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## Kenyon, Richard W.

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 Author ID: kenyon.richard-w Published as: Kenyon, Richard; Kenyon, Richard W.; Kenyon, R. Homepage: http://www.math.brown.edu/~rkenyon/ External Links: MGP · Wikidata
 Documents Indexed: 84 Publications since 1991, including 1 Book 4 Contributions as Editor
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#### Co-Authors

 32 single-authored 10 Wilson, David Bruce 5 Peres, Yuval 4 Bobenko, Alexander Ivanovich 4 Okun’kov, Andreĭ Yur’evich 4 Radin, Charles 4 Sadun, Lorenzo A. 4 Solomyak, Boris 3 Kenyon, Claire M. 3 Pemantle, Robin 3 Ren, Kui 3 Sheffield, Scott 3 Ziegler, Günter Matthias 2 Cannon, James W. 2 Floyd, William J. 2 Kassel, Adrien 2 Parry, Walter R. 2 Propp, James Gary 2 Schröder, Peter 2 Sullivan, John M. jun. 2 Winkler, Peter M. 1 Abrams, Aaron 1 Brenier, Yann 1 Cerf, Raphaël 1 Cohn, Henry Lee 1 de Gier, Jan 1 Goncharov, Alexander Borisovich 1 Hammond, Alan 1 Hersh, Patricia 1 Kontsevich, Maxim Lvovich 1 Král’, Daniel 1 Lam, Wai Yeung 1 Miller, Jason P. 1 Schlenker, Jean-Marc 1 Smillie, John 1 Strichartz, Robert S. 1 Sun, Nike 1 Vershik, Anatoliĭ Moiseevich 1 Wang, Yang 1 Watson, Samuel S. 1 Wu, Wei 1 Yin, Mei
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#### Serials

 6 The Annals of Probability 4 Communications in Mathematical Physics 4 Inventiones Mathematicae 4 Journal of Combinatorial Theory. Series A 4 Ergodic Theory and Dynamical Systems 4 Oberwolfach Reports 3 Israel Journal of Mathematics 3 Transactions of the American Mathematical Society 3 Probability Theory and Related Fields 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 The Electronic Journal of Combinatorics 2 Acta Mathematica 2 Commentarii Mathematici Helvetici 2 Discrete & Computational Geometry 2 Journal of the American Mathematical Society 2 Journal of Physics A: Mathematical and Theoretical 1 American Mathematical Monthly 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Duke Mathematical Journal 1 Gazette des Mathématiciens 1 Indiana University Mathematics Journal 1 Journal of Applied Probability 1 Journal of Combinatorial Theory. Series B 1 Proceedings of the American Mathematical Society 1 Advances in Applied Mathematics 1 Algorithmica 1 SIAM Journal on Discrete Mathematics 1 Random Structures & Algorithms 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Notices of the American Mathematical Society 1 Conformal Geometry and Dynamics 1 Annals of Mathematics. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 SMF Journée Annuelle 1 Discrete Analysis
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#### Fields

 38 Statistical mechanics, structure of matter (82-XX) 35 Combinatorics (05-XX) 25 Convex and discrete geometry (52-XX) 22 Probability theory and stochastic processes (60-XX) 12 Dynamical systems and ergodic theory (37-XX) 7 Measure and integration (28-XX) 7 Differential geometry (53-XX) 5 General and overarching topics; collections (00-XX) 5 Manifolds and cell complexes (57-XX) 3 Number theory (11-XX) 3 Algebraic geometry (14-XX) 3 Group theory and generalizations (20-XX) 3 Computer science (68-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Associative rings and algebras (16-XX) 2 Geometry (51-XX) 2 Mathematics education (97-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

74 Publications have been cited 1,821 times in 1,071 Documents Cited by Year
Dimers and amoebae. Zbl 1154.82007
Kenyon, Richard; Okounkov, Andrei; Sheffield, Scott
2006
A variational principle for domino tilings. Zbl 1037.82016
Cohn, Henry; Kenyon, Richard; Propp, James
2001
Limit shapes and the complex Burgers equation. Zbl 1156.14029
Kenyon, Richard; Okounkov, Andrei
2007
Dimers and cluster integrable systems. (Dimères et systèmes intégrables de type cluster.) Zbl 1288.37025
Goncharov, Alexander B.; Kenyon, Richard
2013
Dominos and the Gaussian free field. Zbl 1034.82021
Kenyon, Richard
2001
Local statistics of lattice dimers. Zbl 0893.60047
Kenyon, Richard
1997
Conformal invariance of domino tiling. Zbl 1043.52014
Kenyon, Richard
2000
The Laplacian and Dirac operators on critical planar graphs. Zbl 1038.58037
Kenyon, R.
