Richard W. Kenyon - Author Profile

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Kenyon, Richard W.

Author ID:	kenyon.richard-w
Published as:	Kenyon, Richard; Kenyon, Richard W.; Kenyon, R. more...less
Homepage:	https://gauss.math.yale.edu/~rwk25/
External Links:	MGP · Wikidata
Videos:	carmin.tv

Documents Indexed:	102 Publications since 1991, including 1 Book and 7 Additional arXiv Preprints
	4 Contributions as Editor · 1 Further Contribution
Co-Authors:	54 Co-Authors with 70 Joint Publications
	2,355 Co-Co-Authors

all top 5

Co-Authors

35	single-authored
11	Wilson, David Bruce
5	Peres, Yuval
4	Bobenko, Alexander Ivanovich
4	Okun’kov, Andreĭ Yur’evich
4	Radin, Charles
4	Sadun, Lorenzo A.
4	Sheffield, Scott
4	Solomyak, Boris
3	Kenyon, Claire M.
3	Pemantle, Robin
3	Prause, István
3	Propp, James Gary
3	Ren, Kui
3	Ziegler, Günter Matthias
2	Cannon, James W.
2	Floyd, William J.
2	Goncharov, Alexander Borisovich
2	Kassel, Adrien
2	Kontsevich, Maxim
2	Lam, Wai Yeung
2	Miller, Jason P.
2	Ovenhouse, Nicholas
2	Parry, Walter R.
2	Pohoata, Cosmin
2	Schröder, Peter
2	Shi, Haolin
2	Sullivan, John Matthew
2	Winkler, Peter M.
2	Yin, Mei
1	Alevy, Ian M.
1	Brenier, Yann
1	Cerf, Raphaël
1	Cohn, Henry Lee
1	de Gier, Jan
1	Douglas, Daniel Charles
1	Ehrlich, Philip
1	Gorin, Vadim
1	Hammond, Alan
1	Hersh, Patricia
1	Kauffman, Louis Hirsch
1	Král’, Daniel
1	Lagarias, Jeffrey C.
1	Li, Jie
1	Ogievetsky, Oleg V.
1	Ramassamy, Sanjay
1	Russkikh, Marianna
1	Ryba, Alexander J. E.
1	Sawin, William F.
1	Schlenker, Jean-Marc
1	Shlosman, Senya B.
1	Smillie, John
1	Strichartz, Robert Stephen
1	Sun, Nike
1	Vershik, Anatoliĭ Moiseevich
1	Wang, Yang
1	Watson, Samuel S.
1	Wu, Wei
1	Yi, Ren

all top 5

Serials

7	The Annals of Probability
5	Ergodic Theory and Dynamical Systems
4	Communications in Mathematical Physics
4	Inventiones Mathematicae
4	Journal of Combinatorial Theory. Series A
4	Transactions of the American Mathematical Society
4	Oberwolfach Reports
3	Israel Journal of Mathematics
3	Probability Theory and Related Fields
3	Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
3	The Electronic Journal of Combinatorics
3	Journal of Physics A: Mathematical and Theoretical
2	Acta Mathematica
2	Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2	Commentarii Mathematici Helvetici
2	Duke Mathematical Journal
2	Discrete & Computational Geometry
2	Journal of the American Mathematical Society
2	Notices of the American Mathematical Society
1	American Mathematical Monthly
1	Journal of Mathematical Physics
1	Journal of Statistical Physics
1	Annales de l’Institut Fourier
1	Functional Analysis and its Applications
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	Revista de la Unión Matemática Argentina
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	Mathematical Physics, Analysis and Geometry
1	Conformal Geometry and Dynamics
1	Annals of Mathematics. Second Series
1	Methodology and Computing in Applied Probability
1	Comptes Rendus. Mathématique. Académie des Sciences, Paris
1	SMF Journée Annuelle
1	Discrete Analysis
1	Probability and Mathematical Physics

all top 5

Fields

47	Statistical mechanics, structure of matter (82-XX)
41	Combinatorics (05-XX)
27	Convex and discrete geometry (52-XX)
23	Probability theory and stochastic processes (60-XX)
15	Dynamical systems and ergodic theory (37-XX)
7	Measure and integration (28-XX)
7	Differential geometry (53-XX)
7	Manifolds and cell complexes (57-XX)
6	General and overarching topics; collections (00-XX)
4	Algebraic geometry (14-XX)
3	Number theory (11-XX)
3	Associative rings and algebras (16-XX)
3	Group theory and generalizations (20-XX)
3	Computer science (68-XX)
2	History and biography (01-XX)
2	Order, lattices, ordered algebraic structures (06-XX)
2	Commutative algebra (13-XX)
2	Linear and multilinear algebra; matrix theory (15-XX)
2	Partial differential equations (35-XX)
2	Geometry (51-XX)
2	Mathematics education (97-XX)
1	Mathematical logic and foundations (03-XX)
1	Functions of a complex variable (30-XX)
1	Several complex variables and analytic spaces (32-XX)
1	Difference and functional equations (39-XX)
1	Calculus of variations and optimal control; optimization (49-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)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

