Edit Profile (opens in new tab) Garsia, Adriano M. Co-Author Distance Author ID: garsia.adriano-m Published as: Garsia, A. M.; Garsia, Adriano M.; Garsia, Adriano; Garsia, A. more...less External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 135 Publications since 1958, including 4 Books and 9 Additional arXiv Preprints Co-Authors: 49 Co-Authors with 98 Joint Publications 1,303 Co-Co-Authors all top 5 Co-Authors 36 single-authored 13 Remmel, Jeffrey Brian 12 Wallach, Nolan Russell 11 Bergeron, François 11 Xin, Guoce 10 Haglund, James 9 Zabrocki, Mike 8 Haiman, Mark D. 8 Rodemich, Eugene R. 5 Bergeron, Nantel 5 Tesler, Glenn 3 Joni, S. A. 3 Leven, Emily Sergel 2 Egecioglu, Omer 2 Hicks, Angela Sue 2 McLarnan, Timothy J. 2 Milne, Stephen C. 2 Reutenauer, Christophe 2 Romero, Marino 2 Wachs, Michelle Lynn 2 Yoo, Meesue 1 Assaf, Sami H. 1 Aval, Jean-Christophe 1 Baclawski, Kenneth 1 Banerjee, Soumya Dipta 1 Bell, Jason P. 1 Björner, Anders 1 Can, Mahir Bilen 1 D’Adderio, Michele 1 Duane, Adrian 1 Foata, Dominique C. 1 Ganzberger, G. 1 Gessel, Ira Martin 1 Greenhall, Charles A. 1 Lamperti, John W. 1 Liese, Jeffrey 1 Mellit, Anton S. 1 Musiker, Gregg 1 Orey, Steven 1 Posner, Edward C. 1 Procesi, Claudio 1 Qiu, Dun 1 Rhoades, Billy E. 1 Rumsey, Howard jun. 1 Sagan, Bruce Eli 1 Sawyer, Stanley A. 1 Stanley, Richard Peter 1 Stanton, Dennis W. 1 Stout, Andrew R. 1 Xin, Gouce all top 5 Serials 11 Journal of Combinatorial Theory. Series A 9 Advances in Mathematics 6 Journal of Combinatorics 5 Discrete Mathematics 5 Proceedings of the National Academy of Sciences of the United States of America 4 Linear and Multilinear Algebra 4 The Electronic Journal of Combinatorics 4 Annals of Combinatorics 3 Journal of Mathematical Analysis and Applications 3 Commentarii Mathematici Helvetici 3 Pacific Journal of Mathematics 3 European Journal of Combinatorics 3 Advances in Applied Mathematics 3 Journal of Mathematics and Mechanics 2 Communications in Algebra 2 Houston Journal of Mathematics 2 Indiana University Mathematics Journal 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 IMRN. International Mathematics Research Notices 2 Journal of Algebraic Combinatorics 2 Séminaire Lotharingien de Combinatoire 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Arkiv för Matematik 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability 1 Illinois Journal of Mathematics 1 Journal of Algebra 1 Numerische Mathematik 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 SIAM Journal on Computing 1 Theoretical Computer Science 1 Graphs and Combinatorics 1 International Journal of Algebra and Computation 1 PU.M.A. Pure Mathematics and Applications 1 Methods and Applications of Analysis 1 Annals of Mathematics. Second Series 1 Bulletin of the American Mathematical Society 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Journal of Mathematics and Physics 1 Graduate Texts in Mathematics 1 Lecture Notes in Mathematics 1 Mathematics Lecture Note Series all top 5 Fields 86 Combinatorics (05-XX) 23 Group theory and generalizations (20-XX) 12 Special functions (33-XX) 10 Commutative algebra (13-XX) 9 Real functions (26-XX) 6 Probability theory and stochastic processes (60-XX) 5 Nonassociative rings and algebras (17-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Number theory (11-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Functional analysis (46-XX) 3 Algebraic topology (55-XX) 3 Computer science (68-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Associative rings and algebras (16-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 115 Publications have been cited 2,510 times in 1,819 Documents Cited by ▼ Year ▼ Martingale inequalities. Seminar notes on recent progress. Zbl 0284.60046 Garsia, Adriano M. 175 1973 A remarkable \(q,t\)-Catalan sequence and \(q\)-Lagrange inversion. Zbl 0853.05008 Garsia, A. M.; Haiman, M. 124 1996 A real variable lemma and the continuity of paths of some Gaussian processes. Zbl 0252.60020 Garsia, A. M.; Rodemich, E.; Rumsey, H. jun. 121 1970 Arithmetic properties of Bernoulli convolutions. Zbl 0103.36502 Garsia, Adriano M. 102 1962 On certain graded \(S_ n\)-modules and the \(q\)-Kostka polynomials. Zbl 0797.20012 Garsia, A. M.; Procesi, C. 93 1992 Topics in almost everywhere convergence. Zbl 0198.38401 Garsia, Adriano M. 91 1970 Q-counting rook