Richard Kenyon | Academic Influence

Richard Kenyon's AcademicInfluence.com Rankings

Richard Kenyon

Mathematics

#2075

World Rank

#3260

Historical Rank

#830

USA Rank

Measure Theory

#2944

World Rank

#3497

Historical Rank

#852

USA Rank

mathematics Degrees

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Mathematics

Richard Kenyon's Degrees

PhD Mathematics Princeton University

Why Is Richard Kenyon Influential?

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According to Wikipedia, Richard W. Kenyon is an American mathematician known for his contributions in combinatorics and probability theory. He is the Erastus L. DeForest Professor of Mathematics at Yale University. Kenyon graduated from Rice University and then earned his PhD under supervision of William Thurston at Princeton University. He won the Rollo Davidson Prize in 2001 and the Loève Prize in 2007. In 2014 Kenyon was chosen as a Simons Investigator and inducted into the American Academy of Arts and Sciences. In 2018, he was an invited speaker at the International Congress of Mathematicians in Rio de Janeiro.

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Richard Kenyon's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Dimers and amoebae (2003) (511)
A variational principle for domino tilings (2000) (324)
Limit shapes and the complex Burgers equation (2005) (247)
Dominos and the Gaussian Free Field (2000) (235)
Dimers and cluster integrable systems (2011) (228)
Local statistics of lattice dimers (2001) (221)
Conformal invariance of domino tiling (1999) (210)
Lectures on Dimers (2009) (197)
An introduction to the dimer model (2003) (169)
Discrete Differential Geometry (2008) (158)
Planar dimers and Harnack curves (2003) (153)
The asymptotic determinant of the discrete Laplacian (2000) (152)
Billiards on rational-angled triangles (2000) (149)
Trees and Matchings (1999) (133)
Measures of full dimension on affine-invariant sets (1996) (128)
Height Fluctuations in the Honeycomb Dimer Model (2004) (115)
Projecting the one-dimensional Sierpinski gasket (1997) (109)
Spanning forests and the vector bundle Laplacian (2010) (107)
The Low-Temperature Expansion of the Wulff Crystal in the 3D Ising Model (2001) (99)
Rhombic embeddings of planar quad-graphs (2004) (97)
The construction of self-similar tilings (1995) (94)
The Laplacian and Dirac operators on critical planar graphs (2002) (91)
GEOMETRY OF SELF-AFFINE TILES II (1999) (88)
Arithmetic construction of sofic partitions of hyperbolic toral automorphisms (1998) (83)
Tiling a polygon with rectangles (1992) (70)
Conformal Invariance of Loops in the Double-Dimer Model (2011) (67)
Hausdorff dimensions of sofic affine-invariant sets (1996) (66)
Boundary Partitions in Trees and Dimers (2006) (65)
Bipolar orientations on planar maps and SLE$_{12}$ (2015) (65)
Multipodal Structure and Phase Transitions in Large Constrained Graphs (2014) (60)
Intersecting random translates of invariant Cantor sets (1991) (59)
Long-range properties of spanning trees (2000) (52)
Tiling a polygon with parallelograms (1993) (47)
Double-dimers, the Ising model and the hexahedron recurrence (2013) (46)
Dimers, tilings and trees (2003) (44)
Spanning trees of graphs on surfaces and the intensity of loop-erased random walk on planar graphs (2011) (41)
Double-Dimer Pairings and Skew Young Diagrams (2010) (40)
The Planar Dimer Model With Boundary: A Survey (1998) (39)
Rigidity of planar tilings (1992) (35)
Branched Polymers (2007) (35)
Hausdorff dimension for fractals invariant under multiplicative integers (2011) (35)
The Laplacian on planar graphs and graphs on surfaces (2012) (34)
Constructing rational maps from subdivision rules (2003) (33)
Permutations with fixed pattern densities (2015) (32)
Rhombic embeddings of planar graphs with faces of degree 4 (2003) (31)
Tilings and discrete Dirichlet problems (1998) (31)
Random curves on surfaces induced from the Laplacian determinant (2012) (30)
Spanning trees of graphs on surfaces and the intensity of loop-erased random walk on Z^2 (2011) (27)
