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## Diaconis, Persi Warren

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 Author ID: diaconis.persi-w Published as: Diaconis, P.; Diaconis, Persi; Diaconis, Persi W.; Diaconiş, Persi Homepage: http://statweb.stanford.edu/~cgates/PERSI/ External Links: MGP · Wikidata · dblp · GND · MacTutor
 Documents Indexed: 240 Publications since 1976, including 7 Books Biographic References: 3 Publications
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#### Co-Authors

 32 single-authored 30 Freedman, David A. 19 Saloff-Coste, Laurent 18 Graham, Ronald L. 18 Holmes, Susan P. 9 Miclo, Laurent 9 Shahshahani, Mehrdad M. 7 Aldous, David John 7 Chatterjee, Sourav 7 Fulman, Jason E. 5 Boyd, Stephen Poythress 5 Janson, Svante 5 Xiao, Lin 4 Bump, Daniel 4 Chung Graham, Fan-Rong King 4 Evans, Steven Neil 4 Khare, Kshitij 4 Soundararajan, Kannan 3 Assaf, Sami H. 3 Fill, James Allen 3 Griffiths, Robert C. 3 Hicks, Angela Sue 3 Isaacs, I. Martin 3 Lebeau, Gilles 3 Ram, Arun 3 Rhoades, Robert C. 3 Rockmore, Daniel N. 3 Sturmfels, Bernd 3 Thiem, Nathaniel 2 Aguiar, Marcelo 2 André, Carlos A. M. 2 Benedetti, Carolina 2 Bergeron, Nantel 2 Billera, Louis J. 2 Brown, Kenneth Stephen 2 Chen, Zhi 2 Chern, Bobbie 2 D’Aristotle, Anthony Joseph 2 Efron, Bradley 2 Hendrickson, Anders O. F. 2 Hsiao, Samuel K. 2 Jedwab, Andrea 2 Kane, Daniel M. 2 Karaali, Gizem 2 Keller, Joseph Bishop 2 Lauve, Aaron 2 Le, Tung 2 Li, Huilan 2 Magaard, Kay 2 Marberg, Eric 2 Michel, Laurent 2 Novelli, Jean-Christophe 2 Pang, Amy 2 Parrilo, Pablo A. 2 Perlman, Michael D. 2 Pitman, Jim William 2 Saliola, Franco V. 2 Tevlin, Lenny 2 Thibon, Jean-Yves 2 Venkateswaran, Vidya 2 Vinroot, C. Ryan 2 Widom, Harold 2 Yan, Ning 2 Ylvisaker, Nils Donald 2 Zabell, Sandy L. 2 Zabrocki, Mike 1 Andersen, Hans Christian 1 Arias-Castro, Ery 1 Athanasiadis, Christos A. 1 Bacallado, Sergio 1 Bailey, Rosemary A. 1 Bassetti, Federico 1 Bayer, David Allen 1 Beckett, Laurel A. 1 Benkart, Georgia M. 1 Bhattacharjee, Manish C. 1 Bhattacharya, Bhaswar B. 1 Bickel, Peter John 1 Blitzstein, Joseph K. 1 Bock, Mary Ellen 1 Borodin, Alexei 1 Brillinger, David R. 1 Butler, Steve 1 Champagnat, Nicolas 1 Chen, Yuguo 1 Chernoff, Herman 1 Coram, Marc A. 1 Durrett, Richard Timothy 1 Eaton, Morris L. 1 Eisenbud, David 1 Elworthy, David 1 Erdős, Pál 1 Eriksson, Nicholas 1 Ferguson, Thomas S. 1 Föllmer, Hans 1 Forrester, Peter J. 1 Friedman, Jerome Harold 1 Fulton, William 1 Gamburd, Alexander 1 Gangolli, Anil 1 Goel, Sharad ...and 64 more Co-Authors
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#### Serials

 15 The Annals of Statistics 11 The Annals of Applied Probability 10 The Annals of Probability 10 Advances in Applied Mathematics 8 American Mathematical Monthly 6 Bulletin of the American Mathematical Society. New Series 4 Mathematische Zeitschrift 4 Pacific Journal of Mathematics 4 Statistical Science 4 Journal of Theoretical Probability 4 SIAM Review 3 Scandinavian Journal of Statistics 3 Journal of the American Statistical Association 3 Journal of Applied Probability 3 Transactions of the American Mathematical Society 3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 3 Probability Theory and Related Fields 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Journal of Algebraic Combinatorics 3 Internet Mathematics 2 Discrete Mathematics 2 Journal of Statistical Physics 2 Advances in Mathematics 2 Bulletin of the London Mathematical Society 2 Illinois Journal of Mathematics 2 Inventiones Mathematicae 2 Journal of Algebra 2 Journal of Combinatorial Theory. Series A 2 Sankhyā. Series A. Methods and Techniques 2 Random Structures & Algorithms 2 Proceedings of the National Academy of Sciences of the United States of America 2 Notices of the American Mathematical Society 2 Combinatorics, Probability and Computing 2 Electronic Journal of Probability 2 Bernoulli 2 Probability in the Engineering and Informational Sciences 2 Institute of Mathematical Statistics Lecture Notes - Monograph Series 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 The Canadian Journal of Statistics 1 Communications in Mathematical Physics 1 Indian Journal of Pure & Applied Mathematics 1 Canadian Journal of Mathematics 1 Colloquium Mathematicum 1 Journal of Approximation Theory 1 Journal of Computational and Applied Mathematics 1 Journal of Computer and System Sciences 1 Journal of Mathematical Psychology 1 Journal of Number Theory 1 Journal of Statistical Planning and Inference 1 Mathematische Nachrichten 1 Michigan Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Synthese 1 Rendiconti del Seminario Matematico 1 Journal of Algorithms 1 SIAM Journal on Scientific and Statistical Computing 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Combinatorica 1 Probability and Mathematical Statistics 1 Journal of Symbolic Computation 1 Journal of the American Mathematical Society 1 Geometric and