configurations and a formula of Frobenius. Zbl 0598.05007 Garsia, A. M.; Remmel, J. B. 77 1986 A decomposition of Solomon’s descent algebra. Zbl 0716.20006 Garsia, A. M.; Reutenauer, C. 73 1989 A graded representation model for Macdonald’s polynomials. Zbl 0831.05062 Garsia, Adriano M.; Haiman, Mark 71 1993 Permutation statistics and partitions. Zbl 0431.05007 Garsia, A. M.; Gessel, I. 69 1979 Combinatorial methods in the theory of Cohen-Macaulay rings. Zbl 0461.06002 Garsia, Adriano M. 67 1980 A proof of the \(q,t\)-Catalan positivity conjecture. Zbl 1028.05115 Garsia, A. M.; Haglund, J. 59 2002 A discrete renewal theorem with infinite mean. Zbl 0114.08803 Garsia, A.; Lamperti, J. 58 1963 Shuffles of permutations and the Kronecker product. Zbl 0588.05005 Garsia, A. M.; Remmel, J. 54 1985 Group actions on Stanley-Reisner rings and invariants of permutation groups. Zbl 0561.06002 Garsia, A. M.; Stanton, D. 53 1984 A Rogers-Ramanujan bijection. Zbl 0477.05009 Garsia, A. M.; Milne, S. C. 49 1981 Relations between Young’s natural and the Kazhdan-Lusztig representations of \(S_ n\). Zbl 0657.20014 Garsia, A. M.; McLarnan, T. J. 47 1988 Identities and positivity conjectures for some remarkable operators in the theory of symmetric functions. Zbl 0956.33011 Bergeron, F.; Garsia, A. M.; Haiman, M.; Tesler, G. 45 1999 Science fiction and Macdonald’s polynomials. Zbl 0947.20009 Bergeron, F.; Garsia, A. M. 40 1999 Monotonicity of certain functionals under rearrangement. Zbl 0274.26006 Garsia, Adriano; Rodemich, Eugène 40 1974 Algorithms for plethysm. Zbl 0556.20013 Chen, Y. M.; Garsia, A. M.; Remmel, J. 35 1984 Compositional \((km,kn)\)-shuffle conjectures. Zbl 1404.05213 Bergeron, Francois; Garsia, Adriano; Leven, Emily Sergel; Xin, Guoce 34 2016 An expose of the Mullin-Rota theory of polynomials of binomial type. Zbl 0287.05008 Garsia, Adriano M. 33 1973 Plethystic formulas for Macdonald \(q,t\)-Kostka coefficients. Zbl 0865.05075 Garsia, A. M.; Tesler, G. 33 1996 Combinatorial decompositions of a class of rings. Zbl 0466.13003 Baclawski, Kenneth; Garsia, Adriano M. 32 1981 Method for constructing bijections for classical partition identities. Zbl 0464.05007 Garsia, A. M.; Milne, S. C. 31 1981 Entropy and singularity of infinite convolutions. Zbl 0126.14901 Garsia, A. 30 1963 A combinatorial interpretation of q-derangement and q-Laguerre numbers. Zbl 0462.05012 Garsia, A. M.; Remmel, J. 28 1980 A simple proof of E. Hopf’s maximal ergodic theorem. Zbl 0178.38601 Garsia, A. M. 26 1965 Continuity properties of Gaussian processes with multidimensional time parameter. Zbl 0272.60034 Garsia, Adriano M. 26 1972 A new expression for umbral operators and power series inversion. Zbl 0376.05003 Garsia, A. M.; Joni, S. A. 25 1977 Explicit plethystic formulas for Macdonald \((q,t)\)-Kostka coefficients. Zbl 0920.05071 Garsia, Adriano; Haiman, Mark; Tesler, Glenn 23 1999 Combinatorics of the free Lie algebra and the symmetric group. Zbl 0709.17003 Garsia, Adriano M. 23 1990 Some natural bigraded \(S_ n\)-modules and \(q,t\)-Kostka coefficients. Zbl 0851.05099 Garsia, A. M.; Haiman, M. 21 1996 Idempotents for the free Lie algebra and q-enumeration. Zbl 0721.17006 Bergeron, F.; Bergeron, N.; Garsia, A. M. 21 1990 On the ”maj” and ”inv” q-analogues of Eulerian polynomials. Zbl 0442.05002 Garsia, Adriano M. 21 1979 A q-analogue of the Lagrange inversion formula. Zbl 0481.05006 Garsia, Adriano M. 20 1981 A proof of the delta conjecture when \(q=0\). Zbl 1416.05286 Garsia, Adriano; Haglund, Jim; Remmel, Jeffrey B.; Yoo, Meesue 20 2019 An introduction to Cohen-Macaulay partially ordered sets. Zbl 0491.06005 Bjoerner, A.; Garsia, A. M.; Stanley, R. P. 19 1982 Higher dimensional polynomials of binomial type and formal power series inversion. Zbl 0378.05009 Garsia, A. M.; Joni, S. A. 19 1978 A positivity result in the theory of Macdonald polynomials. Zbl 1066.05144 Garsia, A. M.; Haglund, J. 18 2001 Orthogonality of Milne’s polynomials and raising operators. Zbl 0763.05100 Garsia, Adriano M. 18 1992 A new algorithm for minimum cost binary trees. Zbl 0366.68028 Garsia, Adriano M.; Wachs, Michelle L. 18 1977 Symmetric functions and raising operators. Zbl 0463.20010 Garsia, A. M.; Remmel, J. 18 1981 Lattice diagram polynomials and extended Pieri rules. Zbl 0934.05122 Bergeron, François; Bergeron, Nantel; Garsia, Adriano