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## Stanley, Richard Peter

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 Author ID: stanley.richard-p Published as: Stanley, R.; Stanley, R. P.; Stanley, Richard; Stanley, Richard P. Homepage: http://www-math.mit.edu/~rstan/ External Links: MGP · Wikidata · MathOverflow · ResearchGate · dblp · GND
 Documents Indexed: 211 Publications since 1969, including 36 Books Biographic References: 3 Publications
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#### Co-Authors

 130 single-authored 16 Jerison, David S. 16 Yau, Shing-Tung 11 Mrowka, Tomasz S. 9 Mazur, Barry 9 Schmid, Wilfried 7 Kisin, Mark 7 Yau, Horng-Tzer 7 Zanello, Fabrizio 5 Seidel, Paul 4 Björner, Anders 4 Friedmann, Tamar 4 Hanlon, Phil 4 Simion, Rodica E. 3 Ardila Mantilla, Federico 3 Chen, William Yong-Chuan 3 Du, Rosena R. X. 3 Greene, Curtis 3 Wang, Yinghui 2 Bessenrodt, Christine 2 Billera, Louis J. 2 Gessel, Ira Martin 2 Liu, Fu 2 Postnikov, Alexander 2 Sagan, Bruce Eli 2 Stembridge, John R. 2 Wachs, Michelle Lynn 1 Arias-Castro, Ery 1 Beck, Matthias 1 Bernardi, Olivier 1 Beschler, Edwin F. 1 Billey, Sara C. 1 Boros, George 1 Buchsbaum, David A. 1 Cai, Tommy Wuxing 1 Calkin, Neil J. 1 Canfield, Rodney E. 1 Carlitz, Leonard 1 Chen, Beifang 1 Chen, Xiaomei 1 Chung Graham, Fan-Rong King 1 Clifford, Peter 1 Corteel, Sylvie 1 Cristofaro-Gardiner, Dan 1 De Loera, Jesús A. 1 Deng, Eva Y. P. 1 Develin, Mike 1 Diaconis, Persi Warren 1 Doubilet, Peter 1 Edelman, Paul H. 1 Fomin, Sergey Vladimirovich 1 Fraenkel, Aviezri Siegmund 1 Frankl, Péter 1 Furedi, Zoltan 1 Garsia, Adriano M. 1 Hibi, Takayuki 1 Hutchinson, Joan P. 1 Jockusch, William 1 Kim, Hana 1 Knuth, Donald Ervin 1 Lazebnik, Felix 1 Li, Teresa Xueshan 1 Little, John Brittain 1 Lusztig, George 1 Massey, David Bradley 1 Moll, Victor Hugo 1 Morales, Alejandro H. 1 Mosteig, Edward 1 Mu, Lili 1 Nijenhuis, Albert 1 Odlyzko, Andrew M. 1 Olsson, Jorn Borling 1 Pang, Sabrina X. M. 1 Park, Sung Gi 1 Petkovšek, Marko 1 Pfeifle, Julian 1 Pitman, Jim William 1 Propp, James Gary 1 Qu, Ellen X. Y. 1 Rota, Gian-Carlo 1 Savage, Carla D. 1 Savitt, David 1 Schwartz, Jacob Theodore 1 Stanton, Dennis W. 1 Taylor, Brian D. 1 Vertigan, Dirk 1 Welsh, Dominic J. A. 1 Williams, Lauren K. 1 Yan, Catherine Huafei 1 Zeilberger, Doron 1 Ziegler, Günter Matthias
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#### Serials

 18 Journal of Combinatorial Theory. Series A 10 Discrete Mathematics 9 European Journal of Combinatorics 7 Advances in Mathematics 7 The Electronic Journal of Combinatorics 6 Annals of Combinatorics 5 Studies in Applied Mathematics 5 Discrete & Computational Geometry 5 Journal of Algebraic Combinatorics 5 Cambridge Studies in Advanced Mathematics 4 Transactions of the American Mathematical Society 4 Advances in Applied Mathematics 4 Progress in Mathematics 3 Algebra Universalis 3 Journal of Algebra 3 Proceedings of the American Mathematical Society 3 Graphs and Combinatorics 2 American Mathematical Monthly 2 Discrete Applied Mathematics 2 Duke Mathematical Journal 2 Journal of Combinatorial Theory. Series B 2 Journal of Pure and Applied Algebra 2 Order 2 Journal of the American Mathematical Society 2 SIAM Journal on Discrete Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Notices of the American Mathematical Society 2 Séminaire Lotharingien de Combinatoire 2 The Ramanujan Journal 2 Bulletin of the American Mathematical Society 2 Journal of Combinatorics 2 Undergraduate Texts in Mathematics 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Linear and Multilinear Algebra 1 Mathematische Semesterberichte 1 Nuclear Physics. B 1 Rocky Mountain Journal of Mathematics 1 The Mathematical Intelligencer 1 The Fibonacci Quarterly 1 Inventiones Mathematicae 1 Journal of Number Theory 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 SIAM Journal on Algebraic and Discrete Methods 1 Combinatorica 1 Linear Algebra and its Applications 1 Proceedings of the National Academy of Sciences of the United States of America 1 Combinatorics, Probability and Computing 1 Journal of Integer Sequences 1 La Gaceta de la Real Sociedad Matemática Española 1 DIMACS. Series in Discrete Mathematics and Theoretical Computer Science 1 Mathematical Sciences Research Institute Publications 1 Monographies de l’Enseignement Mathématique
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#### Fields

 165 Combinatorics (05-XX) 47 Order, lattices, ordered algebraic structures (06-XX) 40 Convex and discrete geometry (52-XX) 29 Number theory (11-XX) 29 Group theory and generalizations (20-XX) 21 General and overarching topics; collections (00-XX) 21 Algebraic geometry (14-XX) 17 Commutative algebra (13-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 11 Algebraic topology (55-XX) 11 Probability theory and stochastic processes (60-XX) 6 History and biography (01-XX) 6 Nonassociative rings and algebras (17-XX) 5 Topological groups, Lie groups (22-XX) 5 Geometry (51-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Differential geometry (53-XX) 3 Manifolds and cell complexes (57-XX) 3 Quantum theory (81-XX) 2 Associative rings and algebras (16-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 General algebraic systems (08-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX)

#### Citations contained in zbMATH Open

174 Publications have been cited 9,943 times in 6,841 Documents Cited by Year
Enumerative combinatorics. Volume 2. Zbl 0928.05001
Stanley, Richard P.