83 Publications have been cited 2,699 times in 1,540 Documents	Cited by ▼	Year ▼
Dimers and amoebae. Zbl 1154.82007 Kenyon, Richard; Okounkov, Andrei; Sheffield, Scott	266	2006
A variational principle for domino tilings. Zbl 1037.82016 Cohn, Henry; Kenyon, Richard; Propp, James	158	2001
Limit shapes and the complex Burgers equation. Zbl 1156.14029 Kenyon, Richard; Okounkov, Andrei	142	2007
Dimers and cluster integrable systems. (Dimères et systèmes intégrables de type cluster.) Zbl 1288.37025 Goncharov, Alexander B.; Kenyon, Richard	122	2013
Dominos and the Gaussian free field. Zbl 1034.82021 Kenyon, Richard	105	2001
Lectures on dimers. Zbl 1180.82001 Kenyon, Richard	103	2009
The Laplacian and Dirac operators on critical planar graphs. Zbl 1038.58037 Kenyon, R.	91	2002
Local statistics of lattice dimers. Zbl 0893.60047 Kenyon, Richard	88	1997
Conformal invariance of domino tiling. Zbl 1043.52014 Kenyon, Richard	84	2000
Hyperbolic geometry. Zbl 0899.51012 Cannon, James W.; Floyd, William J.; Kenyon, Richard; Parry, Walter R.	76	1997
Planar dimers and Harnack curves. Zbl 1100.14047 Kenyon, Richard; Okounkov, Andrei	75	2006
The asymptotic determinant of the discrete Laplacian. Zbl 0982.05013 Kenyon, Richard	70	2000
Measures of full dimension on affine-invariant sets. Zbl 0851.58028 Kenyon, R.; Peres, Y.	66	1996
Billiards on rational-angled triangles. Zbl 0967.37019 Kenyon, Richard; Smillie, John	63	2000
Self-replicating tilings. Zbl 0770.52013 Kenyon, Richard	61	1992
Trees and matchings. Zbl 0939.05066 Kenyon, Richard W.; Propp, James G.; Wilson, David B.	52	2000
Height fluctuations in the honeycomb dimer model. Zbl 1157.82028 Kenyon, Richard	51	2008
Spanning forests and the vector bundle Laplacian. Zbl 1252.82029 Kenyon, Richard	49	2011
An introduction to the dimer model. Zbl 1076.82025 Kenyon, Richard	49	2004
Rhombic embeddings of planar quad-graphs. Zbl 1062.05045 Kenyon, Richard; Schlenker, Jean-Marc	46	2005
The construction of self-similar tilings. Zbl 0866.52014 Kenyon, R.	45	1996
Projecting the one-dimensional Sierpiński gasket. Zbl 0871.28006 Kenyon, Richard	45	1997
The low-temperature expansion of the Wulff crystal in the 3D Ising model. Zbl 1013.82010 Cerf, Raphaël; Kenyon, Richard	45	2001
Bipolar orientations on planar maps and \(\mathrm{SLE}_{12}\). Zbl 1466.60170 Kenyon, Richard; Miller, Jason; Sheffield, Scott; Wilson, David B.	38	2019
Boundary partitions in trees and dimers. Zbl 1230.60009 Kenyon, Richard W.; Wilson, David B.	36	2011
Conformal invariance of loops in the double-dimer model. Zbl 1283.05218 Kenyon, Richard	30	2014
Hausdorff dimensions of sofic affine-invariant sets. Zbl 1075.37503 Kenyon, R.; Peres, Y.	30	1997
Arithmetic construction of sofic partitions of hyperbolic toral automorphisms. Zbl 0915.58077 Kenyon, Richard; Vershik, Anatoly	30	1998
Intersecting random translates of invariant Cantor sets. Zbl 0745.28012 Kenyon, Richard; Peres, Yuval	29	1991
Multipodal structure and phase transitions in large constrained graphs. Zbl 1376.82029 Kenyon, Richard; Radin, Charles; Ren, Kui; Sadun, Lorenzo	28	2017
Tiling a polygon with rectangles. Zbl 0915.05039 Kenyon, Claire; Kenyon, Richard	27	1992
Tiling a polygon with parallelograms. Zbl 0778.52012 Kenyon, Richard	24	1993
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.	23	2015
Hausdorff dimension for fractals invariant under multiplicative integers. Zbl 1277.37023 Kenyon, Richard; Peres, Yuval; Solomyak, Boris	22	2012