Functional Analysis. GAFA 1 Journal of Physics A: Mathematical and General 1 Journal of the Royal Statistical Society. Series B 1 SIAM Journal on Mathematical Analysis 1 SIAM Journal on Optimization 1 Experimental Mathematics 1 The Electronic Journal of Combinatorics 1 The Journal of Fourier Analysis and Applications 1 Documenta Mathematica 1 Mathematical Physics, Analysis and Geometry 1 Annals of Combinatorics 1 Australian & New Zealand Journal of Statistics 1 The IMA Volumes in Mathematics and its Applications 1 Lecture Notes in Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 The Annals of Applied Statistics 1 Probability Surveys 1 Science China. Mathematics 1 Sankhyā. Series A 1 Random Matrices: Theory and Applications 1 Statistics and Computing 1 Research in the Mathematical Sciences 1 Annals of Mathematical Sciences and Applications 1 Journal de la Société Française de Statistique & Revue de Statistique Appliquée
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#### Fields

 168 Probability theory and stochastic processes (60-XX) 63 Statistics (62-XX) 54 Combinatorics (05-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 26 Group theory and generalizations (20-XX) 25 Numerical analysis (65-XX) 14 Statistical mechanics, structure of matter (82-XX) 13 Number theory (11-XX) 9 Abstract harmonic analysis (43-XX) 9 Computer science (68-XX) 6 General and overarching topics; collections (00-XX) 5 History and biography (01-XX) 5 Convex and discrete geometry (52-XX) 4 Commutative algebra (13-XX) 4 Special functions (33-XX) 4 Integral transforms, operational calculus (44-XX) 4 Operations research, mathematical programming (90-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Sequences, series, summability (40-XX) 3 Operator theory (47-XX) 3 Biology and other natural sciences (92-XX) 3 Information and communication theory, circuits (94-XX) 2 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH

222 Publications have been cited 5,863 times in 3,822 Documents Cited by Year
Group representations in probability and statistics. Zbl 0695.60012
Diaconis, Persi
1988
Geometric bounds for eigenvalues of Markov chains. Zbl 0731.60061
Diaconis, Persi; Stroock, Daniel
1991
Generating a random permutation with random transpositions. Zbl 0485.60006
1981
Iterated random functions. Zbl 0926.60056
Diaconis, Persi; Freedman, David
1999
Algebraic algorithms for sampling from conditional distributions. Zbl 0952.62088
Diaconis, Persi; Sturmfels, Bernd
1998
On the consistency of Bayes estimates. Zbl 0595.62022
Diaconis, Persi; Freedman, David
1986
Conjugate priors for exponential families. Zbl 0405.62011
Diaconis, Persi; Ylvisaker, Donald
1979
Logarithmic Sobolev inequalities for finite Markov chains. Zbl 0867.60043
Diaconis, P.; Saloff-Coste, L.
1996
Shuffling cards and stopping times. Zbl 0603.60006
Aldous, David; Diaconis, Persi
1986
Comparison theorems for reversible Markov chains. Zbl 0799.60058
Diaconis, Persi; Saloff-Coste, Laurent
1993
On the eigenvalues of random matrices. Zbl 0807.15015
1994
Strong stationary times via a new form of duality. Zbl 0723.60083
Diaconis, Persi; Fill, James Allen
1990
Longest increasing subsequences: from patience sorting to the Baik-Deift-Johansson theorem. Zbl 0937.60001
Aldous, David; Diaconis, Persi
1999
Supercharacters and superclasses for algebra groups. Zbl 1137.20008
Diaconis, Persi; Isaacs, I. M.
2008
Strong uniform times and finite random walks. Zbl 0631.60065
Aldous, David; Diaconis, Persi
1987
The cutoff phenomenon in finite Markov chains. Zbl 0849.60070
Diaconis, Persi
1996
Finite exchangeable sequences. Zbl 0434.60034
Diaconis, P.; Freedman, D.
1980
Linear functionals of eigenvalues of random matrices. Zbl 1008.15013
Diaconis, Persi; Evans, Steven N.
2001
Trailing the dovetail shuffle to its lair. Zbl 0757.60003
Bayer, Dave; Diaconis, Persi
1992
Asymptotics of graphical projection pursuit. Zbl 0559.62002
Diaconis, Persi; Freedman, David
1984
Graph limits and exchangeable random graphs. Zbl 1162.60009
Diaconis, Persi; Janson, Svante
2008
A dozen de Finetti-style results in search of a theory. Zbl 0619.60039
Diaconis, Persi; Freedman, David
1987
Spearman’s footrule as a measure of dissarray. Zbl 0375.62045
Diaconis, Persi; Graham, R. L.
1977
Comparison techniques for random walk on finite groups. Zbl 0790.60011
Diaconis, Persi; Saloff-Coste, Laurent
1993
Estimating and understanding exponential random graph models. Zbl 1293.62046
Chatterjee, Sourav; Diaconis, Persi
2013
Sequential Monte Carlo methods for statistical analysis of tables. Zbl 1117.62310
Chen, Yuguo; Diaconis, Persi; Holmes, Susan P.; Liu, Jun S.
2005
De Finetti’s theorem for Markov chains. Zbl 0426.60064
Diaconis, P.; Freedman, D.
1980
Fastest mixing Markov chain on a graph. Zbl 1063.60102
Boyd, Stephen; Diaconis, Persi; Xiao, Lin
2004
Hammersley’s interacting particle process and longest increasing subsequences. Zbl 0836.60107
Aldous, D.; Diaconis, P.
