Beveridge, Andrew; Calaway, Ian; Heysse, Kristin De Finetti lattices and magog triangles. (English) Zbl 07310939 Electron. J. Comb. 28, No. 1, Research Paper P1.38, 29 p. (2021). MSC: 05A10 05A15 PDF BibTeX XML Cite \textit{A. Beveridge} et al., Electron. J. Comb. 28, No. 1, Research Paper P1.38, 29 p. (2021; Zbl 07310939) Full Text: DOI
Ciucu, Mihai Symmetries of shamrocks. IV: The self-complementary case. (English) Zbl 07308519 Proc. Am. Math. Soc. 149, No. 3, 935-951 (2021). MSC: 05A15 05A19 52C20 PDF BibTeX XML Cite \textit{M. Ciucu}, Proc. Am. Math. Soc. 149, No. 3, 935--951 (2021; Zbl 07308519) Full Text: DOI
Fischer, Ilse; Saikia, Manjil P. Refined enumeration of symmetry classes of alternating sign matrices. (English) Zbl 07304657 J. Comb. Theory, Ser. A 178, Article ID 105350, 52 p. (2021). MSC: 05A15 05B20 15B35 PDF BibTeX XML Cite \textit{I. Fischer} and \textit{M. P. Saikia}, J. Comb. Theory, Ser. A 178, Article ID 105350, 52 p. (2021; Zbl 07304657) Full Text: DOI
Hietala, Linnea A combinatorial description of certain polynomials related to the XYZ spin chain. (English) Zbl 07302806 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 101, 26 p. (2020). MSC: 82B23 05A15 33E17 PDF BibTeX XML Cite \textit{L. Hietala}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 101, 26 p. (2020; Zbl 07302806) Full Text: DOI
Cai, Jin-Yi; Fu, Zhiguo; Shao, Shuai Beyond #CSP: a dichotomy for counting weighted Eulerian orientations with ARS. (English) Zbl 07285755 Inf. Comput. 275, Article ID 104589, 27 p. (2020). MSC: 68Q PDF BibTeX XML Cite \textit{J.-Y. Cai} et al., Inf. Comput. 275, Article ID 104589, 27 p. (2020; Zbl 07285755) Full Text: DOI
Hone, Andrew N. W.; Pallister, Joe Linear relations for Laurent polynomials and lattice equations. (English) Zbl 07278298 Nonlinearity 33, No. 11, 5961-5996 (2020). MSC: 11B37 39A14 13F60 PDF BibTeX XML Cite \textit{A. N. W. Hone} and \textit{J. Pallister}, Nonlinearity 33, No. 11, 5961--5996 (2020; Zbl 07278298) Full Text: DOI
Kobayashi, Masato Weighted counting of inversions on alternating sign matrices. (English) Zbl 07259272 Order 37, No. 3, 461-477 (2020). MSC: 06 PDF BibTeX XML Cite \textit{M. Kobayashi}, Order 37, No. 3, 461--477 (2020; Zbl 07259272) Full Text: DOI
Fischer, Ilse; Konvalinka, Matjaž The first bijective proof of the refined ASM theorem. (English) Zbl 1447.05032 Sémin. Lothar. Comb. 84B, 84B.18, 12 p. (2020). MSC: 05A18 05A15 05B20 PDF BibTeX XML Cite \textit{I. Fischer} and \textit{M. Konvalinka}, Sémin. Lothar. Comb. 84B, 84B.18, 12 p. (2020; Zbl 1447.05032) Full Text: Link
O’Brien, Cian; Jennings, Kevin; Quinlan, Rachel Alternating signed bipartite graphs and difference-1 colourings. (English) Zbl 1447.05098 Linear Algebra Appl. 604, 370-398 (2020). Reviewer: V. Lokesha (Bangalore) MSC: 05C22 05C15 05B20 15B36 PDF BibTeX XML Cite \textit{C. O'Brien} et al., Linear Algebra Appl. 604, 370--398 (2020; Zbl 1447.05098) Full Text: DOI
Fischer, Ilse; Konvalinka, Matjaž A bijective proof of the ASM theorem. I: The operator formula. (English) Zbl 1446.05006 Electron. J. Comb. 27, No. 3, Research Paper P3.35, 29 p. (2020). MSC: 05A15 15B35 PDF BibTeX XML Cite \textit{I. Fischer} and \textit{M. Konvalinka}, Electron. J. Comb. 27, No. 3, Research Paper P3.35, 29 p. (2020; Zbl 1446.05006) Full Text: DOI
Motegi, Kohei Izergin-Korepin analysis on the wavefunctions of the \(U_q(\mathrm{sl}_2)\) six-vertex model with reflecting end. (English) Zbl 1444.05144 Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. (AIHPD) 7, No. 2, 165-202 (2020). MSC: 05E05 82B23 PDF BibTeX XML Cite \textit{K. Motegi}, Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. (AIHPD) 7, No. 2, 165--202 (2020; Zbl 1444.05144) Full Text: DOI
Motegi, Kohei A class of partition functions associated with \(E_{\tau,\eta}gl_3\) by Izergin-Korepin analysis. (English) Zbl 1443.81041 J. Math. Phys. 61, No. 5, 053507, 25 p. (2020). MSC: 81R12 81R50 17B37 33E05 PDF BibTeX XML Cite \textit{K. Motegi}, J. Math. Phys. 61, No. 5, 053507, 25 p. (2020; Zbl 1443.81041) Full Text: DOI
Hamaker, Zachary; Reiner, Victor Weak order and descents for monotone triangles. (English) Zbl 1437.05009 Eur. J. Comb. 86, Article ID 103083, 22 p. (2020). MSC: 05A05 05B20 15B35 15B36 15B52 16T05 20C05 PDF BibTeX XML Cite \textit{Z. Hamaker} and \textit{V. Reiner}, Eur. J. Comb. 86, Article ID 103083, 22 p. (2020; Zbl 1437.05009) Full Text: DOI