2002
Lectures on dimers. Zbl 1180.82001
Kenyon, Richard
2009
The asymptotic determinant of the discrete Laplacian. Zbl 0982.05013
Kenyon, Richard
2000
Billiards on rational-angled triangles. Zbl 0967.37019
Kenyon, Richard; Smillie, John
2000
Planar dimers and Harnack curves. Zbl 1100.14047
Kenyon, Richard; Okounkov, Andrei
2006
Self-replicating tilings. Zbl 0770.52013
Kenyon, Richard
1992
Hyperbolic geometry. Zbl 0899.51012
Cannon, James W.; Floyd, William J.; Kenyon, Richard; Parry, Walter R.
1997
Measures of full dimension on affine-invariant sets. Zbl 0851.58028
Kenyon, R.; Peres, Y.
1996
Projecting the one-dimensional Sierpiński gasket. Zbl 0871.28006
Kenyon, Richard
1997
Height fluctuations in the honeycomb dimer model. Zbl 1157.82028
Kenyon, Richard
2008
The construction of self-similar tilings. Zbl 0866.52014
Kenyon, R.
1996
The low-temperature expansion of the Wulff crystal in the 3D Ising model. Zbl 1013.82010
Cerf, Raphaël; Kenyon, Richard
2001
Rhombic embeddings of planar quad-graphs. Zbl 1062.05045
Kenyon, Richard; Schlenker, Jean-Marc
2005
An introduction to the dimer model. Zbl 1076.82025
Kenyon, Richard
2004
Spanning forests and the vector bundle Laplacian. Zbl 1252.82029
Kenyon, Richard
2011
Trees and matchings. Zbl 0939.05066
Kenyon, Richard W.; Propp, James G.; Wilson, David B.
2000
Intersecting random translates of invariant Cantor sets. Zbl 0745.28012
Kenyon, Richard; Peres, Yuval
1991
Boundary partitions in trees and dimers. Zbl 1230.60009
Kenyon, Richard W.; Wilson, David B.
2011
Arithmetic construction of sofic partitions of hyperbolic toral automorphisms. Zbl 0915.58077
Kenyon, Richard; Vershik, Anatoly
1998
Hausdorff dimensions of sofic affine-invariant sets. Zbl 1075.37503
Kenyon, R.; Peres, Y.
1997
Tiling a polygon with rectangles. Zbl 0915.05039
Kenyon, Claire; Kenyon, Richard
1992
Conformal invariance of loops in the double-dimer model. Zbl 1283.05218
Kenyon, Richard
2014
Tiling a polygon with parallelograms. Zbl 0778.52012
Kenyon, Richard
1993
Multipodal structure and phase transitions in large constrained graphs. Zbl 1376.82029
2017
Long-range properties of spanning trees. Zbl 0977.82011
Kenyon, Richard
2000
Double-dimer pairings and skew Young diagrams. Zbl 1247.05025
Kenyon, Richard W.; Wilson, David B.
2011
Spanning trees of graphs on surfaces and the intensity of loop-erased random walk on planar graphs. Zbl 1327.60033
Kenyon, Richard W.; Wilson, David B.