1995
On the histogram as a density estimator: $$L^ 2$$ theory. Zbl 0449.62033
Freedman, David; Diaconis, Persi
1981
Gibbs sampling, exponential families and orthogonal polynomials. Zbl 1327.62058
Diaconis, Persi; Khare, Kshitij; Saloff-Coste, Laurent
2008
Time to reach stationarity in the Bernoulli-Laplace diffusion model. Zbl 0617.60009
1987
Analysis of a nonreversible Markov chain sampler. Zbl 1083.60516
Diaconis, Persi; Holmes, Susan; Neal, Radford M.
2000
Asymptotic analysis of a random walk on a hypercube with many dimensions. Zbl 0723.60085
Diaconis, Persi; Graham, R. L.; Morrison, J. A.
1990
Rectangular arrays with fixed margins. Zbl 0839.05005
Diaconis, Persi; Gangolli, Anil
1995
Patterns in eigenvalues: the 70th Josiah Willard Gibbs lecture. Zbl 1161.15302
Diaconis, Persi
2003
Nash inequalities for finite Markov chains. Zbl 0870.60064
Diaconis, P.; Saloff-Coste, L.
1996
A growth model, a game, an algebra, Lagrange inversion, and characteristic classes. Zbl 0776.60128
Diaconis, P.; Fulton, W.
1991
A generalization of spectral analysis with application to ranked data. Zbl 0688.62005
Diaconis, Persi
1989
The distribution of leading digits and uniform distribution mod 1. Zbl 0364.10025
Diaconis, Persi
1977
Random graphs with a given degree sequence. Zbl 1234.05206
Chatterjee, Sourav; Diaconis, Persi; Sly, Allan
2011
A sequential importance sampling algorithm for generating random graphs with prescribed degrees. Zbl 1238.60084
Blitzstein, Joseph; Diaconis, Persi
2010
Universal cycles for combinatorial structures. Zbl 0776.05001
Chung, Fan; Diaconis, Persi; Graham, Ron
1992
Quantifying prior opinion. Zbl 0673.62004
Diaconis, Persi; Ylvisaker, Donald
1985
Testing for independence in a two-way table: New interpretations of the chi-square statistic. Zbl 0593.62040
1985
The Markov chain Monte Carlo revolution. Zbl 1168.60032
Diaconis, Persi
2009
Random walks and hyperplane arrangements. Zbl 0938.60064
Brown, Kenneth S.; Diaconis, Persi
1998
Closed form summation for classical distributions: variations on a theme of de Moivre. Zbl 0955.60500
Diaconis, Persi; Zabell, Sandy
1991
Updating subjective probability. Zbl 0504.62004
Diaconis, Persi; Zabell, Sandy L.
1982
A super-class walk on upper-triangular matrices. Zbl 1056.60006
Arias-Castro, Ery; Diaconis, Persi; Stanley, Richard
2004
What do we know about the Metropolis algorithm? Zbl 0920.68054
Diaconis, P.; Saloff-Coste, L.
1998
Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras. Zbl 1237.05208
Aguiar, Marcelo; André, Carlos; Benedetti, Carolina; Bergeron, Nantel; Chen, Zhi; Diaconis, Persi; Hendrickson, Anders; Hsiao, Samuel; Isaacs, I. Martin; Jedwab, Andrea; Johnson, Kenneth; Karaali, Gizem; Lauve, Aaron; Le, Tung; Lewis, Stephen; Li, Huilan; Magaard, Kay; Marberg, Eric; Novelli, Jean-Christophe; Pang, Amy; Saliola, Franco; Tevlin, Lenny; Thibon, Jean-Yves; Thiem, Nathaniel; Venkateswaran, Vidya; Vinroot, C. Ryan; Yan, Ning; Zabrocki, Mike
2012
Riffle shuffles, cycles, and descents. Zbl 0828.05003
Diaconis, Persi; McGrath, Michael; Pitman, Jim
1995
Separation cut-offs for birth and death chains. Zbl 1127.60081
Diaconis, Persi; Saloff-Coste, Laurent
2006
The asymmetric one-dimensional constrained Ising model: Rigorous results. Zbl 1006.60095
Aldous, David; Diaconis, Persi
2002
Exchangeable pairs and Poisson approximation. Zbl 1189.60072
Chatterjee, Sourav; Diaconis, Persi; Meckes, Elizabeth
2005
Analysis of systematic scan Metropolis algorithms using Iwahori-Hecke algebra techniques. Zbl 0998.60069
Diaconis, Persi; Ram, Arun
2000
Finite de Finetti theorems in linear models and multivariate analysis. Zbl 0795.62049
Diaconis, Persi W.; Eaton, Morris L.; Lauritzen, Steffen L.
1992
Finite forms of de Finetti’s theorem on exchangeability. Zbl 0397.60005
Diaconis, Persi
1977
On times to quasi-stationarity for birth and death processes. Zbl 1186.60086
Diaconis, Persi; Miclo, Laurent
2009
On inconsistent Bayes estimates of location. Zbl 0595.62023
Diaconis, P.; Freedman, D.
1986
On nonlinear functions of linear combinations. Zbl 0538.41041
1984
Moderate growth and random walk on finite groups. Zbl 0795.60005
Diaconis, P.; Saloff-Coste, L.
1994
Inequalities for linear combinations of gamma random variables. Zbl 0653.60017
Bock, M. E.; Diaconis, P.; Huffer, F. W.; Perlman, M. D.
1987
Supercharacter formulas for pattern groups. Zbl 1205.20006
Diaconis, Persi; Thiem, Nathaniel
2009
Recent progress on de Finetti’s notions of exchangeability. Zbl 0707.60033
Diaconis, P.
