# zbMATH — the first resource for mathematics

## Pak, Igor

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 Author ID: pak.igor Published as: Pak, I.; Pak, I. M.; Pak, Igor External Links: MGP · Wikidata
 Documents Indexed: 128 Publications since 1990
all top 5

#### Co-Authors

 23 single-authored 18 Panova, Greta 9 Konvalinka, Matjaž 8 Morales, Alejandro H. 8 Nguyen, Danny 4 Postnikov, A. E. 4 Vallejo, Ernesto 3 Ciocan-Fontanine, Ionuţ 3 Muchnik, Roman 2 Babai, László 2 deSalvo, Stephen A. 2 Gamburd, Alexander 2 Garrabrant, Scott M. 2 Kopczyński, Eryk 2 Kuznetsov, Aleksandr Gennad’evich 2 Malon, Christopher 2 Malyshev, Anton Valentinovich 2 Miller, Ezra 2 Petrov, Fedor Vladimirovich 2 Pinchasi, Rom 2 Postnikov, Alexander 2 Przytycki, Piotr 2 Stoyanovskiĭ, Aleksandr Vasil’evich 2 Tassy, Martin 2 Yang, Jed 2 Yeliussizov, Damir 1 Bessenrodt, Christine 1 Boulet, Cilanne E. 1 Bratus, Sergey 1 Chandgotia, Nishant 1 Chen, Fang 1 Chmutov, Sergei V. 1 Coppersmith, Don 1 Dittmer, Sam 1 Dittmer, Samuel J. 1 Dokos, Theodore 1 Elizalde, Sergi 1 Etingof, Pavel Il’ich 1 Fedorchuk, Maksym 1 Garber, Alexeĭ Igorevich 1 Gorodezky, Igor 1 Grigorchuk, Rostislav Ivanovich 1 Guralnick, Robert Michael 1 Kassabov, Martin 1 Kirillov, Alexandre Aleksandrovich 1 Korn, Michael 1 Lovász, László 1 Lubotzky, Alexander 1 Lulov, Nathan 1 Lyu, Hanbaek 1 Miner, Sam 1 Moore, Cristopher 1 Novelli, Jean-Christophe 1 Oren, Assaf 1 Pemantle, Robin 1 Radoičić, Radoš 1 Redlich, Amanda 1 Schlenker, Jean-Marc 1 Sheffer, Adam 1 Smirnova-Nagnibeda, Tatiana 1 Sokolov, Viacheslav 1 Vilenchik, Dan 1 Vu, Van H. 1 Wilson, Stedman 1 Żuk, Andrzej
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#### Serials

 11 Journal of Combinatorial Theory. Series A 5 Discrete & Computational Geometry 4 Functional Analysis and its Applications 4 Proceedings of the American Mathematical Society 4 European Journal of Combinatorics 4 Advances in Applied Mathematics 4 Combinatorica 4 The Electronic Journal of Combinatorics 3 American Mathematical Monthly 3 Discrete Mathematics 3 Advances in Mathematics 3 SIAM Journal on Discrete Mathematics 2 Communications in Algebra 2 Russian Mathematical Surveys 2 Journal of Combinatorial Theory. Series B 2 Theoretical Computer Science 2 Transactions of the American Mathematical Society 2 Journal of Algebraic Combinatorics 2 Combinatorics, Probability and Computing 2 Séminaire Lotharingien de Combinatoire 2 The Ramanujan Journal 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Discrete Applied Mathematics 1 The Mathematical Intelligencer 1 Duke Mathematical Journal 1 Journal of Algebra 1 Mathematics of Operations Research 1 Mathematika 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Journal of Algorithms 1 Journal of Symbolic Computation 1 Probability Theory and Related Fields 1 Journal of Theoretical Probability 1 Journal of the American Mathematical Society 1 Random Structures & Algorithms 1 International Journal of Algebra and Computation 1 IMRN. International Mathematics Research Notices 1 L’Enseignement Mathématique. 2e Série 1 Linear Algebra and its Applications 1 Notices of the American Mathematical Society 1 Computational Complexity 1 Electronic Journal of Probability 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Journal of Group Theory 1 Annals of Combinatorics 1 Discrete Mathematics and Theoretical Computer Science. DMTCS 1 Annals of Mathematics. Second Series 1 LMS Journal of Computation and Mathematics 1 Journal of Nonlinear Mathematical Physics 1 Moscow Mathematical Journal 1 Functional Analysis and Other Mathematics 1 Online Journal of Analytic Combinatorics 1 Forum of Mathematics, Sigma 1 Journal of Combinatorial Algebra 1 Algebraic Combinatorics
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#### Fields