Long-range properties of spanning trees. Zbl 0977.82011 Kenyon, Richard	21	2000
Double-dimer pairings and skew Young diagrams. Zbl 1247.05025 Kenyon, Richard W.; Wilson, David B.	20	2011
Double-dimers, the Ising model and the hexahedron recurrence. Zbl 1325.05136 Kenyon, Richard; Pemantle, Robin	19	2016
Rigidity of planar tilings. Zbl 0758.52015 Kenyon, Richard	17	1992
The Laplacian on planar graphs and graphs on surfaces. Zbl 1316.05087 Kenyon, R.	17	2012
Permutations with fixed pattern densities. Zbl 1442.05008 Kenyon, Richard; Král’, Daniel; Radin, Charles; Winkler, Peter	16	2020
Dimers, tilings and trees. Zbl 1055.05032 Kenyon, Richard W.; Sheffield, Scott	16	2004
Principal minors and rhombus tilings. Zbl 1310.15011 Kenyon, Richard; Pemantle, Robin	15	2014
Random curves on surfaces induced from the Laplacian determinant. Zbl 1377.82037 Kassel, Adrien; Kenyon, Richard	15	2017
Limit shapes for the asymmetric five vertex model. Zbl 1467.82012 de Gier, Jan; Kenyon, Richard; Watson, Samuel S.	14	2021
Tilings and discrete Dirichlet problems. Zbl 0938.60070 Kenyon, Richard	14	1998
Constructing rational maps from subdivision rules. Zbl 1077.37037 Cannon, J. W.; Floyd, W. J.; Kenyon, R.; Parry, W. R.	14	2003
Bipodal structure in oversaturated random graphs. Zbl 1404.05196 Kenyon, Richard; Radin, Charles; Ren, Kui; Sadun, Lorenzo	13	2018
On the asymptotics of constrained exponential random graphs. Zbl 1396.05101 Kenyon, Richard; Yin, Mei	13	2017
The space of circular planar electrical networks. Zbl 1357.90022 Kenyon, Richard W.; Wilson, David B.	12	2017
On the characterization of expansion maps for self-affine tilings. Zbl 1200.52012 Kenyon, Richard; Solomyak, Boris	11	2010
Shellability of face posets of electrical networks and the CW poset property. Zbl 1535.06004 Hersh, Patricia; Kenyon, Richard	10	2021
The planar dimer model boundary: A survey. Zbl 1026.82007 Kenyon, Richard	10	2000
The phases of large networks with edge and triangle constraints. Zbl 1386.82015 Kenyon, Richard; Radin, Charles; Ren, Kui; Sadun, Lorenzo	10	2017
On the asymptotics of dimers on tori. Zbl 1354.82007 Kenyon, Richard W.; Sun, Nike; Wilson, David B.	9	2016
Hausdorff dimension of the multiplicative golden mean shift. Zbl 1259.37016 Kenyon, Richard; Peres, Yuval; Solomyak, Boris	9	2011
Topological mixing for substitutions on two letters. Zbl 1087.37006 Kenyon, Richard; Sadun, Lorenzo; Solomyak, Boris	9	2005
Geometry of self-affine tiles. II. Zbl 0938.52018 Kenyon, Richard; Li, Jie; Strichartz, Robert S.; Wang, Yang	9	1999
The dimer model. Zbl 1202.82004 Kenyon, R.	8	2010
Branched polymers. Zbl 1229.82172 Kenyon, Richard; Winkler, Peter	8	2009
Tiling a rectangle with the fewest squares. Zbl 0873.05033 Kenyon, Richard	8	1996
Combinatorics of tripartite boundary connections for trees and dimers. Zbl 1225.60020 Kenyon, Richard W.; Wilson, David B.	8	2009
A note on tiling with integer-sided rectangles. Zbl 0846.05019 Kenyon, Richard	7	1996
Fixed-energy harmonic functions. Zbl 1404.05034 Abrams, Aaron; Kenyon, Richard	6	2017
Double-dimers, the Ising model and the hexahedron recurrence. Zbl 1294.05023 Kenyon, Richard; Pemantle, Robin	6	2013
What is \(\dots\) a dimer? Zbl 1142.82339 Kenyon, Richard; Okounkov, Andrei	6	2005
Determinantal spanning forests on planar graphs. Zbl 1416.82010 Kenyon, Richard	6	2019