1988
Lattice walks and primary decomposition. Zbl 0962.05010
Diaconis, Persi; Eisenbud, David; Sturmfels, Bernd
1998
The fastest mixing Markov process on a graph and a connecting to a maximum variance unfolding problem. Zbl 1109.60324
Sun, Jun; Boyd, Stephen; Xiao, Lin; Diaconis, Persi
2006
Analysis of top to random shuffles. Zbl 0798.60008
Diaconis, Persi; Fill, James Allen; Pitman, Jim
1992
Efficient computation of the Fourier transform on finite groups. Zbl 0709.65125
Diaconis, Persi; Rockmore, Daniel
1990
Threshold graph limits and random threshold graphs. Zbl 1184.68356
Diaconis, Persi; Holmes, Susan; Janson, Svante
2008
Conditional limit theorems for exponential families and finite versions of de Finetti’s theorem. Zbl 0655.60029
Diaconis, P.; Freedman, D. A.
1988
Random walks arising in random number generation. Zbl 0622.60016
Chung, F. R. K.; Diaconis, Persi; Graham, R. L.
1987
Bayesian analysis for reversible Markov chains. Zbl 1118.62085
Diaconis, Persi; Rolles, Silke W. W.
2006
Statistical problems involving permutations with restricted positions. Zbl 1373.62176
Diaconis, Persi; Graham, Ronald; Holmes, Susan P.
2001
The subgroup algorithm for generating uniform random variables. Zbl 1133.60300
1987
The Poisson-Dirichlet law is the unique invariant distribution for uniform split-merge transformations. Zbl 1049.60088
Diaconis, Persi; Mayer-Wolf, Eddy; Zeitouni, Ofer; Zerner, Martin P. W.
2004
Random walks on trees and matchings. Zbl 1007.60071
Diaconis, Persi; Holmes, Susan
2002
Bounds for Kac’s master equation. Zbl 0953.60098
Diaconis, Persi; Saloff-Coste, Laurent
2000
Eigen analysis for some examples of the Metropolis algorithm. Zbl 0789.05091
Diaconis, Persi; Hanlon, Phil
1992
Carries, shuffling, and symmetric functions. Zbl 1172.60002
Diaconis, Persi; Fulman, Jason
2009
Symmetry analysis of reversible Markov chains. Zbl 1087.60057
Boyd, Stephen; Diaconis, Persi; Parrilo, Pablo; Xiao, Lin
2005
The Radon transform on $${\mathbb{Z}}^ k_ 2$$. Zbl 0581.43001
Diaconis, Persi; Graham, R. L.
1985
The mathematics of perfect shuffles. Zbl 0521.05005
Diaconis, Persi; Graham, R. L.; Kantor, William M.
1983
Application of the method of moments in probability and statistics. Zbl 0631.60018
Diaconis, Persi
1987
Sampling from a manifold. Zbl 1356.62015
Diaconis, Persi; Holmes, Susan; Shahshahani, Mehrdad
2013
Geometric analysis for the Metropolis algorithm on Lipschitz domains. Zbl 1227.60093
Diaconis, Persi; Lebeau, Gilles; Michel, Laurent
2011
On adding a list of numbers (and other one-dependent determinantal processes). Zbl 1230.05292
Borodin, Alexei; Diaconis, Persi; Fulman, Jason
2010
Functions of random walks on hyperplane arrangements. Zbl 1239.60071
2010
Random matrices, magic squares and matching polynomials. Zbl 1050.05011
Diaconis, Persi; Gamburd, Alex
2004
Mathematical developments from the analysis of riffle shuffling. Zbl 1026.60005
Diaconis, Persi
2003
Walks on generating sets of Abelian groups. Zbl 0847.60081
Diaconis, P.; Saloff-Coste, L.
1996
Carries, shuffling, and an amazing matrix. Zbl 1229.60011
Diaconis, Persi; Fulman, Jason
2009
On fixed points of permutations. Zbl 1192.20001
Diaconis, Persi; Fulman, Jason; Guralnick, Robert
2008
Dynamical bias in the coin toss. Zbl 05167724
Diaconis, Persi; Holmes, Susan; Montgomery, Richard
2007
Matchings and phylogenetic trees. Zbl 0908.92023
Diaconis, Persi W.; Holmes, Susan P.
1998
An application of Harnack inequalities to random walk on nilpotent quotients. Zbl 0889.60008
Diaconis, Persi; Saloff-Coste, Laurent
1995
Bayesian numerical analysis. Zbl 0671.65117
Diaconis, Persi
1988
Fastest mixing Markov chain on graphs with symmetries. Zbl 1189.05072
Boyd, Stephen; Diaconis, Persi; Parrilo, Pablo; Xiao, Lin
2009
Horseshoes in multidimensional scaling and local kernel methods. Zbl 1149.62316
Diaconis, Persi; Goel, Sharad; Holmes, Susan
2008
Sequential importance sampling for estimating the number of perfect matchings in bipartite graphs: an ongoing conversation with Laci. Zbl 1443.05156
Diaconis, Persi
2019
The sample size required in importance sampling. Zbl 1391.65008
Chatterjee, Sourav; Diaconis, Persi
2018
Ten great ideas about chance. Zbl 1386.60007
Diaconis, Persi; Skyrms, Brian
2018
Probabilizing Fibonacci numbers. Zbl 1431.11027
Diaconis, Persi
2018
Hurwitz and the origins of random matrix theory in mathematics. Zbl 1398.11119
Diaconis, Persi; Forrester, Peter J.
2017
A central limit theorem for a new statistic on permutations. Zbl 1390.60082
Chatterjee, Sourav; Diaconis, Persi
2017
Probabilizing parking functions. Zbl 1373.60019
Diaconis, Persi; Hicks, Angela
2017
Universal limit theorems in graph coloring problems with connections to extremal combinatorics. Zbl 1360.05051
Bhattacharya, Bhaswar B.; Diaconis, Persi; Mukherjee, Sumit
2017
Useful bounds on the extreme eigenvalues and vectors of matrices for Harper’s operators. Zbl 1387.60010
Bump, Daniel; Diaconis, Persi; Hicks, Angela; Miclo, Laurent; Widom, Harold
2017
An exercise(?) in Fourier analysis on the Heisenberg group. Zbl 1369.60028
Bump, Daniel; Diaconis, Persi; Hicks, Angela; Miclo, Laurent; Widom, Harold
2017
Estimates on the amplitude of the first Dirichlet eigenvector in discrete frameworks. Zbl 1342.60131
Diaconis, Persi; Miclo, Laurent
2016
On quantitative convergence to quasi-stationarity. Zbl 1335.60142
Diaconis, Persi; Miclo, Laurent
2015
Central limit theorems for some set partition statistics. Zbl 1327.60030
Chern, Bobbie; Diaconis, Persi; Kane, Daniel M.; Rhoades, Robert C.