1999
Enumerative combinatorics. Vol. 1. Zbl 0889.05001
Stanley, Richard P.
1997
Enumerative combinatorics. Vol. I. Zbl 0608.05001
Stanley, Richard P.
1986
Combinatorics and commutative algebra. 2nd ed. Zbl 0838.13008
Stanley, Richard P.
1996
Hilbert functions of graded algebras. Zbl 0384.13012
Stanley, Richard P.
1978
Enumerative combinatorics. Vol. 1. 2nd ed. Zbl 1247.05003
Stanley, Richard P.
2012
Log-concave and unimodal sequences in algebra, combinatorics, and geometry. Zbl 0792.05008
Stanley, Richard P.
1989
Enumerative combinatorics. Vol. 1. With a foreword by Gian-Carlo Rota. Corrected reprint of the 1986 hardback edition. Zbl 0945.05006
Stanley, Richard P.
1999
Weyl groups, the hard Lefschetz theorem, and the Sperner property. Zbl 0502.05004
Stanley, Richard P.
1980
Combinatorics and commutative algebra. Zbl 0537.13009
Stanley, Richard P.
1983
The number of faces of a simplicial convex polytope. Zbl 0427.52006
Stanley, Richard P.
1980
Ordered structures and partitions. Zbl 0246.05007
Stanley, Richard P.
1972
Some combinatorial properties of Jack symmetric functions. Zbl 0743.05072
Stanley, Richard P.
1989
Enumerative combinatorics. Volume 2. Paperback ed. Zbl 0978.05002
Stanley, Richard P.
2001
Two poset polytopes. Zbl 0595.52008
Stanley, Richard P.
1986
Acyclic orientations of graphs. Zbl 0258.05113
Stanley, Richard P.
1973
Invariants of finite groups and their applications to combinatorics. Zbl 0497.20002
Stanley, Richard P.
1979
Decompositions of rational convex polytopes. Zbl 0812.52012
Stanley, Richard P.
1980
Supersolvable lattices. Zbl 0256.06002
Stanley, R. P.
1972
Some combinatorial properties of Schubert polynomials. Zbl 0790.05093
Billey, Sara C.; Jockusch, William; Stanley, Richard P.
1993
On the number of reduced decompositions of elements of Coxeter groups. Zbl 0587.20002
Stanley, Richard P.
1984
Differentiably finite power series. Zbl 0445.05012
Stanley, R. P.
1980
A symmetric function generalization of the chromatic polynomial of a graph. Zbl 0831.05027
Stanley, Richard P.
1995
Linear Diophantine equations and local cohomology. Zbl 0516.10009
Stanley, Richard P.
1982
The upper bound conjecture and Cohen-Macaulay rings. Zbl 0308.52009
Stanley, Richard P.
1975
Some aspects of groups acting on finite posets. Zbl 0496.06001
Stanley, Richard P.
1982
Theory and application of plane partitions. II. Zbl 0225.05012
Stanley, Richard P.
1971
An introduction to hyperplane arrangements. Zbl 1136.52009
Stanley, Richard P.
2007
Catalan numbers. Zbl 1317.05010
Stanley, Richard P.
2015
Crossings and nestings of matchings and partitions. Zbl 1108.05012
Chen, William Y. C.; Deng, Eva Y. P.; Du, Rosena R. X.; Stanley, Richard P.; Yan, Catherine H.
2007
Balanced Cohen-Macaulay complexes. Zbl 0411.05012
Stanley, Richard P.
1979
Theory and application of plane partitions. I. Zbl 0225.05011
Stanley, Richard P.
1971
Differential posets. Zbl 0658.05006
Stanley, Richard P.
1988
Binomial posets, Möbius inversion, and permutation enumeration. Zbl 0331.05004
Stanley, Richard P.