M.; Haiman, Mark; Tesler, Glenn 17 1999 Existence of almost everywhere convergent rearrangements for Fourier series of \(L_ 2\) functions. Zbl 0133.02702 Garsia, A. M. 17 1964 A random \(q,t\)-hook walk and a sum of Pieri coefficients. Zbl 0908.05082 Garsia, A. M.; Haiman, M. 14 1998 On some extremal positive definite functions. Zbl 0191.06002 Garsia, A.; Rodemich, E.; Rumsey, H. 14 1969 On a convex function inequality for martingales. Zbl 0289.60026 Garsia, Adriano M. 13 1973 On certain spaces of harmonic polynomials. Zbl 0798.05073 Bergeron, N.; Garsia, A. M. 13 1992 Combinatorics of Tesler matrices in the theory of parking functions and diagonal harmonics. Zbl 1291.05203 Armstrong, D.; Garsia, A.; Haglund, J.; Rhoades, B.; Sagan, B. 13 2012 Character polynomials, their \(q\)-analogs and the Kronecker product. Zbl 1216.20003 Garsia, A. M.; Goupil, A. 12 2009 Homomorphisms between Solomon’s descent algebras. Zbl 0770.20008 Bergeron, F.; Garsia, A.; Reutenauer, C. 12 1992 A note on the mean value property. Zbl 0103.32202 Garsia, Adriano M. 11 1962 Factorizations of Pieri rules for Macdonald polynomials. Zbl 0826.05056 Garsia, A. M.; Haiman, M. 10 1995 Hall-Littlewood operators in the theory of parking functions and diagonal harmonics. Zbl 1238.05273 Garsia, A. M.; Xin, G.; Zabrocki, M. 10 2012 Kronecker coefficients via symmetric functions and constant term identities. Zbl 1242.05269 Garsia, Adriano; Wallach, Nolan; Xin, Guoce; Zabrocki, Mike 10 2012 Some remarkable new plethystic operators in the theory of Macdonald polynomials. Zbl 1350.05173 Bergeron, Francois; Garsia, Adriano; Leven, Emily Sergel; Xin, Guoce 10 2016 Composition sequences. Zbl 0526.05006 Garsia, A. M.; Joni, S. A. 9 1980 Combinatorial aspects of skew representations of the symmetric group. Zbl 0691.20011 Garsia, A. M.; Wachs, M. L. 9 1989 Multiple left regular representations generated by alternants. Zbl 0963.05135 Bergeron, François; Garsia, Adriano; Tesler, Glenn 9 2000 On some classes of continuous functions with convergent Fourier series. Zbl 0125.03901 Garsia, A. M.; Sawyer, S. 9 1964 Sergeev’s formula and the Littlewood-Richardson rule. Zbl 0732.05060 Bergeron, N.; Garsia, A. M. 9 1990 An imbedding of closed Riemann surfaces in Euclidean space. Zbl 0173.24001 Garsia, Adriano M. 8 1961 A remarkable inequality and the uniform convergence of Fourier series. Zbl 0324.42005 Garsia, Adriano M. 8 1976 A novel form of \(q\)-Lagrange inversion. Zbl 0616.05006 Garsia, A. M.; Remmel, J. 8 1986 Breakthroughs in the theory of Macdonald polynomials. Zbl 1208.05148 Garsia, Adriano; Remmel, Jeffrey B. 7 2005 Zonal polynomials and domino tableaux. Zbl 0759.05098 Bergeron, Nantel; Garsia, Adriano M. 7 1992 Inverting the rational sweep map. Zbl 1401.05041 Garsia, Adriano; Xin, Guoce 7 2018 Qsym over Sym is free. Zbl 1032.05139 Garsia, A. M.; Wallach, N. 6 2003 Combinatorial inequalities and smoothness of functions. Zbl 0351.26005 Garsia, Adriano M. 6 1976 Invariants, Kronecker products, and combinatorics of some remarkable Diophantine systems. Zbl 1203.05009 Garsia, Adriano; Musiker, Gregg; Wallach, Nolan; Xin, Guoce 6 2009 The case \(k=2\) of the shuffle conjecture. Zbl 1247.05260 Garsia, Adriano; Hicks, Angela; Stout, Andrew 6 2011 Constant term methods in the theory of Tesler matrices and Macdonald polynomial operators. Zbl 1297.05240 Garsia, A. M.; Haglund, J.; Xin, G. 6 2014 Combinatorics of labelled parallelogram polyominoes. Zbl 1307.05045 Aval, J.-C.; Bergeron, F.; Garsia, A. 6 2015 A new plethystic symmetric function operator and the rational compositional shuffle conjecture at \(t=1/q\). Zbl 1355.05254 Garsia, Adriano; Sergel Leven, Emily; Wallach, Nolan; Xin, Guoce 6 2017 Five-term relation and Macdonald polynomials. Zbl 1403.05158 Garsia, Adriano; Mellit, Anton 6 2019 Plethystic formulas and positvity for \(q,t\)-Kostka coefficients. Zbl 0910.05067 Garsia, A. M.; Remmel, J. 5 1998 Asymptotic behavior of successive coefficients of some power series. Zbl 0107.28103 Garsia, A. M.; Orey, S.; Rodemich, E. 5 1962 More about the maximal ergodic lemma of Brunel. Zbl 0147.34004 Garsia, Adriano M. 5 1967 Raising operators and Young’s rule. Zbl 0626.20004 Garsia, A. M. 4 1986 Méthodes combinatoires dans la théorie des anneaux de Cohen-Macaulay. Zbl 0401.13014 Garsia, Adriano M. 4 1979 On the raising operators of