2015
Magical mathematics. The mathematical ideas that animate great magic tricks. With a foreword by Martin Gardner. Reprint of the 2012 hardback edition. Zbl 1323.00007
Diaconis, Persi; Graham, Ron
2015
De Finetti priors using Markov chain Monte Carlo computations. Zbl 1331.62061
Bacallado, Sergio; Diaconis, Persi; Holmes, Susan
2015
Closed expressions for averages of set partition statistics. Zbl 1339.15019
Chern, Bobbie; Diaconis, Persi; Kane, Daniel M.; Rhoades, Robert C.
2014
An introduction to multivariate Krawtchouk polynomials and their applications. Zbl 1306.60003
Diaconis, Persi; Griffiths, Robert
2014
Fluctuations of the Bose-Einstein condensate. Zbl 1287.82005
Chatterjee, Sourav; Diaconis, Persi
2014
Hopf algebras and Markov chains: two examples and a theory. Zbl 1291.05220
Diaconis, Persi; Pang, C. Y. Amy; Ram, Arun
2014
Carries, group theory, and additive combinatorics. Zbl 1310.05210
Diaconis, Persi; Shao, Xuancheng; Soundararajan, Kannan
2014
Combinatorics of balanced carries. Zbl 1308.60018
Diaconis, Persi; Fulman, Jason
2014
Convolution powers of complex functions on $$\mathbb Z$$. Zbl 1304.42018
Diaconis, Persi; Saloff-Coste, Laurent
2014
Connections and extensions: a discussion of the paper by Girolami and Byrne. Zbl 1349.62192
Diaconis, Persi; Seiler, Christof; Holmes, Susan
2014
Unseparated pairs and fixed points in random permutations. Zbl 1372.60010
Diaconis, Persi; Evans, Steven N.; Graham, Ron
2014
Estimating and understanding exponential random graph models. Zbl 1293.62046
Chatterjee, Sourav; Diaconis, Persi
2013
Sampling from a manifold. Zbl 1356.62015
Diaconis, Persi; Holmes, Susan; Shahshahani, Mehrdad
2013
Interval graph limits. Zbl 1274.60028
Diaconis, Persi; Holmes, Susan; Janson, Svante
2013
On the spectral analysis of second-order Markov chains. Zbl 1302.60103
Diaconis, Persi; Miclo, Laurent
2013
Some things we’ve learned (about Markov chain Monte Carlo). Zbl 1412.60109
Diaconis, Persi
2013
Note on a partition limit theorem for rank and crank. Zbl 1308.11088
Diaconis, Persi; Janson, Svante; Rhoades, Robert C.
2013
Analysis of casino shelf shuffling machines. Zbl 1283.60013
Diaconis, Persi; Fulman, Jason; Holmes, Susan
2013
Random doubly stochastic tridiagonal matrices. Zbl 1278.15035
Diaconis, Persi; Wood, Philip Matchett
2013
Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras. Zbl 1237.05208
Aguiar, Marcelo; André, Carlos; Benedetti, Carolina; Bergeron, Nantel; Chen, Zhi; Diaconis, Persi; Hendrickson, Anders; Hsiao, Samuel; Isaacs, I. Martin; Jedwab, Andrea; Johnson, Kenneth; Karaali, Gizem; Lauve, Aaron; Le, Tung; Lewis, Stephen; Li, Huilan; Magaard, Kay; Marberg, Eric; Novelli, Jean-Christophe; Pang, Amy; Saliola, Franco; Tevlin, Lenny; Thibon, Jean-Yves; Thiem, Nathaniel; Venkateswaran, Vidya; Vinroot, C. Ryan; Yan, Ning; Zabrocki, Mike
2012
Foulkes characters, Eulerian idempotents, and an amazing matrix. Zbl 1253.05149
Diaconis, Persi; Fulman, Jason
2012
Magical mathematics. The mathematical ideas that animate great magic tricks. With a foreword by Martin Gardner. Zbl 1230.00009
Diaconis, Persi; Graham, Ron
2012
Exchangeable pairs of Bernoulli random variables, Krawtchouck polynomials, and Ehrenfest urns. Zbl 1334.60006
Diaconis, Persi; Griffiths, Robert
2012
A probabilistic interpretation of the Macdonald polynomials. Zbl 1255.05194
Diaconis, Persi; Ram, Arun
2012
Gibbs/Metropolis algorithms on a convex polytope. Zbl 1254.60079
Diaconis, Persi; Lebeau, Gilles; Michel, Laurent
2012
Random graphs with a given degree sequence. Zbl 1234.05206
Chatterjee, Sourav; Diaconis, Persi; Sly, Allan
2011
Geometric analysis for the Metropolis algorithm on Lipschitz domains. Zbl 1227.60093
Diaconis, Persi; Lebeau, Gilles; Michel, Laurent
2011
A rule of thumb for riffle shuffling. Zbl 1226.60005
Assaf, Sami; Diaconis, Persi; Soundararajan, K.
