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Number of items: 50.

2024

Chen, Xi; Sokal, Alan D; (2024) Total positivity of some polynomial matrices that enumerate labeled trees and forests II. Rooted labeled trees and partial functional digraphs. Advances in Applied Mathematics , 157 , Article 102703. 10.1016/j.aam.2024.102703. (In press). Green open access
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Deb, B; Sokal, AD; (2024) A Remark on Continued Fractions for Permutations and D-Permutations with a Weight −1 per Cycle. Electronic Journal of Combinatorics , 31 (2) , Article P2.14. 10.37236/12149. Green open access
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Sokal, AD; (2024) Multiple orthogonal polynomials, d-orthogonal polynomials, production matrices, and branched continued fractions. Transactions of the American Mathematical Society Series B , 11 (23) pp. 762-797. 10.1090/btran/133. Green open access
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2023

Pétréolle, M; Sokal, AD; Zhu, B-X; (2023) Lattice Paths and Branched Continued Fractions: An Infinite Sequence of Generalizations of the Stieltjes-Rogers and Thron-Rogers Polynomials, with Coefficientwise Hankel-Total Positivity. Memoirs of the American Mathematical Society , 291 (1450) 10.1090/memo/1450. Green open access
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Sokal, Alan; (2023) “White Empiricism” and “The Racialization of Epistemology in Physics”: A Critical Analysis*. Journal of Controversial Ideas , 3 (2) , Article 1. 10.35995/jci03020001. Green open access
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Sokal, Alan; (2023) The implicit epistemology of White Fragility. Journal of Philosophy of Education , 57 (2) pp. 517-552. 10.1093/jopedu/qhad025. Green open access
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2022

Kufel, Dominik; Sokal, Alan D; (2022) Skier and loop-the-loop with friction. American Journal of Physics , 90 (8) , Article 573. 10.1119/5.0095150. Green open access
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Salas, Jesús; Sokal, Alan D; (2022) Ergodicity of the Wang–Swendsen–Kotecký algorithm on several classes of lattices on the torus. Journal of Physics A: Mathematical and Theoretical , 55 (41) , Article 415004. 10.1088/1751-8121/ac92ae. Green open access
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Sokal, AD; (2022) An elementary proof of Takagi's theorem on the differential composition of polynomials. The American Mathematical Monthly , 129 (4) pp. 381-384. 10.1080/00029890.2022.2027719. Green open access
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Sokal, AD; Zeng, J; (2022) Some multivariate master polynomials for permutations, set partitions, and perfect matchings, and their continued fractions. Advances in Applied Mathematics , 138 , Article 102341. 10.1016/j.aam.2022.102341. Green open access
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Sokal, Alan D; (2022) A simple algorithm for expanding a power series as a continued fraction. Expositiones Mathematicae 10.1016/j.exmath.2022.12.001. (In press). Green open access
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Sokal, Alan D; (2022) When does a hypergeometric function pFq belong to the Laguerre–Pólya class LP⁺? Journal of Mathematical Analysis and Applications , 515 (2) , Article 126432. 10.1016/j.jmaa.2022.126432. Green open access
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Sokal, Alan D; (2022) Multiple Laguerre polynomials: Combinatorial model and Stieltjes moment representation. Proceedings of the American Mathematical Society , 150 (2022) pp. 1997-2005. 10.1090/proc/15775. Green open access
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Sokal, Alan D; (2022) Multiple orthogonal polynomials, d-orthogonal polynomials, production matrices, and branched continued fractions. arXiv.org: Ithaca (NY), USA. Green open access
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Sokal, Alan D; (2022) Total positivity of some polynomial matrices that enumerate labeled trees and forests I: forests of rooted labeled trees. Monatshefte für Mathematik 10.1007/s00605-022-01687-0. (In press). Green open access
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2021

