Berget, Andrew; Spink, Hunter; Tseng, Dennis Log-concavity of matroid \(h\)-vectors and mixed Eulerian numbers. (English) Zbl 07810676 Duke Math. J. 172, No. 18, 3475-3520 (2023). MSC: 52B40 14M15 14M25 PDFBibTeX XMLCite \textit{A. Berget} et al., Duke Math. J. 172, No. 18, 3475--3520 (2023; Zbl 07810676) Full Text: DOI arXiv Link
Cohen, Alex; Moshkovitz, Guy Partition and analytic rank are equivalent over large fields. (English) Zbl 07783720 Duke Math. J. 172, No. 12, 2433-2470 (2023). MSC: 11B30 15A69 PDFBibTeX XMLCite \textit{A. Cohen} and \textit{G. Moshkovitz}, Duke Math. J. 172, No. 12, 2433--2470 (2023; Zbl 07783720) Full Text: DOI arXiv Link
Ayyer, Arvind; Chhita, Sunil; Johansson, Kurt GOE fluctuations for the maximum of the top path in alternating sign matrices. (English) Zbl 07732799 Duke Math. J. 172, No. 10, 1961-2014 (2023). MSC: 60K35 05A10 82B20 82B23 PDFBibTeX XMLCite \textit{A. Ayyer} et al., Duke Math. J. 172, No. 10, 1961--2014 (2023; Zbl 07732799) Full Text: DOI arXiv Link
Harel, Matan; Mousset, Frank; Samotij, Wojciech Upper tails via high moments and entropic stability. (English) Zbl 1500.60002 Duke Math. J. 171, No. 10, 2089-2192 (2022). Reviewer: Yilun Shang (Newcastle upon Tyne) MSC: 60C05 60F10 05C80 PDFBibTeX XMLCite \textit{M. Harel} et al., Duke Math. J. 171, No. 10, 2089--2192 (2022; Zbl 1500.60002) Full Text: DOI arXiv
Ellis, David; Lifshitz, Noam Approximation by juntas in the symmetric group, and forbidden intersection problems. (English) Zbl 1490.05262 Duke Math. J. 171, No. 7, 1417-1467 (2022). MSC: 05D05 05A05 PDFBibTeX XMLCite \textit{D. Ellis} and \textit{N. Lifshitz}, Duke Math. J. 171, No. 7, 1417--1467 (2022; Zbl 1490.05262) Full Text: DOI arXiv Link
Mellit, Anton Toric braids and \((m,n)\)-parking functions. (English) Zbl 1481.05011 Duke Math. J. 170, No. 18, 4123-4169 (2021). MSC: 05A15 05E05 05E10 20C08 20F36 PDFBibTeX XMLCite \textit{A. Mellit}, Duke Math. J. 170, No. 18, 4123--4169 (2021; Zbl 1481.05011) Full Text: DOI arXiv
Huang, Jiaoyang Invertibility of adjacency matrices for random \(d\)-regular graphs. (English) Zbl 1512.15003 Duke Math. J. 170, No. 18, 3977-4032 (2021). MSC: 15A09 05C80 05C50 15B52 PDFBibTeX XMLCite \textit{J. Huang}, Duke Math. J. 170, No. 18, 3977--4032 (2021; Zbl 1512.15003) Full Text: DOI arXiv
Galashin, Pavel; Pylyavskyy, Pavlo Ising model and the positive orthogonal Grassmannian. (English) Zbl 1446.82008 Duke Math. J. 169, No. 10, 1877-1942 (2020). MSC: 82B20 14M15 15B48 05C50 PDFBibTeX XMLCite \textit{P. Galashin} and \textit{P. Pylyavskyy}, Duke Math. J. 169, No. 10, 1877--1942 (2020; Zbl 1446.82008) Full Text: DOI arXiv Euclid