Alfred Young. Zbl 0426.20009 Garsia, A. M.; Remmel, J. B. 4 1979 A combinatorial approach to the Mehler formulas for Hermite polynomials. Zbl 0458.33012 Foata, Dominique; Garsia, Adriano M. 4 1979 Some new applications of the Stanley-Macdonald Pieri rules. Zbl 1364.05078 Garsia, Adriano; Haglund, Jim; Xin, Guoce; Zabrocki, Mike 4 2016 Dinv and area. Zbl 1358.05022 Garsia, Adriano; Xin, Guoce 4 2017 Hilbert series of invariants, constant terms and Kostka-Foulkes polynomials. Zbl 1228.05289 Garsia, A.; Wallach, N.; Xin, G.; Zabrocki, M. 3 2009 The non-degeneracy of the bilinear form of \(m\)-quasi-invariants. Zbl 1171.20313 Garsia, A. M.; Wallach, N. 3 2006 On the conformal types of algebraic surfaces of euclidean space. Zbl 0105.34702 Garsia, Adriano M. 3 1962 Some Tauberian theorems and the asymptotic behavior of probabilities of recurrent events. Zbl 0115.13502 Garsia, A. M. 3 1963 An embedding of Riemann surfaces of genus one. Zbl 0133.03802 Garsia, A. M.; Rodemich, E. 3 1961 Some properties of the measures on function spaces induced by Gaussian processes. Zbl 0155.23801 Garsia, A. M.; Posner, E. C.; Rodemich, E. R. 3 1968 On functions satisfying the mean value property with respect to a product measure. Zbl 0178.05004 Garsia, A. M.; Rodemich, E. 3 1966 The Burgess Davis inequalities via Fefferman’s inequality. Zbl 0294.60037 Garsia, Adriano M. 3 1973 A polynomial expression for the character of diagonal harmonics. Zbl 1326.05007 Garsia, A.; Haglund, J. 3 2015 Lectures in algebraic combinatorics. Young’s construction, seminormal representations, \(\mathfrak{sl}(2)\) representations, heaps, basics on finite fields. Zbl 1462.05001 Garsia, Adriano M.; Eğecioğlu, Ömer 3 2020 \(r\)-Qsym is free over Sym. Zbl 1115.05094 Garsia, A. M.; Wallach, N. 2 2007 Permutation q-enumeration with the Schur row adder. Zbl 1265.05036 Garsia, Adriano M. 2 2010 Combinatorial inequalities and convergence of some orthonormal expansions with an appendix by J.A.R. Holbrock. Zbl 0182.39603 Garsia, A. M. 2 1968 On the smoothness of functions satisfying certain integral inequalities. Zbl 0286.26004 Garsia, Adriano M. 2 1970 Lectures in algebraic combinatorics. Young’s construction, seminormal representations, \(\mathfrak{sl}(2)\) representations, heaps, basics on finite fields. Zbl 1462.05001 Garsia, Adriano M.; Eğecioğlu, Ömer 3 2020 On the sweep map for fuss rational Dyck paths. Zbl 1433.05320 Garsia, Adriano M.; Xin, Guoce 1 2020 A proof of the delta conjecture when \(q=0\). Zbl 1416.05286 Garsia, Adriano; Haglund, Jim; Remmel, Jeffrey B.; Yoo, Meesue 20 2019 Five-term relation and Macdonald polynomials. Zbl 1403.05158 Garsia, Adriano; Mellit, Anton 6 2019 Exploring a delta Schur conjecture. Zbl 1417.05240 Garsia, Adriano; Liese, Jeffrey; Remmel, Jeffrey B.; Yoo, Meesue 1 2019 Some new symmetric function tools and their applications. Zbl 1417.05241 Garsia, A.; Haglund, J.; Romero, M. 1 2019 Inverting the rational sweep map. Zbl 1401.05041 Garsia, Adriano; Xin, Guoce 7 2018 A new plethystic symmetric function operator and the rational compositional shuffle conjecture at \(t=1/q\). Zbl 1355.05254 Garsia, Adriano; Sergel Leven, Emily; Wallach, Nolan; Xin, Guoce 6 2017 Dinv and area. Zbl 1358.05022 Garsia, Adriano; Xin, Guoce 4 2017 Compositional \((km,kn)\)-shuffle conjectures. Zbl 1404.05213 Bergeron, Francois; Garsia, Adriano; Leven, Emily Sergel; Xin, Guoce 34 2016 Some remarkable new plethystic operators in the theory of Macdonald polynomials. Zbl 1350.05173 Bergeron, Francois; Garsia, Adriano; Leven, Emily Sergel; Xin, Guoce 10 2016 Some new applications of the Stanley-Macdonald Pieri rules. Zbl 1364.05078 Garsia, Adriano; Haglund, Jim; Xin, Guoce; Zabrocki, Mike 4 2016 Combinatorics of labelled parallelogram polyominoes. Zbl 1307.05045 Aval, J.