Ciucu, Mihai Correlation of a macroscopic dent in a wedge with mixed boundary conditions. (English) Zbl 1433.05071 Trans. Am. Math. Soc. 373, No. 3, 2173-2190 (2020). MSC: 05B45 05A15 05A16 05A19 82B20 82B23 PDF BibTeX XML Cite \textit{M. Ciucu}, Trans. Am. Math. Soc. 373, No. 3, 2173--2190 (2020; Zbl 1433.05071) Full Text: DOI
Motegi, Kohei; Sakai, Kazumitsu; Watanabe, Satoshi Quantum inverse scattering method and generalizations of symplectic Schur functions and Whittaker functions. (English) Zbl 07174314 J. Geom. Phys. 149, Article ID 103571, 32 p. (2020). MSC: 17B37 17B80 33E05 05E05 33C80 81U40 PDF BibTeX XML Cite \textit{K. Motegi} et al., J. Geom. Phys. 149, Article ID 103571, 32 p. (2020; Zbl 07174314) Full Text: DOI
Fulmek, Markus A statistics-respecting bijection between permutation matrices and descending plane partitions without special parts. (English) Zbl 1432.05004 Electron. J. Comb. 27, No. 1, Research Paper P1.39, 17 p. (2020). MSC: 05A05 05A18 05A19 05B20 15B36 PDF BibTeX XML Cite \textit{M. Fulmek}, Electron. J. Comb. 27, No. 1, Research Paper P1.39, 17 p. (2020; Zbl 1432.05004) Full Text: Link
El-Azhar, Hamza; Idrissi, Kaissar; Zerouali, El Hassan Weak positive matrices and hyponormal weighted shifts. (English) Zbl 07281251 Ufim. Mat. Zh. 11, No. 3, 89-99 (2019) and Ufa Math. J. 11, No. 3, 88-98 (2019). MSC: 47B37 44A60 PDF BibTeX XML Cite \textit{H. El-Azhar} et al., Ufim. Mat. Zh. 11, No. 3, 89--99 (2019; Zbl 07281251) Full Text: DOI MNR
Bogoliubov, N.; Malyshev, C. The partition function of the four-vertex model in a special external field. (English) Zbl 1431.82006 J. Math. Sci., New York 242, No. 5, 636-641 (2019) and Zap. Nauchn. Semin. POMI 473, 77-84 (2018). MSC: 82B20 37K15 PDF BibTeX XML Cite \textit{N. Bogoliubov} and \textit{C. Malyshev}, J. Math. Sci., New York 242, No. 5, 636--641 (2019; Zbl 1431.82006) Full Text: DOI
Morales, Alejandro H.; Pak, Igor; Panova, Greta Hook formulas for skew shapes. III: Multivariate and product formulas. (English) Zbl 1425.05158 Algebr. Comb. 2, No. 5, 815-861 (2019). MSC: 05E10 05A05 14N15 PDF BibTeX XML Cite \textit{A. H. Morales} et al., Algebr. Comb. 2, No. 5, 815--861 (2019; Zbl 1425.05158) Full Text: DOI arXiv
Ciucu, Mihai; Lai, Tri Lozenge tilings of doubly-intruded hexagons. (English) Zbl 1417.05161 J. Comb. Theory, Ser. A 167, 294-339 (2019). MSC: 05C70 05A18 52C20 PDF BibTeX XML Cite \textit{M. Ciucu} and \textit{T. Lai}, J. Comb. Theory, Ser. A 167, 294--339 (2019; Zbl 1417.05161) Full Text: DOI arXiv
Wang, Ying; Xin, Guoce Hankel determinants for convolution powers of Catalan numbers. (English) Zbl 1416.05024 Discrete Math. 342, No. 9, 2694-2716 (2019). MSC: 05A15 05A10 15A15 11A55 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{G. Xin}, Discrete Math. 342, No. 9, 2694--2716 (2019; Zbl 1416.05024) Full Text: DOI arXiv
Fischer, Ilse Enumeration of alternating sign triangles using a constant term approach. (English) Zbl 1415.05013 Trans. Am. Math. Soc. 372, No. 2, 1485-1508 (2019). MSC: 05A15 05A05 05A19 15B35 82B20 82B23 PDF BibTeX XML Cite \textit{I. Fischer}, Trans. Am. Math. Soc. 372, No. 2, 1485--1508 (2019; Zbl 1415.05013) Full Text: DOI arXiv
Koutschan, Christoph; Thanatipanonda, Thotsaporn A curious family of binomial determinants that count rhombus tilings of a holey hexagon. (English) Zbl 1416.05039 J. Comb. Theory, Ser. A 166, 352-381 (2019). MSC: 05A18 05A15 15A15 PDF BibTeX XML Cite \textit{C. Koutschan} and \textit{T. Thanatipanonda}, J. Comb. Theory, Ser. A 166, 352--381 (2019; Zbl 1416.05039) Full Text: DOI
Ayyer, Arvind; Behrend, Roger E. Factorization theorems for classical group characters, with applications to alternating sign matrices and plane partitions. (English) Zbl 1414.05037 J. Comb. Theory, Ser. A 165, 78-105 (2019). MSC: 05A18 05E05 PDF BibTeX XML Cite \textit{A. Ayyer} and \textit{R. E. Behrend}, J. Comb. Theory, Ser. A 165, 78--105 (2019; Zbl 1414.05037) Full Text: DOI
Solhjem, Sara; Striker, Jessica Sign matrix polytopes from Young tableaux. (English) Zbl 1411.05288 Linear Algebra Appl. 574, 84-122 (2019). MSC: 05E10 05A05 05B20 05A15 52B05 PDF BibTeX XML Cite \textit{S. Solhjem} and \textit{J. Striker}, Linear Algebra Appl. 574, 84--122 (2019; Zbl 1411.05288) Full Text: DOI arXiv