Inflationary tilings with a similarity structure. Zbl 0817.52021 Kenyon, Richard	6	1994
Gradient variational problems in \(\mathbb{R}^2\). Zbl 1502.49003 Kenyon, Richard; Prause, István	6	2022
Dimers and circle patterns. Zbl 1497.82007 Kenyon, Richard; Lam, Wai Yeung; Ramassamy, Sanjay; Russkikh, Marianna	6	2022
A group of paths in \(\mathbb{R}^2\). Zbl 0896.52024 Kenyon, Richard	4	1996
The Green’s function on the double cover of the grid and application to the uniform spanning tree trunk. Zbl 1460.82005 Kenyon, Richard W.; Wilson, David B.	4	2020
The genus-zero five-vertex model. Zbl 1509.82028 Kenyon, Richard; Prause, István	3	2022
How to take short cuts. Zbl 0760.52002 Kenyon, Claire; Kenyon, Richard	3	1992
Report 12/2006: Discrete Differential Geometry (March 5th – March 11th, 2006). Zbl 1109.52300	3	2006
Tilings of convex polygons. Zbl 0873.52020 Kenyon, Richard	3	1997
Parking functions: from combinatorics to probability. Zbl 1515.60043 Kenyon, Richard; Yin, Mei	3	2023
Random two-component spanning forests. Zbl 1334.82011 Kassel, Adrien; Kenyon, Richard; Wu, Wei	3	2015
Monotone loop models and rational resonance. Zbl 1232.60010 Hammond, Alan; Kenyon, Richard	2	2011
Erratum: Rigidity of planar tilings. Zbl 0780.52019 Kenyon, Richard	2	1993
A family of minimal and renormalizable rectangle exchange maps. Zbl 1493.37049 Alevy, Ian; Kenyon, Richard; Yi, Ren	2	2021
Critical resonance in the non-intersecting lattice path model. Zbl 1071.82016 Kenyon, Richard W.; Wilson, David B.	2	2004
Right-angled hexagon tilings of the hyperbolic plane. Zbl 1467.60015 Kenyon, Richard	1	2020
Limit shapes from harmonicity: dominos and the five vertex model. Zbl 07796334 Kenyon, Richard; Prause, István	1	2024
Limit shapes from harmonicity: dominos and the five vertex model. Zbl 07796334 Kenyon, Richard; Prause, István	1	2024
Parking functions: from combinatorics to probability. Zbl 1515.60043 Kenyon, Richard; Yin, Mei	3	2023
Gradient variational problems in \(\mathbb{R}^2\). Zbl 1502.49003 Kenyon, Richard; Prause, István	6	2022
Dimers and circle patterns. Zbl 1497.82007 Kenyon, Richard; Lam, Wai Yeung; Ramassamy, Sanjay; Russkikh, Marianna	6	2022
The genus-zero five-vertex model. Zbl 1509.82028 Kenyon, Richard; Prause, István	3	2022
Limit shapes for the asymmetric five vertex model. Zbl 1467.82012 de Gier, Jan; Kenyon, Richard; Watson, Samuel S.	14	2021
Shellability of face posets of electrical networks and the CW poset property. Zbl 1535.06004 Hersh, Patricia; Kenyon, Richard	10	2021
A family of minimal and renormalizable rectangle exchange maps. Zbl 1493.37049 Alevy, Ian; Kenyon, Richard; Yi, Ren	2	2021
Permutations with fixed pattern densities. Zbl 1442.05008 Kenyon, Richard; Král’, Daniel; Radin, Charles; Winkler, Peter	16	2020
The Green’s function on the double cover of the grid and application to the uniform spanning tree trunk. Zbl 1460.82005 Kenyon, Richard W.; Wilson, David B.	4	2020
Right-angled hexagon tilings of the hyperbolic plane. Zbl 1467.60015 Kenyon, Richard	1	2020
Bipolar orientations on planar maps and \(\mathrm{SLE}_{12}\). Zbl 1466.60170 Kenyon, Richard; Miller, Jason; Sheffield, Scott; Wilson, David B.	38	2019
Determinantal spanning forests on planar graphs. Zbl 1416.82010 Kenyon, Richard	6	2019
Bipodal structure in oversaturated random graphs. Zbl 1404.05196 Kenyon, Richard; Radin, Charles; Ren, Kui; Sadun, Lorenzo	13	2018