-C.; Bergeron, F.; Garsia, A. 6 2015 A polynomial expression for the character of diagonal harmonics. Zbl 1326.05007 Garsia, A.; Haglund, J. 3 2015 Constant term methods in the theory of Tesler matrices and Macdonald polynomial operators. Zbl 1297.05240 Garsia, A. M.; Haglund, J.; Xin, G. 6 2014 Proof of the 2-part compositional shuffle conjecture. Zbl 1312.05141 Garsia, Adriano M.; Xin, Gouce; Zabrocki, Mike 1 2014 A three shuffle case of the compositional parking function conjecture. Zbl 1281.05127 Garsia, Adriano M.; Xin, Guoce; Zabrocki, Mike 1 2014 A new “dinv” arising from the two part case of the shuffle conjecture. Zbl 1268.05228 Duane, A.; Garsia, A. M.; Zabrocki, M. 1 2013 Combinatorics of Tesler matrices in the theory of parking functions and diagonal harmonics. Zbl 1291.05203 Armstrong, D.; Garsia, A.; Haglund, J.; Rhoades, B.; Sagan, B. 13 2012 Hall-Littlewood operators in the theory of parking functions and diagonal harmonics. Zbl 1238.05273 Garsia, A. M.; Xin, G.; Zabrocki, M. 10 2012 Kronecker coefficients via symmetric functions and constant term identities. Zbl 1242.05269 Garsia, Adriano; Wallach, Nolan; Xin, Guoce; Zabrocki, Mike 10 2012 The case \(k=2\) of the shuffle conjecture. Zbl 1247.05260 Garsia, Adriano; Hicks, Angela; Stout, Andrew 6 2011 Permutation q-enumeration with the Schur row adder. Zbl 1265.05036 Garsia, Adriano M. 2 2010 Character polynomials, their \(q\)-analogs and the Kronecker product. Zbl 1216.20003 Garsia, A. M.; Goupil, A. 12 2009 Invariants, Kronecker products, and combinatorics of some remarkable Diophantine systems. Zbl 1203.05009 Garsia, Adriano; Musiker, Gregg; Wallach, Nolan; Xin, Guoce 6 2009 Hilbert series of invariants, constant terms and Kostka-Foulkes polynomials. Zbl 1228.05289 Garsia, A.; Wallach, N.; Xin, G.; Zabrocki, M. 3 2009 A kicking basis for the two column Garsia-Haiman modules. Zbl 1391.05255 Assaf, S.; Garsia, A. 2 2009 \(r\)-Qsym is free over Sym. Zbl 1115.05094 Garsia, A. M.; Wallach, N. 2 2007 The non-degeneracy of the bilinear form of \(m\)-quasi-invariants. Zbl 1171.20313 Garsia, A. M.; Wallach, N. 3 2006 Breakthroughs in the theory of Macdonald polynomials. Zbl 1208.05148 Garsia, Adriano; Remmel, Jeffrey B. 7 2005 Combinatorial aspects of the Baker-Akhiezer functions for \(S_2\). Zbl 1055.05157 Garsia, A. M.; Wallach, N. 2 2004 Qsym over Sym is free. Zbl 1032.05139 Garsia, A. M.; Wallach, N. 6 2003 Some new applications of orbit harmonics. Zbl 1091.13005 Garsia, A. M.; Wallach, N. R. 2 2003 A proof of the \(q,t\)-Catalan positivity conjecture. Zbl 1028.05115 Garsia, A. M.; Haglund, J. 59 2002 A positivity result in the theory of Macdonald polynomials. Zbl 1066.05144 Garsia, A. M.; Haglund, J. 18 2001 Polynomiality of the \(q,t\)-Kostka revisited. Zbl 0969.05063 Garsia, A. M.; Zabrocki, M. 1 2001 Multiple left regular representations generated by alternants. Zbl 0963.05135 Bergeron, François; Garsia, Adriano; Tesler, Glenn 9 2000 Identities and positivity conjectures for some remarkable operators in the theory of symmetric functions. Zbl 0956.33011 Bergeron, F.; Garsia, A. M.; Haiman, M.; Tesler, G. 45 1999 Science fiction and Macdonald’s polynomials. Zbl 0947.20009 Bergeron, F.; Garsia, A. M. 40 1999 Explicit plethystic formulas for Macdonald \((q,t)\)-Kostka coefficients. Zbl 0920.05071 Garsia, Adriano; Haiman, Mark; Tesler, Glenn 23 1999 Lattice diagram polynomials and extended Pieri rules. Zbl 0934.05122 Bergeron, François; Bergeron, Nantel; Garsia, Adriano M.; Haiman, Mark; Tesler, Glenn 17 1999 A random \(q,t\)-hook walk and a sum of Pieri coefficients. Zbl 0908.05082 Garsia, A. M.; Haiman, M. 14 1998 Plethystic formulas and positvity for \(q,t\)-Kostka coefficients. Zbl 0910.05067 Garsia, A. M.; Remmel, J. 5 1998 A remarkable \(q,t\)-Catalan sequence and \(q\)-Lagrange inversion. Zbl 0853.05008 Garsia, A. M.; Haiman, M. 124 1996 Plethystic formulas for Macdonald \(q,t\)-Kostka coefficients. Zbl 0865.05075 Garsia, A. M.; Tesler, G. 33 1996 Some natural bigraded \(S_ n\)-modules and \(q,t\)-Kostka coefficients. Zbl 0851.05099 Garsia, A. M.; Haiman, M. 21 1996 Factorizations of Pieri rules for Macdonald polynomials. Zbl 0826.05056 Garsia, A. M.; Haiman, M. 10 1995 A graded representation model for Macdonald’s polynomials. Zbl 0831.05062 Garsia, Adriano M.; Haiman, Mark 71 1993 On certain graded \(S_ n\)-modules and the \(q\)-Kostka polynomials. Zbl 0797.20012 Garsia, A. M.; Procesi, C. 93 1992 Orthogonality of Milne’s polynomials and raising operators. Zbl 0763.05100 Garsia, Adriano M. 18 1992 On certain spaces of harmonic polynomials. Zbl 0798.05073 Bergeron, N.; Garsia, A. M. 13 1992 Homomorphisms between Solomon’s descent algebras. Zbl 0770.20008 Bergeron, F.; Garsia, A.; Reutenauer, C. 12 1992 Zonal polynomials and domino tableaux. Zbl 0759.05098 Bergeron, Nantel; Garsia, Adriano M. 7 1992 Combinatorics of the free Lie algebra and the symmetric group. Zbl 