1976
On the foundations of combinatorial theory. VI: The idea of generating function. Zbl 0267.05002
Doubilet, Peter; Rota, Gian-Carlo; Stanley, Richard
1972
Schubert polynomials and the nilCoxeter algebra. Zbl 0809.05091
Fomin, Sergey; Stanley, Richard P.
1994
Stirling polynomials. Zbl 0378.05006
Gessel, Ira; Stanley, Richard P.
1978
Symmetries of plane partitions. Zbl 0602.05007
Stanley, Richard P.
1986
Subdivisions and local $$h$$-vectors. Zbl 0768.05100
Stanley, Richard P.
1992
A polytope related to empirical distributions, plane trees, parking functions, and the associahedron. Zbl 1012.52019
Stanley, Richard P.; Pitman, Jim
2002
Cohen-Macaulay complexes. Zbl 0376.55007
Stanley, Richard P.
1977
Flag $$f$$-vectors and the $$cd$$-index. Zbl 0805.06003
Stanley, Richard P.
1994
Modular elements of geometric lattices. Zbl 0229.05032
Stanley, Richard P.
1971
Linear homogeneous Diophantine equations and magic labelings of graphs. Zbl 0269.05109
Stanley, Richard P.
1973
Positivity problems and conjectures in algebraic combinatorics. Zbl 0955.05111
Stanley, Richard P.
2000
Combinatorial reciprocity theorems. Zbl 0294.05006
Stanley, Richard P.
1974
Deformations of Coxeter hyperplane arrangements. Zbl 0962.05004
Postnikov, Alexander; Stanley, Richard P.
2000
Hyperplane arrangements, interval orders, and trees. Zbl 0848.05005
Stanley, Richard P.
1996
Relative invariants of finite groups generated by pseudoreflections. Zbl 0383.20029
Stanley, Richard P.
1977
Parking functions and noncrossing partitions. Zbl 0883.06001
Stanley, Richard P.
1997
On immanants of Jacobi-Trudi matrices and permutations with restricted position. Zbl 0772.05097
Stanley, Richard P.; Stembridge, John R.
1993
A survey of alternating permutations. Zbl 1231.05288
Stanley, Richard P.
2010
A bound on the spectral radius of graphs with $$e$$ edges. Zbl 0617.05045
Stanley, Richard P.
1987
Graph colorings and related symmetric functions: ideas and applications: A description of results, interesting applications, and notable open problems. Zbl 1061.05508
Stanley, Richard P.
1998
A monotonicity property of $$h$$-vectors and $$h^*$$-vectors. Zbl 0799.52008
Stanley, Richard P.
1993
Structure of incidence algebras and their automorphism groups. Zbl 0205.31702
Stanley, R. P.
1970
f-vectors and h-vectors of simplicial posets. Zbl 0727.06009
Stanley, Richard P.
1991
Generalized h-vectors, intersection cohomology of toric varieties, and related results. Zbl 0652.52007
Stanley, Richard
1987
On the Hilbert function of a graded Cohen-Macaulay domain. Zbl 0735.13010
Stanley, Richard P.
1991
A super-class walk on upper-triangular matrices. Zbl 1056.60006
Arias-Castro, Ery; Diaconis, Persi; Stanley, Richard
2004
Some combinatorial aspects of the spectra of normally distributed random matrices. Zbl 0789.05092
Hanlon, Philip J.; Stanley, Richard P.; Stembridge, John R.
1992
An introduction to Cohen-Macaulay partially ordered sets. Zbl 0491.06005
Bjoerner, A.; Garsia, A. M.; Stanley, R. P.
1982
Two combinatorial applications of the Aleksandrov-Fenchel inequalities. Zbl 0484.05012
Stanley, Richard P.
1981
A zonotope associated with graphical degree sequences. Zbl 0737.05057
Stanley, Richard P.
1991
Robinson-Schensted algorithms for skew tableaux. Zbl 0732.05061
Sagan, Bruce E.; Stanley, Richard P.
1990
Exponential structures. Zbl 0381.05004
Stanley, Richard P.
1978
Hyperplane arrangements, parking functions and tree inversions. Zbl 0917.52013
Stanley, Richard P.
1998
Coefficients and roots of Ehrhart polynomials. Zbl 1153.52300
Beck, M.; De Loera, Jesús A.; Develin, M.; Pfeifle, J.; Stanley, R. P.
2005
The stable behavior of some characters of SL(n,$${\mathbb{C}})$$. Zbl 0573.20042
Stanley, Richard P.
1984
Finite lattices and Jordan-Hölder sets. Zbl 0303.06006
Stanley, Richard P.
1974
Promotion and evacuation. Zbl 1169.06002
Stanley, Richard P.
2009
Hipparchus, Plutarch, Schröder, and Hough. Zbl 0873.01002
Stanley, Richard P.
1997
The number of faces of balanced Cohen-Macaulay complexes and a generalized Macaulay theorem. Zbl 0651.05010
Björner, A.; Frankl, P.; Stanley, R.
1987
Eulerian partitions of a unit hypercube. Zbl 0359.05001
Stanley, Richard P.
1977
The Fibonacci lattice. Zbl 0328.06007
Stanley, Richard P.
1975
Cohen-Macaulay rings and constructible polytopes. Zbl 0304.52005
Stanley, Richard P.
1975
Smith normal form in combinatorics. Zbl 1343.05026
Stanley, Richard P.
