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Mathematics
USA
2026

D-Index & Metrics

Mathematics

D-Index
88
Citations
38332
World Ranking
85
National Ranking
50

Research.com Recognitions

  • 2026 - Research.com Mathematics in United States Leader Award
  • 2025 - Research.com Mathematics in United States Leader Award
  • 2013 - Fellow of the American Mathematical Society
  • 2000 - John von Neumann Lecturer
  • 1995 - Member of the National Academy of Sciences
  • 1994 - Fellow of the American Statistical Association (ASA)
  • 1989 - Fellow of the American Academy of Arts and Sciences
  • 1987 - Wald Memorial Lecturer
  • 1982 - Fellow of the MacArthur Foundation

Overview

Persi Diaconis is affiliated with Stanford University in the United States. Their research primarily focuses on mathematics, with substantial contributions in the fields of statistics and probability, mathematical physics, discrete mathematics and combinatorics, artificial intelligence, and computational theory and mathematics.

The main topics covered in their work include:

  • Markov Chains and Monte Carlo Methods
  • Stochastic Processes and Statistical Mechanics
  • Advanced Combinatorial Mathematics
  • Bayesian Methods and Mixture Models
  • Mathematical Dynamics and Fractals
  • Topological and Geometric Data Analysis
  • Random Matrices and Applications

Persi Diaconis has authored several recent papers, among them:

  • "Card guessing with partial feedback", 2021, Combinatorics Probability Computing
  • "A phase transition for repeated averages", 2022, The Annals of Probability
  • "Guessing about Guessing: Practical Strategies for Card Guessing with Feedback", 2022, American Mathematical Monthly
  • "Random walk on unipotent matrix groups", 2021, Annales Scientifiques de l'École Normale Supérieure
  • "Double coset Markov chains", 2023, Forum of Mathematics Sigma

Frequent co-authors with whom Diaconis has collaborated include Sourav Chatterjee, Ron Graham, Sam Spiro, Arun Ram, and Mackenzie Simper.

Publications appear predominantly in venues such as arXiv (Cornell University), Advances in Applied Mathematics, Probability Theory and Related Fields, The Annals of Applied Probability, and Statistical Science.

In addition to articles, they have published at least one book with the Serbian Mathematical Society titled "The Mathematics of Shuffling Cards" (2023).

Throughout their career, Persi Diaconis has received several honors and awards including being named Fellow of the American Mathematical Society (2013), John von Neumann Lecturer (2000), Member of the National Academy of Sciences (1995), Fellow of the American Statistical Association (1994), Fellow of the American Academy of Arts and Sciences (1989), Wald Memorial Lecturer (1987), and Fellow of the MacArthur Foundation (1982).

Best Publications

  • Group representations in probability and statistics

    Persi Diaconis

  • On the histogram as a density estimator:L 2 theory

    David Freedman;Persi Diaconis

  • Computer-Intensive Methods in Statistics

    Persi Diaconis;Bradley Efron

  • Geometric Bounds for Eigenvalues of Markov Chains

    Persi Diaconis;Daniel Stroock

  • On the Consistency of Bayes Estimates

    Persi Diaconis;David Freedman

  • Conjugate Priors for Exponential Families

    Persi Diaconis;Donald Ylvisaker

  • Algebraic algorithms for sampling from conditional distributions

    Persi Diaconis;Bernd Sturmfels

  • Fastest mixing Markov chain on a graph

    Stephen Boyd;Persi Diaconis;Lin Xiao

  • Spearman's Footrule as a Measure of Disarray

    Persi Diaconis;R. L. Graham

  • Asymptotics of Graphical Projection Pursuit

    Persi Diaconis;David Freedman

  • Generating a random permutation with random transpositions

    Persi Diaconis;Mehrdad Shahshahani

  • Iterated random functions

    Persi Diaconis;David Freedman

  • Rejoinder: On the Consistency of Bayes Estimates

    P. Diaconis;D. Freedman

  • Shuffling Cards and Stopping Times

    David Aldous;Persi Diaconis

  • LOGARITHMIC SOBOLEV INEQUALITIES FOR FINITE MARKOV CHAINS

    P. Diaconis;L. Saloff-Coste

  • Finite Exchangeable Sequences

    P. Diaconis;D. Freedman

  • Trailing the Dovetail Shuffle to its Lair

    Dave Bayer;Persi Diaconis

  • Longest increasing subsequences: from patience sorting to the Baik-Deift-Johansson theorem

    David Aldous;Persi Diaconis

  • COMPARISON THEOREMS FOR REVERSIBLE MARKOV CHAINS

    Persi Diaconis;Laurent Saloff-Coste

  • On the Eigenvalues of Random Matrices

    Persi Diaconis;Mehrdad Shahshahani

Frequent Co-Authors

Ron Graham
Ron Graham University of California, San Diego
David A. Freedman
David A. Freedman University of California, Berkeley
Susan Holmes
Susan Holmes Stanford University
Laurent Saloff-Coste
Laurent Saloff-Coste Cornell University
Sourav Chatterjee
Sourav Chatterjee Stanford University
Svante Janson
Svante Janson Uppsala University
Kannan Soundararajan
Kannan Soundararajan Stanford University
Lin Xiao
Lin Xiao Facebook (United States)
Stephen Boyd
Stephen Boyd Stanford University
Steven N. Evans
Steven N. Evans University of California, Berkeley

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