0709.17003 Garsia, Adriano M. 23 1990 Idempotents for the free Lie algebra and q-enumeration. Zbl 0721.17006 Bergeron, F.; Bergeron, N.; Garsia, A. M. 21 1990 Sergeev’s formula and the Littlewood-Richardson rule. Zbl 0732.05060 Bergeron, N.; Garsia, A. M. 9 1990 A decomposition of Solomon’s descent algebra. Zbl 0716.20006 Garsia, A. M.; Reutenauer, C. 73 1989 Combinatorial aspects of skew representations of the symmetric group. Zbl 0691.20011 Garsia, A. M.; Wachs, M. L. 9 1989 Relations between Young’s natural and the Kazhdan-Lusztig representations of \(S_ n\). Zbl 0657.20014 Garsia, A. M.; McLarnan, T. J. 47 1988 Q-counting rook configurations and a formula of Frobenius. Zbl 0598.05007 Garsia, A. M.; Remmel, J. B. 77 1986 A novel form of \(q\)-Lagrange inversion. Zbl 0616.05006 Garsia, A. M.; Remmel, J. 8 1986 Raising operators and Young’s rule. Zbl 0626.20004 Garsia, A. M. 4 1986 Shuffles of permutations and the Kronecker product. Zbl 0588.05005 Garsia, A. M.; Remmel, J. 54 1985 A combinatorial view of Andrews’ proof of the L-M-W conjectures. Zbl 0614.05006 Garsia, A. M.; Remmel, J. 2 1985 Group actions on Stanley-Reisner rings and invariants of permutation groups. Zbl 0561.06002 Garsia, A. M.; Stanton, D. 53 1984 Algorithms for plethysm. Zbl 0556.20013 Chen, Y. M.; Garsia, A. M.; Remmel, J. 35 1984 An introduction to Cohen-Macaulay partially ordered sets. Zbl 0491.06005 Bjoerner, A.; Garsia, A. M.; Stanley, R. P. 19 1982 A Rogers-Ramanujan bijection. Zbl 0477.05009 Garsia, A. M.; Milne, S. C. 49 1981 Combinatorial decompositions of a class of rings. Zbl 0466.13003 Baclawski, Kenneth; Garsia, Adriano M. 32 1981 Method for constructing bijections for classical partition identities. Zbl 0464.05007 Garsia, A. M.; Milne, S. C. 31 1981 A q-analogue of the Lagrange inversion formula. Zbl 0481.05006 Garsia, Adriano M. 20 1981 Symmetric functions and raising operators. Zbl 0463.20010 Garsia, A. M.; Remmel, J. 18 1981 Combinatorial methods in the theory of Cohen-Macaulay rings. Zbl 0461.06002 Garsia, Adriano M. 67 1980 A combinatorial interpretation of q-derangement and q-Laguerre numbers. Zbl 0462.05012 Garsia, A. M.; Remmel, J. 28 1980 Composition sequences. Zbl 0526.05006 Garsia, A. M.; Joni, S. A. 9 1980 Permutation statistics and partitions. Zbl 0431.05007 Garsia, A. M.; Gessel, I. 69 1979 On the ”maj” and ”inv” q-analogues of Eulerian polynomials. Zbl 0442.05002 Garsia, Adriano M. 21 1979 Méthodes combinatoires dans la théorie des anneaux de Cohen-Macaulay. Zbl 0401.13014 Garsia, Adriano M. 4 1979 On the raising operators of Alfred Young. Zbl 0426.20009 Garsia, A. M.; Remmel, J. B. 4 1979 A combinatorial approach to the Mehler formulas for Hermite polynomials. Zbl 0458.33012 Foata, Dominique; Garsia, Adriano M. 4 1979 Higher dimensional polynomials of binomial type and formal power series inversion. Zbl 0378.05009 Garsia, A. M.; Joni, S. A. 19 1978 A new expression for umbral operators and power series inversion. Zbl 0376.05003 Garsia, A. M.; Joni, S. A. 25 1977 A new algorithm for minimum cost binary trees. Zbl 0366.68028 Garsia, Adriano M.; Wachs, Michelle L. 18 1977 A remarkable inequality and the uniform convergence of Fourier series. Zbl 0324.42005 Garsia, Adriano M. 8 1976 Combinatorial inequalities and smoothness of functions. Zbl 0351.26005 Garsia, Adriano M. 6 1976 Monotonicity of certain functionals under rearrangement. Zbl 0351.60015 Garsia, A. M.; Rodemich, E. 1 1975 Monotonicity of certain functionals under rearrangement. Zbl 0274.26006 Garsia, Adriano; Rodemich, Eugène 40 1974 Martingale inequalities. Seminar notes on recent progress. Zbl 0284.60046 Garsia, Adriano M. 175 1973 An expose of the Mullin-Rota theory of polynomials of binomial type. Zbl 0287.05008 Garsia, Adriano M. 33 1973 On a convex function inequality for martingales. Zbl 0289.60026 Garsia, Adriano M. 13 1973 The Burgess Davis inequalities via Fefferman’s inequality. Zbl 0294.60037 Garsia, Adriano M. 3 1973 Continuity properties of Gaussian processes with multidimensional time parameter. Zbl 0272.60034 Garsia, Adriano M. 26 1972 A real variable lemma and the continuity of paths of some Gaussian processes. Zbl 0252.60020 Garsia, A. M.; Rodemich, E.; Rumsey, H. jun. 121 1970 Topics in almost everywhere convergence. Zbl 0198.38401 Garsia, Adriano M. 91 1970 On the smoothness of functions satisfying