Bolognini, Davide; Sentinelli, Paolo Immanant varieties. (English) Zbl 07785316 Linear Algebra Appl. 682, 164-190 (2024). MSC: 14M15 05B35 05E45 05E18 06A07 15A69 20B30 PDFBibTeX XMLCite \textit{D. Bolognini} and \textit{P. Sentinelli}, Linear Algebra Appl. 682, 164--190 (2024; Zbl 07785316) Full Text: DOI arXiv
Pétréolle, Mathias; Sokal, Alan D.; Zhu, Bao-Xuan Lattice paths and branched continued fractions: an infinite sequence of generalizations of the Stieltjes-Rogers and Thron-Rogers polynomials, with coefficientwise Hankel-total positivity. (English) Zbl 1528.05001 Memoirs of the American Mathematical Society 1450. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6268-0/pbk; 978-1-4704-7683-0/ebook). v, 154 p. (2023). MSC: 05-02 33-02 05A15 05A19 42C05 33C05 33C20 33D05 05A20 05C30 05E05 15B05 15B48 30B70 30E05 44A60 11B68 11A55 11B75 PDFBibTeX XMLCite \textit{M. Pétréolle} et al., Lattice paths and branched continued fractions: an infinite sequence of generalizations of the Stieltjes-Rogers and Thron-Rogers polynomials, with coefficientwise Hankel-total positivity. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 1528.05001) Full Text: DOI arXiv
Sokal, Alan D. Total positivity of some polynomial matrices that enumerate labeled trees and forests. I: Forests of rooted labeled trees. (English) Zbl 1507.05010 Monatsh. Math. 200, No. 2, 389-452 (2023). MSC: 05A15 05A19 05A20 05C05 05C30 05C78 15B05 15B36 15B48 30E05 44A60 PDFBibTeX XMLCite \textit{A. D. Sokal}, Monatsh. Math. 200, No. 2, 389--452 (2023; Zbl 1507.05010) Full Text: DOI arXiv
Beck, George; Dilcher, Karl A matrix related to Stern polynomials and the Prouhet-Thue-Morse sequence. (English) Zbl 1495.11048 Integers 22, Paper A42, 30 p. (2022). Reviewer: Maciej Ulas (Kraków) MSC: 11B83 05A15 15B36 PDFBibTeX XMLCite \textit{G. Beck} and \textit{K. Dilcher}, Integers 22, Paper A42, 30 p. (2022; Zbl 1495.11048) Full Text: arXiv Link
Kalachev, Gleb; Sadov, Sergey A linear-algebraic and lattice-theoretical look at the Cleaning Lemma of quantum coding theory. (English) Zbl 07553074 Linear Algebra Appl. 649, 96-121 (2022). MSC: 06C99 15A03 81P73 PDFBibTeX XMLCite \textit{G. Kalachev} and \textit{S. Sadov}, Linear Algebra Appl. 649, 96--121 (2022; Zbl 07553074) Full Text: DOI
Donley, Robert W. Partitions for semi-magic squares of size three. (English) Zbl 1514.05029 Nathanson, Melvyn B. (ed.), Combinatorial and additive number theory IV. Selected papers based on the presentations at the CANT 2019 and 2020 workshops, New York, NY, USA, May 21–24, 2019 and virtual, June 1–5, 2020. Cham: Springer. Springer Proc. Math. Stat. 347, 131-149 (2021). Reviewer: John Lorch (Muncie) MSC: 05B15 15B36 15B51 PDFBibTeX XMLCite \textit{R. W. Donley}, Springer Proc. Math. Stat. 347, 131--149 (2021; Zbl 1514.05029) Full Text: DOI arXiv
Gilmore, Tomack Trees, forests, and total positivity. I: \(q\)-trees and \(q\)-forests matrices. (English) Zbl 1473.05021 Electron. J. Comb. 28, No. 3, Research Paper P3.54, 70 p. (2021). MSC: 05A15 05C05 05C22 05A19 05A20 05A30 15B48 PDFBibTeX XMLCite \textit{T. Gilmore}, Electron. J. Comb. 28, No. 3, Research Paper P3.54, 70 p. (2021; Zbl 1473.05021) Full Text: DOI arXiv