Bufetov, Alexey; Gorin, Vadim Fourier transform on high-dimensional unitary groups with applications to random tilings. (English) Zbl 1436.60016 Duke Math. J. 168, No. 13, 2559-2649 (2019). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 60B15 22E65 60K35 PDFBibTeX XMLCite \textit{A. Bufetov} and \textit{V. Gorin}, Duke Math. J. 168, No. 13, 2559--2649 (2019; Zbl 1436.60016) Full Text: DOI arXiv Euclid
Mellit, Anton Integrality of Hausel-Letellier-Villegas kernels. (English) Zbl 1411.14040 Duke Math. J. 167, No. 17, 3171-3205 (2018). Reviewer: Nikita Nikolaev (Genéve) MSC: 14H60 05E05 PDFBibTeX XMLCite \textit{A. Mellit}, Duke Math. J. 167, No. 17, 3171--3205 (2018; Zbl 1411.14040) Full Text: DOI arXiv Euclid
Dołęga, Maciej; Féray, Valentin Gaussian fluctuations of Young diagrams and structure constants of Jack characters. (English) Zbl 1338.60017 Duke Math. J. 165, No. 7, 1193-1282 (2016). MSC: 60C05 60B20 05E05 PDFBibTeX XMLCite \textit{M. Dołęga} and \textit{V. Féray}, Duke Math. J. 165, No. 7, 1193--1282 (2016; Zbl 1338.60017) Full Text: DOI arXiv Euclid
Borodin, Alexei; Corwin, Ivan; Gorin, Vadim Stochastic six-vertex model. (English) Zbl 1343.82013 Duke Math. J. 165, No. 3, 563-624 (2016). Reviewer: Piotr Garbaczewski (Opole) MSC: 82B20 82B23 82C24 15B51 82C22 82C20 37P30 81R12 60J10 PDFBibTeX XMLCite \textit{A. Borodin} et al., Duke Math. J. 165, No. 3, 563--624 (2016; Zbl 1343.82013) Full Text: DOI arXiv Euclid
Bukh, Boris; Matoušek, Jiří Erdős-Szekeres-type statements: Ramsey function and decidability in dimension 1. (English) Zbl 1301.05351 Duke Math. J. 163, No. 12, 2243-2270 (2014). MSC: 05D10 52C45 PDFBibTeX XMLCite \textit{B. Bukh} and \textit{J. Matoušek}, Duke Math. J. 163, No. 12, 2243--2270 (2014; Zbl 1301.05351) Full Text: DOI arXiv Euclid
Draisma, Jan; Kuttler, Jochen Bounded-rank tensors are defined in bounded degree. (English) Zbl 1314.14109 Duke Math. J. 163, No. 1, 35-63 (2014). Reviewer: Alessandro Gimigliano (Bologna) MSC: 14Q15 15A69 13E05 PDFBibTeX XMLCite \textit{J. Draisma} and \textit{J. Kuttler}, Duke Math. J. 163, No. 1, 35--63 (2014; Zbl 1314.14109) Full Text: DOI arXiv Euclid
Conlon, David; Fox, Jacob; Sudakov, Benny Two extensions of Ramsey’s theorem. (English) Zbl 1280.05083 Duke Math. J. 162, No. 15, 2903-2927 (2013). MSC: 05C55 05D10 05D40 05C15 PDFBibTeX XMLCite \textit{D. Conlon} et al., Duke Math. J. 162, No. 15, 2903--2927 (2013; Zbl 1280.05083) Full Text: DOI arXiv Link
Nguyen, Hoi H. Inverse Littlewood-Offord problems and the singularity of random symmetric matrices. (English) Zbl 1276.15019 Duke Math. J. 161, No. 4, 545-586 (2012). Reviewer: Costică Moroşanu (Iaşi) MSC: 15B52 11B30 11M50 60B20 15A63 PDFBibTeX XMLCite \textit{H. H. Nguyen}, Duke Math. J. 161, No. 4, 545--586 (2012; Zbl 1276.15019) Full Text: DOI arXiv Euclid