Multipodal structure and phase transitions in large constrained graphs. Zbl 1376.82029 Kenyon, Richard; Radin, Charles; Ren, Kui; Sadun, Lorenzo	28	2017
Random curves on surfaces induced from the Laplacian determinant. Zbl 1377.82037 Kassel, Adrien; Kenyon, Richard	15	2017
On the asymptotics of constrained exponential random graphs. Zbl 1396.05101 Kenyon, Richard; Yin, Mei	13	2017
The space of circular planar electrical networks. Zbl 1357.90022 Kenyon, Richard W.; Wilson, David B.	12	2017
The phases of large networks with edge and triangle constraints. Zbl 1386.82015 Kenyon, Richard; Radin, Charles; Ren, Kui; Sadun, Lorenzo	10	2017
Fixed-energy harmonic functions. Zbl 1404.05034 Abrams, Aaron; Kenyon, Richard	6	2017
Double-dimers, the Ising model and the hexahedron recurrence. Zbl 1325.05136 Kenyon, Richard; Pemantle, Robin	19	2016
On the asymptotics of dimers on tori. Zbl 1354.82007 Kenyon, Richard W.; Sun, Nike; Wilson, David B.	9	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.	23	2015
Random two-component spanning forests. Zbl 1334.82011 Kassel, Adrien; Kenyon, Richard; Wu, Wei	3	2015
Conformal invariance of loops in the double-dimer model. Zbl 1283.05218 Kenyon, Richard	30	2014
Principal minors and rhombus tilings. Zbl 1310.15011 Kenyon, Richard; Pemantle, Robin	15	2014
Dimers and cluster integrable systems. (Dimères et systèmes intégrables de type cluster.) Zbl 1288.37025 Goncharov, Alexander B.; Kenyon, Richard	122	2013
Double-dimers, the Ising model and the hexahedron recurrence. Zbl 1294.05023 Kenyon, Richard; Pemantle, Robin	6	2013
Hausdorff dimension for fractals invariant under multiplicative integers. Zbl 1277.37023 Kenyon, Richard; Peres, Yuval; Solomyak, Boris	22	2012
The Laplacian on planar graphs and graphs on surfaces. Zbl 1316.05087 Kenyon, R.	17	2012
Spanning forests and the vector bundle Laplacian. Zbl 1252.82029 Kenyon, Richard	49	2011
Boundary partitions in trees and dimers. Zbl 1230.60009 Kenyon, Richard W.; Wilson, David B.	36	2011
Double-dimer pairings and skew Young diagrams. Zbl 1247.05025 Kenyon, Richard W.; Wilson, David B.	20	2011
Hausdorff dimension of the multiplicative golden mean shift. Zbl 1259.37016 Kenyon, Richard; Peres, Yuval; Solomyak, Boris	9	2011
Monotone loop models and rational resonance. Zbl 1232.60010 Hammond, Alan; Kenyon, Richard	2	2011
On the characterization of expansion maps for self-affine tilings. Zbl 1200.52012 Kenyon, Richard; Solomyak, Boris	11	2010
The dimer model. Zbl 1202.82004 Kenyon, R.	8	2010
Lectures on dimers. Zbl 1180.82001 Kenyon, Richard	103	2009
Branched polymers. Zbl 1229.82172 Kenyon, Richard; Winkler, Peter	8	2009
Combinatorics of tripartite boundary connections for trees and dimers. Zbl 1225.60020 Kenyon, Richard W.; Wilson, David B.	8	2009
Height fluctuations in the honeycomb dimer model. Zbl 1157.82028 Kenyon, Richard	51	2008
Limit shapes and the complex Burgers equation. Zbl 1156.14029 Kenyon, Richard; Okounkov, Andrei	142	2007
Dimers and amoebae. Zbl 1154.82007 Kenyon, Richard; Okounkov, Andrei; Sheffield, Scott	266	2006
Planar dimers and Harnack curves. Zbl 1100.14047 Kenyon, Richard; Okounkov, Andrei	75	2006
Report 12/2006: Discrete Differential Geometry (March 5th – March 11th, 2006). Zbl 1109.52300	3	2006
Rhombic embeddings of planar quad-graphs. Zbl 1062.05045 Kenyon, Richard; Schlenker, Jean-Marc	46	2005