Ferrari, Margherita Maria; Munarini, Emanuele Decomposition of some Hankel matrices generated by the generalized rencontres polynomials. (English) Zbl 1414.15018 Linear Algebra Appl. 567, 180-201 (2019). MSC: 15A23 05A15 15A15 15B36 11C20 PDF BibTeX XML Cite \textit{M. M. Ferrari} and \textit{E. Munarini}, Linear Algebra Appl. 567, 180--201 (2019; Zbl 1414.15018) Full Text: DOI
Addabbo, Darlayne; Bergvelt, Maarten \(\tau\)-functions, Birkhoff factorizations and difference equations. (English) Zbl 1447.17020 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 023, 42 p. (2019). MSC: 17B80 39A99 PDF BibTeX XML Cite \textit{D. Addabbo} and \textit{M. Bergvelt}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 023, 42 p. (2019; Zbl 1447.17020) Full Text: DOI arXiv
Billey, Sara C.; Holroyd, Alexander E.; Young, Benjamin J. A bijective proof of Macdonald’s reduced word formula. (English) Zbl 1409.05024 Algebr. Comb. 2, No. 2, 217-248 (2019). MSC: 05A17 05A15 05E10 05E05 14M15 60J99 PDF BibTeX XML Cite \textit{S. C. Billey} et al., Algebr. Comb. 2, No. 2, 217--248 (2019; Zbl 1409.05024) Full Text: DOI
Gatica, Jessica; Jones, Miles; Lapointe, Luc Pieri rules for the Jack polynomials in superspace and the 6-vertex model. (English) Zbl 1407.05241 Ann. Henri Poincaré 20, No. 4, 1051-1091 (2019). MSC: 05E05 33D52 PDF BibTeX XML Cite \textit{J. Gatica} et al., Ann. Henri Poincaré 20, No. 4, 1051--1091 (2019; Zbl 1407.05241) Full Text: DOI
Motegi, Kohei Elliptic free-fermion model with OS boundary and elliptic Pfaffians. (English) Zbl 1409.33016 Lett. Math. Phys. 109, No. 4, 923-943 (2019). MSC: 33E05 16T25 16T30 82B23 PDF BibTeX XML Cite \textit{K. Motegi}, Lett. Math. Phys. 109, No. 4, 923--943 (2019; Zbl 1409.33016) Full Text: DOI
Wang, Ying; Xin, Guoce; Zhai, Meimei Hankel determinants and shifted periodic continued fractions. (English) Zbl 1416.15005 Adv. Appl. Math. 102, 83-112 (2019). Reviewer: James Wan (Singapore) MSC: 15A15 05A15 11B83 11A55 PDF BibTeX XML Cite \textit{Y. Wang} et al., Adv. Appl. Math. 102, 83--112 (2019; Zbl 1416.15005) Full Text: DOI arXiv
Bogoliubov, Nikolay; Malyshev, Cyril The phase model and the norm-trace generating function of plane partitions. (English) Zbl 07232660 J. Stat. Mech. Theory Exp. 2018, No. 8, Article ID 083101, 13 p. (2018). MSC: 82 PDF BibTeX XML Cite \textit{N. Bogoliubov} and \textit{C. Malyshev}, J. Stat. Mech. Theory Exp. 2018, No. 8, Article ID 083101, 13 p. (2018; Zbl 07232660) Full Text: DOI
Weigandt, Anna Prism tableaux for alternating sign matrix varieties. (English) Zbl 1411.05299 Sémin. Lothar. Comb. 80B, 80B.52, 12 p. (2018). MSC: 05E15 14N15 14M15 PDF BibTeX XML Cite \textit{A. Weigandt}, Sémin. Lothar. Comb. 80B, 80B.52, 12 p. (2018; Zbl 1411.05299) Full Text: Link arXiv
Engbers, John; Hammett, Adam On comparability of bigrassmannian permutations. (English) Zbl 1404.05006 Australas. J. Comb. 71, 1, 121-152 (2018). MSC: 05A05 PDF BibTeX XML Cite \textit{J. Engbers} and \textit{A. Hammett}, Australas. J. Comb. 71, 121--152 (2018; Zbl 1404.05006) Full Text: Link arXiv
Brualdi, Richard A. Some combinatorially defined matrix classes. (English) Zbl 1418.15027 Encinas, Andrés M. (ed.) et al., Combinatorial matrix theory. Cham: Birkhäuser. Adv. Courses in Math., CRM Barcelona, 1-46 (2018). Reviewer: Arnold Richard Kräuter (Leoben) MSC: 15B35 05B20 05A05 05C20 15-02 PDF BibTeX XML Cite \textit{R. A. Brualdi}, in: Combinatorial matrix theory. Cham: Birkhäuser. 1--46 (2018; Zbl 1418.15027) Full Text: DOI
Striker, Jessica Permutation totally symmetric self-complementary plane partitions. (English) Zbl 1396.05006 Ann. Comb. 22, No. 3, 641-671 (2018). MSC: 05A05 05A18 06A07 PDF BibTeX XML Cite \textit{J. Striker}, Ann. Comb. 22, No. 3, 641--671 (2018; Zbl 1396.05006) Full Text: DOI
Terwilliger, Paul A poset \(\Phi_{n}\) whose maximal chains are in bijection with the \(n\times n\) alternating sign matrices. (English) Zbl 1392.05021 Linear Algebra Appl. 554, 79-85 (2018). MSC: 05B20 05E18 15B35 15B36 PDF BibTeX XML Cite \textit{P. Terwilliger}, Linear Algebra Appl. 554, 79--85 (2018; Zbl 1392.05021) Full Text: DOI
Fischer, Ilse Constant term formulas for refined enumerations of Gog and Magog trapezoids. (English) Zbl 1391.05040 J. Comb. Theory, Ser. A 158, 560-604 (2018). MSC: 05A17 05A18 PDF BibTeX XML Cite \textit{I. Fischer}, J. Comb. Theory, Ser. A 158, 560--604 (2018; Zbl 1391.05040) Full Text: DOI arXiv
Matsuzawa, Yohsuke On the Hilbert schemes of finite algebras over an algebraically closed field. (English) Zbl 1391.13050 Commun. Algebra 46, No. 6, 2753-2765 (2018). MSC: 13M05 14C05 PDF BibTeX XML Cite \textit{Y. Matsuzawa}, Commun. Algebra 46, No. 6, 2753--2765 (2018; Zbl 1391.13050) Full Text: DOI