2011
On barycentric subdivision. Zbl 1213.60029
Diaconis, Persi; Miclo, Laurent
2011
The mathematics of mixing things up. Zbl 1227.82035
Diaconis, Persi
2011
A sequential importance sampling algorithm for generating random graphs with prescribed degrees. Zbl 1238.60084
Blitzstein, Joseph; Diaconis, Persi
2010
On adding a list of numbers (and other one-dependent determinantal processes). Zbl 1230.05292
Borodin, Alexei; Diaconis, Persi; Fulman, Jason
2010
Functions of random walks on hyperplane arrangements. Zbl 1239.60071
2010
Gibbs sampling, conjugate priors and coupling. Zbl 1209.60042
Diaconis, Persi; Khare, Kshitij; Saloff-Coste, Laurent
2010
Stochastic alternating projections. Zbl 1268.60098
Diaconis, Persi; Khare, Kshitij; Saloff-Coste, Laurent
2010
Threads through group theory. Zbl 1225.60125
Diaconis, Persi
2010
The Markov chain Monte Carlo revolution. Zbl 1168.60032
Diaconis, Persi
2009
On times to quasi-stationarity for birth and death processes. Zbl 1186.60086
Diaconis, Persi; Miclo, Laurent
2009
Supercharacter formulas for pattern groups. Zbl 1205.20006
Diaconis, Persi; Thiem, Nathaniel
2009
Carries, shuffling, and symmetric functions. Zbl 1172.60002
Diaconis, Persi; Fulman, Jason
2009
Carries, shuffling, and an amazing matrix. Zbl 1229.60011
Diaconis, Persi; Fulman, Jason
2009
Fastest mixing Markov chain on graphs with symmetries. Zbl 1189.05072
Boyd, Stephen; Diaconis, Persi; Parrilo, Pablo; Xiao, Lin
2009
Micro-local analysis for the Metropolis algorithm. Zbl 1178.60053
Diaconis, Persi; Lebeau, Gilles
2009
On characterizations of Metropolis type algorithms in continuous time. Zbl 1188.60041
Diaconis, Persi; Miclo, Laurent
2009
Book review of: Olav Kallenberg, Probabilistic symmetries and invariance principles. Zbl 1292.00020
Diaconis, Persi
2009
Supercharacters and superclasses for algebra groups. Zbl 1137.20008
Diaconis, Persi; Isaacs, I. M.
2008
Graph limits and exchangeable random graphs. Zbl 1162.60009
Diaconis, Persi; Janson, Svante
2008
Gibbs sampling, exponential families and orthogonal polynomials. Zbl 1327.62058
Diaconis, Persi; Khare, Kshitij; Saloff-Coste, Laurent
2008
Threshold graph limits and random threshold graphs. Zbl 1184.68356
Diaconis, Persi; Holmes, Susan; Janson, Svante
2008
On fixed points of permutations. Zbl 1192.20001
Diaconis, Persi; Fulman, Jason; Guralnick, Robert
2008
Horseshoes in multidimensional scaling and local kernel methods. Zbl 1149.62316
Diaconis, Persi; Goel, Sharad; Holmes, Susan
2008
Projection pursuit for discrete data. Zbl 1166.62048
Diaconis, Persi; Salzman, Julia
2008
Rejoinder: “Gibbs sampling, exponential families and orthogonal polynomials”. Zbl 1327.62059
Diaconis, Persi; Khare, Kshitij; Saloff-Coste, Laurent
2008
Dynamical bias in the coin toss. Zbl 05167724
Diaconis, Persi; Holmes, Susan; Montgomery, Richard
2007
Hit and run as a unifying device. Zbl 1441.60002
Andersen, Hans C.; Diaconis, Persi
2007
Separation cut-offs for birth and death chains. Zbl 1127.60081
Diaconis, Persi; Saloff-Coste, Laurent
2006
The fastest mixing Markov process on a graph and a connecting to a maximum variance unfolding problem. Zbl 1109.60324
Sun, Jun; Boyd, Stephen; Xiao, Lin; Diaconis, Persi
2006
Bayesian analysis for reversible Markov chains. Zbl 1118.62085
Diaconis, Persi; Rolles, Silke W. W.
2006
Fastest mixing Markov chain on a path. Zbl 1135.60046
Boyd, Stephen; Diaconis, Persi; Sun, Jun; Xiao, Lin
2006
Markov bases for noncommutative Fourier analysis of ranked data. Zbl 1120.62002
Diaconis, Persi; Eriksson, Nicholas
2006
Examples comparing importance sampling and the Metropolis algorithm. Zbl 1102.60060
Bassetti, Federico; Diaconis, Persi
2006
Sequential Monte Carlo methods for statistical analysis of tables. Zbl 1117.62310
Chen, Yuguo; Diaconis, Persi; Holmes, Susan P.; Liu, Jun S.
2005
Exchangeable pairs and Poisson approximation. Zbl 1189.60072
Chatterjee, Sourav; Diaconis, Persi; Meckes, Elizabeth
2005
Symmetry analysis of reversible Markov chains. Zbl 1087.60057
Boyd, Stephen; Diaconis, Persi; Parrilo, Pablo; Xiao, Lin
2005
What is …a random matrix? Zbl 1152.15306
Diaconis, Persi
2005
Analysis of a Bose-Einstein Markov chain. Zbl 1130.60012
Diaconis, Persi
2005
Fastest mixing Markov chain on a graph. Zbl 1063.60102
Boyd, Stephen; Diaconis, Persi; Xiao, Lin
2004
A super-class walk on upper-triangular matrices. Zbl 1056.60006
Arias-Castro, Ery; Diaconis, Persi; Stanley, Richard
2004
The Poisson-Dirichlet law is the unique invariant distribution for uniform split-merge transformations. Zbl 1049.60088
Diaconis, Persi; Mayer-Wolf, Eddy; Zeitouni, Ofer; Zerner, Martin P. W.
2004
Random matrices, magic squares and matching polynomials. Zbl 1050.05011
Diaconis, Persi; Gamburd, Alex
2004
Stein’s method: expository lectures and applications. Papers from the workshop on Stein’s method, Stanford, CA, USA, 1998. Zbl 1079.62024
Diaconis, Persi (ed.); Holmes, Susan (ed.)