2015
Bipolar orientations on planar maps and $$\mathrm{SLE}_{12}$$. Zbl 1466.60170
Kenyon, Richard; Miller, Jason; Sheffield, Scott; Wilson, David B.
2019
Constructing rational maps from subdivision rules. Zbl 1077.37037
Cannon, J. W.; Floyd, W. J.; Kenyon, R.; Parry, W. R.
2003
Hausdorff dimension for fractals invariant under multiplicative integers. Zbl 1277.37023
Kenyon, Richard; Peres, Yuval; Solomyak, Boris
2012
Tilings and discrete Dirichlet problems. Zbl 0938.60070
Kenyon, Richard
1998
Double-dimers, the Ising model and the hexahedron recurrence. Zbl 1325.05136
Kenyon, Richard; Pemantle, Robin
2016
The Laplacian on planar graphs and graphs on surfaces. Zbl 1316.05087
Kenyon, R.
2012
The planar dimer model boundary: A survey. Zbl 1026.82007
Kenyon, Richard
2000
On the characterization of expansion maps for self-affine tilings. Zbl 1200.52012
Kenyon, Richard; Solomyak, Boris
2010
Dimers, tilings and trees. Zbl 1055.05032
Kenyon, Richard W.; Sheffield, Scott
2004
Rigidity of planar tilings. Zbl 0758.52015
Kenyon, Richard
1992
Principal minors and rhombus tilings. Zbl 1310.15011
Kenyon, Richard; Pemantle, Robin
2014
The space of circular planar electrical networks. Zbl 1357.90022
Kenyon, Richard W.; Wilson, David B.
2017
Combinatorics of tripartite boundary connections for trees and dimers. Zbl 1225.60020
Kenyon, Richard W.; Wilson, David B.
2009
Random curves on surfaces induced from the Laplacian determinant. Zbl 1377.82037
2017
On the asymptotics of constrained exponential random graphs. Zbl 1396.05101
Kenyon, Richard; Yin, Mei
2017
The dimer model. Zbl 1202.82004
Kenyon, R.
2010
A note on tiling with integer-sided rectangles. Zbl 0846.05019
Kenyon, Richard
1996
Hausdorff dimension of the multiplicative golden mean shift. Zbl 1259.37016
Kenyon, Richard; Peres, Yuval; Solomyak, Boris
2011
Tiling a rectangle with the fewest squares. Zbl 0873.05033
Kenyon, Richard
1996
Geometry of self-affine tiles. II. Zbl 0938.52018
Kenyon, Richard; Li, Jie; Strichartz, Robert S.; Wang, Yang
1999
Branched polymers. Zbl 1229.82172
Kenyon, Richard; Winkler, Peter
2009
Double-dimers, the Ising model and the hexahedron recurrence. Zbl 1294.05023
Kenyon, Richard; Pemantle, Robin
2013
What is $$\dots$$ a dimer? Zbl 1142.82339
Kenyon, Richard; Okounkov, Andrei
2005
Inflationary tilings with a similarity structure. Zbl 0817.52021
Kenyon, Richard
1994
On the asymptotics of dimers on tori. Zbl 1354.82007
Kenyon, Richard W.; Sun, Nike; Wilson, David B.
2016
Fixed-energy harmonic functions. Zbl 1404.05034
Abrams, Aaron; Kenyon, Richard
2017
The phases of large networks with edge and triangle constraints. Zbl 1386.82015
2017
Permutations with fixed pattern densities. Zbl 1442.05008
Kenyon, Richard; Král’, Daniel; Radin, Charles; Winkler, Peter
2020
Bipodal structure in oversaturated random graphs. Zbl 1404.05196
2018
Topological mixing for substitutions on two letters. Zbl 1087.37006
Kenyon, Richard; Sadun, Lorenzo; Solomyak, Boris
2005
Determinantal spanning forests on planar graphs. Zbl 1416.82010
Kenyon, Richard
2019
Report 12/2006: Discrete Differential Geometry (March 5th – March 11th, 2006). Zbl 1109.52300
2006
A group of paths in $$\mathbb{R}^2$$. Zbl 0896.52024
Kenyon, Richard
1996
Critical resonance in the non-intersecting lattice path model. Zbl 1071.82016
Kenyon, Richard W.; Wilson, David B.