Corteel, Sylvie; Williams, Lauren K. Tableaux combinatorics for the asymmetric exclusion process and Askey-Wilson polynomials. (English) Zbl 1246.05170 Duke Math. J. 159, No. 3, 385-415 (2011); erratum ibid. 162, No. 15, 2987-2996 (2013). Reviewer: M. Rafiq Omar (Bellville) MSC: 05E10 82B23 60C05 PDFBibTeX XMLCite \textit{S. Corteel} and \textit{L. K. Williams}, Duke Math. J. 159, No. 3, 385--415 (2011; Zbl 1246.05170) Full Text: DOI arXiv
Schoen, Tomasz Near optimal bounds in Freiman’s theorem. (English) Zbl 1242.11074 Duke Math. J. 158, No. 1, 1-12 (2011). Reviewer: Sun Zhi-Wei (Nanjing) MSC: 11P70 11B13 11B25 PDFBibTeX XMLCite \textit{T. Schoen}, Duke Math. J. 158, No. 1, 1--12 (2011; Zbl 1242.11074) Full Text: DOI Link
Bryan, Jim; Young, Benjamin Generating functions for colored 3D Young diagrams and the Donaldson-Thomas invariants of orbifolds. (English) Zbl 1230.05019 Duke Math. J. 152, No. 1, 115-153 (2010). MSC: 05A15 05A18 14J32 PDFBibTeX XMLCite \textit{J. Bryan} and \textit{B. Young}, Duke Math. J. 152, No. 1, 115--153 (2010; Zbl 1230.05019) Full Text: DOI arXiv
Krattenthaler, Christian; Rivoal, Tanguy On the integrality of the Taylor coefficients of mirror maps. (English) Zbl 1267.11077 Duke Math. J. 151, No. 2, 175-218 (2010). MSC: 11G42 14J33 11F30 11S80 12H25 14J32 33C20 PDFBibTeX XMLCite \textit{C. Krattenthaler} and \textit{T. Rivoal}, Duke Math. J. 151, No. 2, 175--218 (2010; Zbl 1267.11077) Full Text: DOI arXiv
Kashiwara, Masaki; Shimozono, Mark Equivariant \(K\)-theory of affine flag manifolds and affine Grothendieck polynomials. (English) Zbl 1173.19004 Duke Math. J. 148, No. 3, 501-538 (2009). Reviewer: Do Ngoc Diep (Hanoi) MSC: 19L47 14M17 17B67 22E65 PDFBibTeX XMLCite \textit{M. Kashiwara} and \textit{M. Shimozono}, Duke Math. J. 148, No. 3, 501--538 (2009; Zbl 1173.19004) Full Text: DOI arXiv
Duncan, John F. Super-moonshine for Conway’s largest sporadic group. (English) Zbl 1171.17011 Duke Math. J. 139, No. 2, 255-315 (2007). Reviewer: Hiromichi Yamada (Tokyo) MSC: 17B69 20D08 PDFBibTeX XMLCite \textit{J. F. Duncan}, Duke Math. J. 139, No. 2, 255--315 (2007; Zbl 1171.17011) Full Text: DOI arXiv
Totaro, Burt The torsion index of the spin groups. (English) Zbl 1094.57031 Duke Math. J. 129, No. 2, 249-290 (2005). Reviewer: Daniel Tanré (Villeneuve d’ Ascq) MSC: 57T10 PDFBibTeX XMLCite \textit{B. Totaro}, Duke Math. J. 129, No. 2, 249--290 (2005; Zbl 1094.57031) Full Text: DOI
Liebeck, Martin W.; Martin, Benjamin M. S.; Shalev, Aner On conjugacy classes of maximal subgroups of finite simple groups, and a related zeta function. (English) Zbl 1103.20010 Duke Math. J. 128, No. 3, 541-557 (2005). Reviewer: Victor Mazurov (Novosibirsk) MSC: 20D06 20E28 11M41 20E45 20B35 PDFBibTeX XMLCite \textit{M. W. Liebeck} et al., Duke Math. J. 128, No. 3, 541--557 (2005; Zbl 1103.20010) Full Text: DOI Euclid