Chen, Xi; Deb, Bishal; Dyachenko, Alexander; Gilmore, Tomack; Sokal, Alan D; (2021) Coefficientwise Total Positivity of Some Matrices Defined by Linear Recurrences. Séminaire Lotharingien de Combinatoire , 85B , Article 30. Green open access
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Fallat, S; Johnson, CR; Sokal, AD; (2021) Corrigendum to “Total positivity of sums, Hadamard products and Hadamard powers: Results and counterexamples” [Linear Algebra Appl. 520 (2017) 242–259] (Linear Algebra and its Applications (2017) 520 (242–259), (S0024379517300411), (10.1016/j.laa.2017.01.013)). [Corrigendum]. Linear Algebra and Its Applications , 613 pp. 393-396. 10.1016/j.laa.2020.12.019. Green open access
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Pétréolle, M; Sokal, AD; (2021) Lattice paths and branched continued fractions II. Multivariate Lah polynomials and Lah symmetric functions. European Journal of Combinatorics , 92 , Article 103235. 10.1016/j.ejc.2020.103235. Green open access
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Salas, J; Sokal, AD; (2021) The graham–knuth–patashnik recurrence: symmetries and continued fractions. Electronic Journal of Combinatorics , 28 (2) , Article P2.18. 10.37236/9766. Green open access
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2020

Price, AE; Sokal, AD; (2020) Phylogenetic trees, augmented perfect matchings, and a thron-type continued fraction (T-fraction) for the ward polynomials. Electronic Journal of Combinatorics , 27 (4) , Article P4.6. 10.37236/9571. Green open access
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Sokal, AD; (2020) A remark on the enumeration of rooted labeled trees. Discrete Mathematics , 343 (7) , Article 111865. 10.1016/j.disc.2020.111865. Green open access
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Sokal, AD; (2020) Wall's continued-fraction characterization of Hausdorff moment sequences: A conceptual proof. Proceedings of the American Mathematical Society , 148 (5) pp. 2111-2116. 10.1090/proc/14884. Green open access
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Sokal, AD; (2020) How to generalize (and not to generalize) the Chu-Vandermonde identity. American Mathematical Monthly , 127 (1) pp. 54-62. 10.1080/00029890.2020.1668707. Green open access
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2018

Lv, JP; Deng, Y; Jacobsen, JL; Salas, J; Sokal, AD; (2018) Duality and the universality class of the three-state Potts antiferromagnet on plane quadrangulations. [Rapid communication]. Physical Review E , 97 (4) 10.1103/PhysRevE.97.040104. Green open access
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Sokal, AD; (2018) The Euler and Springer Numbers as Moment Sequences. Expositiones Mathematicae 10.1016/j.exmath.2018.08.001. (In press). Green open access
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2017

Caracciolo, S; Sokal, AD; Sportiello, A; (2017) Spanning forests and OSP(N|2M) -invariant σ-models. Journal of Physics A: Mathematical and Theoretical , 50 (11) 10.1088/1751-8121/aa59bc. Green open access
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Fallat, S; Johnson, CR; Sokal, AD; (2017) Total positivity of sums, Hadamard products and Hadamard powers: Results and counterexamples. Linear Algebra and Its Applications , 520 pp. 242-259. 10.1016/j.laa.2017.01.013. Green open access
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2015

Royle, GF; Sokal, AD; (2015) Linear Bound in Terms of Maxmaxflow for the Chromatic Roots of Series-Parallel Graphs. SIAM Journal on Discrete Mathematics , 29 (4) pp. 2117-2159. 10.1137/130930133. Green open access
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2014

Brown, NJL; Sokal, AD; Friedman, HL; (2014) The Persistence of Wishful Thinking. American Psychologist , 69 (6) pp. 629-632. 10.1037/a0037050. Green open access
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Brown, NJL; Sokal, AD; Friedman, HL; (2014) Positive Psychology and Romantic Scientism. [Editorial comment]. American Psychologist , 69 (6) pp. 636-637. 10.1037/a0037390. Green open access
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Kotecky, R; Sokal, AD; Swart, JM; (2014) Entropy-Driven Phase Transition in Low-Temperature Antiferromagnetic Potts Models. Communications in Mathematical Physics , 330 (3) pp. 1339-1394. 10.1007/s00220-014-2005-1. Green open access
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Scott, AD; Sokal, AD; (2014) Complete monotonicity for inverse powers of some combinatorially defined polynomials. Acta Mathematica , 213 (2) pp. 323-392. 10.1007/s11511-014-0121-6.