 87 Combinatorics (05-XX) 32 Computer science (68-XX) 27 Group theory and generalizations (20-XX) 24 Convex and discrete geometry (52-XX) 17 Probability theory and stochastic processes (60-XX) 14 Number theory (11-XX) 6 Operations research, mathematical programming (90-XX) 5 Algebraic geometry (14-XX) 4 Geometry (51-XX) 2 Mathematical logic and foundations (03-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Associative rings and algebras (16-XX) 2 Topological groups, Lie groups (22-XX) 2 Special functions (33-XX) 2 Abstract harmonic analysis (43-XX) 2 Differential geometry (53-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Quantum theory (81-XX) 1 Nonassociative rings and algebras (17-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH

106 Publications have been cited 832 times in 629 Documents Cited by Year
Partition bijections, a survey. Zbl 1103.05009
Pak, Igor
2006
Hook formulas for skew shapes. I: $$q$$-analogues and bijections. Zbl 1373.05026
Morales, Alejandro H.; Pak, Igor; Panova, Greta
2018
Log-concavity of the partition function. Zbl 1322.05018
DeSalvo, Stephen; Pak, Igor
2015
What do we know about the product replacement algorithm? Zbl 0986.68172
Pak, Igor
2001
The Kauffman bracket of virtual links and the Bollobás-Riordan polynomial. Zbl 1155.57004
Chmutov, Sergei; Pak, Igor
2007
The product replacement algorithm and Kazhdan’s property (T). Zbl 0980.20078
Lubotzky, Alexander; Pak, Igor
2001
Combinatorics and geometry of Littlewood-Richardson cones. Zbl 1063.05133
Pak, Igor; Vallejo, Ernesto
2005
Bijections for refined restricted permutations. Zbl 1048.05003
Elizalde, Sergi; Pak, Igor
2004
A direct bijective proof of the hook-length formula. Zbl 0934.05125
Novelli, Jean-Christophe; Pak, Igor; Stoyanovskii, Alexander V.
1997
On non-uniqueness of percolation on nonamenable Cayley graphs. Zbl 0947.43003
Pak, Igor; Smirnova-Nagnibeda, Tatiana
2000
Increasing trees and alternating permutations. Zbl 0842.05025
Kuznetsov, A. G.; Pak, I. M.; Postnikov, A. E.
1994
Strict unimodality of $$q$$-binomial coefficients. Zbl 1272.05217
Pak, Igor; Panova, Greta
2013
Groups of intermediate growth: an introduction. Zbl 1204.20049
Grigorchuk, Rostislav; Pak, Igor
2008
The shape of random pattern-avoiding permutations. Zbl 1300.05032
Miner, Sam; Pak, Igor
2014
Reduced decompositions of permutations in terms of star transpositions, generalized Catalan numbers and $$k$$-ary trees. Zbl 0931.05003
Pak, Igor
1999
Hook formulas for skew shapes. II: Combinatorial proofs and enumerative applications. Zbl 1370.05007
Morales, Alejandro H.; Pak, Igor; Panova, Greta
2017
Unimodality via Kronecker products. Zbl 1304.05153
Pak, Igor; Panova, Greta
2014
Bounds on certain classes of Kronecker and $$q$$-binomial coefficients. Zbl 1352.05011
Pak, Igor; Panova, Greta
2017
Hook length formula and geometric combinatorics. Zbl 0982.05109
Pak, Igor
2001
Lifting Markov chains to speed up mixing. Zbl 1345.60075
Chen, Fang; Lovász, László; Pak, Igor
1999
Kronecker products, characters, partitions, and the tensor square conjectures. Zbl 1328.05199
Pak, Igor; Panova, Greta; Vallejo, Ernesto
2016
Hamiltonian paths in Cayley graphs. Zbl 1229.05184
2009
Four questions on Birkhoff polytopes. Zbl 0974.52010
Pak, Igor
2000
Fast constructive recognition of a black box group isomorphic to $$S_n$$ or $$A_n$$ using Goldbach’s conjecture. Zbl 0952.20005
Bratus, Sergey; Pak, Igor
2000
A combinatorial proof of the Rogers–Ramanujan and Schur identities. Zbl 1094.05003
Boulet, Cilanne; Pak, Igor
2006
Rigidity and polynomial invariants of convex polytopes. Zbl 1081.52012
Fedorchuk, Maksym; Pak, Igor
2005
Rapidly mixing random walks and bounds on characters of the symmetric group. Zbl 1012.05156
Lulov, Nathan; Pak, Igor
2002
On the complexity of computing Kronecker coefficients. Zbl 1367.05012
Pak, Igor; Panova, Greta
2017
The weighted hook length formula. Zbl 1227.05034
Ciocan-Fontanine, Ionuţ; Konvalinka, Matjaž; Pak, Igor
2011
Asymptotics of the number of standard Young tableaux of skew shape. Zbl 1384.05175
Morales, Alejandro H.; Pak, Igor; Panova, Greta
2018
Reductions of Young tableau bijections. Zbl 1229.05282
Pak, Igor; Vallejo, Ernesto
2010