Ciucu, Mihai Symmetries of shamrocks. II: Axial shamrocks. (English) Zbl 1388.05012 Electron. J. Comb. 25, No. 2, Research Paper P2.36, 21 p. (2018). MSC: 05A15 05A17 PDF BibTeX XML Cite \textit{M. Ciucu}, Electron. J. Comb. 25, No. 2, Research Paper P2.36, 21 p. (2018; Zbl 1388.05012) Full Text: Link
Motegi, Kohei Symmetric functions and wavefunctions of XXZ-type six-vertex models and elliptic felderhof models by Izergin-Korepin analysis. (English) Zbl 1391.82013 J. Math. Phys. 59, No. 5, 053505, 43 p. (2018). MSC: 82B20 17B69 05C07 17B37 81R50 PDF BibTeX XML Cite \textit{K. Motegi}, J. Math. Phys. 59, No. 5, 053505, 43 p. (2018; Zbl 1391.82013) Full Text: DOI
Aigner, Florian Fully packed loop configurations: polynomiality and nested arches. (English) Zbl 1380.05006 Electron. J. Comb. 25, No. 1, Research Paper P1.27, 23 p. (2018). MSC: 05A15 82B20 82B23 PDF BibTeX XML Cite \textit{F. Aigner}, Electron. J. Comb. 25, No. 1, Research Paper P1.27, 23 p. (2018; Zbl 1380.05006) Full Text: Link arXiv
Brualdi, Richard A.; Dahl, Geir Alternating sign matrices and hypermatrices, and a generalization of Latin squares. (English) Zbl 1379.05020 Adv. Appl. Math. 95, 116-151 (2018). MSC: 05B20 05B15 15A69 15B48 PDF BibTeX XML Cite \textit{R. A. Brualdi} and \textit{G. Dahl}, Adv. Appl. Math. 95, 116--151 (2018; Zbl 1379.05020) Full Text: DOI
Ciucu, Mihai Symmetries of shamrocks. I. (English) Zbl 1377.05086 J. Comb. Theory, Ser. A 155, 376-397 (2018). MSC: 05C30 05B45 52C20 PDF BibTeX XML Cite \textit{M. Ciucu}, J. Comb. Theory, Ser. A 155, 376--397 (2018; Zbl 1377.05086) Full Text: DOI
Addabbo, Darlayne; Bergvelt, Maarten Generalizations of \(Q\)-systems and orthogonal polynomials from representation theory. (English) Zbl 1390.17041 Barron, Katrina (ed.) et al., Lie algebras, vertex operator algebras, and related topics. Conference in honor of J. Lepowsky and R. Wilson on the occasion ot their 70th birthdays, University of Notre Dame, Notre Dame, IN, USA, August 14–18, 2015. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2666-8/pbk; 978-1-4704-4196-8/ebook). Contemporary Mathematics 695, 1-13 (2017). MSC: 17B80 PDF BibTeX XML Cite \textit{D. Addabbo} and \textit{M. Bergvelt}, Contemp. Math. 695, 1--13 (2017; Zbl 1390.17041) Full Text: DOI arXiv
Motegi, Kohei Combinatorial properties of symmetric polynomials from integrable vertex models in finite lattice. (English) Zbl 1375.81131 J. Math. Phys. 58, No. 9, 091703, 23 p. (2017). MSC: 81R12 81Q35 81R50 17B37 16T25 52B12 PDF BibTeX XML Cite \textit{K. Motegi}, J. Math. Phys. 58, No. 9, 091703, 23 p. (2017; Zbl 1375.81131) Full Text: DOI
Bogoliubov, N.; Malyshev, C. Multi-dimensional random walks and integrable phase models. (English) Zbl 1376.82087 J. Math. Sci., New York 224, No. 2, 199-213 (2017) and Zap. Nauchn. Semin. POMI 448, 48-68 (2016). MSC: 82C41 82C20 82C23 81S25 PDF BibTeX XML Cite \textit{N. Bogoliubov} and \textit{C. Malyshev}, J. Math. Sci., New York 224, No. 2, 199--213 (2017; Zbl 1376.82087) Full Text: DOI
Gekhtman, M.; Shapiro, M.; Vainshtein, A. Exotic cluster structures on \(\mathrm{SL}_n\): the Cremmer-Gervais case. (English) Zbl 1373.53112 Mem. Am. Math. Soc. 1165, vi, 94 p. (2017). Reviewer: David Fernández (Rio de Janeiro) MSC: 53D17 13F60 PDF BibTeX XML Cite \textit{M. Gekhtman} et al., Exotic cluster structures on \(\mathrm{SL}_n\): the Cremmer-Gervais case. Providence, RI: American Mathematical Society (AMS) (2017; Zbl 1373.53112) Full Text: DOI
Behrend, Roger E.; Fischer, Ilse; Konvalinka, Matjaž Diagonally and antidiagonally symmetric alternating sign matrices of odd order. (English) Zbl 1366.05006 Adv. Math. 315, 324-365 (2017). MSC: 05A15 05A05 05A19 15B35 82B20 82B23 PDF BibTeX XML Cite \textit{R. E. Behrend} et al., Adv. Math. 315, 324--365 (2017; Zbl 1366.05006) Full Text: DOI
Hagendorf, Christian; Liénardy, Jean Open spin chains with dynamic lattice supersymmetry. (English) Zbl 1372.82013 J. Phys. A, Math. Theor. 50, No. 18, Article ID 185202, 32 p. (2017). Reviewer: Guy Jumarie (Montréal) MSC: 82B20 81Q60 81P45 PDF BibTeX XML Cite \textit{C. Hagendorf} and \textit{J. Liénardy}, J. Phys. A, Math. Theor. 50, No. 18, Article ID 185202, 32 p. (2017; Zbl 1372.82013) Full Text: DOI arXiv