2004
Tilings of convex polygons. Zbl 0873.52020
Kenyon, Richard
1997
Random two-component spanning forests. Zbl 1334.82011
Kassel, Adrien; Kenyon, Richard; Wu, Wei
2015
Right-angled hexagon tilings of the hyperbolic plane. Zbl 1467.60015
Kenyon, Richard
2020
How to take short cuts. Zbl 0760.52002
Kenyon, Claire; Kenyon, Richard
1992
Monotone loop models and rational resonance. Zbl 1232.60010
Hammond, Alan; Kenyon, Richard
2011
Limit shapes for the asymmetric five vertex model. Zbl 1467.82012
de Gier, Jan; Kenyon, Richard; Watson, Samuel S.
2021
Limit shapes for the asymmetric five vertex model. Zbl 1467.82012
de Gier, Jan; Kenyon, Richard; Watson, Samuel S.
2021
Permutations with fixed pattern densities. Zbl 1442.05008
Kenyon, Richard; Král&rsquo;, Daniel; Radin, Charles; Winkler, Peter
2020
Right-angled hexagon tilings of the hyperbolic plane. Zbl 1467.60015
Kenyon, Richard
2020
Bipolar orientations on planar maps and $$\mathrm{SLE}_{12}$$. Zbl 1466.60170
Kenyon, Richard; Miller, Jason; Sheffield, Scott; Wilson, David B.
2019
Determinantal spanning forests on planar graphs. Zbl 1416.82010
Kenyon, Richard
2019
Bipodal structure in oversaturated random graphs. Zbl 1404.05196
2018
Multipodal structure and phase transitions in large constrained graphs. Zbl 1376.82029
2017
The space of circular planar electrical networks. Zbl 1357.90022
Kenyon, Richard W.; Wilson, David B.
2017
Random curves on surfaces induced from the Laplacian determinant. Zbl 1377.82037
2017
On the asymptotics of constrained exponential random graphs. Zbl 1396.05101
Kenyon, Richard; Yin, Mei
2017
Fixed-energy harmonic functions. Zbl 1404.05034
Abrams, Aaron; Kenyon, Richard
2017
The phases of large networks with edge and triangle constraints. Zbl 1386.82015
2017
Double-dimers, the Ising model and the hexahedron recurrence. Zbl 1325.05136
Kenyon, Richard; Pemantle, Robin
2016
On the asymptotics of dimers on tori. Zbl 1354.82007
Kenyon, Richard W.; Sun, Nike; Wilson, David B.
2016
Spanning trees of graphs on surfaces and the intensity of loop-erased random walk on planar graphs. Zbl 1327.60033
Kenyon, Richard W.; Wilson, David B.
2015
Random two-component spanning forests. Zbl 1334.82011
Kassel, Adrien; Kenyon, Richard; Wu, Wei
2015
Conformal invariance of loops in the double-dimer model. Zbl 1283.05218
Kenyon, Richard
2014
Principal minors and rhombus tilings. Zbl 1310.15011
Kenyon, Richard; Pemantle, Robin
2014
Dimers and cluster integrable systems. (Dimères et systèmes intégrables de type cluster.) Zbl 1288.37025
Goncharov, Alexander B.; Kenyon, Richard
2013
Double-dimers, the Ising model and the hexahedron recurrence. Zbl 1294.05023
Kenyon, Richard; Pemantle, Robin
2013
Hausdorff dimension for fractals invariant under multiplicative integers. Zbl 1277.37023
Kenyon, Richard; Peres, Yuval; Solomyak, Boris
2012
The Laplacian on planar graphs and graphs on surfaces. Zbl 1316.05087
Kenyon, R.