Tilings of rectangles with T-tetrominoes. Zbl 1043.05034
Korn, Michael; Pak, Igor
2004
Ribbon tile invariants. Zbl 0963.05030
Pak, Igor
2000
Words in linear groups, random walks, automata and P-recursiveness. Zbl 1422.20009
Garrabrant, Scott; Pak, Igor
2017
Expansion of product replacement graphs. Zbl 1121.05114
Gamburd, Alexander; Pak, Igor
2006
Partition congruences by involutions. Zbl 1068.11067
Bessenrodt, Christine; Pak, Igor
2004
The nature of partition bijections. I: Involutions. Zbl 1070.11047
Pak, Igor
2004
Strong bias of group generators: an obstacle to the “product replacement algorithm”. Zbl 1005.20055
Babai, László; Pak, Igor
2000
A generalization of Sylvester’s identity. Zbl 0941.05005
Pak, Igor; Postnikov, Alexander
1998
Groups of oscillating intermediate growth. Zbl 1283.20027
Kassabov, Martin; Pak, Igor
2013
Metric combinatorics of convex polyhedra: cut loci and nonoverlapping unfoldings. Zbl 1140.52008
Miller, Ezra; Pak, Igor
2008
Non-commutative extensions of the MacMahon Master Theorem. Zbl 1154.81018
2007
Partition identities and geometric bijections. Zbl 1044.05011
Pak, Igor
2004
Tile invariants: New horizons. Zbl 1052.68094
Pak, Igor
2003
On growth of Grigorchuk groups. Zbl 1024.20031
Muchnik, Roman; Pak, Igor
2001
Acute triangulations of polyhedra and $$\mathbb R^N$$. Zbl 1265.52014
Kopczyński, Eryk; Pak, Igor; Przytycki, Piotr
2012
An algebraic extension of the MacMahon master theorem. Zbl 1191.05018
Etingof, Pavel; Pak, Igor
2008
On Kazhdan constants and mixing of random walks. Zbl 1008.43002
Pak, Igor; Żuk, Andrzej
2002
Hook formulas for skew shapes. III: Multivariate and product formulas. Zbl 1425.05158
Morales, Alejandro H.; Pak, Igor; Panova, Greta
2019
Tiling simply connected regions with rectangles. Zbl 1314.05034
Pak, Igor; Yang, Jed
2013
Quantum cohomology of Hilb$$_n(\mathbb C^2)$$ and the weighted hook walk on Young diagrams. Zbl 1245.14056
Ciocan-Fontanine, Ionuţ; Konvalinka, Matjaž; Pak, Igor
2012
Covariants of the symmetric group and its analogs in Weyl algebras. Zbl 0821.20002
Kirillov, A. A.; Pak, I. M.
1990
Generalized loop-erased random walks and approximate reachability. Zbl 1303.05181
Gorodezky, Igor; Pak, Igor
2014
Constructing uniquely realizable graphs. Zbl 1280.05092
Pak, Igor; Vilenchik, Dan
2013
The area of cyclic polygons: recent progress on Robbins’ conjectures. Zbl 1088.52006
Pak, Igor
2005
On a question of B. H. Neumann. Zbl 1016.20021
Guralnick, Robert; Pak, Igor
2003
Percolation on Grigorchuk groups. Zbl 1042.20035
Muchnik, Roman; Pak, Igor
2001
On mixing of certain random walks, cutoff phenomenon and sharp threshold of random matroid processes. Zbl 0983.60036
Pak, Igor; Vu, Van H.
2001
On the number of faces of certain transportation polytopes. Zbl 0963.90042
Pak, Igor
2000
On tilings by ribbon tetrominoes. Zbl 0936.05030
Muchnik, Roman; Pak, Igor
1999
Trees associated with the Motzkin numbers. Zbl 0860.05003
Kuznetsov, Alexander; Pak, Igor; Postnikov, Alexander
1996
Complexity of short Presburger arithmetic. Zbl 1370.68139
Nguyen, Danny; Pak, Igor
2017
The expected shape of random doubly alternating Baxter permutations. Zbl 1292.05022
Dokos, Theodore; Pak, Igor
2014
The complexity of generalized domino tilings. Zbl 1295.52026
Pak, Igor; Yang, Jed
2013
Inflating the cube without stretching. Zbl 1145.52006
Pak, Igor
2008
Strong bias of group generators: an obstacle to the “product replacement algorithm”. Zbl 1075.68103
Babai, László; Pak, Igor
2004
Mixing time and long paths in graphs. Zbl 1056.05135
Pak, Igor
2002
On sampling integer points in polyhedra. Zbl 1021.90039
Pak, Igor
2002
Two random walks on upper triangular matrices. Zbl 0980.60010
Pak, Igor
2000
Random walk on upper triangular matrices mixes rapidly. Zbl 0967.60074
Coppersmith, Don; Pak, Igor
2000
Random walks on finite groups with few random generators. Zbl 0918.60061
Pak, Igor
1999
Resolutions for $$S_ n$$-modules, associated with rim hooks, and combinatorial applications. Zbl 0832.20016
Pak, I. M.; Postnikov, A. E.