Nechita, Ion; Singh, Satvik A graphical calculus for integration over random diagonal unitary matrices. (English) Zbl 1475.15047 Linear Algebra Appl. 613, 46-86 (2021). Reviewer: Fattah Sakuldee (Warszawa) MSC: 15B52 05C82 81P45 81P40 06A11 PDFBibTeX XMLCite \textit{I. Nechita} and \textit{S. Singh}, Linear Algebra Appl. 613, 46--86 (2021; Zbl 1475.15047) Full Text: DOI arXiv
Pétréolle, Mathias; Sokal, Alan D. Lattice paths and branched continued fractions. II: Multivariate Lah polynomials and Lah symmetric functions. (English) Zbl 1458.05017 Eur. J. Comb. 92, Article ID 103235, 36 p. (2021). MSC: 05A15 05E05 11A55 15B05 11B73 PDFBibTeX XMLCite \textit{M. Pétréolle} and \textit{A. D. Sokal}, Eur. J. Comb. 92, Article ID 103235, 36 p. (2021; Zbl 1458.05017) Full Text: DOI arXiv
Dominici, Diego Hankel determinants, Hahn polynomials, and a formula of Krattenthaler. (English) Zbl 1441.15003 Sémin. Lothar. Comb. 81, Article B81i, 14 p. (2020). MSC: 15A15 33C45 33C20 05A19 PDFBibTeX XMLCite \textit{D. Dominici}, Sémin. Lothar. Comb. 81, Article B81i, 14 p. (2020; Zbl 1441.15003) Full Text: Link
Wang, Yinghui; Stanley, Richard P. The Smith normal form distribution of a random integer matrix. (English. French summary) Zbl 1441.15022 Proceedings of the 28th international conference on formal power series and algebraic combinatorics, FPSAC 2016, Vancouver, Canada, July 4–8, 2016. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Math. Theor. Comput. Sci., Proc., 1111-1122 (2020). MSC: 15B36 15A21 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{R. P. Stanley}, in: Proceedings of the 28th international conference on formal power series and algebraic combinatorics, FPSAC 2016, Vancouver, Canada, July 4--8, 2016. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 1111--1122 (2020; Zbl 1441.15022) Full Text: Link
Ramani, Arjun S.; Eikmeier, Nicole; Gleich, David F. Coin-flipping, Ball-dropping, and Grass-hopping for generating random graphs from matrices of edge probabilities. (English) Zbl 1419.05194 SIAM Rev. 61, No. 3, 549-595 (2019). MSC: 05C80 15A24 05A15 PDFBibTeX XMLCite \textit{A. S. Ramani} et al., SIAM Rev. 61, No. 3, 549--595 (2019; Zbl 1419.05194) Full Text: DOI arXiv
Aitken, Colin Non-degenerate \(2\times k\times (k+1)\) hypermatrices. (English) Zbl 1411.15015 Linear Multilinear Algebra 67, No. 4, 697-704 (2019). MSC: 15A69 15A15 PDFBibTeX XMLCite \textit{C. Aitken}, Linear Multilinear Algebra 67, No. 4, 697--704 (2019; Zbl 1411.15015) Full Text: DOI arXiv
Burgos, J. M. A note on Möbius algebras and applications. (English) Zbl 1397.15016 Linear Algebra Appl. 557, 419-429 (2018). MSC: 15A54 15A09 15A21 06B99 05C31 PDFBibTeX XMLCite \textit{J. M. Burgos}, Linear Algebra Appl. 557, 419--429 (2018; Zbl 1397.15016) Full Text: DOI
Arizmendi, Octavio; Perales, Daniel Cumulants for finite free convolution. (English) Zbl 1381.15028 J. Comb. Theory, Ser. A 155, 244-266 (2018). MSC: 15B52 60B20 15A18 PDFBibTeX XMLCite \textit{O. Arizmendi} and \textit{D. Perales}, J. Comb. Theory, Ser. A 155, 244--266 (2018; Zbl 1381.15028) Full Text: DOI arXiv