Brualdi, Richard A.; Schroeder, Michael W. Alternating sign matrices and their Bruhat order. (English) Zbl 1366.15024 Discrete Math. 340, No. 8, 1996-2019 (2017). MSC: 15B35 15B48 PDF BibTeX XML Cite \textit{R. A. Brualdi} and \textit{M. W. Schroeder}, Discrete Math. 340, No. 8, 1996--2019 (2017; Zbl 1366.15024) Full Text: DOI Backlinks: MO
Gorbounov, Vassily; Korff, Christian Quantum integrability and generalised quantum Schubert calculus. (English) Zbl 1386.14181 Adv. Math. 313, 282-356 (2017). Reviewer: Letterio Gatto (Torino) MSC: 14M15 14F43 55N22 05E05 82B23 19L47 PDF BibTeX XML Cite \textit{V. Gorbounov} and \textit{C. Korff}, Adv. Math. 313, 282--356 (2017; Zbl 1386.14181) Full Text: DOI arXiv
Eisner, Idan Exotic cluster structures on \(SL_{n}\) with Belavin-Drinfeld data of minimal size. II. Correspondence between cluster structures and Belavin-Drinfeld triples. (English) Zbl 1367.13018 Isr. J. Math. 218, 445-487 (2017). Reviewer: David Fernández (Rio de Janeiro) MSC: 13F60 16G20 PDF BibTeX XML Cite \textit{I. Eisner}, Isr. J. Math. 218, 445--487 (2017; Zbl 1367.13018) Full Text: DOI
Eisner, Idan Exotic cluster structures on \(SL_{n}\) with Belavin-Drinfeld data of minimal size. I. The structure. (English) Zbl 1367.13017 Isr. J. Math. 218, 391-443 (2017). Reviewer: David Fernández (Rio de Janeiro) MSC: 13F60 16G20 PDF BibTeX XML Cite \textit{I. Eisner}, Isr. J. Math. 218, 391--443 (2017; Zbl 1367.13017) Full Text: DOI arXiv
Berkovich, Alexander; Uncu, Ali K. Variation on a theme of Nathan Fine. New weighted partition identities. (English) Zbl 1358.05021 J. Number Theory 176, 226-248 (2017). MSC: 05A17 05A19 11B34 11B75 11P81 11P84 33D15 PDF BibTeX XML Cite \textit{A. Berkovich} and \textit{A. K. Uncu}, J. Number Theory 176, 226--248 (2017; Zbl 1358.05021) Full Text: DOI
Brualdi, Richard A.; Dahl, Geir Alternating sign matrices, extensions and related cones. (English) Zbl 1358.15023 Adv. Appl. Math. 86, 19-49 (2017). MSC: 15B48 05B20 PDF BibTeX XML Cite \textit{R. A. Brualdi} and \textit{G. Dahl}, Adv. Appl. Math. 86, 19--49 (2017; Zbl 1358.15023) Full Text: DOI
Kobayashi, Masato A directed graph structure of alternating sign matrices. (English) Zbl 1358.15022 Linear Algebra Appl. 519, 164-190 (2017). MSC: 15B36 11C20 05A20 05B20 05C20 15A15 PDF BibTeX XML Cite \textit{M. Kobayashi}, Linear Algebra Appl. 519, 164--190 (2017; Zbl 1358.15022) Full Text: DOI arXiv
Dilks, Kevin; Pechenik, Oliver; Striker, Jessica Resonance in orbits of plane partitions and increasing tableaux. (English) Zbl 1355.05266 J. Comb. Theory, Ser. A 148, 244-274 (2017). MSC: 05E10 06A07 PDF BibTeX XML Cite \textit{K. Dilks} et al., J. Comb. Theory, Ser. A 148, 244--274 (2017; Zbl 1355.05266) Full Text: DOI arXiv
Ciucu, M.; Krattenthaler, C. A factorization theorem for lozenge tilings of a hexagon with triangular holes. (English) Zbl 1355.05072 Trans. Am. Math. Soc. 369, No. 5, 3655-3672 (2017). MSC: 05B45 05A15 05A18 05A19 52C20 PDF BibTeX XML Cite \textit{M. Ciucu} and \textit{C. Krattenthaler}, Trans. Am. Math. Soc. 369, No. 5, 3655--3672 (2017; Zbl 1355.05072) Full Text: DOI
Fulman, Jason; Stanton, Dennis On the distribution of the number of fixed vectors for the finite classical groups. (English) Zbl 1394.20028 Ann. Comb. 20, No. 4, 755-773 (2016). MSC: 20G40 05E15 20P05 PDF BibTeX XML Cite \textit{J. Fulman} and \textit{D. Stanton}, Ann. Comb. 20, No. 4, 755--773 (2016; Zbl 1394.20028) Full Text: DOI arXiv
Ciaurri, Óscar; Fernández, Emilio; Roncal, Luz Revisiting floating bodies. (English) Zbl 1357.51012 Expo. Math. 34, No. 4, 396-422 (2016). Reviewer: Rolf Riesinger (Wien) MSC: 51M05 51-02 34A05 35A09 PDF BibTeX XML Cite \textit{Ó. Ciaurri} et al., Expo. Math. 34, No. 4, 396--422 (2016; Zbl 1357.51012) Full Text: DOI
Fischer, Ilse Short proof of the ASM theorem avoiding the six-vertex model. (English) Zbl 1343.05020 J. Comb. Theory, Ser. A 144, 139-156 (2016). MSC: 05A15 15B35 PDF BibTeX XML Cite \textit{I. Fischer}, J. Comb. Theory, Ser. A 144, 139--156 (2016; Zbl 1343.05020) Full Text: DOI
Bogoliubov, N. M.; Malyshev, C. Combinatorial aspects of correlation functions of the XXZ Heisenberg chain in limiting cases. (English. Russian original) Zbl 1344.82020 J. Math. Sci., New York 216, No. 1, 8-22 (2016) and Zap. Nauchn. Semin. POMI 437, 15-34 (2015). MSC: 82B20 82B41 82B23 05A16 PDF BibTeX XML Cite \textit{N. M. Bogoliubov} and \textit{C. Malyshev}, J. Math. Sci., New York 216, No. 1, 8--22 (2016; Zbl 1344.82020) Full Text: DOI