1994
On the largest Kronecker and Littlewood-Richardson coefficients. Zbl 1414.05305
Pak, Igor; Panova, Greta; Yeliussizov, Damir
2019
Bounds on the largest Kronecker and induced multiplicities of finite groups. Zbl 07072614
Pak, Igor; Panova, Greta; Yeliussizov, Damir
2019
Complexity problems in enumerative combinatorics. Zbl 1448.05006
Pak, Igor
2018
Complexity of short generating functions. Zbl 1417.68057
Nguyen, Danny; Pak, Igor
2018
Why is pi less than twice phi? Zbl 1396.05014
Morales, Alejandro H.; Pak, Igor; Panova, Greta
2018
Permutation patterns are hard to count. Zbl 1410.68142
Garrabrant, Scott; Pak, Igor
2016
Fast domino tileability. Zbl 1350.68267
Pak, Igor; Sheffer, Adam; Tassy, Martin
2016
Acute triangulations of polyhedra and the Euclidean space. Zbl 1284.68607
Kopczynski, Eryk; Pak, Igor; Przytycki, Piotr
2010
Long cycles in $$abc$$-permutations. Zbl 1175.05141
Pak, Igor; Redlich, Amanda
2008
Ribbon tile invariants from the signed area. Zbl 1001.05040
Moore, Cristopher; Pak, Igor
2002
Random Cayley graphs with $$O(\log|G|)$$ generators are expanders. Zbl 0942.05061
Pak, Igor
1999
Transversal matroids and strata on Grassmannians. Zbl 0843.05014
Pak, I. M.; Postnikov, A. E.
1995
A bijective proof of the hook-length formula and its analogs. Zbl 0796.05093
Pak, I. M.; Stoyanovskij, A. V.
1992
Counting linear extensions of restricted posets. Zbl 07284879
Dittmer, Sam; Pak, Igor
2020
Concrete polytopes may not tile the space. Zbl 1445.52017
Garber, Alexey; Pak, Igor
2020
Bounds on Kronecker coefficients via contingency tables. Zbl 1441.05226
Pak, Igor; Panova, Greta
2020
Combinatorial inequalities. Zbl 1423.05028
Pak, Igor
2019
Kirszbraun-type theorems for graphs. Zbl 1416.05273
Chandgotia, Nishant; Pak, Igor; Tassy, Martin
2019
Asymptotics of principal evaluations of Schubert polynomials for layered permutations. Zbl 1405.05003
Morales, Alejandro H.; Pak, Igor; Panova, Greta
2019
The computational complexity of integer programming with alternations. Zbl 1440.90028
Nguyen, Danny; Pak, Igor
2017
Lifts, derandomization, and diameters of Schreier graphs of Mealy automata. Zbl 1413.05159
Malyshev, Anton; Pak, Igor
2017
On the odd area of planar sets. Zbl 1404.52019
Oren, Assaf; Pak, Igor; Pinchasi, Rom
2016
On the longest $$k$$-alternating subsequence. Zbl 1308.05013
Pak, Igor; Pemantle, Robin
2015
Kronecker coefficients: the tensor square conjecture and unimodality. Zbl 1393.05304
Pak, Igor; Panova, Greta; Vallejo, Ernesto
2014
Cayley compositions, partitions, polytopes, and geometric bijections. Zbl 1281.05015
2014
Triangulations of Cayley and Tutte polytopes. Zbl 1286.52004
2013
Testing commutativity of a group and the power of randomization. Zbl 1296.20068
Pak, Igor
2012
Collapsing walls theorem. Zbl 1245.52003
Pak, Igor; Pinchasi, Rom
2012
Counting linear extensions of restricted posets. Zbl 07284879
Dittmer, Sam; Pak, Igor
2020
Concrete polytopes may not tile the space. Zbl 1445.52017
Garber, Alexey; Pak, Igor
2020
Bounds on Kronecker coefficients via contingency tables. Zbl 1441.05226
Pak, Igor; Panova, Greta
2020
Hook formulas for skew shapes. III: Multivariate and product formulas. Zbl 1425.05158
Morales, Alejandro H.; Pak, Igor; Panova, Greta
2019
On the largest Kronecker and Littlewood-Richardson coefficients. Zbl 1414.05305
Pak, Igor; Panova, Greta; Yeliussizov, Damir
2019
Bounds on the largest Kronecker and induced multiplicities of finite groups. Zbl 07072614
Pak, Igor; Panova, Greta; Yeliussizov, Damir
2019
Combinatorial inequalities. Zbl 1423.05028
Pak, Igor
2019
Kirszbraun-type theorems for graphs. Zbl 1416.05273
Chandgotia, Nishant; Pak, Igor; Tassy, Martin
2019