certain integral inequalities. Zbl 0286.26004 Garsia, Adriano M. 2 1970 On some extremal positive definite functions. Zbl 0191.06002 Garsia, A.; Rodemich, E.; Rumsey, H. 14 1969 Some properties of the measures on function spaces induced by Gaussian processes. Zbl 0155.23801 Garsia, A. M.; Posner, E. C.; Rodemich, E. R. 3 1968 Combinatorial inequalities and convergence of some orthonormal expansions with an appendix by J.A.R. Holbrock. Zbl 0182.39603 Garsia, A. M. 2 1968 More about the maximal ergodic lemma of Brunel. Zbl 0147.34004 Garsia, Adriano M. 5 1967 On functions satisfying the mean value property with respect to a product measure. Zbl 0178.05004 Garsia, A. M.; Rodemich, E. 3 1966 ...and 15 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,673 Authors 49 Garsia, Adriano M. 39 Remmel, Jeffrey Brian 28 Bergeron, Nantel 28 Rhoades, Brendon 27 Weisz, Ferenc 25 Loehr, Nicholas A. 21 Haglund, James 18 Jiao, Yong 18 Roichman, Yuval 17 Bergeron, François 15 Gorsky, Eugene 15 Zabrocki, Mike 14 Haiman, Mark D. 14 Morse, Jennifer 14 Wachs, Michelle Lynn 13 D’Adderio, Michele 12 Reiner, Victor 11 Adin, Ron M. 11 Aval, Jean-Christophe 11 Milman, Mario Marcos 11 Terhesiu, Dalia 11 Wu, Lian 11 Xin, Guoce 10 Blasiak, Jonah 10 Feng, De-Jun 10 Iraci, Alessandro 10 Konvalinka, Matjaž 10 Lapointe, Luc 10 Reutenauer, Christophe 10 Shimozono, Mark 10 Simion, Rodica E. 10 Stanley, Richard Peter 10 Wilson, Andrew Timothy 9 Diaconis, Persi Warren 9 Gessel, Ira Martin 9 Hare, Kevin G. 9 Jing, Naihuan 9 Joni, S. A. 9 Mellit, Anton S. 9 Orellana, Rosa C. 9 Osękowski, Adam 9 Vanden Wyngaerd, Anna 9 White, Dennis E. 9 Zhou, Dejian 8 Allen, Edward E. 8 Björner, Anders 8 Hao, Zhiwei 8 Krattenthaler, Christian Friedrich 8 Morales, Alejandro Henry 8 Pak, Igor 8 Randrianantoanina, Narcisse 8 Schocker, Manfred 8 Stanton, Dennis W. 8 Wallach, Nolan Russell 8 Warrington, Gregory S. 8 Zeilberger, Doron 8 Zeng, Jiang 7 Biagioli, Riccardo 7 Brenti, Francesco 7 Corteel, Sylvie 7 Hausel, Tamás 7 Kazamaki, Norihiko 7 Lau, Kasing 7 Mazin, Mikhail 7 Nualart, David 7 Rawlings, Don 7 Rosenblatt, Joseph Max 7 Rota, Gian-Carlo 7 Sagan, Bruce Eli 7 Schlosser, Michael J. 7 Sidorov, Nikita A. 7 Tindel, Samy 7 Van Willigenburg, Stephanie J. 7 Yoo, Meesue 6 Baclawski, Kenneth 6 Barnabei, Marilena 6 Brini, Andrea 6 Ding, Kequan 6 Foata, Dominique C. 6 Fulman, Jason E. 6 Goulden, Ian P. 6 Griffin, Sean T. 6 Hu, Yaozhong 6 Jackson, David M. 6 Le, Khoa 6 Letellier, Emmanuel 6 Li, Libo 6 Melbourne, Ian 6 Mishura, Yuliya Stepanivna 6 Ondreját, Martin 6 Ram, Arun 6 Regev, Amitai 6 Rodriguez-Villegas, Fernando 6 Romero, Marino 6 Tymoczko, Julianna S. 6 Xie, Guangheng 6 Xu, Quanhua 6 Yu, Lin 5 Bessenrodt, Christine 5 Blessenohl, Dieter ...and 1,573 more Authors all top 5 Cited in 282 Serials 129 Journal of Combinatorial Theory. Series A 98 Advances in Mathematics 89 Discrete Mathematics 70 Journal of Algebraic Combinatorics 59 Advances in Applied Mathematics 55 Transactions of the American Mathematical Society 51 European Journal of Combinatorics 46 Journal of Algebra 44 Journal of Mathematical Analysis and Applications 44 The Electronic Journal of Combinatorics 37 Proceedings of the American Mathematical Society 37 Séminaire Lotharingien de Combinatoire 30 Annals of Combinatorics 29 Journal of Functional Analysis 29 Stochastic Processes and their Applications 25 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 24 Algebraic Combinatorics 23 Statistics & Probability Letters 22 Israel Journal of Mathematics 22 Probability Theory and Related Fields 20 Analysis Mathematica 19 The Annals of Probability 17 Duke Mathematical Journal 16 Linear and Multilinear Algebra 15 Inventiones Mathematicae 15 Mathematische Zeitschrift 15 Journal of Theoretical Probability 13 Journal of Pure and Applied Algebra 13 Monatshefte für Mathematik 13 Ergodic Theory and Dynamical Systems 12 Acta Mathematica Hungarica 11 Selecta Mathematica. New Series 9 Communications in Algebra 9 Communications in Mathematical Physics 9 Journal d’Analyse Mathématique 9 Mathematical Notes 9 Mathematische Annalen 9 The Annals of Applied Probability 9 Electronic Journal of Probability 8 Tôhoku Mathematical Journal. Second Series 8 Journal of the American Mathematical Society 8 Journal of Mathematical Sciences (New York) 7 Journal of Statistical Physics 7 Letters in Mathematical