Pronko, A. G. The five-vertex model and enumerations of plane partitions. (English. Russian original) Zbl 1344.82022 J. Math. Sci., New York 213, No. 5, 756-768 (2016); translation from Zap. Nauchn. Semin. POMI 433, 204-223 (2015). MSC: 82B20 81U40 05A18 PDF BibTeX XML Cite \textit{A. G. Pronko}, J. Math. Sci., New York 213, No. 5, 756--768 (2016; Zbl 1344.82022); translation from Zap. Nauchn. Semin. POMI 433, 204--223 (2015) Full Text: DOI
Berkovich, Alexander; Uncu, Ali Kemal On partitions with fixed number of even-indexed and odd-indexed odd parts. (English) Zbl 1337.05007 J. Number Theory 167, 7-30 (2016). MSC: 05A15 05A17 05A19 11B34 11B37 11B75 11P81 11P83 33D15 PDF BibTeX XML Cite \textit{A. Berkovich} and \textit{A. K. Uncu}, J. Number Theory 167, 7--30 (2016; Zbl 1337.05007) Full Text: DOI arXiv
Kirillov, Anatol N. Notes on Schubert, Grothendieck and key polynomials. (English) Zbl 1334.05176 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 034, 56 p. (2016). MSC: 05E05 05E10 05A19 PDF BibTeX XML Cite \textit{A. N. Kirillov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 034, 56 p. (2016; Zbl 1334.05176) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \textit{A. Borodin} et al., Duke Math. J. 165, No. 3, 563--624 (2016; Zbl 1343.82013) Full Text: DOI Euclid arXiv
Fulman, Jason Hall-Littlewood polynomials and Cohen-Lenstra heuristics for Jacobians of random graphs. (English) Zbl 1332.05127 Ann. Comb. 20, No. 1, 115-124 (2016). MSC: 05C80 05E05 60J10 PDF BibTeX XML Cite \textit{J. Fulman}, Ann. Comb. 20, No. 1, 115--124 (2016; Zbl 1332.05127) Full Text: DOI arXiv
Kirillov, Anatol N. On some quadratic algebras. I \(\frac{1}{2}\): Combinatorics of Dunkl and Gaudin elements, Schubert, Grothendieck, Fuss-Catalan, universal Tutte and reduced polynomials. (English) Zbl 1348.05213 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 002, 172 p. (2016). MSC: 05E15 14N15 16T25 53D45 PDF BibTeX XML Cite \textit{A. N. Kirillov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 002, 172 p. (2016; Zbl 1348.05213) Full Text: DOI EMIS arXiv
Biane, Philippe; Cheballah, Hayat Gog and GOGAm pentagons. (English) Zbl 1326.05023 J. Comb. Theory, Ser. A 138, 133-154 (2016). MSC: 05B20 05A15 PDF BibTeX XML Cite \textit{P. Biane} and \textit{H. Cheballah}, J. Comb. Theory, Ser. A 138, 133--154 (2016; Zbl 1326.05023) Full Text: DOI
Cai, Liqiang; Wang, Lifang; Wu, Ke; Yang, Jie The vertex operator for a generalization of MacMahon’s formula. (English) Zbl 1335.17014 Int. J. Mod. Phys. A 30, No. 30, Article ID 1550176, 7 p. (2015). MSC: 17B69 05E05 PDF BibTeX XML Cite \textit{L. Cai} et al., Int. J. Mod. Phys. A 30, No. 30, Article ID 1550176, 7 p. (2015; Zbl 1335.17014) Full Text: DOI
Gorin, Vadim; Panova, Greta Asymptotics of symmetric polynomials with applications to statistical mechanics and representation theory. (English) Zbl 1390.05240 Ann. Probab. 43, No. 6, 3052-3132 (2015). Reviewer: Michele Gianfelice (Rende) MSC: 05E05 22E99 60K35 60F99 PDF BibTeX XML Cite \textit{V. Gorin} and \textit{G. Panova}, Ann. Probab. 43, No. 6, 3052--3132 (2015; Zbl 1390.05240) Full Text: DOI Euclid arXiv
Bartlett, Nick; Warnaar, S. Ole Hall-Littlewood polynomials and characters of affine Lie algebras. (English) Zbl 1323.05130 Adv. Math. 285, 1066-1105 (2015). MSC: 05E05 05E10 17B67 33D67 PDF BibTeX XML Cite \textit{N. Bartlett} and \textit{S. O. Warnaar}, Adv. Math. 285, 1066--1105 (2015; Zbl 1323.05130) Full Text: DOI arXiv
Fulman, Jason; Goldstein, Larry Stein’s method and the rank distribution of random matrices over finite fields. (English) Zbl 1388.60024 Ann. Probab. 43, No. 3, 1274-1314 (2015). MSC: 60B20 15B52 60C05 60F05 PDF BibTeX XML Cite \textit{J. Fulman} and \textit{L. Goldstein}, Ann. Probab. 43, No. 3, 1274--1314 (2015; Zbl 1388.60024) Full Text: DOI Euclid arXiv
Cheballah, Hayat; Giraudo, Samuele; Maurice, Rémi Hopf algebra structure on packed square matrices. (English) Zbl 1335.16022 J. Comb. Theory, Ser. A 133, 139-182 (2015). Reviewer: Loïc Foissy (Calais) MSC: 16T30 05E05 05E15 05A05 PDF BibTeX XML Cite \textit{H. Cheballah} et al., J. Comb. Theory, Ser. A 133, 139--182 (2015; Zbl 1335.16022) Full Text: DOI arXiv
Fonseca, Tiago; Balogh, Ferenc The higher spin generalization of the 6-vertex model with domain wall boundary conditions and Macdonald polynomials. (English) Zbl 1325.82009 J. Algebr. Comb. 41, No. 3, 843-866 (2015). Reviewer: Arvind Ayyer (Bangalore) MSC: 82B23 82B20 PDF BibTeX XML Cite \textit{T. Fonseca} and \textit{F. Balogh}, J. Algebr. Comb. 41, No. 3, 843--866 (2015; Zbl 1325.82009) Full Text: DOI arXiv