Asymptotics of principal evaluations of Schubert polynomials for layered permutations. Zbl 1405.05003
Morales, Alejandro H.; Pak, Igor; Panova, Greta
2019
Hook formulas for skew shapes. I: $$q$$-analogues and bijections. Zbl 1373.05026
Morales, Alejandro H.; Pak, Igor; Panova, Greta
2018
Asymptotics of the number of standard Young tableaux of skew shape. Zbl 1384.05175
Morales, Alejandro H.; Pak, Igor; Panova, Greta
2018
Complexity problems in enumerative combinatorics. Zbl 1448.05006
Pak, Igor
2018
Complexity of short generating functions. Zbl 1417.68057
Nguyen, Danny; Pak, Igor
2018
Why is pi less than twice phi? Zbl 1396.05014
Morales, Alejandro H.; Pak, Igor; Panova, Greta
2018
Hook formulas for skew shapes. II: Combinatorial proofs and enumerative applications. Zbl 1370.05007
Morales, Alejandro H.; Pak, Igor; Panova, Greta
2017
Bounds on certain classes of Kronecker and $$q$$-binomial coefficients. Zbl 1352.05011
Pak, Igor; Panova, Greta
2017
On the complexity of computing Kronecker coefficients. Zbl 1367.05012
Pak, Igor; Panova, Greta
2017
Words in linear groups, random walks, automata and P-recursiveness. Zbl 1422.20009
Garrabrant, Scott; Pak, Igor
2017
Complexity of short Presburger arithmetic. Zbl 1370.68139
Nguyen, Danny; Pak, Igor
2017
The computational complexity of integer programming with alternations. Zbl 1440.90028
Nguyen, Danny; Pak, Igor
2017
Lifts, derandomization, and diameters of Schreier graphs of Mealy automata. Zbl 1413.05159
Malyshev, Anton; Pak, Igor
2017
Kronecker products, characters, partitions, and the tensor square conjectures. Zbl 1328.05199
Pak, Igor; Panova, Greta; Vallejo, Ernesto
2016
Permutation patterns are hard to count. Zbl 1410.68142
Garrabrant, Scott; Pak, Igor
2016
Fast domino tileability. Zbl 1350.68267
Pak, Igor; Sheffer, Adam; Tassy, Martin
2016
On the odd area of planar sets. Zbl 1404.52019
Oren, Assaf; Pak, Igor; Pinchasi, Rom
2016
Log-concavity of the partition function. Zbl 1322.05018
DeSalvo, Stephen; Pak, Igor
2015
On the longest $$k$$-alternating subsequence. Zbl 1308.05013
Pak, Igor; Pemantle, Robin
2015
The shape of random pattern-avoiding permutations. Zbl 1300.05032
Miner, Sam; Pak, Igor
2014
Unimodality via Kronecker products. Zbl 1304.05153
Pak, Igor; Panova, Greta
2014
Generalized loop-erased random walks and approximate reachability. Zbl 1303.05181
Gorodezky, Igor; Pak, Igor
2014
The expected shape of random doubly alternating Baxter permutations. Zbl 1292.05022
Dokos, Theodore; Pak, Igor
2014
Kronecker coefficients: the tensor square conjecture and unimodality. Zbl 1393.05304
Pak, Igor; Panova, Greta; Vallejo, Ernesto
2014
Cayley compositions, partitions, polytopes, and geometric bijections. Zbl 1281.05015
2014
Strict unimodality of $$q$$-binomial coefficients. Zbl 1272.05217
Pak, Igor; Panova, Greta
2013
Groups of oscillating intermediate growth. Zbl 1283.20027
Kassabov, Martin; Pak, Igor
2013
Tiling simply connected regions with rectangles. Zbl 1314.05034
Pak, Igor; Yang, Jed
2013
Constructing uniquely realizable graphs. Zbl 1280.05092
Pak, Igor; Vilenchik, Dan
2013
The complexity of generalized domino tilings. Zbl 1295.52026
Pak, Igor; Yang, Jed
2013
Triangulations of Cayley and Tutte polytopes. Zbl 1286.52004
2013
Acute triangulations of polyhedra and $$\mathbb R^N$$. Zbl 1265.52014
Kopczyński, Eryk; Pak, Igor; Przytycki, Piotr
2012
Quantum cohomology of Hilb$$_n(\mathbb C^2)$$ and the weighted hook walk on Young diagrams. Zbl 1245.14056
Ciocan-Fontanine, Ionuţ; Konvalinka, Matjaž; Pak, Igor
2012
Testing commutativity of a group and the power of randomization. Zbl 1296.20068
Pak, Igor
2012
Collapsing walls theorem. Zbl 1245.52003
Pak, Igor; Pinchasi, Rom
2012