2016
Factorization of permutations into n-cycles. Zbl 0467.20005
Stanley, Richard P.
1981
The Catalan case of Armstrong’s conjecture on simultaneous core partitions. Zbl 1311.05017
Stanley, Richard P.; Zanello, Fabrizio
2015
Algebraic combinatorics. Walks, trees, tableaux, and more. Zbl 1278.05002
Stanley, Richard P.
2013
Longest alternating subsequences of permutations. Zbl 1247.05016
Stanley, Richard P.
2008
Some remarks on sign-balanced and maj-balanced posets. Zbl 1097.06004
Stanley, Richard P.
2005
The conjugate trace and trace of a plane partition. Zbl 0251.05006
Stanley, Richard P.
1973
Formulae for Askey-Wilson moments and enumeration of staircase tableaux. Zbl 1269.05116
Corteel, S.; Stanley, R.; Stanton, D.; Williams, L.
2012
Generalized riffle shuffles and quasisymmetric functions. Zbl 1010.05078
Stanley, Richard P.
2001
Increasing and decreasing subsequences and their variants. Zbl 1133.05002
Stanley, Richard P.
2007
Quotients of Peck posets. Zbl 0564.06002
Stanley, Richard P.
1984
On the number of open sets of finite topologies. Zbl 0214.21001
Stanley, R. P.
1971
Unimodal sequences arising from Lie algebras. Zbl 0451.05004
Stanley, Richard P.
1980
Enumeration of posets generated by disjoint unions and ordinal sums. Zbl 0297.05009
Stanley, Richard P.
1974
Generating functions. Zbl 0422.05003
Stanley, Richard P.
1978
Magic labelings of graphs, symmetric magic squares, systems of parameters, and Cohen-Macaulay rings. Zbl 0335.05010
Stanley, Richard P.
1976
Chains in the Bruhat order. Zbl 1238.14036
Postnikov, Alexander; Stanley, Richard P.
2009
Polygon dissections and standard Young tableaux. Zbl 0859.05075
Stanley, Richard P.
1996
Flag-symmetric and locally rank-symmetric partially ordered sets. Zbl 0857.05091
Stanley, Richard P.
1996
Algebraic enumeration. Zbl 0853.05002
Gessel, Ira M.; Stanley, Richard P.
1995
On the number of faces of centrally-symmetric simplicial polytopes. Zbl 0611.52002
Stanley, Richard P.
1987
Irreducible symmetric group characters of rectangular shape. Zbl 1068.20017
Stanley, Richard P.
2003
A survey of Eulerian posets. Zbl 0816.52004
Stanley, Richard P.
1994
Reconstruction from vertex-switching. Zbl 0572.05046
Stanley, Richard P.
1985
Irrational triangles with polynomial Ehrhart functions. Zbl 1407.52015
Cristofaro-Gardiner, Dan; Li, Teresa Xueshan; Stanley, Richard P.
2019
Algebraic combinatorics. Walks, trees, tableaux, and more. 2nd edition. Zbl 1397.05003
Stanley, Richard P.
2018
Action of the symmetric group on the free LAnKe: a CataLAnKe theorem. Zbl 1411.05282
Friedmann, Tamar; Hanlon, Philip; Stanley, Richard P.; Wachs, Michelle L.
2018
The Smith normal form distribution of a random integer matrix. Zbl 1372.05006
Wang, Yinghui; Stanley, Richard P.
2017
The Smith normal form of a specialized Jacobi-Trudi matrix. Zbl 1358.05025
Stanley, Richard P.
2017
Smith normal form in combinatorics. Zbl 1343.05026
Stanley, Richard P.
2016
Some asymptotic results on $$q$$-binomial coefficients. Zbl 1347.05011
Stanley, Richard P.; Zanello, Fabrizio
2016
A formula for the specialization of skew Schur functions. Zbl 1347.05248
Chen, Xiaomei; Stanley, Richard P.
2016
Catalan numbers. Zbl 1317.05010
Stanley, Richard P.
2015
The Catalan case of Armstrong’s conjecture on simultaneous core partitions. Zbl 1311.05017
Stanley, Richard P.; Zanello, Fabrizio
2015
Supersolvability and freeness for $$\psi$$-graphical arrangements. Zbl 1314.05076
Mu, Lili; Stanley, Richard P.
2015
Valid orderings of real hyperplane arrangements. Zbl 1322.52018
Stanley, Richard P.
2015
Unimodality of partitions with distinct parts inside Ferrers shapes. Zbl 1315.05016
Stanley, Richard P.; Zanello, Fabrizio
2015
The Smith normal form of a matrix associated with Young’s lattice. Zbl 1320.05138
Cai, Tommy Wuxing; Stanley, Richard P.
2015
Smith normal form of a multivariate matrix associated with partitions. Zbl 1307.05009
Bessenrodt, Christine; Stanley, Richard P.
2015
The lecture hall parallelepiped. Zbl 1304.52018
Liu, Fu; Stanley, Richard P.
2014
Separation probabilities for products of permutations. Zbl 1290.05003
Bernardi, Olivier; Du, Rosena R. X.; Morales, Alejandro H.; Stanley, Richard P.