2012
Spanning forests and the vector bundle Laplacian. Zbl 1252.82029
Kenyon, Richard
2011
Boundary partitions in trees and dimers. Zbl 1230.60009
Kenyon, Richard W.; Wilson, David B.
2011
Double-dimer pairings and skew Young diagrams. Zbl 1247.05025
Kenyon, Richard W.; Wilson, David B.
2011
Hausdorff dimension of the multiplicative golden mean shift. Zbl 1259.37016
Kenyon, Richard; Peres, Yuval; Solomyak, Boris
2011
Monotone loop models and rational resonance. Zbl 1232.60010
Hammond, Alan; Kenyon, Richard
2011
On the characterization of expansion maps for self-affine tilings. Zbl 1200.52012
Kenyon, Richard; Solomyak, Boris
2010
The dimer model. Zbl 1202.82004
Kenyon, R.
2010
Lectures on dimers. Zbl 1180.82001
Kenyon, Richard
2009
Combinatorics of tripartite boundary connections for trees and dimers. Zbl 1225.60020
Kenyon, Richard W.; Wilson, David B.
2009
Branched polymers. Zbl 1229.82172
Kenyon, Richard; Winkler, Peter
2009
Height fluctuations in the honeycomb dimer model. Zbl 1157.82028
Kenyon, Richard
2008
Limit shapes and the complex Burgers equation. Zbl 1156.14029
Kenyon, Richard; Okounkov, Andrei
2007
Dimers and amoebae. Zbl 1154.82007
Kenyon, Richard; Okounkov, Andrei; Sheffield, Scott
2006
Planar dimers and Harnack curves. Zbl 1100.14047
Kenyon, Richard; Okounkov, Andrei
2006
Report 12/2006: Discrete Differential Geometry (March 5th – March 11th, 2006). Zbl 1109.52300
2006
Rhombic embeddings of planar quad-graphs. Zbl 1062.05045
Kenyon, Richard; Schlenker, Jean-Marc
2005
What is $$\dots$$ a dimer? Zbl 1142.82339
Kenyon, Richard; Okounkov, Andrei
2005
Topological mixing for substitutions on two letters. Zbl 1087.37006
Kenyon, Richard; Sadun, Lorenzo; Solomyak, Boris
2005
An introduction to the dimer model. Zbl 1076.82025
Kenyon, Richard
2004
Dimers, tilings and trees. Zbl 1055.05032
Kenyon, Richard W.; Sheffield, Scott
2004
Critical resonance in the non-intersecting lattice path model. Zbl 1071.82016
Kenyon, Richard W.; Wilson, David B.
2004
Constructing rational maps from subdivision rules. Zbl 1077.37037
Cannon, J. W.; Floyd, W. J.; Kenyon, R.; Parry, W. R.
2003
The Laplacian and Dirac operators on critical planar graphs. Zbl 1038.58037
Kenyon, R.
2002
A variational principle for domino tilings. Zbl 1037.82016
Cohn, Henry; Kenyon, Richard; Propp, James
2001
Dominos and the Gaussian free field. Zbl 1034.82021
Kenyon, Richard
2001
The low-temperature expansion of the Wulff crystal in the 3D Ising model. Zbl 1013.82010
Cerf, Raphaël; Kenyon, Richard
2001
Conformal invariance of domino tiling. Zbl 1043.52014
Kenyon, Richard
2000
The asymptotic determinant of the discrete Laplacian. Zbl 0982.05013
Kenyon, Richard
2000
Billiards on rational-angled triangles. Zbl 0967.37019
Kenyon, Richard; Smillie, John
2000
Trees and matchings. Zbl 0939.05066
Kenyon, Richard W.; Propp, James G.; Wilson, David B.