Petrov, F. V.; Sokolov, V. V. Asymptotics of the Jordan normal form of a random nilpotent matrix. (English. Russian original) Zbl 1392.15049 J. Math. Sci., New York 224, No. 2, 339-344 (2017); translation from Zap. Nauchn. Semin. POMI 448, 252-262 (2016). MSC: 15B52 05C50 15A21 05C80 06A07 60B20 05C20 PDFBibTeX XMLCite \textit{F. V. Petrov} and \textit{V. V. Sokolov}, J. Math. Sci., New York 224, No. 2, 339--344 (2017; Zbl 1392.15049); translation from Zap. Nauchn. Semin. POMI 448, 252--262 (2016) Full Text: DOI
Ariznabarreta, Gerardo; Mañas, Manuel Multivariate orthogonal polynomials and integrable systems. (English) Zbl 1350.15002 Adv. Math. 302, 628-739 (2016). MSC: 15A23 42C05 65F05 37K10 37L60 46L55 PDFBibTeX XMLCite \textit{G. Ariznabarreta} and \textit{M. Mañas}, Adv. Math. 302, 628--739 (2016; Zbl 1350.15002) Full Text: DOI arXiv
Mattila, Mika; Haukkanen, Pentti Studying the various properties of MIN and MAX matrices – elementary vs. more advanced methods. (English) Zbl 1338.15076 Spec. Matrices 4, 101-109 (2016). MSC: 15B99 PDFBibTeX XMLCite \textit{M. Mattila} and \textit{P. Haukkanen}, Spec. Matrices 4, 101--109 (2016; Zbl 1338.15076) Full Text: DOI
Yordzhev, Krasimir Factor-set of binary matrices and Fibonacci numbers. (English) Zbl 1334.15081 Appl. Math. Comput. 236, 235-238 (2014). MSC: 15B36 11B39 PDFBibTeX XMLCite \textit{K. Yordzhev}, Appl. Math. Comput. 236, 235--238 (2014; Zbl 1334.15081) Full Text: DOI
Mattila, Mika; Haukkanen, Pentti On the positive definiteness and eigenvalues of meet and join matrices. (English) Zbl 1290.15022 Discrete Math. 326, 9-19 (2014). MSC: 15B48 05C50 15A42 PDFBibTeX XMLCite \textit{M. Mattila} and \textit{P. Haukkanen}, Discrete Math. 326, 9--19 (2014; Zbl 1290.15022) Full Text: DOI arXiv
Baumeister, Barbara; Haase, Christian; Nill, Benjamin; Paffenholz, Andreas On permutation polytopes. (English) Zbl 1185.52006 Adv. Math. 222, No. 2, 431-452 (2009). Reviewer: Matthias Beck (San Francisco) MSC: 52B05 05A05 15A15 52B12 PDFBibTeX XMLCite \textit{B. Baumeister} et al., Adv. Math. 222, No. 2, 431--452 (2009; Zbl 1185.52006) Full Text: DOI arXiv
Zhao, Guangjun; Feng, Hong A new \(q\)-analogue of the sum of cubes. (English) Zbl 1127.05007 Discrete Math. 307, No. 22, 2861-2865 (2007). MSC: 05A19 05A30 15A03 PDFBibTeX XMLCite \textit{G. Zhao} and \textit{H. Feng}, Discrete Math. 307, No. 22, 2861--2865 (2007; Zbl 1127.05007) Full Text: DOI
Anantharam, Venkat; Konstantopoulos, Takis Regulating functions on partially ordered sets. (English) Zbl 1095.06001 Order 22, No. 2, 145-183 (2005). Reviewer: Beloslav Riečan (Banská Bystrica) MSC: 06A06 06B23 06B35 26A48 15B48 60A05 PDFBibTeX XMLCite \textit{V. Anantharam} and \textit{T. Konstantopoulos}, Order 22, No. 2, 145--183 (2005; Zbl 1095.06001) Full Text: DOI