2014
How the upper bound conjecture was proved. Zbl 1408.05144
Stanley, Richard P.
2014
Counting conjugacy classes of elements of finite order in Lie groups. Zbl 1284.05335
Friedmann, Tamar; Stanley, Richard P.
2014
Algebraic combinatorics. Walks, trees, tableaux, and more. Zbl 1278.05002
Stanley, Richard P.
2013
The string landscape: on formulas for counting vacua. Zbl 1262.81135
Friedmann, Tamar; Stanley, Richard P.
2013
Enumerative combinatorics. Vol. 1. 2nd ed. Zbl 1247.05003
Stanley, Richard P.
2012
Formulae for Askey-Wilson moments and enumeration of staircase tableaux. Zbl 1269.05116
Corteel, S.; Stanley, R.; Stanton, D.; Williams, L.
2012
Orientations, lattice polytopes, and group arrangements. II: Modular and integral flow polynomials of graphs. Zbl 1256.05111
Chen, Beifang; Stanley, Richard P.
2012
An equivalence relation on the symmetric group and multiplicity-free flag $$h$$-vectors. Zbl 1291.05012
Stanley, Richard P.
2012
On the rank function of a differential poset. Zbl 1253.06003
Stanley, Richard P.; Zanello, Fabrizio
2012
Two enumerative results on cycles of permutations. Zbl 1238.05015
Stanley, Richard P.
2011
Two remarks on skew tableaux. Zbl 1238.05277
Stanley, Richard P.
2011
A survey of alternating permutations. Zbl 1231.05288
Stanley, Richard P.
2010
Some combinatorial properties of hook lengths, contents, and parts of partitions. Zbl 1234.05234
Stanley, Richard P.
2010
Tilings. Zbl 1242.52022
Ardila, Federico; Stanley, Richard P.
2010
Promotion and evacuation. Zbl 1169.06002
Stanley, Richard P.
2009
Chains in the Bruhat order. Zbl 1238.14036
Postnikov, Alexander; Stanley, Richard P.
2009
Pairs of noncrossing free Dyck paths and noncrossing partitions. Zbl 1189.05023
Chen, William Y. C.; Pang, Sabrina X. M.; Qu, Ellen X. Y.; Stanley, Richard P.
2009
Longest alternating subsequences of permutations. Zbl 1247.05016
Stanley, Richard P.
2008
Current developments in mathematics, 2006. Zbl 1149.00018
Jerison, David (ed.); Mazur, Barry (ed.); Mrowka, Tomasz (ed.); Schmid, Wilfried (ed.); Stanley, Richard (ed.); Yau, Shing-Tung (ed.)
2008
An introduction to hyperplane arrangements. Zbl 1136.52009
Stanley, Richard P.
2007
Crossings and nestings of matchings and partitions. Zbl 1108.05012
Chen, William Y. C.; Deng, Eva Y. P.; Du, Rosena R. X.; Stanley, Richard P.; Yan, Catherine H.
2007
Increasing and decreasing subsequences and their variants. Zbl 1133.05002
Stanley, Richard P.
2007
Alternating permutations and symmetric functions. Zbl 1118.05002
Stanley, Richard P.
2007
Acyclic orientations of graphs. (Reprint). Zbl 1094.05031
Stanley, Richard P.
2006
Ordering events in Minkowski space. Zbl 1109.05020
Stanley, Richard P.
2006
Coefficients and roots of Ehrhart polynomials. Zbl 1153.52300
Beck, M.; De Loera, Jesús A.; Develin, M.; Pfeifle, J.; Stanley, R. P.
2005
Some remarks on sign-balanced and maj-balanced posets. Zbl 1097.06004
Stanley, Richard P.
2005
The descent set and connectivity set of a permutation. Zbl 1101.05002
Stanley, Richard P.
2005
Combinatorics and commutative algebra. 2nd ed. Zbl 1157.13302
Stanley, Richard P.
2005
Properties of some character tables related to the symmetric groups. Zbl 1062.05144
Bessenrodt, Christine; Olsson, Jørn B.; Stanley, Richard P.
2005
A map on the space of rational functions. Zbl 1096.33003
Boros, G.; Little, J.; Moll, V.; Mosteig, E.; Stanley, R.
2005
A super-class walk on upper-triangular matrices. Zbl 1056.60006
Arias-Castro, Ery; Diaconis, Persi; Stanley, Richard
2004
Recent developments in algebraic combinatorics. Zbl 1061.05100
Stanley, Richard P.
2004
Irreducible symmetric group characters of rectangular shape. Zbl 1068.20017
Stanley, Richard P.
2003
Recent progress in algebraic combinatorics. Zbl 1119.14002
Stanley, Richard P.
2003
On the enumeration of skew Young tableaux. Zbl 1027.05109
Stanley, R. P.
2003
A polytope related to empirical distributions, plane trees, parking functions, and the associahedron. Zbl 1012.52019
Stanley, Richard P.; Pitman, Jim
2002
The rank and minimal border strip decompositions of a skew partition. Zbl 1018.05105
Stanley, Richard P.
2002
Enumerative combinatorics. Volume 2. Paperback ed. Zbl 0978.05002
Stanley, Richard P.
2001
Generalized riffle shuffles and quasisymmetric functions. Zbl 1010.05078
Stanley, Richard P.