Topological mixing for substitutions on two letters. Zbl 1087.37006 Kenyon, Richard; Sadun, Lorenzo; Solomyak, Boris	9	2005
What is \(\dots\) a dimer? Zbl 1142.82339 Kenyon, Richard; Okounkov, Andrei	6	2005
An introduction to the dimer model. Zbl 1076.82025 Kenyon, Richard	49	2004
Dimers, tilings and trees. Zbl 1055.05032 Kenyon, Richard W.; Sheffield, Scott	16	2004
Critical resonance in the non-intersecting lattice path model. Zbl 1071.82016 Kenyon, Richard W.; Wilson, David B.	2	2004
Constructing rational maps from subdivision rules. Zbl 1077.37037 Cannon, J. W.; Floyd, W. J.; Kenyon, R.; Parry, W. R.	14	2003
The Laplacian and Dirac operators on critical planar graphs. Zbl 1038.58037 Kenyon, R.	91	2002
A variational principle for domino tilings. Zbl 1037.82016 Cohn, Henry; Kenyon, Richard; Propp, James	158	2001
Dominos and the Gaussian free field. Zbl 1034.82021 Kenyon, Richard	105	2001
The low-temperature expansion of the Wulff crystal in the 3D Ising model. Zbl 1013.82010 Cerf, Raphaël; Kenyon, Richard	45	2001
Conformal invariance of domino tiling. Zbl 1043.52014 Kenyon, Richard	84	2000
The asymptotic determinant of the discrete Laplacian. Zbl 0982.05013 Kenyon, Richard	70	2000
Billiards on rational-angled triangles. Zbl 0967.37019 Kenyon, Richard; Smillie, John	63	2000
Trees and matchings. Zbl 0939.05066 Kenyon, Richard W.; Propp, James G.; Wilson, David B.	52	2000
Long-range properties of spanning trees. Zbl 0977.82011 Kenyon, Richard	21	2000
The planar dimer model boundary: A survey. Zbl 1026.82007 Kenyon, Richard	10	2000
Geometry of self-affine tiles. II. Zbl 0938.52018 Kenyon, Richard; Li, Jie; Strichartz, Robert S.; Wang, Yang	9	1999
Arithmetic construction of sofic partitions of hyperbolic toral automorphisms. Zbl 0915.58077 Kenyon, Richard; Vershik, Anatoly	30	1998
Tilings and discrete Dirichlet problems. Zbl 0938.60070 Kenyon, Richard	14	1998
Local statistics of lattice dimers. Zbl 0893.60047 Kenyon, Richard	88	1997
Hyperbolic geometry. Zbl 0899.51012 Cannon, James W.; Floyd, William J.; Kenyon, Richard; Parry, Walter R.	76	1997
Projecting the one-dimensional Sierpiński gasket. Zbl 0871.28006 Kenyon, Richard	45	1997
Hausdorff dimensions of sofic affine-invariant sets. Zbl 1075.37503 Kenyon, R.; Peres, Y.	30	1997
Tilings of convex polygons. Zbl 0873.52020 Kenyon, Richard	3	1997
Measures of full dimension on affine-invariant sets. Zbl 0851.58028 Kenyon, R.; Peres, Y.	66	1996
The construction of self-similar tilings. Zbl 0866.52014 Kenyon, R.	45	1996
Tiling a rectangle with the fewest squares. Zbl 0873.05033 Kenyon, Richard	8	1996
A note on tiling with integer-sided rectangles. Zbl 0846.05019 Kenyon, Richard	7	1996
A group of paths in \(\mathbb{R}^2\). Zbl 0896.52024 Kenyon, Richard	4	1996
Inflationary tilings with a similarity structure. Zbl 0817.52021 Kenyon, Richard	6	1994
Tiling a polygon with parallelograms. Zbl 0778.52012 Kenyon, Richard	24	1993
Erratum: Rigidity of planar tilings. Zbl 0780.52019 Kenyon, Richard	2	1993
Self-replicating tilings. Zbl 0770.52013 Kenyon, Richard	61	1992
Tiling a polygon with rectangles. Zbl 0915.05039 Kenyon, Claire; Kenyon, Richard	27	1992
Rigidity of planar tilings. Zbl 0758.52015 Kenyon, Richard	17	1992
How to take short cuts. Zbl 0760.52002 Kenyon, Claire; Kenyon, Richard	3	1992
Intersecting random translates of invariant Cantor sets. Zbl 0745.28012 Kenyon, Richard; Peres, Yuval	29	1991