2004
The Markov moment problem and de Finetti’s theorem. I. Zbl 1066.60004
Diaconis, Persi; Freedman, David
2004
The Markov moment problem and de Finetti’s theorem. II. Zbl 1066.60005
Diaconis, Persi; Freedman, David
2004
On the distribution of the greatest common divisor. Zbl 1268.11139
Diaconis, Persi; Erdős, Paul
2004
Numerical results for the Metropolis algorithm. Zbl 1058.65010
Diaconis, Persi; Neuberger, J. W.
2004
Patterns in eigenvalues: the 70th Josiah Willard Gibbs lecture. Zbl 1161.15302
Diaconis, Persi
2003
Mathematical developments from the analysis of riffle shuffling. Zbl 1026.60005
Diaconis, Persi
2003
Brownian motion and the classical groups. Zbl 1056.60081
D’Aristotile, Anthony; Diaconis, Persi; Newman, Charles M.
2003
Random walks on groups: characters and geometry. Zbl 1064.20071
Diaconis, Persi
2003
New tests of the correspondence between unitary eigenvalues and the zeros of Riemann’s zeta function. Zbl 1074.11046
Coram, Marc; Diaconis, Persi
2003
The asymmetric one-dimensional constrained Ising model: Rigorous results. Zbl 1006.60095
Aldous, David; Diaconis, Persi
2002
Random walks on trees and matchings. Zbl 1007.60071
Diaconis, Persi; Holmes, Susan
2002
Toeplitz minors. Zbl 1005.47030
Bump, Daniel; Diaconis, Persi
2002
A Bayesian peek into Feller volume. I. Zbl 1192.60003
Diaconis, Persi; Holmes, Susan
2002
G. H. Hardy and probability??? Zbl 1029.01016
Diaconis, Persi
2002
Unitary correlations and the Fejér kernel. Zbl 1005.15014
Bump, Daniel; Diaconis, Persi; Keller, Joseph B.
2002
A different construction of Gaussian fields from Markov chains: Dirichlet covariances. Zbl 1033.60049
Diaconis, Persi; Evans, Steven N.
2002
...and 122 more Documents
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#### Cited by 4,889 Authors

 86 Diaconis, Persi Warren 31 Fulman, Jason E. 27 Peres, Yuval 26 Takemura, Akimichi 25 Saloff-Coste, Laurent 19 Miclo, Laurent 18 Chatterjee, Sourav 17 Levine, Lionel 17 Martinelli, Fabio 16 Borodin, Alexei 15 Aldous, David John 15 Fill, James Allen 15 Khare, Kshitij 15 Sullivant, Seth 14 Aoki, Satoshi 14 Lubetzky, Eyal 14 Roberts, Gareth O. 13 Caputo, Pietro 13 Jiang, Tiefeng 13 Thiem, Nathaniel 13 Toninelli, Cristina 13 Wu, Wei Biao 12 Dyer, Martin E. 12 Scarabotti, Fabio 12 Sturmfels, Bernd 12 Yoshida, Ruriko 11 Damek, Ewa 11 Holmes, Susan P. 11 Janson, Svante 11 Mao, Yonghua 11 Rockmore, Daniel N. 11 Rosenthal, Jeffrey S. 11 Seppäläinen, Timo 11 Smith, Aaron M. 11 Walker, Stephen Grahm 10 Dinwoodie, Ian Hepburn 10 Evans, Steven Neil 10 Hildebrand, Martin V. 10 Hobert, James P. 10 Marberg, Eric 10 Pak, Igor 10 Sly, Allan 10 Tetali, Prasad 10 Thoma, Apostolos 10 Tolli, Filippo 9 Bhatnagar, Nayantara 9 Bobkov, Sergey Germanovich 9 Chen, Guanyu 9 Garcia, Stephan Ramon 9 Gorin, Vadim 9 Hermon, Jonathan 9 Muliere, Pietro 9 Regazzini, Eugenio 9 Steinberg, Benjamin 9 Vigoda, Eric 9 Yin, Mei 8 Barvinok, Alexander I. 8 Berger, Arno 8 Buraczewski, Dariusz 8 Cancrini, Nicoletta 8 Corwin, Ivan 8 Forrester, Peter J. 8 Graham, Ronald L. 8 Hara, Hisayuki 8 Landsman, Zinoviy M. 8 Martín, Jacinto 8 Panov, Alexander N. 8 Peccati, Giovanni 8 Petrone, Sonia 8 Petrović, Sonja 8 Randall, Dana J. 8 Rukhin, Andrew L. 8 Saliola, Franco V. 8 Stuart, Andrew M. 8 Yan, Ting 8 Zhu, Lingjiong 7 Ayyer, Arvind 7 Banica, Teodor 7 Chen, Louis Hsiao-Yun 7 Chen, Mu-Fa 7 Chung Graham, Fan-Rong King 7 De Loera, Jesús A. 7 Doukhan, Paul 7 Fortini, Sandra 7 Greenhill, Catherine S. 7 Griffiths, Robert C. 7 Guralnick, Robert Michael 7 Iglesias, Pilar Loreto 7 Jerrum, Mark R. 7 Löwe, Matthias 7 Massam, Helene M. 7 Meckes, Elizabeth S. 7 Mira, Antonietta 7 Nestoridi, Evita 7 Pillai, Natesh S. 7 Pitman, Jim William 7 Pittel, Boris G. 7 Scarsini, Marco 7 Sinclair, Alistair 7 Speicher, Roland ...and 4,789 more Authors
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#### Cited in 520 Serials

 125 The Annals of Probability 117 Statistics & Probability Letters 110 The Annals of Applied Probability 101 The Annals of Statistics 95 Stochastic Processes and their Applications 93 Probability Theory and Related Fields 84 Journal of Theoretical Probability 83 Journal of Statistical Planning and Inference 80 Journal of Statistical Physics 69 Advances in Applied Mathematics 60 Bernoulli 59 Communications in Mathematical Physics 55 Advances in Mathematics 52 Discrete Mathematics 51 Linear Algebra and its Applications 50 Journal of Algebra 49 Journal of Combinatorial Theory. Series A 48 Journal of Multivariate Analysis 47 Transactions of the American Mathematical Society 46 Communications in Statistics. Theory and Methods 43 Computational Statistics and Data Analysis 42 Journal of Applied Probability 41 Journal of Algebraic Combinatorics 37 Statistical Science 34 European Journal of Combinatorics 33 Journal of Mathematical Physics 33 Random Structures & Algorithms 30 Combinatorics, Probability and Computing 29 Theoretical Computer Science 29 Statistics and Computing 28 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 27 Electronic Journal of Statistics 26 Journal of Functional