2001
Positivity problems and conjectures in algebraic combinatorics. Zbl 0955.05111
Stanley, Richard P.
2000
Deformations of Coxeter hyperplane arrangements. Zbl 0962.05004
Postnikov, Alexander; Stanley, Richard P.
2000
A note on symmetric powers of the standard representation of $$S_n$$. Zbl 0959.05119
Savitt, David; Stanley, Richard P.
2000
Enumerative combinatorics. Volume 2. Zbl 0928.05001
Stanley, Richard P.
1999
Enumerative combinatorics. Vol. 1. With a foreword by Gian-Carlo Rota. Corrected reprint of the 1986 hardback edition. Zbl 0945.05006
Stanley, Richard P.
1999
Flag-symmetry of the poset of shuffles and a local action of the symmetric group. Zbl 0931.06004
Simion, Rodica; Stanley, Richard P.
1999
Domino tilings with barriers. Zbl 0948.05020
Propp, James; Stanley, Richard
1999
New perspectives in algebraic combinatorics. Zbl 0927.00011
Billera, Louis J. (ed.); Björner, Anders (ed.); Greene, Curtis (ed.); Simion, Rodica E. (ed.); Stanley, Richard P. (ed.)
1999
Graph colorings and related symmetric functions: ideas and applications: A description of results, interesting applications, and notable open problems. Zbl 1061.05508
Stanley, Richard P.
1998
Hyperplane arrangements, parking functions and tree inversions. Zbl 0917.52013
Stanley, Richard P.
1998
Spanning trees and a conjecture of Kontsevich. Zbl 0927.05087
Stanley, Richard P.
1998
A $$q$$-deformation of a trivial symmetric group action. Zbl 0921.20009
Hanlon, Phil; Stanley, Richard P.
1998
Mathematical essays in honor of Gian-Carlo Rota’s 65th birthday. Zbl 0890.00032
Sagan, Bruce E. (ed.); Stanley, Richard P. (ed.)
1998
Enumerative combinatorics. Vol. 1. Zbl 0889.05001
Stanley, Richard P.
1997
Parking functions and noncrossing partitions. Zbl 0883.06001
Stanley, Richard P.
1997
Hipparchus, Plutarch, Schröder, and Hough. Zbl 0873.01002
Stanley, Richard P.
1997
Lê numbers of arrangements and matroid identities. Zbl 0884.05029
Massey, David B.; Simion, Rodica; Stanley, Richard P.; Vertigan, Dirk; Welsh, Dominic J. A.; Ziegler, Günter M.
1997
Combinatorics and commutative algebra. 2nd ed. Zbl 0838.13008
Stanley, Richard P.
1996
Hyperplane arrangements, interval orders, and trees. Zbl 0848.05005
Stanley, Richard P.
1996
Polygon dissections and standard Young tableaux. Zbl 0859.05075
Stanley, Richard P.
1996
Flag-symmetric and locally rank-symmetric partially ordered sets. Zbl 0857.05091
Stanley, Richard P.
1996
A matrix for counting paths in acyclic digraphs. Zbl 0860.05054
Stanley, Richard P.
1996
A symmetric function generalization of the chromatic polynomial of a graph. Zbl 0831.05027
Stanley, Richard P.
1995
Algebraic enumeration. Zbl 0853.05002
Gessel, Ira M.; Stanley, Richard P.
1995
Schubert polynomials and the nilCoxeter algebra. Zbl 0809.05091
Fomin, Sergey; Stanley, Richard P.
1994
Flag $$f$$-vectors and the $$cd$$-index. Zbl 0805.06003
Stanley, Richard P.
1994
A survey of Eulerian posets. Zbl 0816.52004
Stanley, Richard P.
1994
Some combinatorial properties of Schubert polynomials. Zbl 0790.05093
Billey, Sara C.; Jockusch, William; Stanley, Richard P.
1993
On immanants of Jacobi-Trudi matrices and permutations with restricted position. Zbl 0772.05097
Stanley, Richard P.; Stembridge, John R.
1993
A monotonicity property of $$h$$-vectors and $$h^*$$-vectors. Zbl 0799.52008
Stanley, Richard P.
1993
A combinatorial decomposition of acyclic simplicial complexes. Zbl 0782.55004
Stanley, Richard P.
1993
Derangements on the $$n$$-cube. Zbl 0774.05002
Chen, William Y. C.; Stanley, Richard P.
1993
Subdivisions and local $$h$$-vectors. Zbl 0768.05100
Stanley, Richard P.
1992
Some combinatorial aspects of the spectra of normally distributed random matrices. Zbl 0789.05092
Hanlon, Philip J.; Stanley, Richard P.; Stembridge, John R.
1992
Sets of vectors with many orthogonal pairs. Zbl 0768.05005
Füredi, Zoltán; Stanley, Richard
1992
f-vectors and h-vectors of simplicial posets. Zbl 0727.06009
Stanley, Richard P.
1991
On the Hilbert function of a graded Cohen-Macaulay domain. Zbl 0735.13010
Stanley, Richard P.
1991
A zonotope associated with graphical degree sequences. Zbl 0737.05057
Stanley, Richard P.