all cited Publications top 5 cited Publications

all top 5

Cited by 1,592 Authors

47	Kenyon, Richard W.
20	Toninelli, Fabio Lucio
18	Borodin, Alexei
18	Sheffield, Scott
17	Gorin, Vadim
17	Miller, Jason P.
16	Boutillier, Cédric
16	Gwynne, Ewain
15	Peres, Yuval
14	de Tilière, Béatrice
14	Pak, Igor
14	Rémila, Eric
14	Reshetikhin, Nikolai Yu.
14	Solomyak, Boris
13	Johansson, Kurt
12	Chhita, Sunil
12	Cimasoni, David
12	Wilson, David Bruce
12	Xi, Lifeng
11	Di Francesco, Philippe
11	Fraser, Jonathan MacDonald
11	Galashin, Pavel
11	Lawler, Gregory Francis
11	Pronko, Andrei G.
10	Ban, Jungchao
10	Franco, Sebastián
10	Hubert, Pascal
10	Ruelle, Philippe
10	Schmidt, Thomas A.
10	Sun, Xin
9	Holden, Nina
9	Lai, Tri
9	Lau, Kasing
9	Yamazaki, Masahito
8	Benjamini, Itai
8	Bobenko, Alexander Ivanovich
8	Borga, Jacopo
8	Ciucu, Mihai
8	Duits, Maurice
8	Feng, De-Jun
8	Hu, Wen-Guei
8	Kassel, Adrien
8	Laslier, Benoît
8	Okun’kov, Andreĭ Yur’evich
8	Panova, Greta
8	Petrov, Leonid
8	Pylyavskyy, Pavlo
8	Rao, Hui
8	Thuswaldner, Jörg Maximilian
7	Chelkak, Dmitry
7	Colomo, Filippo
7	Dubédat, Julien
7	Duminil-Copin, Hugo
7	Fan, Ai Hua
7	Giuliani, Alessandro
7	He, Yang-Hui Evariste
7	Lam, Thomas F.
7	Li, Wenxia
7	Lis, Marcin
7	Peltola, Eveliina
7	Ramassamy, Sanjay
7	Sadun, Lorenzo A.
7	Schramm, Oded
7	Tassy, Martin
7	Vince, Andrew
7	Wu, Hao
7	Yan, Weigen
6	Adler, Mark
6	Aggarwal, Amol
6	Akiyama, Shigeki
6	Barnsley, Michael Fielding
6	Berestycki, Nathanaël
6	Bodini, Olivier
6	Floyd, William J.
6	He, Xinggang
6	Hutchcroft, Tom
6	Lai, Guanyu
6	Manolescu, Ioan
6	Mariño, Marcos
6	McMullen, Curtis Tracy
6	Parry, Walter R.
6	Peled, Ron
6	Radin, Charles
6	Seong, Rak-Kyeong
6	Shiraishi, Daisuke
6	Shlosman, Senya B.
6	Smirnov, Stanislav Konstantinovich
6	Sridhar, Ananth
6	Taggi, Lorenzo
6	van Moerbeke, Pierre
6	Yayama, Yuki
6	Yin, Mei
5	Abenda, Simonetta
5	Barge, Marcy M.
5	Beffara, Vincent
5	Berthé, Valérie
5	Cannon, James W.
5	Corwin, Ivan Z.
5	Duse, Erik
5	Fusy, Éric
...and 1,492 more Authors