The weighted hook length formula. Zbl 1227.05034
Ciocan-Fontanine, Ionuţ; Konvalinka, Matjaž; Pak, Igor
2011
Reductions of Young tableau bijections. Zbl 1229.05282
Pak, Igor; Vallejo, Ernesto
2010
Acute triangulations of polyhedra and the Euclidean space. Zbl 1284.68607
Kopczynski, Eryk; Pak, Igor; Przytycki, Piotr
2010
Hamiltonian paths in Cayley graphs. Zbl 1229.05184
2009
Geometry and complexity of O’Hara’s algorithm. Zbl 1231.05018
2009
Groups of intermediate growth: an introduction. Zbl 1204.20049
Grigorchuk, Rostislav; Pak, Igor
2008
Metric combinatorics of convex polyhedra: cut loci and nonoverlapping unfoldings. Zbl 1140.52008
Miller, Ezra; Pak, Igor
2008
An algebraic extension of the MacMahon master theorem. Zbl 1191.05018
Etingof, Pavel; Pak, Igor
2008
Inflating the cube without stretching. Zbl 1145.52006
Pak, Igor
2008
Long cycles in $$abc$$-permutations. Zbl 1175.05141
Pak, Igor; Redlich, Amanda
2008
The Kauffman bracket of virtual links and the Bollobás-Riordan polynomial. Zbl 1155.57004
Chmutov, Sergei; Pak, Igor
2007
Non-commutative extensions of the MacMahon Master Theorem. Zbl 1154.81018
2007
Partition bijections, a survey. Zbl 1103.05009
Pak, Igor
2006
A combinatorial proof of the Rogers–Ramanujan and Schur identities. Zbl 1094.05003
Boulet, Cilanne; Pak, Igor
2006
Expansion of product replacement graphs. Zbl 1121.05114
Gamburd, Alexander; Pak, Igor
2006
A short proof of rigidity of convex polytopes. Zbl 1150.52311
Pak, I. M.
2006
Percolation on finite Cayley graphs. Zbl 1121.05061
Malon, Christopher; Pak, Igor
2006
Combinatorics and geometry of Littlewood-Richardson cones. Zbl 1063.05133
Pak, Igor; Vallejo, Ernesto
2005
Rigidity and polynomial invariants of convex polytopes. Zbl 1081.52012
Fedorchuk, Maksym; Pak, Igor
2005
The area of cyclic polygons: recent progress on Robbins’ conjectures. Zbl 1088.52006
Pak, Igor
2005
Bijections for refined restricted permutations. Zbl 1048.05003
Elizalde, Sergi; Pak, Igor
2004
Tilings of rectangles with T-tetrominoes. Zbl 1043.05034
Korn, Michael; Pak, Igor
2004
Partition congruences by involutions. Zbl 1068.11067
Bessenrodt, Christine; Pak, Igor
2004
The nature of partition bijections. I: Involutions. Zbl 1070.11047
Pak, Igor
2004
Partition identities and geometric bijections. Zbl 1044.05011
Pak, Igor
2004
Strong bias of group generators: an obstacle to the “product replacement algorithm”. Zbl 1075.68103
Babai, László; Pak, Igor
2004
Tile invariants: New horizons. Zbl 1052.68094
Pak, Igor
2003
On a question of B. H. Neumann. Zbl 1016.20021
Guralnick, Robert; Pak, Igor
2003
Rapidly mixing random walks and bounds on characters of the symmetric group. Zbl 1012.05156
Lulov, Nathan; Pak, Igor
2002
On Kazhdan constants and mixing of random walks. Zbl 1008.43002
Pak, Igor; Żuk, Andrzej
2002
Mixing time and long paths in graphs. Zbl 1056.05135
Pak, Igor
2002
On sampling integer points in polyhedra. Zbl 1021.90039
Pak, Igor
2002
Ribbon tile invariants from the signed area. Zbl 1001.05040
Moore, Cristopher; Pak, Igor
2002
Percolation on finite Cayley graphs. Zbl 1030.05057
Malon, Christopher; Pak, Igor
2002
What do we know about the product replacement algorithm? Zbl 0986.68172
Pak, Igor
2001
The product replacement algorithm and Kazhdan’s property (T). Zbl 0980.20078
Lubotzky, Alexander; Pak, Igor
2001
Hook length formula and geometric combinatorics. Zbl 0982.05109
Pak, Igor
2001
On growth of Grigorchuk groups. Zbl 1024.20031
Muchnik, Roman; Pak, Igor
2001
Percolation on Grigorchuk groups. Zbl 1042.20035
Muchnik, Roman; Pak, Igor
2001
On mixing of certain random walks, cutoff phenomenon and sharp threshold of random matroid processes. Zbl 0983.60036
Pak, Igor; Vu, Van H.
