008 Every minor-closed property of sparse graphs is testable. Zbl 1231.68176Benjamini, Itai; Schramm, Oded; Shapira, Asaf 16 2008 Long-range percolation mixing time. Zbl 1157.60084Benjamini, Itai; Berger, Noam; Yadin, Ariel 7 2008 Submean variance bound for effective resistance of random electric networks. Zbl 1207.82024Benjamini, Itai; Rossignol, Raphaël 6 2008 The isoperimetric constant of the random graph process. Zbl 1132.05056Benjamini, Itai; Haber, Simi; Krivelevich, Michael; Lubetzky, Eyal 6 2008 Excited random walk against a wall. Zbl 1130.60088Amir, Gideon; Benjamini, Itai; Kozma, Gady 3 2008 Diffusion limited aggregation on a cylinder. Zbl 1150.82013Benjamini, Itai; Yadin, Ariel 2 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 38 2007 Recurrence of random walk traces. Zbl 1118.60059Benjamini, Itai; Gurel-Gurevich, Ori; Lyons, Russell 11 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 5 2007 A phase transition for the metric distortion of percolation on the hypercube. Zbl 1164.05065Angel, Omer; Benjamini, Itai 2 2007 On the range of the simple random walk bridge on groups. Zbl 1130.60089Benjamini, Itai; Izkovsky, Roey; Kesten, Harry 2 2007 Maximal arithmetic progressions in random subsets. Zbl 1133.60007Benjamini, Itai; Yadin, Ariel; Zeitouni, Ofer 1 2007 Transience of percolation clusters on wedges. Zbl 1109.60062Angel, Omer; Benjamini, Itai; Berger, Noam; Peres, Yuval 5 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 Random walks with \(k\)-wise independent increments. Zbl 1111.60027Benjamini, Itai; Kozma, Gady; Romik, Dan 1 2006 Mixing times of the biased card shuffling and the asymmetric exclusion process. Zbl 1071.60095Benjamini, Itai; Berger, Noam; Hoffman, Christopher; Mossel, Elchanan 21 2005 \(\omega\)-periodic graphs. Zbl 1098.05069Benjamini, Itai; Hoffman, Christopher 7 2005 A resistance bound via an isoperimetric inequality. Zbl 1098.60075Benjamini, Itai; Kozma, Gady 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. 4 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 31 2004 Geometry of the uniform spanning forest: transitions in dimensions 4, 8, 12,…. Zbl 1071.60006Benjamini, Itai; Kesten, Harry; Peres, Yuval; Schramm, Oded 25 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 3 2004 Excited random walk. Zbl 1060.60043Benjamini, Itai; Wilson, David B. 35 2003 First passage percolation has sublinear distance variance. Zbl 1087.60070Benjamini, Itai; Kalai, Gil; Schramm, Oded 35 2003 On the mixing time of a simple random walk on the super critical percolation cluster. Zbl 1020.60037Benjamini, Itai; Mossel, Elchanan 34 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 6 2003 Harmonic and analytic functions on graphs. Zbl 1028.31005Benjamini, Itai; Lovász, László 5 2003 Survival of the weak in hyperbolic spaces, a remark on competition and geometry. Zbl 1012.30030Benjamini, Itai 2 2002 Recurrence of distributional limits of finite planar graphs. Zbl 1010.82021Benjamini, Itai; Schramm, Oded 192 2001 Uniform spanning forests. Zbl 1016.60009Benjamini, Itai; Lyons, Russell; Peres, Yuval; Schramm, Oded 69 2001 Percolation in the hyperbolic plane. Zbl 1037.82018Benjamini, Itai; Schramm, Oded 29 2001 The diameter of long-range percolation clusters on finite cycles. Zbl 0983.60099Benjamini, Itai; Berger, Noam 18 2001 On random graph homomorphisms into \({\mathbb{Z}}\). Zbl 1023.05123Benjamini, Itai; Häggström, Olle; Mossel, Elchanan 11 2000 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 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 Group-invariant percolation on graphs. Zbl 0924.43002Benjamini, I.; Lyons, R.; Peres, Y.; Schramm, O. 70 1999 ...and 30 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,232 Authors 50 Benjamini, Itai 