2023 - 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
His primary areas of study are Combinatorics, Discrete mathematics, Markov chain, Markov chain mixing time and Random walk. Specifically, his work in Combinatorics is concerned with the study of Random permutation. His Discrete mathematics research incorporates themes from Sufficient statistic, Simple and Markov process.
The concepts of his Markov chain study are interwoven with issues in Statistical physics, Mathematical analysis, Pure mathematics and Markov chain Monte Carlo. His work carried out in the field of Mathematical analysis brings together such families of science as Random matrix and Haar measure. His Random walk study integrates concerns from other disciplines, such as Eigenvalues and eigenvectors and Stationary distribution.
Persi Diaconis focuses on Combinatorics, Discrete mathematics, Markov chain, Eigenvalues and eigenvectors and Random walk. Persi Diaconis is involved in the study of Combinatorics that focuses on Symmetric group in particular. As part of his studies on Discrete mathematics, Persi Diaconis often connects relevant areas like Limit.
The various areas that Persi Diaconis examines in his Markov chain study include Statistical physics and Applied mathematics. His Random walk research includes themes of Pure mathematics and Stationary distribution. His research integrates issues of Examples of Markov chains and Additive Markov chain in his study of Markov chain mixing time.
His primary areas of investigation include Combinatorics, Discrete mathematics, Markov chain, Eigenvalues and eigenvectors and Pure mathematics. His biological study spans a wide range of topics, including Central limit theorem and Group. Persi Diaconis has researched Discrete mathematics in several fields, including Exponential family, Expected value, Sample size determination and Importance sampling.
The study incorporates disciplines such as Chain, Quantum group, Boundary and Applied mathematics in addition to Markov chain. His work deals with themes such as Ergodic theory and Markov chain Monte Carlo, which intersect with Applied mathematics. His research in Eigenvalues and eigenvectors intersects with topics in Matrix and Absorbing Markov chain.
His scientific interests lie mostly in Combinatorics, Discrete mathematics, Markov chain, Sample size determination and Importance sampling. His studies deal with areas such as Bivariate analysis and Asymptotic distribution as well as Combinatorics. The Discrete mathematics study combines topics in areas such as Exponential family, Central limit theorem and Mathematical proof.
His study in Exponential family is interdisciplinary in nature, drawing from both Geometric measure theory, Sampling, Manifold, Goodness of fit and Conditional probability distribution. His Markov chain research is multidisciplinary, incorporating perspectives in Markov chain Monte Carlo, Kravchuk polynomials, Multinomial distribution, Multivariate statistics and Orthogonal polynomials. His study on Sample size determination also encompasses disciplines like
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Group representations in probability and statistics
Computer-Intensive Methods in Statistics
Persi Diaconis;Bradley Efron.
Scientific American (1983)
On the histogram as a density estimator:L 2 theory
David Freedman;Persi Diaconis.
Probability Theory and Related Fields (1981)
Geometric Bounds for Eigenvalues of Markov Chains
Persi Diaconis;Daniel Stroock.
Annals of Applied Probability (1991)
On the Consistency of Bayes Estimates
Persi Diaconis;David Freedman.
Annals of Statistics (1986)
Conjugate Priors for Exponential Families
Persi Diaconis;Donald Ylvisaker.
Annals of Statistics (1979)
Algebraic algorithms for sampling from conditional distributions
Persi Diaconis;Bernd Sturmfels.
Annals of Statistics (1998)
Asymptotics of Graphical Projection Pursuit
Persi Diaconis;David Freedman.
Annals of Statistics (1984)
Spearman's Footrule as a Measure of Disarray
Persi Diaconis;R. L. Graham.
Journal of the royal statistical society series b-methodological (1977)
Fastest mixing Markov chain on a graph
Stephen Boyd;Persi Diaconis;Lin Xiao.
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