Postnikov, Alexander Affine approach to quantum Schubert calculus. (English) Zbl 1081.14070 Duke Math. J. 128, No. 3, 473-509 (2005). Reviewer: V. Lakshmibai (Boston) MSC: 14M15 14N35 PDFBibTeX XMLCite \textit{A. Postnikov}, Duke Math. J. 128, No. 3, 473--509 (2005; Zbl 1081.14070) Full Text: DOI arXiv Euclid
Haglund, J.; Haiman, M.; Loehr, N.; Remmel, J. B.; Ulyanov, A. A combinatorial formula for the character of the diagonal coinvariants. (English) Zbl 1069.05077 Duke Math. J. 126, No. 2, 195-232 (2005). Reviewer: Vesselin Drensky (Sofia) MSC: 05E10 05A30 20C30 PDFBibTeX XMLCite \textit{J. Haglund} et al., Duke Math. J. 126, No. 2, 195--232 (2005; Zbl 1069.05077) Full Text: DOI arXiv
Tracy, Craig A.; Widom, Harold A limit theorem for shifted Schur measures. (English) Zbl 1060.60025 Duke Math. J. 123, No. 1, 171-208 (2004). Reviewer: Fabio Scarabotti (Roma) MSC: 60F05 05E05 05E10 33E17 47B35 PDFBibTeX XMLCite \textit{C. A. Tracy} and \textit{H. Widom}, Duke Math. J. 123, No. 1, 171--208 (2004; Zbl 1060.60025) Full Text: DOI arXiv
Lyons, Russell; Steif, Jeffrey E. Stationary determinantal processes: phase multiplicity, Bernoullicity, entropy, and domination. (English) Zbl 1068.82010 Duke Math. J. 120, No. 3, 515-575 (2003). Reviewer: Arnaud Le Ny (Orsay) MSC: 82B26 28D05 60G10 82B20 37A05 37A25 PDFBibTeX XMLCite \textit{R. Lyons} and \textit{J. E. Steif}, Duke Math. J. 120, No. 3, 515--575 (2003; Zbl 1068.82010) Full Text: DOI arXiv
Borodin, Alexei Discrete gap probabilities and discrete Painlevé equations. (English) Zbl 1034.39013 Duke Math. J. 117, No. 3, 489-542 (2003). MSC: 39A20 35Q15 37K10 39A12 PDFBibTeX XMLCite \textit{A. Borodin}, Duke Math. J. 117, No. 3, 489--542 (2003; Zbl 1034.39013) Full Text: DOI arXiv
Leung, Naichung Conan; Reiner, Victor The signature of a toric variety. (English) Zbl 1062.14067 Duke Math. J. 111, No. 2, 253-286 (2002). Reviewer: Dmitri A. Timashev (Moskva) MSC: 14M25 52B05 52B20 57R20 PDFBibTeX XMLCite \textit{N. C. Leung} and \textit{V. Reiner}, Duke Math. J. 111, No. 2, 253--286 (2002; Zbl 1062.14067) Full Text: DOI arXiv
Lev, Vsevolod F. Linear equations over \(\mathbb F_ p\) and moments of exponential sums. (English) Zbl 1035.11007 Duke Math. J. 107, No. 2, 239-263 (2001). Reviewer: Alain Plagne (Palaiseau) MSC: 11B75 11D04 11L07 42C20 PDFBibTeX XMLCite \textit{V. F. Lev}, Duke Math. J. 107, No. 2, 239--263 (2001; Zbl 1035.11007) Full Text: DOI
Liebeck, Martin W.; Pyber, L. Finite linear groups and bounded generation. (English) Zbl 1017.20039 Duke Math. J. 107, No. 1, 159-171 (2001). Reviewer: Robert Guralnick (Los Angeles) MSC: 20G40 20E18 20F05 20D40 PDFBibTeX XMLCite \textit{M. W. Liebeck} and \textit{L. Pyber}, Duke Math. J. 107, No. 1, 159--171 (2001; Zbl 1017.20039) Full Text: DOI
VanderKam, Jeffrey M. The rank of quotients of \(J_0(N)\). (English) Zbl 1013.11030 Duke Math. J. 97, No. 3, 545-577 (1999). Reviewer: O.Ninnemann (Berlin) MSC: 11G40 11F67 11F72 11G18 PDFBibTeX XMLCite \textit{J. M. VanderKam}, Duke Math. J. 97, No. 3, 545--577 (1999; Zbl 1013.11030) Full Text: DOI