Brualdi, Richard A.; Kim, Hwa Kyung Completions of alternating sign matrices. (English) Zbl 1321.15047 Graphs Comb. 31, No. 3, 507-522 (2015). Reviewer: C. M. da Fonseca (Safat) MSC: 15A83 05B20 05C22 05C50 15B35 15B36 15A15 PDF BibTeX XML Cite \textit{R. A. Brualdi} and \textit{H. K. Kim}, Graphs Comb. 31, No. 3, 507--522 (2015; Zbl 1321.15047) Full Text: DOI
Chang, Xiang-Ke; Hu, Xing-Biao; Xin, Guoce Hankel determinant solutions to several discrete integrable systems and the Laurent property. (English) Zbl 1400.37062 SIAM J. Discrete Math. 29, No. 1, 667-682 (2015). MSC: 37J35 11B83 11Y65 15B05 PDF BibTeX XML Cite \textit{X.-K. Chang} et al., SIAM J. Discrete Math. 29, No. 1, 667--682 (2015; Zbl 1400.37062) Full Text: DOI arXiv
Hamel, Angèle M.; King, Ronald C. Half-turn symmetric alternating sign matrices and Tokuyama type factorisation for orthogonal group characters. (English) Zbl 1305.05235 J. Comb. Theory, Ser. A 131, 1-31 (2015). MSC: 05E15 05B20 PDF BibTeX XML Cite \textit{A. M. Hamel} and \textit{R. C. King}, J. Comb. Theory, Ser. A 131, 1--31 (2015; Zbl 1305.05235) Full Text: DOI arXiv
Fischer, Ilse; Nadeau, Philippe Fully packed loops in a triangle: matchings, paths and puzzles. (English) Zbl 1303.05006 J. Comb. Theory, Ser. A 130, 64-118 (2015). MSC: 05A15 05B45 PDF BibTeX XML Cite \textit{I. Fischer} and \textit{P. Nadeau}, J. Comb. Theory, Ser. A 130, 64--118 (2015; Zbl 1303.05006) Full Text: DOI arXiv
Bogoliubov, N. M. Combinatorics of a strongly coupled boson system. (English. Russian original) Zbl 1323.81128 Theor. Math. Phys. 181, No. 1, 1132-1144 (2014); translation from Teor. Mat. Fiz. 181, No. 1, 5-18 (2014). MSC: 81V35 PDF BibTeX XML Cite \textit{N. M. Bogoliubov}, Theor. Math. Phys. 181, No. 1, 1132--1144 (2014; Zbl 1323.81128); translation from Teor. Mat. Fiz. 181, No. 1, 5--18 (2014) Full Text: DOI
Bogoliubov, N. M.; Malyshev, C. A combinatorial interpretation of the scalar products of state vectors of integrable models. (English) Zbl 1307.05222 J. Math. Sci., New York 200, No. 6, 662-670 (2014) and Zap. Nauchn. Semin. POMI 421, 33-46 (2014). MSC: 05E05 81Q40 PDF BibTeX XML Cite \textit{N. M. Bogoliubov} and \textit{C. Malyshev}, J. Math. Sci., New York 200, No. 6, 662--670 (2014; Zbl 1307.05222) Full Text: DOI
Cantini, Luigi; Sportiello, Andrea A one-parameter refinement of the Razumov-Stroganov correspondence. (English) Zbl 1303.82010 J. Comb. Theory, Ser. A 127, 400-440 (2014). MSC: 82B20 05A15 PDF BibTeX XML Cite \textit{L. Cantini} and \textit{A. Sportiello}, J. Comb. Theory, Ser. A 127, 400--440 (2014; Zbl 1303.82010) Full Text: DOI arXiv
Romik, Dan Connectivity patterns in loop percolation. I: The rationality phenomenon and constant term identities. (English) Zbl 1296.82030 Commun. Math. Phys. 330, No. 2, 499-538 (2014). MSC: 82B43 82B20 81R12 35Q40 05A15 PDF BibTeX XML Cite \textit{D. Romik}, Commun. Math. Phys. 330, No. 2, 499--538 (2014; Zbl 1296.82030) Full Text: DOI arXiv
Simon, Thomas Total positivity of a Cauchy kernel. (English) Zbl 1292.15035 J. Approx. Theory 184, 238-258 (2014). MSC: 15B48 15A15 33C45 PDF BibTeX XML Cite \textit{T. Simon}, J. Approx. Theory 184, 238--258 (2014; Zbl 1292.15035) Full Text: DOI
Abeles, Francine F. Chiò’s and Dodgson’s determinantal identities. (English) Zbl 1288.15001 Linear Algebra Appl. 454, 130-137 (2014). MSC: 15-02 15A15 01A55 PDF BibTeX XML Cite \textit{F. F. Abeles}, Linear Algebra Appl. 454, 130--137 (2014; Zbl 1288.15001) Full Text: DOI
Bogoliubov, N. M.; Malyshev, C. Correlation functions of XX0 Heisenberg chain, \(q\)-binomial determinants, and random walks. (English) Zbl 1284.82016 Nucl. Phys., B 879, 268-291 (2014). MSC: 82B20 82D40 82B41 05E05 82B30 PDF BibTeX XML Cite \textit{N. M. Bogoliubov} and \textit{C. Malyshev}, Nucl. Phys., B 879, 268--291 (2014; Zbl 1284.82016) Full Text: DOI arXiv
Schwerdtfeger, Uwe Linear functional equations with a catalytic variable and area limit laws for lattice paths and polygons. (English) Zbl 1284.05021 Eur. J. Comb. 36, 608-640 (2014). MSC: 05A15 05B50 68R10 68R05 PDF BibTeX XML Cite \textit{U. Schwerdtfeger}, Eur. J. Comb. 36, 608--640 (2014; Zbl 1284.05021) Full Text: DOI