2000
Long-range properties of spanning trees. Zbl 0977.82011
Kenyon, Richard
2000
The planar dimer model boundary: A survey. Zbl 1026.82007
Kenyon, Richard
2000
Geometry of self-affine tiles. II. Zbl 0938.52018
Kenyon, Richard; Li, Jie; Strichartz, Robert S.; Wang, Yang
1999
Arithmetic construction of sofic partitions of hyperbolic toral automorphisms. Zbl 0915.58077
Kenyon, Richard; Vershik, Anatoly
1998
Tilings and discrete Dirichlet problems. Zbl 0938.60070
Kenyon, Richard
1998
Local statistics of lattice dimers. Zbl 0893.60047
Kenyon, Richard
1997
Hyperbolic geometry. Zbl 0899.51012
Cannon, James W.; Floyd, William J.; Kenyon, Richard; Parry, Walter R.
1997
Projecting the one-dimensional Sierpiński gasket. Zbl 0871.28006
Kenyon, Richard
1997
Hausdorff dimensions of sofic affine-invariant sets. Zbl 1075.37503
Kenyon, R.; Peres, Y.
1997
Tilings of convex polygons. Zbl 0873.52020
Kenyon, Richard
1997
Measures of full dimension on affine-invariant sets. Zbl 0851.58028
Kenyon, R.; Peres, Y.
1996
The construction of self-similar tilings. Zbl 0866.52014
Kenyon, R.
1996
A note on tiling with integer-sided rectangles. Zbl 0846.05019
Kenyon, Richard
1996
Tiling a rectangle with the fewest squares. Zbl 0873.05033
Kenyon, Richard
1996
A group of paths in $$\mathbb{R}^2$$. Zbl 0896.52024
Kenyon, Richard
1996
Inflationary tilings with a similarity structure. Zbl 0817.52021
Kenyon, Richard
1994
Tiling a polygon with parallelograms. Zbl 0778.52012
Kenyon, Richard
1993
Self-replicating tilings. Zbl 0770.52013
Kenyon, Richard
1992
Tiling a polygon with rectangles. Zbl 0915.05039
Kenyon, Claire; Kenyon, Richard
1992
Rigidity of planar tilings. Zbl 0758.52015
Kenyon, Richard
1992
How to take short cuts. Zbl 0760.52002
Kenyon, Claire; Kenyon, Richard
1992
Intersecting random translates of invariant Cantor sets. Zbl 0745.28012
Kenyon, Richard; Peres, Yuval
1991
all top 5

#### Cited by 1,136 Authors

 32 Kenyon, Richard W. 16 Borodin, Alexei 15 Gorin, Vadim 14 Peres, Yuval 14 Toninelli, Fabio Lucio 13 Miller, Jason P. 13 Rémila, Eric 12 Gwynne, Ewain 12 Sheffield, Scott 12 Solomyak, Boris 12 Xi, Lifeng 11 Boutillier, Cédric 11 Reshetikhin, Nikolai Yu. 11 Wilson, David Bruce 10 de Tilière, Béatrice 10 Lawler, Gregory Francis 10 Pak, Igor 9 Johansson, Kurt 8 Benjamini, Itai 8 Bobenko, Alexander Ivanovich 8 Franco, Sebastián 8 Fraser, Jonathan MacDonald 8 Hubert, Pascal 8 Lai, Tri 8 Lau, Kasing 8 Schmidt, Thomas A. 7 Chhita, Sunil 7 Fan, Ai Hua 7 Li, Wenxia 7 Okun’kov, Andreĭ Yur’evich 7 Rao, Hui 7 Vince, Andrew 7 Yamazaki, Masahito 6 Barnsley, Michael Fielding 6 Bodini, Olivier 6 Cimasoni, David 6 Ciucu, Mihai 6 Di Francesco, Philippe 6 Dubédat, Julien 6 Duminil-Copin, Hugo 6 Floyd, William J. 6 He, Xinggang 6 Laslier, Benoît 6 Panova, Greta 6 Parry, Walter R. 6 Pronko, Andrei G. 6 Pylyavskyy, Pavlo 6 Schramm, Oded 6 Shlosman, Senya B. 6 Smirnov, Stanislav Konstantinovich 6 Thuswaldner, Jörg Maximilian 6 Yan, Weigen 6 Yayama, Yuki 5 Akiyama, Shigeki 5 Barge, Marcy M. 5 Berthé, Valérie 5 Cannon, James W. 5 Colomo, Filippo 5 Corwin, Ivan 5 Duits, Maurice 5 Feng, De-Jun 5 Grimmett, Geoffrey R. 5 Gui, Yongxin 5 Hutchcroft, Tom 5 Kassel, Adrien 5 Lis, Marcin 5 Manolescu, Ioan 5 McMullen, Curtis Tracy 5 Möller, Martin 5 Peltola, Eveliina 