1991
Some applications of algebra to combinatorics. Zbl 0762.06001
Stanley, Richard P.
1991
Robinson-Schensted algorithms for skew tableaux. Zbl 0732.05061
Sagan, Bruce E.; Stanley, Richard P.
1990
Further combinatorial properties of two Fibonacci lattices. Zbl 0717.05004
Stanley, Richard P.
1990
Variations on differential posets. Zbl 0707.06001
Stanley, Richard P.
1990
Log-concave and unimodal sequences in algebra, combinatorics, and geometry. Zbl 0792.05008
Stanley, Richard P.
1989
...and 74 more Documents
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#### Cited by 5,827 Authors

 86 Stanley, Richard Peter 65 Hibi, Takayuki 50 Chen, William Yong-Chuan 50 Sagan, Bruce Eli 49 Ehrenborg, Richard 45 Mansour, Toufik 42 Reiner, Victor 39 Brenti, Francesco 34 Krattenthaler, Christian Friedrich 32 Herzog, Jürgen 32 Pak, Igor 30 Murai, Satoshi 29 Nevo, Eran 29 Readdy, Margaret A. 28 Gessel, Ira Martin 28 Yeh, Yeong-Nan 28 Zanello, Fabrizio 28 Zeng, Jiang 27 Björner, Anders 27 Goulden, Ian P. 27 Villarreal, Rafael Heraclio 27 Welker, Volkmar 26 Diaconis, Persi Warren 26 Novik, Isabella 26 Panova, Greta 25 Han, Guo-Niu 24 Morales, Alejandro H. 24 Wachs, Michelle Lynn 24 Yan, Catherine Huafei 23 Beck, Matthias 23 Hetyei, Gábor 23 Jackson, David M. 23 Kim, Jang Soo 23 Konvalinka, Matjaž 23 Migliore, Juan Carlos 23 Nagel, Uwe 22 Elizalde, Sergi 22 Sturmfels, Bernd 21 Athanasiadis, Christos A. 21 Bergeron, Nantel 21 Roichman, Yuval 21 Seyed Fakhari, Seyed Amin 21 Stembridge, John R. 21 Terai, Naoki 21 Yanagawa, Kohji 20 Mirò-Roig, Rosa Maria 19 Billera, Louis J. 19 Marberg, Eric 19 Remmel, Jeffrey B. 18 Ciucu, Mihai 18 Féray, Valentin 18 Foata, Dominique C. 18 Fomin, Sergey Vladimirovich 18 Fulman, Jason E. 18 Geramita, Anthony Vito 18 Higashitani, Akihiro 18 Ma, Shi-Mei 18 Rhoades, Brendon 18 Shareshian, John 18 Van Willigenburg, Stephanie J. 18 Zhu, Baoxuan 18 Ziegler, Günter Matthias 17 Adin, Ron M. 17 Bóna, Miklós 17 Eu, Sen-Peng 17 Mészáros, Karola 17 Proctor, Robert A. 17 Reidys, Christian Michael 17 Tenner, Bridget Eileen 17 Wang, Yi 16 Andrews, George Eyre 16 Billey, Sara C. 16 Bousquet-Mélou, Mireille 16 Brown, Jason Ira 16 Haglund, James 16 Hersh, Patricia 16 Juhnke-Kubitzke, Martina 16 Lin, Zhicong 16 Ohsugi, Hidefumi 16 Shin, Yong Su 16 Zeilberger, Doron 15 Chen, Beifang 15 Edelman, Paul H. 15 Klee, Steven 15 Kung, Joseph P. S. 15 Loehr, Nicholas A. 15 Martin, Jeremy L. 15 Nakajima, Haruhisa 15 Postnikov, Alexander 15 Sottile, Frank 15 Tsuchiya, Akiyoshi 15 Vershik, Anatoliĭ Moiseevich 15 Yassemi, Siamak 14 Ardila Mantilla, Federico 14 Biagioli, Riccardo 14 Caselli, Fabrizio 14 Fischer, Ilse 14 Gao, Yibo 14 Katthän, Lukas 14 Marietti, Mario ...and 5,727 more Authors
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#### Cited in 460 Serials

 614 Journal of Combinatorial Theory. Series A 491 Discrete Mathematics 381 Journal of Algebra 342 European Journal of Combinatorics 329 Advances in Applied Mathematics 295 Advances in Mathematics 249 Journal of Algebraic Combinatorics 196 Transactions of the American Mathematical Society 157 Journal of Pure and Applied Algebra 148 Proceedings of the American Mathematical Society 137 Linear Algebra and its Applications 137 Annals of Combinatorics 136 Communications in Algebra 108 Séminaire Lotharingien de Combinatoire 104 Discrete & Computational Geometry 98 The Electronic Journal of Combinatorics 97 Discrete Applied Mathematics 79 Theoretical Computer Science 62 Order 59 Algebraic Combinatorics 56 Journal of Symbolic Computation 48 Graphs and Combinatorics 47 Journal of Combinatorial Theory. Series B 47 Journal of Number Theory 46 Mathematische Zeitschrift 43 SIAM Journal on Discrete Mathematics 41 Journal of Mathematical Physics 41 The Ramanujan Journal 39 Israel Journal of Mathematics 39 Journal of Mathematical Sciences (New York) 37 Duke Mathematical Journal 33 Communications in Mathematical Physics 32 Journal of Integer Sequences 31 Journal of High Energy Physics 29 Inventiones Mathematicae 29 Manuscripta Mathematica 28 Journal of Mathematical Analysis and Applications 27 Bulletin of the American Mathematical Society. New Series 27 Journal of Commutative Algebra 26 Linear and Multilinear Algebra 26 Journal of Statistical Planning and Inference 25 Rocky Mountain Journal of Mathematics 23 The Annals of Probability 23 Studies in Applied Mathematics 23 Combinatorica 22 Annales de l’Institut Fourier 22 Mathematische