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Mathematics

D-Index
41
Citations
7185
World Ranking
1905
National Ranking
813

Research.com Recognitions

  • 2014 - Fellow of the American Academy of Arts and Sciences

Overview

Richard Kenyon is affiliated with Yale University in the United States. Their research primarily focuses on the field of mathematics with a particular concentration on several subfields including Discrete Mathematics and Combinatorics, Mathematical Physics, Computational Theory and Mathematics, Statistics and Probability, and Geometry and Topology.

Their publications cover a range of specialized topics such as Advanced Combinatorial Mathematics, Stochastic processes and statistical mechanics, Random Matrices and Applications, Topological and Geometric Data Analysis, Theoretical and Computational Physics, Markov Chains and Monte Carlo Methods, and Algebraic structures and combinatorial models.

Recent papers authored or co-authored by Richard Kenyon include:

  • Gradient variational problems in R2, 2022, Duke Mathematical Journal
  • Dimers and circle patterns, 2022, Annales Scientifiques de l'École Normale Supérieure
  • Limit Shapes for the Asymmetric Five Vertex Model, 2021, Communications in Mathematical Physics
  • Bulk Electric Power System Risks From Coordinated Edge Devices, 2021, IEEE Open Access Journal of Power and Energy
  • Shellability of face posets of electrical networks and the CW poset property, 2021, Advances in Applied Mathematics

The venues where Richard Kenyon frequently publishes include:

  • arXiv (Cornell University)
  • Duke Mathematical Journal
  • Annales Scientifiques de l'École Normale Supérieure
  • Communications in Mathematical Physics
  • IEEE Open Access Journal of Power and Energy

Frequent collaborators in their research work are:

  • István Prause
  • Nicholas Ovenhouse
  • Mei Yin
  • Cosmin Pohoata
  • Maxim Kontsevich

Richard Kenyon was named a Fellow of the American Academy of Arts and Sciences in 2014.

Best Publications

  • Dimers and amoebae

    Richard Kenyon;Andrei Okounkov;Scott Sheffield

  • A variational principle for domino tilings

    Henry Cohn;Henry Cohn;Richard Kenyon;James Propp

  • Limit shapes and the complex Burgers equation

    Richard W. Kenyon;Andrei Okounkov

  • Dimers and cluster integrable systems

    Alexander B. Goncharov;Richard Kenyon

  • Dominos and the Gaussian Free Field

    Richard Kenyon

  • An introduction to the dimer model

    Richard Kenyon

  • Lectures on Dimers

    Richard Kenyon

  • Local statistics of lattice dimers

    Richard Kenyon

  • The Laplacian and Dirac operators on critical planar graphs

    R. Kenyon

  • Conformal invariance of domino tiling

    Richard Kenyon

  • Trees and matchings.

    Richard W. Kenyon;James Gary Propp;David Bruce Wilson

  • Planar dimers and Harnack curves

    Richard Kenyon;Andrei Okounkov

  • The Laplacian and $ar\partial$ operators on critical planar graphs

    Richard Kenyon

  • Billiards on rational-angled triangles

    Richard Kenyon;John Smillie

  • The asymptotic determinant of the discrete Laplacian

    Richard Kenyon

  • Spanning forests and the vector bundle Laplacian

    Richard Kenyon

  • Measures of full dimension on affine-invariant sets

    R. Kenyon;Y. Peres

  • Height Fluctuations in the Honeycomb Dimer Model

    Richard Kenyon

  • The construction of self-similar tilings

    Richard Kenyon

  • Projecting the one-dimensional Sierpinski gasket

    Richard Kenyon

Frequent Co-Authors

David B. Wilson
David B. Wilson Washington University in St. Louis
Boris Solomyak
Boris Solomyak Bar-Ilan University
Charles Radin
Charles Radin The University of Texas at Austin
Lorenzo Sadun
Lorenzo Sadun The University of Texas at Austin
Andrei Okounkov
Andrei Okounkov Columbia University
Robin Pemantle
Robin Pemantle University of Pennsylvania
Kui Ren
Kui Ren Zhejiang University
Daniel Král
Daniel Král Masaryk University
Peter Winkler
Peter Winkler Dartmouth College

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