2001
On non-uniqueness of percolation on nonamenable Cayley graphs. Zbl 0947.43003
Pak, Igor; Smirnova-Nagnibeda, Tatiana
2000
Four questions on Birkhoff polytopes. Zbl 0974.52010
Pak, Igor
2000
Fast constructive recognition of a black box group isomorphic to $$S_n$$ or $$A_n$$ using Goldbach’s conjecture. Zbl 0952.20005
Bratus, Sergey; Pak, Igor
2000
Ribbon tile invariants. Zbl 0963.05030
Pak, Igor
2000
Strong bias of group generators: an obstacle to the “product replacement algorithm”. Zbl 1005.20055
Babai, László; Pak, Igor
2000
On the number of faces of certain transportation polytopes. Zbl 0963.90042
Pak, Igor
2000
Two random walks on upper triangular matrices. Zbl 0980.60010
Pak, Igor
2000
Random walk on upper triangular matrices mixes rapidly. Zbl 0967.60074
Coppersmith, Don; Pak, Igor
2000
Reduced decompositions of permutations in terms of star transpositions, generalized Catalan numbers and $$k$$-ary trees. Zbl 0931.05003
Pak, Igor
1999
Lifting Markov chains to speed up mixing. Zbl 1345.60075
Chen, Fang; Lovász, László; Pak, Igor
1999
On tilings by ribbon tetrominoes. Zbl 0936.05030
Muchnik, Roman; Pak, Igor
1999
Random walks on finite groups with few random generators. Zbl 0918.60061
Pak, Igor
1999
Random Cayley graphs with $$O(\log|G|)$$ generators are expanders. Zbl 0942.05061
Pak, Igor
1999
When and how $$n$$ choose $$k$$. Zbl 0932.20001
Pak, Igor
1999
A generalization of Sylvester’s identity. Zbl 0941.05005
Pak, Igor; Postnikov, Alexander
1998
A direct bijective proof of the hook-length formula. Zbl 0934.05125
Novelli, Jean-Christophe; Pak, Igor; Stoyanovskii, Alexander V.
1997
Trees associated with the Motzkin numbers. Zbl 0860.05003
Kuznetsov, Alexander; Pak, Igor; Postnikov, Alexander
1996
...and 6 more Documents
all top 5

#### Cited by 880 Authors

 55 Pak, Igor 20 Panova, Greta 15 Konvalinka, Matjaž 11 Moffatt, Iain 9 Chen, William Yong-Chuan 9 Morales, Alejandro H. 8 Diaconis, Persi Warren 8 Yee, Ae Ja 7 Corteel, Sylvie 7 Han, Guo-Niu 7 Zanello, Fabrizio 6 Féray, Valentin 6 Kim, Jang Soo 6 Leedham-Green, Charles R. 5 Bessenrodt, Christine 5 Elizalde, Sergi 5 Ikenmeyer, Christian 5 Lucchini, Andrea 5 Neuhauser, Markus 5 Niemeyer, Alice C. 5 Stanley, Richard Peter 5 Wang, Larry X. W. 4 Alexandersson, Per 4 Bouvel, Mathilde 4 Brieussel, Jérémie 4 Fu, Shishuo 4 Hutchcroft, Tom 4 Jin, Xian’an 4 Kassabov, Martin 4 Keith, William J. 4 Kim, Byungchan 4 Mansour, Toufik 4 Peres, Yuval 4 Praeger, Cheryl Elisabeth 4 Shalev, Aner 4 Slivken, Erik 4 Tassy, Martin 4 Yoo, Meesue 3 Barnabei, Marilena 3 Bassino, Frédérique 3 Benjamini, Itai 3 Billey, Sara C. 3 Borga, Jacopo 3 Bowman, Christopher David 3 Ciocan-Fontanine, Ionuţ 3 D’angeli, Daniele 3 Dasbach, Oliver T. 3 Erschler, Anna 3 Foata, Dominique C. 3 Fu, Amy M. 3 Gamburd, Alexander 3 Garion, Shelly 3 Garver, Alexander 3 Godsil, Christopher David 3 Grigorchuk, Rostislav Ivanovich 3 Guralnick, Robert Michael 3 Hoffman, Christopher 3 Holt, Derek F. 3 Hou, Qinghu 3 Jones, Brant C. 3 Kayibi, Koko Kalambay 3 Khimshiashvili, Giorgi 3 Li, Zhongyang 3 Mahlburg, Karl 3 Nguyen, Danny 3 Nowak, Piotr W. 3 O’Brien, Eamonn A. 3 Pierrot, Adeline 3 Pirzada, Shariefuddin 3 Rizzolo, Douglas 3 Roberson, David E. 3 Rodaro, Emanuele 3 Rooney, Brendan 3 Šámal, Robert 3 Seress, Ákos 3 Sulzgruber, Robin 3 Swanson, Joshua P. 3 Vallejo, Ernesto 3 Varvitsiotis, Antonios E. 3 Wächter, Jan Philipp 3 Yeliussizov, Damir 2 Albert, Michael Henry 2 Andrews, George Eyre 2 Appleby, Glenn D. 2 Ardila Mantilla, Federico 2 Bäärnhielm, Henrik 2 Bartholdi, Laurent 2 Basu, Amitabh 2 Beals, Robert M. 2 Bell, Jason P. 2 Berestycki, Nathanaël 2 Bloom, Jonathan S. 2 Bond, Benjamin 2 Bonetti, Flavio 2 Borovik, Alexandre Vasilievich 2 Bostan, Alin 2 Boulet, Cilanne E. 2 Breuer, Felix 2 Brignall, Robert 2 Bringmann, Kathrin ...and 780 more Authors
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#### Cited in 166 Serials