Annalen 21 Applied Mathematics and Computation 21 Nagoya Mathematical Journal 21 Selecta Mathematica. New Series 20 Archiv der Mathematik 19 Journal of Statistical Physics 19 Comptes Rendus. Mathématique. Académie des Sciences, Paris 18 Collectanea Mathematica 17 Letters in Mathematical Physics 17 Journal of the American Mathematical Society 17 The Australasian Journal of Combinatorics 17 Algebras and Representation Theory 17 Journal of Algebra and its Applications 17 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 16 Tohoku Mathematical Journal. Second Series 16 Experimental Mathematics 15 Mathematics of Computation 15 Algebra Universalis 14 Mathematical Proceedings of the Cambridge Philosophical Society 14 Nuclear Physics. B 14 Combinatorics, Probability and Computing 13 Probability Theory and Related Fields 13 International Journal of Algebra and Computation 13 Transformation Groups 12 American Mathematical Monthly 12 Mathematical Notes 12 Compositio Mathematica 12 Functional Analysis and its Applications 12 Journal of Computational and Applied Mathematics 12 Journal of Functional Analysis 12 Mathematika 12 Finite Fields and their Applications 11 Information Processing Letters 11 The Annals of Statistics 11 Monatshefte für Mathematik 11 Random Structures & Algorithms 11 The Annals of Applied Probability 11 Designs, Codes and Cryptography 11 Journal of Algebraic Geometry 10 Journal für die Reine und Angewandte Mathematik 10 SIAM Journal on Algebraic and Discrete Methods 10 Aequationes Mathematicae 10 Applicable Algebra in Engineering, Communication and Computing 10 Algebraic & Geometric Topology 9 Bulletin of the Australian Mathematical Society 9 Journal of Geometry and Physics 9 The Mathematical Intelligencer 9 Journal of Multivariate Analysis 9 Journal of Theoretical Probability 9 Journal of the European Mathematical Society (JEMS) 9 Integers 9 Proceedings of the Steklov Institute of Mathematics 8 Bulletin of Mathematical Biology 8 Fuzzy Sets and Systems ...and 360 more Serials
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#### Cited in 61 Fields

 4,172 Combinatorics (05-XX) 1,069 Commutative algebra (13-XX) 967 Group theory and generalizations (20-XX) 829 Convex and discrete geometry (52-XX) 791 Order, lattices, ordered algebraic structures (06-XX) 767 Algebraic geometry (14-XX) 717 Number theory (11-XX) 379 Probability theory and stochastic processes (60-XX) 371 Associative rings and algebras (16-XX) 356 Computer science (68-XX) 344 Linear and multilinear algebra; matrix theory (15-XX) 250 Special functions (33-XX) 216 Nonassociative rings and algebras (17-XX) 191 Manifolds and cell complexes (57-XX) 164 Algebraic topology (55-XX) 163 Quantum theory (81-XX) 121 Statistical mechanics, structure of matter (82-XX) 97 Operations research, mathematical programming (90-XX) 95 Category theory; homological algebra (18-XX) 89 Statistics (62-XX) 88 Geometry (51-XX) 85 Several complex variables and analytic spaces (32-XX) 78 Numerical analysis (65-XX) 77 Information and communication theory, circuits (94-XX) 74 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 71 Topological groups, Lie groups (22-XX) 66 Dynamical systems and ergodic theory (37-XX) 64 Biology and other natural sciences (92-XX) 47 Mathematical logic and foundations (03-XX) 47 Field theory and polynomials (12-XX) 45 Functions of a complex variable (30-XX) 45 Functional analysis (46-XX) 43 Real functions (26-XX) 43 Differential geometry (53-XX) 40 Ordinary differential equations (34-XX) 40 Operator theory (47-XX) 39 Approximations and expansions (41-XX) 30 Difference and functional equations (39-XX) 30 Abstract harmonic analysis (43-XX) 28 $$K$$-theory (19-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 28 Global analysis, analysis on manifolds (58-XX) 25 General topology (54-XX) 19 Integral transforms, operational calculus (44-XX) 16 Partial differential equations (35-XX) 14 History and biography (01-XX) 14 Relativity and gravitational theory (83-XX) 12 Measure and integration (28-XX) 10 General and overarching topics; collections (00-XX) 9 General algebraic systems (08-XX) 9 Systems theory; control (93-XX) 8 Sequences, series, summability (40-XX) 3 Integral equations (45-XX) 3 Mechanics of deformable solids (74-XX) 3 Mathematics education (97-XX) 2 Potential theory (31-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX)

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