46 Peres, Yuval 22 Lyons, Russell 21 Hutchcroft, Tom 21 Schramm, Oded 18 Yang, Weiguo 17 Nachmias, Asaf 14 Angel, Omer 14 Elek, Gábor 14 Kozma, Gady 14 Steif, Jeffrey E. 13 Häggström, Olle 13 Mossel, Elchanan 12 Hermon, Jonathan 12 Sly, Allan 12 van der Hofstad, Remco W. 11 Ahlberg, Daniel 11 Teixeira, Augusto Quadros 10 Bordenave, Charles 10 Curien, Nicolas 10 Ding, Jian 10 Gurel-Gurevich, Ori 10 Gwynne, Ewain 10 Lubetzky, Eyal 10 Rhodes, Rémi 10 Sidoravicius, Vladas 10 Vargas, Vincent 9 Biskup, Marek 9 Garban, Christophe 9 Grimmett, Geoffrey R. 9 Timár, Ádám 8 Borgs, Christian 8 Chayes, Jennifer Tour 8 Damron, Michael 8 Holroyd, Alexander E. 8 Khoshnevisan, Davar 8 Matzinger, Heinrich III 8 Pete, Gábor 8 Ravishankar, Krishnamurthi 8 Ray, Gourab 7 Berestycki, Nathanaël 7 Bollobás, Béla 7 Duminil-Copin, Hugo 7 Georgakopoulos, Agelos 7 Huang, Huilin 7 Járai, Antal A. 7 Krivelevich, Michael 7 Miller, Jason P. 7 Nešetřil, Jaroslav 7 Otto, Felix 7 Sheffield, Scott 7 Shi, Zhiyan 7 Tykesson, Johan Harald 7 Virág, Bálint 6 Amir, Gideon 6 Bahadoran, Christophe 6 Barlow, Martin T. 6 Bowen, Lewis Phylip 6 Goldreich, Oded 6 Grigor’yan, Alexander Asaturovich 6 Hoffman, Christopher 6 Holden, Nina 6 Keller, Nathan 6 Lugosi, Gábor 6 Menshikov, Mikhail V. 6 Montanari, Andrea 6 O’Donnell, Ryan 6 Ossona de Mendez, Patrice 6 Ostrovskii, Dmitrii M. 6 Peng, Weicai 6 Procaccia, Eviatar Ben 6 Rossignol, Raphaël 6 Sudakov, Benny 6 Sznitman, Alain-Sol 6 Tassion, Vincent 6 Yadin, Ariel 5 Abért, Miklós 5 Caputo, Pietro 5 de Lima, Bernardo N. B. 5 Deijfen, Maria 5 Duplantier, Bertrand 5 Jonasson, Johan 5 Kaimanovich, Vadim A. 5 Kalai, Gil 5 Lelarge, Marc 5 Levin, David A. 5 Li, Zhongyang 5 Lovász, László 5 Misumi, Jun 5 Müller, Sebastian 5 Pemantle, Robin 5 Saada, Ellen 5 Salez, Justin 5 Saloff-Coste, Laurent 5 Sanchis, Rémy 5 Schapira, Bruno 5 Sen, Arnab 5 Servedio, Rocco A. 5 Stauffer, Alexandre O. 5 Sun, Nike ...and 1,132 more Authors all top 5 Cited in 193 Serials 133 The Annals of Probability 84 Probability Theory and Related Fields 55 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 47 Journal of Statistical Physics 44 Stochastic Processes and their Applications 37 The Annals of Applied Probability 35 Communications in Mathematical Physics 31 Random Structures & Algorithms 25 Electronic Journal of Probability 21 Israel Journal of Mathematics 19 Transactions of the American Mathematical Society 19 Combinatorics, Probability and Computing 18 European Journal of Combinatorics 18 Journal of Theoretical Probability 16 Inventiones Mathematicae 13 Statistics & Probability Letters 12 Journal of Functional Analysis 12 Proceedings of the American Mathematical Society 12 SIAM Journal on Discrete Mathematics 11 Discrete Mathematics 11 Combinatorica 11 Geometric and Functional Analysis. GAFA 10 Advances in Applied Probability 10 Duke Mathematical Journal 10 Journal of Combinatorial Theory. Series B 10 ALEA. Latin American Journal of Probability and Mathematical Statistics 10 Groups, Geometry, and Dynamics 9 Journal of Combinatorial Theory. Series A 8 Discrete Applied Mathematics 8 Journal of Mathematical Physics 8 Advances in Mathematics 8 Revista Matemática Iberoamericana 8 Journal of Inequalities and Applications 8 Annals of Mathematics. Second Series 7 Journal of Applied Probability 7 Theoretical Computer Science 7 Ergodic Theory and Dynamical Systems 7 Electronic Communications in Probability 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Communications on Pure and Applied Mathematics 6 Journal of the American Mathematical Society 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 6 Journal of the European Mathematical Society (JEMS) 6 Brazilian Journal of Probability and Statistics 6 Probability Surveys 5 