 47 Journal of Combinatorial Theory. Series A 41 Discrete Mathematics 35 European Journal of Combinatorics 24 Advances in Applied Mathematics 21 Journal of Algebra 18 Annals of Combinatorics 17 Advances in Mathematics 15 The Ramanujan Journal 14 The Electronic Journal of Combinatorics 14 Séminaire Lotharingien de Combinatoire 13 Proceedings of the American Mathematical Society 13 Journal of Algebraic Combinatorics 12 Transactions of the American Mathematical Society 12 Discrete & Computational Geometry 10 The Annals of Probability 10 Theoretical Computer Science 8 Probability Theory and Related Fields 8 Random Structures & Algorithms 7 SIAM Journal on Discrete Mathematics 7 International Journal of Algebra and Computation 7 Research in Number Theory 7 Algebraic Combinatorics 6 Journal of Symbolic Computation 6 The Annals of Applied Probability 6 Annals of Mathematics. Second Series 5 Annales de l’Institut Fourier 5 Duke Mathematical Journal 5 Inventiones Mathematicae 5 Linear Algebra and its Applications 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Communications in Mathematical Physics 4 Discrete Applied Mathematics 4 Journal of Combinatorial Theory. Series B 4 Mathematische Annalen 4 Journal of Theoretical Probability 4 Journal of the American Mathematical Society 4 Bulletin of the American Mathematical Society. New Series 4 Computational Complexity 4 Journal of Mathematical Sciences (New York) 4 Journal of High Energy Physics 3 Journal of Mathematical Physics 3 Journal of Graph Theory 3 Graphs and Combinatorics 3 Experimental Mathematics 3 Combinatorics, Probability and Computing 3 Journal of Group Theory 3 Journal of Integer Sequences 3 Integers 3 International Journal of Number Theory 2 American Mathematical Monthly 2 Bulletin of the Australian Mathematical Society 2 Communications in Algebra 2 Rocky Mountain Journal of Mathematics 2 Mathematics of Computation 2 The Mathematical Intelligencer 2 Beiträge zur Algebra und Geometrie 2 Archiv der Mathematik 2 Geometriae Dedicata 2 Semigroup Forum 2 Combinatorica 2 Order 2 Geometric and Functional Analysis. GAFA 2 Aequationes Mathematicae 2 Expositiones Mathematicae 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Mathematical Programming. Series A. Series B 2 Journal of Knot Theory and its Ramifications 2 Electronic Journal of Probability 2 Geometry & Topology 2 LMS Journal of Computation and Mathematics 2 Journal of the Australian Mathematical Society 2 Discrete Mathematics, Algorithms and Applications 2 Statistics and Computing 2 Arnold Mathematical Journal 2 Journal of Combinatorial Algebra 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Linear and Multilinear Algebra 1 The Mathematical Gazette 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematische Semesterberichte 1 Nuclear Physics. B 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 Theory of Probability and its Applications 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Arithmetica 1 Acta Mathematica 1 Algebra and Logic 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Fundamenta Mathematicae 1 Illinois Journal of Mathematics 1 Information Sciences 1 Publications Mathématiques 1 Journal of Applied Probability 1 Journal of Computer and System Sciences 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Journal of Number Theory ...and 66 more Serials
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#### Cited in 48 Fields

 413 Combinatorics (05-XX) 148 Group theory and generalizations (20-XX) 111 Number theory (11-XX) 96 Probability theory and stochastic processes (60-XX) 76 Computer science (68-XX) 56 Convex and discrete geometry (52-XX) 28 Algebraic geometry (14-XX) 27 Statistical mechanics, structure of matter (82-XX) 25 Manifolds and cell complexes (57-XX) 19 Special functions (33-XX) 18 Quantum theory (81-XX) 18 Operations research, mathematical programming (90-XX) 17 Associative rings and algebras (16-XX) 16 Topological groups, Lie groups (22-XX) 16 Numerical analysis (65-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 12 Order, lattices, ordered algebraic structures (06-XX) 11 Nonassociative rings and algebras (17-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Commutative algebra (13-XX) 10 Geometry (51-XX) 9 Abstract harmonic analysis (43-XX) 7 Statistics (62-XX) 6 Differential geometry (53-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Mathematical logic and foundations (03-XX) 5 Information and communication theory, circuits (94-XX) 4 Functions of a complex variable (30-XX) 3 General and overarching topics; collections (00-XX) 3 $$K$$-theory (19-XX) 3 Functional analysis (46-XX) 3 General topology (54-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Category theory; homological algebra (18-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Operator theory (47-XX) 2 Algebraic topology (55-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX)

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