all top 5

Cited in 285 Serials

108	Communications in Mathematical Physics
55	The Annals of Probability
55	Journal of High Energy Physics
52	Journal of Statistical Physics
47	Probability Theory and Related Fields
40	Advances in Mathematics
39	Transactions of the American Mathematical Society
32	Ergodic Theory and Dynamical Systems
30	Journal of Physics A: Mathematical and Theoretical
29	Journal of Mathematical Physics
25	The Electronic Journal of Combinatorics
25	Journal of Statistical Mechanics: Theory and Experiment
24	Discrete & Computational Geometry
23	Duke Mathematical Journal
21	Journal of Combinatorial Theory. Series A
21	Electronic Journal of Probability
20	Israel Journal of Mathematics
18	Journal of Mathematical Analysis and Applications
17	Theoretical Computer Science
16	Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
15	Annales de l’Institut Fourier
15	Geometriae Dedicata
15	Inventiones Mathematicae
15	The Annals of Applied Probability
13	Advances in Applied Mathematics
13	Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions
12	Letters in Mathematical Physics
12	Selecta Mathematica. New Series
11	Discrete Mathematics
11	Journal of the American Mathematical Society
10	Annals of Mathematics. Second Series
9	Acta Mathematica
9	Proceedings of the American Mathematical Society
9	Proceedings of the London Mathematical Society. Third Series
9	Bulletin of the American Mathematical Society. New Series
9	Journal of Mathematical Sciences (New York)
9	Séminaire Lotharingien de Combinatoire
9	Conformal Geometry and Dynamics
9	Geometry & Topology
8	Communications on Pure and Applied Mathematics
8	Nuclear Physics. B
8	Journal of Geometry and Physics
8	Mathematische Annalen
8	European Journal of Combinatorics
8	Journal of the European Mathematical Society (JEMS)
8	Oberwolfach Reports
8	Probability Surveys
7	Nonlinearity
7	Journal of the London Mathematical Society. Second Series
7	Experimental Mathematics
7	Combinatorics, Probability and Computing
7	Fractals
7	Journal of Modern Dynamics
7	Algebraic Combinatorics
7	Combinatorial Theory
6	Discrete Applied Mathematics
6	Mathematische Zeitschrift
6	SIAM Journal on Discrete Mathematics
6	Linear Algebra and its Applications
6	Stochastic Processes and their Applications
6	Discrete and Continuous Dynamical Systems
6	Annales Henri Poincaré
6	SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
6	Probability and Mathematical Physics
5	Journal d’Analyse Mathématique
5	Physica A
5	The Mathematical Intelligencer
5	Monatshefte für Mathematik
5	Topology and its Applications
5	Graphs and Combinatorics
5	Journal of Theoretical Probability
5	Random Structures & Algorithms
5	The Journal of Geometric Analysis
5	Geometric and Functional Analysis. GAFA
5	Indagationes Mathematicae. New Series
5	Journal of Knot Theory and its Ramifications
5	Mathematical Physics, Analysis and Geometry
5	Science China. Mathematics
4	Theoretical and Mathematical Physics
4	Applied Mathematics and Computation
4	Bulletin de la Société Mathématique de France
4	Indiana University Mathematics Journal
4	Journal für die Reine und Angewandte Mathematik
4	Mathematische Nachrichten
4	Applied and Computational Harmonic Analysis
4	Annales Academiae Scientiarum Fennicae. Mathematica
4	Annals of Combinatorics
4	Acta Mathematica Sinica. English Series
4	Forum of Mathematics, Sigma
4	Journal of Fractal Geometry
3	Advances in Applied Probability
3	Linear and Multilinear Algebra
3	Annali di Matematica Pura ed Applicata. Serie Quarta
3	Bulletin of the London Mathematical Society
3	Functional Analysis and its Applications
3	Journal of Algebra
3	Journal of Functional Analysis
3	Memoirs of the American Mathematical Society
3	Statistics & Probability Letters
3	Acta Mathematicae Applicatae Sinica. English Series
...and 185 more Serials

all top 5

Cited in 57 Fields

452	Statistical mechanics, structure of matter (82-XX)
427	Combinatorics (05-XX)
406	Probability theory and stochastic processes (60-XX)
291	Dynamical systems and ergodic theory (37-XX)
212	Measure and integration (28-XX)
212	Convex and discrete geometry (52-XX)
148	Quantum theory (81-XX)
135	Algebraic geometry (14-XX)
91	Functions of a complex variable (30-XX)
76	Number theory (11-XX)
69	Computer science (68-XX)
63	Manifolds and cell complexes (57-XX)
56	Partial differential equations (35-XX)
51	Linear and multilinear algebra; matrix theory (15-XX)
51	Differential geometry (53-XX)
46	Several complex variables and analytic spaces (32-XX)
45	Group theory and generalizations (20-XX)
42	Commutative algebra (13-XX)
40	Geometry (51-XX)
31	Associative rings and algebras (16-XX)
31	Difference and functional equations (39-XX)
30	Relativity and gravitational theory (83-XX)
26	Harmonic analysis on Euclidean spaces (42-XX)
26	Global analysis, analysis on manifolds (58-XX)
22	Potential theory (31-XX)
20	Operator theory (47-XX)
20	General topology (54-XX)
20	Numerical analysis (65-XX)
19	Special functions (33-XX)
17	Ordinary differential equations (34-XX)
14	Order, lattices, ordered algebraic structures (06-XX)
13	Nonassociative rings and algebras (17-XX)
13	Information and communication theory, circuits (94-XX)
12	Statistics (62-XX)
12	Operations research, mathematical programming (90-XX)
11	General and overarching topics; collections (00-XX)
10	Topological groups, Lie groups (22-XX)
10	Abstract harmonic analysis (43-XX)
10	Functional analysis (46-XX)
9	Algebraic topology (55-XX)
9	Mechanics of particles and systems (70-XX)
9	Biology and other natural sciences (92-XX)
7	Real functions (26-XX)
6	Integral transforms, operational calculus (44-XX)
6	Calculus of variations and optimal control; optimization (49-XX)
6	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5	Mathematical logic and foundations (03-XX)
5	Mechanics of deformable solids (74-XX)
5	Fluid mechanics (76-XX)
4	History and biography (01-XX)
3	Field theory and polynomials (12-XX)
3	Category theory; homological algebra (18-XX)
2	Optics, electromagnetic theory (78-XX)
1	Approximations and expansions (41-XX)
1	Astronomy and astrophysics (85-XX)
1	Systems theory; control (93-XX)
1	Mathematics education (97-XX)

Citations by Year

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