Physics 7 Annales de l’Institut Fourier 7 Archiv der Mathematik 7 Journal of Number Theory 7 Bernoulli 7 The Journal of Fourier Analysis and Applications 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Arkiv för Matematik 6 Journal of Statistical Planning and Inference 6 Memoirs of the American Mathematical Society 6 Studies in Applied Mathematics 6 Theoretical Computer Science 6 Aequationes Mathematicae 6 Bulletin of the American Mathematical Society. New Series 6 Indagationes Mathematicae. New Series 6 The Ramanujan Journal 6 Bulletin of the American Mathematical Society 6 Forum of Mathematics, Sigma 5 Journal of Approximation Theory 5 Mathematische Nachrichten 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 Graphs and Combinatorics 5 SIAM Journal on Discrete Mathematics 5 International Journal of Algebra and Computation 5 Proceedings of the National Academy of Sciences of the United States of America 5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 5 Annals of Mathematics. Second Series 5 Acta Mathematica Sinica. English Series 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Enumerative Combinatorics and Applications 4 Rocky Mountain Journal of Mathematics 4 Mathematics of Computation 4 Bulletin of the London Mathematical Society 4 Compositio Mathematica 4 Journal of Combinatorial Theory. Series B 4 Journal of the London Mathematical Society. Second Series 4 Pacific Journal of Mathematics 4 Stochastic Analysis and Applications 4 Experimental Mathematics 4 Annales Henri Poincaré 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Stochastics 4 Science China. Mathematics 3 Nuclear Physics. B 3 Periodica Mathematica Hungarica 3 Studia Mathematica 3 Chaos, Solitons and Fractals 3 Acta Mathematica 3 Bulletin de la Société Mathématique de France 3 Journal of Multivariate Analysis 3 Nagoya Mathematical Journal 3 Discrete & Computational Geometry 3 Revista Matemática Iberoamericana 3 The Journal of Geometric Analysis 3 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série ...and 182 more Serials all top 5 Cited in 58 Fields 907 Combinatorics (05-XX) 414 Probability theory and stochastic processes (60-XX) 306 Group theory and generalizations (20-XX) 153 Number theory (11-XX) 153 Harmonic analysis on Euclidean spaces (42-XX) 138 Functional analysis (46-XX) 123 Algebraic geometry (14-XX) 106 Measure and integration (28-XX) 95 Commutative algebra (13-XX) 86 Nonassociative rings and algebras (17-XX) 82 Associative rings and algebras (16-XX) 78 Dynamical systems and ergodic theory (37-XX) 73 Special functions (33-XX) 66 Order, lattices, ordered algebraic structures (06-XX) 48 Operator theory (47-XX) 44 Real functions (26-XX) 38 Manifolds and cell complexes (57-XX) 37 Convex and discrete geometry (52-XX) 36 Partial differential equations (35-XX) 32 Computer science (68-XX) 31 Quantum theory (81-XX) 27 Linear and multilinear algebra; matrix theory (15-XX) 26 Algebraic topology (55-XX) 26 Statistical mechanics, structure of matter (82-XX) 22 Statistics (62-XX) 20 Topological groups, Lie groups (22-XX) 18 Functions of a complex variable (30-XX) 18 Abstract harmonic analysis (43-XX) 15 Difference and functional equations (39-XX) 14 Category theory; homological algebra (18-XX) 13 Approximations and expansions (41-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Several complex variables and analytic spaces (32-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Sequences, series, summability (40-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 11 Differential geometry (53-XX) 11 Numerical analysis (65-XX) 9 Potential theory (31-XX) 8 Mathematical logic and foundations (03-XX) 7 \(K\)-theory (19-XX) 7 Ordinary differential equations (34-XX) 7 Geometry (51-XX) 7 Operations research, mathematical programming (90-XX) 6 Field theory and polynomials (12-XX) 6 Information and communication theory, circuits (94-XX) 5 History and biography (01-XX) 4 Integral equations (45-XX) 4 Biology and other natural sciences (92-XX) 3 General and overarching topics; collections (00-XX) 3 Integral transforms, operational calculus (44-XX) 3 Systems theory; control (93-XX) 2 General topology (54-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 2 Relativity and gravitational theory (83-XX) 1 General algebraic systems (08-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.