Brualdi, Richard A.; Cooper, Joshua Note on the spectral radius of alternating sign matrices. (English) Zbl 1282.15026 Linear Algebra Appl. 442, 99-105 (2014). MSC: 15B36 05B20 05C22 05C50 PDF BibTeX XML Cite \textit{R. A. Brualdi} and \textit{J. Cooper}, Linear Algebra Appl. 442, 99--105 (2014; Zbl 1282.15026) Full Text: DOI
Behrend, Roger E. Multiply-refined enumeration of alternating sign matrices. (English) Zbl 1283.05051 Adv. Math. 245, 439-499 (2013). MSC: 05B30 PDF BibTeX XML Cite \textit{R. E. Behrend}, Adv. Math. 245, 439--499 (2013; Zbl 1283.05051) Full Text: DOI arXiv
Brualdi, Richard A.; Kiernan, Kathleen P.; Meyer, Seth A.; Schroeder, Michael W. Patterns of alternating sign matrices. (English) Zbl 1281.15034 Linear Algebra Appl. 438, No. 10, 3967-3990 (2013). MSC: 15B35 05B20 05C22 05C50 15B36 PDF BibTeX XML Cite \textit{R. A. Brualdi} et al., Linear Algebra Appl. 438, No. 10, 3967--3990 (2013; Zbl 1281.15034) Full Text: DOI arXiv
Ishikawa, Masao; Tagawa, Hiroyuki; Zeng, Jiang Pfaffian decomposition and a Pfaffian analogue of \(q\)-Catalan Hankel determinants. (English) Zbl 1278.05043 J. Comb. Theory, Ser. A 120, No. 6, 1263-1284 (2013). MSC: 05B20 05A30 05E05 15A15 PDF BibTeX XML Cite \textit{M. Ishikawa} et al., J. Comb. Theory, Ser. A 120, No. 6, 1263--1284 (2013; Zbl 1278.05043) Full Text: DOI arXiv
Kapitonov, V. S.; Pronko, A. G. Weighted enumerations of boxed plane partitions and the inhomogeneous five-vertex model. (English. Russian original) Zbl 1276.05007 J. Math. Sci., New York 192, No. 1, 70-80 (2013); translation from Zap. Nauchn. Semin. POMI 398, 125-144 (2012). MSC: 05A17 05A15 05B45 60C05 PDF BibTeX XML Cite \textit{V. S. Kapitonov} and \textit{A. G. Pronko}, J. Math. Sci., New York 192, No. 1, 70--80 (2013; Zbl 1276.05007); translation from Zap. Nauchn. Semin. POMI 398, 125--144 (2012) Full Text: DOI
Bogoliubov, N. M.; Pronko, A. G.; Timonen, J. Multiple-grain dissipative sandpiles. (English) Zbl 1274.82040 J. Math. Sci., New York 190, No. 3, 411-418 (2013) and in Zap. Nauchn. Semin. POMI 403, 5-18 (2012). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 82C27 82C20 PDF BibTeX XML Cite \textit{N. M. Bogoliubov} et al., J. Math. Sci., New York 190, No. 3, 411--418 (2013; Zbl 1274.82040) Full Text: DOI
Fischer, Ilse Sequences of labeled trees related to Gelfand-Tsetlin patterns. (English) Zbl 1252.05008 Adv. Appl. Math. 49, No. 3-5, 165-195 (2012). MSC: 05A15 05A19 PDF BibTeX XML Cite \textit{I. Fischer}, Adv. Appl. Math. 49, No. 3--5, 165--195 (2012; Zbl 1252.05008) Full Text: DOI arXiv
Romik, Dan Arctic circles, domino tilings and square Young tableaux. (English) Zbl 1258.60014 Ann. Probab. 40, No. 2, 611-647 (2012). Reviewer: Hsien-Kuei Hwang (Taipei) MSC: 60C05 60K35 60F10 05B45 PDF BibTeX XML Cite \textit{D. Romik}, Ann. Probab. 40, No. 2, 611--647 (2012; Zbl 1258.60014) Full Text: DOI Euclid arXiv
Fischer, Ilse Linear relations of refined enumerations of alternating sign matrices. (English) Zbl 1247.05014 J. Comb. Theory, Ser. A 119, No. 3, 556-578 (2012). Reviewer: Arnold Richard Kräuter (Leoben) MSC: 05A15 05B20 15B36 PDF BibTeX XML Cite \textit{I. Fischer}, J. Comb. Theory, Ser. A 119, No. 3, 556--578 (2012; Zbl 1247.05014) Full Text: DOI arXiv
Behrend, Roger E.; Di Francesco, Philippe; Zinn-Justin, Paul On the weighted enumeration of alternating sign matrices and descending plane partitions. (English) Zbl 1232.05037 J. Comb. Theory, Ser. A 119, No. 2, 331-363 (2012). MSC: 05B20 05A15 PDF BibTeX XML Cite \textit{R. E. Behrend} et al., J. Comb. Theory, Ser. A 119, No. 2, 331--363 (2012; Zbl 1232.05037) Full Text: DOI arXiv
de Gier, Jan; Lascoux, Alain; Sorrell, Mark Deformed Kazhdan-Lusztig elements and Macdonald polynomials. (English) Zbl 1232.05232 J. Comb. Theory, Ser. A 119, No. 1, 183-211 (2012). MSC: 05E05 20C08 33D52 PDF BibTeX XML Cite \textit{J. de Gier} et al., J. Comb. Theory, Ser. A 119, No. 1, 183--211 (2012; Zbl 1232.05232) Full Text: DOI arXiv
Bogoliubov, N. M.; Malyshev, C. L. Ising limit of a Heisenberg XXZ magnet and some temperature correlation functions. (English. Russian original) Zbl 1274.82019 Theor. Math. Phys. 169, No. 2, 1517-1529 (2011); translation from Teor. Mat. Fiz. 169, No. 2, 179-193 (2011). MSC: 82B30 82B20 82D40 PDF BibTeX XML Cite \textit{N. M. Bogoliubov} and \textit{C. L. Malyshev}, Theor. Math. Phys. 169, No. 2, 1517--1529 (2011; Zbl 1274.82019); translation from Teor. Mat. Fiz. 169, No. 2, 179--193 (2011) Full Text: DOI