5 Seong, Rak-Kyeong 5 Sridhar, Ananth 5 Tassy, Martin 5 Trnka, Jaroslav 5 Webb, Christian 5 Werner, Wendelin 5 Wright, Alex 4 Adler, Mark 4 Beffara, Vincent 4 Berestycki, Nathanaël 4 Bleher, Pavel M. 4 Bocklandt, Raf 4 Bufetov, Alekseĭ Igor’evich 4 Caputo, Pietro 4 Chelkak, Dmitry 4 Fernique, Thomas 4 Giuliani, Alessandro 4 Grassi, Alba 4 Gu, Jie 4 Günther, Felix 4 Herrmann, Enrico 4 Holden, Nina 4 Hooper, W. Patrick 4 Ito, Shunji 4 Járai, Antal A. 4 Jiang, Kan 4 Jørgensen, Palle E. T. 4 Kong, Derong 4 Kytölä, Kalle 4 Li, Zhongyang ...and 1,036 more Authors
all top 5

#### Cited in 226 Serials

 82 Communications in Mathematical Physics 46 Journal of Statistical Physics 42 The Annals of Probability 40 Journal of High Energy Physics 33 Transactions of the American Mathematical Society 33 Probability Theory and Related Fields 31 Advances in Mathematics 22 Journal of Mathematical Physics 21 Ergodic Theory and Dynamical Systems 21 Discrete & Computational Geometry 18 Duke Mathematical Journal 17 Israel Journal of Mathematics 17 Journal of Combinatorial Theory. Series A 16 Theoretical Computer Science 15 The Electronic Journal of Combinatorics 14 Inventiones Mathematicae 13 Journal of Mathematical Analysis and Applications 13 Annales de l’Institut Fourier 12 Geometriae Dedicata 12 Electronic Journal of Probability 11 Journal of Statistical Mechanics: Theory and Experiment 10 Discrete Mathematics 10 Letters in Mathematical Physics 10 Journal of the American Mathematical Society 10 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 10 Annals of Mathematics. Second Series 9 Acta Mathematica 9 Proceedings of the American Mathematical Society 9 Advances in Applied Mathematics 9 Conformal Geometry and Dynamics 8 Journal of Geometry and Physics 8 Bulletin of the American Mathematical Society. New Series 7 Nuclear Physics. B 7 The Annals of Applied Probability 7 Geometry & Topology 7 Journal of Physics A: Mathematical and Theoretical 6 European Journal of Combinatorics 6 Linear Algebra and its Applications 6 Journal of Mathematical Sciences (New York) 6 Selecta Mathematica. New Series 6 Annales Henri Poincaré 6 Journal of Modern Dynamics 6 Probability Surveys 6 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 5 Communications on Pure and Applied Mathematics 5 Mathematische Annalen 5 Monatshefte für Mathematik 5 Topology and its Applications 5 SIAM Journal on Discrete Mathematics 5 Experimental Mathematics 5 Fractals 5 Discrete and Continuous Dynamical Systems 5 Journal of the European Mathematical Society (JEMS) 5 Algebraic Combinatorics 4 Discrete Applied Mathematics 4 Journal d’Analyse Mathématique 4 Nonlinearity 4 Theoretical and Mathematical Physics 4 Journal für die Reine und Angewandte Mathematik 4 Mathematische Zeitschrift 4 Graphs and Combinatorics 4 Geometric and Functional Analysis. GAFA 4 Stochastic Processes and their Applications 4 Applied and Computational Harmonic Analysis 4 Combinatorics, Probability and Computing 4 Annales Academiae Scientiarum Fennicae. Mathematica 4 Acta Mathematica Sinica. English Series 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Science China. Mathematics 3 The Mathematical Intelligencer 3 Journal of the London Mathematical Society. Second Series 3 Mathematische