Ben Taher, Rajae; Rachidi, Mustapha On the matrix powers and exponential by the \(r\)-generalized Fibonacci sequences methods: The companion matrix case. (English) Zbl 1031.15019 Linear Algebra Appl. 370, 341-353 (2003). Reviewer: Paul Popescu (Craiova) MSC: 15A30 11B39 40A05 15A18 40A25 PDFBibTeX XMLCite \textit{R. Ben Taher} and \textit{M. Rachidi}, Linear Algebra Appl. 370, 341--353 (2003; Zbl 1031.15019) Full Text: DOI
Wang, Bo Ying Explicit expressions of Smith’s determinant on a poset. (English) Zbl 0984.15018 Acta Math. Sin., Engl. Ser. 17, No. 1, 161-168 (2001). Reviewer: Václav Burjan (Praha) MSC: 15B36 15A09 15A15 PDFBibTeX XMLCite \textit{B. Y. Wang}, Acta Math. Sin., Engl. Ser. 17, No. 1, 161--168 (2001; Zbl 0984.15018) Full Text: DOI
Haglund, James Further investigation involving rook polynomials with only real zeros. (English) Zbl 0963.05006 Eur. J. Comb. 21, No. 8, 1017-1037 (2000). Reviewer: Ian M.Wanless (Oxford) MSC: 05A15 05C70 15A15 PDFBibTeX XMLCite \textit{J. Haglund}, Eur. J. Comb. 21, No. 8, 1017--1037 (2000; Zbl 0963.05006) Full Text: DOI
Winkel, Rudolf An exponential formula for polynomial vector fields. II: Lie series, exponential substitution, and rooted trees. (English) Zbl 0969.34006 Adv. Math. 147, No. 2, 260-303 (1999). MSC: 34A25 15A69 34A05 34C99 68W30 PDFBibTeX XMLCite \textit{R. Winkel}, Adv. Math. 147, No. 2, 260--303 (1999; Zbl 0969.34006) Full Text: DOI
Aldous, David; Diaconis, Persi Longest increasing subsequences: from patience sorting to the Baik-Deift-Johansson theorem. (English) Zbl 0937.60001 Bull. Am. Math. Soc., New Ser. 36, No. 4, 413-432 (1999). MSC: 60C05 05E10 15B52 60F05 82C22 60H15 PDFBibTeX XMLCite \textit{D. Aldous} and \textit{P. Diaconis}, Bull. Am. Math. Soc., New Ser. 36, No. 4, 413--432 (1999; Zbl 0937.60001) Full Text: DOI
Elashvili, A.; Jibladze, M. Hermite reciprocity for the regular representations of cyclic groups. (English) Zbl 0927.13006 Indag. Math., New Ser. 9, No. 2, 233-238 (1998). Reviewer: Peter Fleischmann (Canterbury) MSC: 13A50 14L24 15A72 PDFBibTeX XMLCite \textit{A. Elashvili} and \textit{M. Jibladze}, Indag. Math., New Ser. 9, No. 2, 233--238 (1998; Zbl 0927.13006) Full Text: DOI
Verde-Star, Luis Representation of symmetric functions as Gram determinants. (English) Zbl 0923.05049 Adv. Math. 140, No. 1, 128-143 (1998). Reviewer: G.E.Wall (Sydney) MSC: 05E05 15A15 15A63 PDFBibTeX XMLCite \textit{L. Verde-Star}, Adv. Math. 140, No. 1, 128--143 (1998; Zbl 0923.05049) Full Text: DOI
Haukkanen, Pentti; Wang, Jun; Sillanpää, Juha On Smith’s determinant. (English) Zbl 0883.15002 Linear Algebra Appl. 258, 251-269 (1997). Reviewer: R.Covaci (Cluj-Napoca) MSC: 15A15 15B36 11C20 PDFBibTeX XMLCite \textit{P. Haukkanen} et al., Linear Algebra Appl. 258, 251--269 (1997; Zbl 0883.15002) Full Text: DOI
Kuhn, Nicholas J. Invariant subspaces of the ring of functions on a vector space over a finite field. (English) Zbl 0882.20025 J. Algebra 191, No. 1, 212-227 (1997). Reviewer: H.Szambien (Garbsen) MSC: 20G05 20G40 18G05 06D05 14L35 15A72 16S60 PDFBibTeX XMLCite \textit{N. J. Kuhn}, J. Algebra 191, No. 1, 212--227 (1997; Zbl 0882.20025) Full Text: DOI