Getzler, E. Resolving mixed Hodge modules on configuration spaces. (English) Zbl 0986.14005 Duke Math. J. 96, No. 1, 175-203 (1999). Reviewer: Fumio Hazama (Hatoyama) MSC: 14D07 14H10 11F12 PDFBibTeX XMLCite \textit{E. Getzler}, Duke Math. J. 96, No. 1, 175--203 (1999; Zbl 0986.14005) Full Text: DOI arXiv
Bergeron, Nantel; Sottile, Frank Schubert polynomials, the Bruhat order, and the geometry of flag manifolds. (English) Zbl 0939.05084 Duke Math. J. 95, No. 2, 373-423 (1998). MSC: 05E15 05E05 14M15 14N15 PDFBibTeX XMLCite \textit{N. Bergeron} and \textit{F. Sottile}, Duke Math. J. 95, No. 2, 373--423 (1998; Zbl 0939.05084) Full Text: DOI arXiv
Eriksson, Kimmo; Linusson, Svante Combinatorics of Fulton’s essential set. (English) Zbl 0859.05003 Duke Math. J. 85, No. 1, 61-76 (1996). MSC: 05A05 05B20 14M15 05A15 PDFBibTeX XMLCite \textit{K. Eriksson} and \textit{S. Linusson}, Duke Math. J. 85, No. 1, 61--76 (1996; Zbl 0859.05003) Full Text: DOI
Stembridge, John R. Canonical bases and self-evacuating tableaux. (English) Zbl 0869.17011 Duke Math. J. 82, No. 3, 585-606 (1996). Reviewer: W.Soergel (Freiburg) MSC: 17B37 05E15 05E10 PDFBibTeX XMLCite \textit{J. R. Stembridge}, Duke Math. J. 82, No. 3, 585--606 (1996; Zbl 0869.17011) Full Text: DOI
Fulton, William; Lascoux, Alain A Pieri formula in the Grothendieck ring of a flag bundle. (English) Zbl 0840.14007 Duke Math. J. 76, No. 3, 711-729 (1994). Reviewer: Ngô Viêt Trung (Hanoi) MSC: 14F05 14M15 14C20 PDFBibTeX XMLCite \textit{W. Fulton} and \textit{A. Lascoux}, Duke Math. J. 76, No. 3, 711--729 (1994; Zbl 0840.14007) Full Text: DOI
Stembridge, John R. On minuscule representations, plane partitions and involutions in complex Lie groups. (English) Zbl 0805.22006 Duke Math. J. 73, No. 2, 469-490 (1994). Reviewer: N.I.Osetinski (Moskva) MSC: 22E46 05A15 06A07 05A17 05A19 05E15 22E60 17B20 PDFBibTeX XMLCite \textit{J. R. Stembridge}, Duke Math. J. 73, No. 2, 469--490 (1994; Zbl 0805.22006) Full Text: DOI Backlinks: MO
Riera, Gonzalo; Rodríguez, Rubí E. Riemann surfaces and abelian varieties with an automorphism of prime order. (English) Zbl 0790.14039 Duke Math. J. 69, No. 1, 199-217 (1993). Reviewer: I.V.Dolgachev (Ann Arbor) MSC: 14K22 14H55 14H40 PDFBibTeX XMLCite \textit{G. Riera} and \textit{R. E. Rodríguez}, Duke Math. J. 69, No. 1, 199--217 (1993; Zbl 0790.14039) Full Text: DOI
Fulton, William Flags, Schubert polynomials, degeneracy loci, and determinantal formulas. (English) Zbl 0788.14044 Duke Math. J. 65, No. 3, 381-420 (1992). Reviewer: I.Coandă (Bucureşti) MSC: 14M12 14M15 13C40 14F05 PDFBibTeX XMLCite \textit{W. Fulton}, Duke Math. J. 65, No. 3, 381--420 (1992; Zbl 0788.14044) Full Text: DOI