Nachrichten 3 Proceedings of the London Mathematical Society. Third Series 3 Journal of Theoretical Probability 3 Science in China. Series A 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Indagationes Mathematicae. New Series 3 Boletim da Sociedade Brasileira de Matemática. Nova Série 3 Séminaire Lotharingien de Combinatoire 3 Mathematical Physics, Analysis and Geometry 3 Annals of Combinatorics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Complex Analysis and Operator Theory 2 International Journal of Modern Physics B 2 American Mathematical Monthly 2 Linear and Multilinear Algebra 2 Physica A 2 Rocky Mountain Journal of Mathematics 2 Applied Mathematics and Computation 2 Glasgow Mathematical Journal 2 Illinois Journal of Mathematics 2 Indiana University Mathematics Journal 2 Publications Mathématiques 2 Journal of Combinatorial Theory. Series B 2 Journal of Functional Analysis 2 Michigan Mathematical Journal 2 Nagoya Mathematical Journal 2 Osaka Journal of Mathematics 2 Statistics & Probability Letters 2 Acta Applicandae Mathematicae ...and 126 more Serials
all top 5

#### Cited in 56 Fields

 304 Statistical mechanics, structure of matter (82-XX) 275 Combinatorics (05-XX) 275 Probability theory and stochastic processes (60-XX) 217 Dynamical systems and ergodic theory (37-XX) 163 Measure and integration (28-XX) 155 Convex and discrete geometry (52-XX) 93 Quantum theory (81-XX) 82 Algebraic geometry (14-XX) 70 Functions of a complex variable (30-XX) 62 Number theory (11-XX) 47 Computer science (68-XX) 41 Manifolds and cell complexes (57-XX) 40 Partial differential equations (35-XX) 37 Several complex variables and analytic spaces (32-XX) 36 Linear and multilinear algebra; matrix theory (15-XX) 31 Group theory and generalizations (20-XX) 27 Differential geometry (53-XX) 24 Commutative algebra (13-XX) 24 Geometry (51-XX) 23 Relativity and gravitational theory (83-XX) 17 Associative rings and algebras (16-XX) 17 Difference and functional equations (39-XX) 17 Numerical analysis (65-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 16 General topology (54-XX) 16 Global analysis, analysis on manifolds (58-XX) 14 Potential theory (31-XX) 14 Operator theory (47-XX) 13 Special functions (33-XX) 10 Nonassociative rings and algebras (17-XX) 9 Ordinary differential equations (34-XX) 8 Algebraic topology (55-XX) 7 Real functions (26-XX) 7 Functional analysis (46-XX) 7 Operations research, mathematical programming (90-XX) 6 Topological groups, Lie groups (22-XX) 6 Statistics (62-XX) 6 Mechanics of particles and systems (70-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Information and communication theory, circuits (94-XX) 4 General and overarching topics; collections (00-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Abstract harmonic analysis (43-XX) 4 Fluid mechanics (76-XX) 4 Biology and other natural sciences (92-XX) 3 Field theory and polynomials (12-XX) 3 Mechanics of deformable solids (74-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Integral transforms, operational calculus (44-XX) 1 Mathematical logic and foundations (03-XX) 1 Approximations and expansions (41-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX)

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