Haukkanen, Pentti On meet matrices on posets. (English) Zbl 0870.15016 Linear Algebra Appl. 249, 111-123 (1996). Reviewer: Tong Wenting (Nanjing) MSC: 15B57 11C20 15A15 15A09 PDFBibTeX XMLCite \textit{P. Haukkanen}, Linear Algebra Appl. 249, 111--123 (1996; Zbl 0870.15016) Full Text: DOI
Chen, William Y. C.; Louck, James D. The combinatorial power of the companion matrix. (English) Zbl 0838.15015 Linear Algebra Appl. 232, 261-278 (1996). Reviewer: G.Bonanno (Davis) MSC: 15B57 PDFBibTeX XMLCite \textit{W. Y. C. Chen} and \textit{J. D. Louck}, Linear Algebra Appl. 232, 261--278 (1996; Zbl 0838.15015) Full Text: DOI
Ganyushkin, A. G.; Mazorchuk, V. S. Factor-powers of finite symmetric groups. (English. Russian original) Zbl 0849.20044 Math. Notes 58, No. 2, 794-802 (1995); translation from Mat. Zametki 58, No. 2, 176-188 (1995). MSC: 20M20 15B51 20M10 PDFBibTeX XMLCite \textit{A. G. Ganyushkin} and \textit{V. S. Mazorchuk}, Math. Notes 58, No. 2, 794--802 (1995; Zbl 0849.20044); translation from Mat. Zametki 58, No. 2, 176--188 (1995) Full Text: DOI
Grabiner, David J. A combinatorial correspondence for walks in Weyl chambers. (English) Zbl 0840.05100 J. Comb. Theory, Ser. A 71, No. 2, 275-292 (1995). Reviewer: M.J.Falk (Flagstaff) MSC: 05E15 05A15 33C10 15A15 60G50 PDFBibTeX XMLCite \textit{D. J. Grabiner}, J. Comb. Theory, Ser. A 71, No. 2, 275--292 (1995; Zbl 0840.05100) Full Text: DOI
Ishikawa, Masao; Wakayama, Masato Minor summation formula of pfaffians and Schur function identities. (English) Zbl 0840.05099 Proc. Japan Acad., Ser. A 71, No. 3, 54-57 (1995). Reviewer: C.Krattenthaler (Wien) MSC: 05E05 05E10 15A15 33C65 PDFBibTeX XMLCite \textit{M. Ishikawa} and \textit{M. Wakayama}, Proc. Japan Acad., Ser. A 71, No. 3, 54--57 (1995; Zbl 0840.05099) Full Text: DOI
Callan, D. On evaluating permanents and a matrix of cotangents. (English) Zbl 0826.15005 Linear Multilinear Algebra 38, No. 3, 193-205 (1995). Reviewer: Y.Kuo (Knoxville) MSC: 15A15 PDFBibTeX XMLCite \textit{D. Callan}, Linear Multilinear Algebra 38, No. 3, 193--205 (1995; Zbl 0826.15005) Full Text: DOI
Stembridge, John R. Some hidden relations involving the ten symmetry classes of plane partitions. (English) Zbl 0809.05007 J. Comb. Theory, Ser. A 68, No. 2, 372-409 (1994). Reviewer: L.A.Székely (Budapest) MSC: 05A17 05A15 05E25 15B57 20D60 06A07 PDFBibTeX XMLCite \textit{J. R. Stembridge}, J. Comb. Theory, Ser. A 68, No. 2, 372--409 (1994; Zbl 0809.05007) Full Text: DOI
Bennett, Curtis; Dempsey, Kathy J.; Sagan, Bruce E. Partition lattice \(q\)-analogs related to \(q\)-Stirling numbers. (English) Zbl 0849.05004 J. Algebr. Comb. 3, No. 3, 261-283 (1994). Reviewer: C.Krattenthaler (MR 95h:05014) MSC: 05A30 05A18 05A17 15A03 06A07 11B73 PDFBibTeX XMLCite \textit{C. Bennett} et al., J. Algebr. Comb. 3, No. 3, 261--283 (1994; Zbl 0849.05004) Full Text: DOI
Wagner, David G. Total positivity of Hadamard products. (English) Zbl 0783.15010 J. Math. Anal. Appl. 163, No. 2, 459-483 (1992). Reviewer: Y.Kuo (Knoxville) MSC: 15B48 15A30 PDFBibTeX XMLCite \textit{D. G. Wagner}, J. Math. Anal. Appl. 163, No. 2, 459--483 (1992; Zbl 0783.15010) Full Text: DOI