Analysis 25 Proceedings of the American Mathematical Society 24 Annals of the Institute of Statistical Mathematics 23 Discrete Applied Mathematics 23 Journal of Mathematical Analysis and Applications 23 Electronic Journal of Probability 22 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 21 Journal of Symbolic Computation 19 Advances in Applied Probability 19 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 18 Duke Mathematical Journal 17 Communications in Algebra 17 Biometrics 17 Test 16 Psychometrika 16 Journal of Number Theory 16 European Journal of Operational Research 15 Metrika 15 Journal of Econometrics 15 Algorithmica 15 Journal of Mathematical Sciences (New York) 14 The Canadian Journal of Statistics 14 Journal of Computational and Applied Mathematics 14 SIAM Journal on Discrete Mathematics 14 Computational Statistics 14 Bulletin of the American Mathematical Society. New Series 14 Probability in the Engineering and Informational Sciences 14 Methodology and Computing in Applied Probability 13 Journal of Difference Equations and Applications 13 Electronic Communications in Probability 13 Annals of Combinatorics 12 Inventiones Mathematicae 12 International Journal of Approximate Reasoning 12 Journal of the American Mathematical Society 12 International Journal of Algebra and Computation 12 The Electronic Journal of Combinatorics 11 Journal of the American Statistical Association 11 Séminaire Lotharingien de Combinatoire 10 Journal of Mathematical Biology 10 The Mathematical Intelligencer 10 Applied Mathematics and Computation 10 Automatica 10 Insurance Mathematics & Economics 10 Geometric and Functional Analysis. GAFA 10 Communications in Statistics. Simulation and Computation 10 The Journal of Fourier Analysis and Applications 10 The Annals of Applied Statistics 9 Communications on Pure and Applied Mathematics 9 Information Processing Letters 9 Journal of Combinatorial Theory. Series B 9 Journal of Mathematical Psychology 9 Journal of Pure and Applied Algebra 9 Probability Surveys 9 Random Matrices: Theory and Applications 9 Bayesian Analysis 8 American Mathematical Monthly 8 Synthese 8 Systems & Control Letters 8 Journal of the Royal Statistical Society. Series B. Statistical Methodology 8 Annales Henri Poincaré 8 Journal of Machine Learning Research (JMLR) 8 Statistical Methodology 8 SIAM/ASA Journal on Uncertainty Quantification 7 Israel Journal of Mathematics 7 Mathematics of Computation 7 Journal of Computer and System Sciences 7 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 7 Combinatorica ...and 420 more Serials
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#### Cited in 63 Fields

 1,751 Probability theory and stochastic processes (60-XX) 1,108 Statistics (62-XX) 797 Combinatorics (05-XX) 357 Numerical analysis (65-XX) 350 Statistical mechanics, structure of matter (82-XX) 315 Group theory and generalizations (20-XX) 278 Computer science (68-XX) 211 Linear and multilinear algebra; matrix theory (15-XX) 168 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 148 Number theory (11-XX) 144 Operations research, mathematical programming (90-XX) 132 Dynamical systems and ergodic theory (37-XX) 108 Biology and other natural sciences (92-XX) 99 Quantum theory (81-XX) 97 Commutative algebra (13-XX) 90 Information and communication theory, circuits (94-XX) 77 Functional analysis (46-XX) 73 Convex and discrete geometry (52-XX) 71 Partial differential equations (35-XX) 64 Special functions (33-XX) 62 Operator theory (47-XX) 60 Abstract harmonic analysis (43-XX) 57 Algebraic geometry (14-XX) 51 Measure and integration (28-XX) 49 Systems theory; control (93-XX) 41 Associative rings and algebras (16-XX) 41 Harmonic analysis on Euclidean spaces (42-XX) 37 Order, lattices, ordered algebraic structures (06-XX) 30 Mathematical logic and foundations (03-XX) 29 Global analysis, analysis on manifolds (58-XX) 28 Topological groups, Lie groups (22-XX) 23 History and biography (01-XX) 22 Real functions (26-XX) 22 Integral transforms, operational calculus (44-XX) 21 Differential geometry (53-XX) 20 General and overarching topics; collections (00-XX) 19 Ordinary differential equations (34-XX) 19 Difference and functional equations (39-XX) 17 Approximations and expansions (41-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 12 Manifolds and cell complexes (57-XX) 11 General topology (54-XX) 11 Fluid mechanics (76-XX) 10 Nonassociative rings and algebras (17-XX) 10 Functions of a complex variable (30-XX) 9 Potential theory (31-XX) 8 Geometry (51-XX) 8 Algebraic topology (55-XX) 8 Mechanics of particles and systems (70-XX) 7 Mathematics education (97-XX) 6 Integral equations (45-XX) 5 Field theory and polynomials (12-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Relativity and gravitational theory (83-XX) 3 Category theory; homological algebra (18-XX) 3 Sequences, series, summability (40-XX) 3 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 1 General algebraic systems (08-XX) 1 $$K$$-theory (19-XX)

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