Journal of Computer and System Sciences 5 Discrete & Computational Geometry 5 International Journal of Algebra and Computation 5 Communications in Statistics. Theory and Methods 5 Linear Algebra and its Applications 5 Bernoulli 5 Journal of Topology and Analysis 5 Forum of Mathematics, Sigma 4 Acta Mathematica 4 Annales de l’Institut Fourier 4 Mathematische Annalen 4 SIAM Journal on Computing 4 Algorithmica 4 Potential Analysis 4 Annales Henri Poincaré 4 Proceedings of the Steklov Institute of Mathematics 3 Letters in Mathematical Physics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 The Annals of Statistics 3 Geometriae Dedicata 3 Publications Mathématiques 3 Manuscripta Mathematica 3 Mathematische Zeitschrift 3 Acta Mathematica Hungarica 3 Science in China. Series A 3 Indagationes Mathematicae. New Series 3 Computational Complexity 3 Probability in the Engineering and Informational Sciences 3 Stochastics and Dynamics 3 Journal of Statistical Mechanics: Theory and Experiment 3 Complex Variables and Elliptic Equations 3 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 2 American Mathematical Monthly 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Analysis and Applications 2 Physics Reports 2 Ukrainian Mathematical Journal 2 Arkiv för Matematik 2 Reviews in Mathematical Physics 2 Canadian Journal of Mathematics 2 Journal für die Reine und Angewandte Mathematik 2 The Journal of Symbolic Logic 2 Memoirs of the American Mathematical Society 2 Advances in Applied Mathematics 2 Stochastic Analysis and Applications 2 Graphs and Combinatorics 2 Communications in Partial Differential Equations 2 L’Enseignement Mathématique. 2e Série 2 SIAM Journal on Mathematical Analysis 2 Expositiones Mathematicae 2 Journal of Mathematical Sciences (New York) 2 The Electronic Journal of Combinatorics 2 Geometry & Topology 2 Methodology and Computing in Applied Probability ...and 93 more Serials all top 5 Cited in 53 Fields 758 Probability theory and stochastic processes (60-XX) 437 Combinatorics (05-XX) 287 Statistical mechanics, structure of matter (82-XX) 77 Group theory and generalizations (20-XX) 68 Computer science (68-XX) 56 Dynamical systems and ergodic theory (37-XX) 53 Measure and integration (28-XX) 34 Differential geometry (53-XX) 32 Potential theory (31-XX) 32 Partial differential equations (35-XX) 29 Convex and discrete geometry (52-XX) 28 Statistics (62-XX) 25 Global analysis, analysis on manifolds (58-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 22 Abstract harmonic analysis (43-XX) 22 Operator theory (47-XX) 21 Quantum theory (81-XX) 20 Topological groups, Lie groups (22-XX) 18 Functions of a complex variable (30-XX) 17 Information and communication theory, circuits (94-XX) 16 Mathematical logic and foundations (03-XX) 16 Number theory (11-XX) 16 Biology and other natural sciences (92-XX) 14 Operations research, mathematical programming (90-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Order, lattices, ordered algebraic structures (06-XX) 12 Functional analysis (46-XX) 12 Relativity and gravitational theory (83-XX) 11 Manifolds and cell complexes (57-XX) 10 Geometry (51-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 6 Numerical analysis (65-XX) 5 Fluid mechanics (76-XX) 4 Real functions (26-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Special functions (33-XX) 4 Difference and functional equations (39-XX) 3 History and biography (01-XX) 3 Ordinary differential equations (34-XX) 3 Systems theory; control (93-XX) 2 Associative rings and algebras (16-XX) 2 General topology (54-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Algebraic topology (55-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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