Bipodal structure in oversaturated random graphs (2015) (27)
On the Characterization of Expansion Maps for Self-Affine Tilings (2008) (27)
The phases of large networks with edge and triangle constraints (2017) (26)
On the asymptotics of constrained exponential random graphs (2014) (25)
Inflationary tilings with a similarity structure (1994) (24)
The Space of Circular Planar Electrical Networks (2014) (23)
Dimers and circle patterns (2018) (21)
Limit Shapes for the Asymmetric Five Vertex Model (2018) (20)
A Note on Tiling with Integer-Sided Rectangles (1994) (20)
Hausdorff dimension of the multiplicative golden mean shift (2011) (19)
Tiling a Rectangle with the Fewest Squares (1994) (18)
Six-vertex model and Schramm-Loewner evolution. (2016) (17)
Principal minors and rhombus tilings (2014) (16)
Loop-Erased Random Walks (1999) (15)
On the asymptotics of dimers on tori (2013) (15)
Combinatorics of Tripartite Boundary Connections for Trees and Dimers (2008) (14)
Critical resonance in the non-intersecting lattice path model (2001) (11)
Topological mixing for substitutions on two letters (2004) (11)
Determinantal spanning forests on planar graphs (2017) (11)
Fixed-energy harmonic functions (2015) (10)
Shellability of face posets of electrical networks and the CW poset property (2018) (10)
A family of minimal and renormalizable rectangle exchange maps (2018) (9)
How to take short cuts (1991) (8)
Random two-component spanning forests (2012) (8)
BIPOLAR ORIENTATIONS ON PLANAR MAPS AND SLE (2018) (8)
Tiling with Squares and Square-tileable Surfaces (7)
Tilings of convex polygons (1997) (7)
A variational principle for permutations (2015) (6)
A group of paths in ℝ (1996) (5)
Bipolar orientations on planar maps and $\mathrm{SLE}_{12}$ (2019) (5)
The Green’s function on the double cover of the grid and application to the uniform spanning tree trunk (2017) (5)
Parking Functions: From Combinatorics to Probability (2021) (4)
Tiling by bars (2014) (3)
Gradient variational problems in R2 (2022) (3)
Rigidity of planar tilings (1992) (3)
Dimer Problems (2005) (3)
The inverse spectral map for dimers (2022) (3)
On the uniform cycle-rooted spanning tree in Z^2 (2012) (3)
Monotone loop models and rational resonance (2008) (2)
LIMIT SHAPES AND THEIR ANALYTIC PARAMETERIZATIONS (2019) (2)
The genus-zero five-vertex model (2021) (2)
Pseudo-Anosov mappings and toral automorphisms (2019) (1)
Right-Angled Hexagon Tilings of the Hyperbolic Plane (2015) (1)
The Laplacian and ∂̄ operators on critical planar graphs (2008) (1)
Gradient variational problems in $\mathbb{R}^2$ (2020) (1)
Rigidity of planar tilings (Erratum). (1993) (0)
PR ] 6 J un 2 00 8 Monotone loop models and rational resonance (2018) (0)
Holomorphic quadratic differentials on graphs and the chromatic polynomial (2018) (0)
On the asymptotics of dimers on tori (2016) (0)
Hausdorff dimensions of sofic affine-invariant sets (1997) (0)
Double-dimers and the hexahedron recurrence (2013) (0)
eb 2 00 0 Dominos and the Gaussian free field (2008) (0)
Conformal Invariance of Loops in the Double-Dimer Model (2014) (0)
Fall Eastern Sectional Sampler: Which Polygons Can Be Tiled with Squares? (2019) (0)
Shape convergence for aggregate tiles in conformal tilings (2017) (0)
Ju n 20 04 TOPOLOGICAL MIXING FOR SUBSTITUTIONS ON TWO LETTERS (2004) (0)
Bridging the Gap Between Laboratory Lithium Ferro Phopshate Degradation and Field Operation (2017) (0)
The multinomial tiling model (2021) (0)
Dimers, amoebae, Harnack curves (2005) (0)
Multipodal Structure and Phase Transitions in Large Constrained Graphs (2017) (0)
Families of convex tilings (2021) (0)
Dimers, webs, and local systems (2022) (0)
A GROUP OF PATHS IN R (1996) (0)
2 2 Ju l 2 00 5 TOPOLOGICAL MIXING FOR SUBSTITUTIONS ON TWO LETTERS (2005) (0)
2 J un 2 00 7 Boundary Partitions in Trees and Dimers (2007) (0)
Conway’s Mathematics After Conway (2022) (0)
Some combinatorial problems arising in the dimer model (2022) (0)
A pr 2 00 8 Boundary Partitions in Trees and Dimers (2006) (0)

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