2013

Brown, NJL; Sokal, AD; Friedman, HL; (2013) The Complex Dynamics of Wishful Thinking The Critical Positivity Ratio. American Psychologist , 68 (9) pp. 801-813. 10.1037/a0032850. Green open access
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Caracciolo, S; Sokal, AD; Sportiello, A; (2013) Algebraic/combinatorial proofs of Cayley-type identities for derivatives of determinants and pfaffians. Advances in Applied Mathematics , 50 (4) pp. 474-594. 10.1016/j.aam.2012.12.001. Green open access
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2011

Deng, YJ; Huang, Y; Jacobsen, JL; Salas, J; Sokal, AD; (2011) Finite-Temperature Phase Transition in a Class of Four-State Potts Antiferromagnets. PHYS REV LETT , 107 (15) , Article 150601. 10.1103/PhysRevLett.107.150601. Green open access
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Sokal, A; (2011) Beyond the Hoax: A Response to Emily A. Schultz. Reviews in Anthropology , 40 (2) pp. 169-173. 10.1080/00938157.2011.572477. Green open access
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2010

Sokal, AD; (2010) The multivariate Tutte polynomial (alias Potts model) for graphs and matroids. In: Webb, BS, (ed.) Surveys in Combinatorics 2005. (pp. 173-226). Cambridge: Cambridge, UK. Green open access
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2008

Kotecky, R; Salas, J; Sokal, AD; (2008) Phase transition in the three-state Potts antiferromagnet on the diced lattice. PHYS REV LETT , 101 (3) , Article 030601. 10.1103/PhysRevLett.101.030601. Green open access
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2007

Deng, Y; Garoni, TM; Sokal, AD; (2007) Dynamic critical behavior of the worm algorithm for the Ising model. Phys.Rev.Lett. , 99 (11) , Article 110601. 10.1103/PhysRevLett.99.110601. Green open access
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Deng, YJ; Garoni, TM; Guo, WN; Blote, HWJ; Sokal, AD; (2007) Cluster simulations of loop models on two-dimensional lattices. PHYS REV LETT , 98 (12) , Article 120601. 10.1103/PhysRevLett.98.120601. Green open access
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Deng, YJ; Garoni, TM; Machta, J; Ossola, G; Polin, M; Sokal, AD; (2007) Critical behavior of the Chayes-Machta-Swendsen-Wang dynamics. PHYS REV LETT , 99 (5) , Article 055701. 10.1103/PhysRevLett.99.055701. Green open access
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Deng, YJ; Garoni, TM; Sokal, AD; (2007) Dynamic critical behavior of the worm algorithm for the ising model. PHYS REV LETT , 99 (11) , Article 110601. 10.1103/PhysRevLett.99.110601. Green open access
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Deng, YJ; Garoni, TM; Sokal, AD; (2007) Critical speeding-up in the local dynamics of the random-cluster model. PHYS REV LETT , 98 (23) , Article 230602. 10.1103/PhysRevLett.98.230602. Green open access
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Deng, YJ; Garoni, TM; Sokal, AD; (2007) Ferromagnetic phase transition for the spanning-forest model (q -> 0 limit of the Potts model) in three or more dimensions. PHYS REV LETT , 98 (3) , Article 030602. 10.1103/PhysRevLett.98.030602. Green open access
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2004

Caracciolo, S; Jacobsen, JL; Saleur, H; Sokal, AD; Sportiello, A; (2004) Fermionic field theory for trees and forests. PHYS REV LETT , 93 (8) , Article 080601. 10.1103/PhysRevLett.93.080601. Green open access
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Sokal, AD; (2004) Chromatic roots are dense in the whole complex plane. COMB PROBAB COMPUT , 13 (2) 221 - 261. 10.1017/S0963548303006023. Green open access
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2001

Sokal, AD; (2001) Bounds on the complex zeros of (Di)Chromatic polynomials and Potts-model partition functions. COMB PROBAB COMPUT , 10 (1) 41 - 77. Green open access
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1996

Caracciolo, S; Edwards, RG; Pelissetto, A; Sokal, AD; (1996) Caracciolo et al. Reply:. Phys.Rev.Lett. , 76 (7) 1179 -1179. 10.1103/PhysRevLett.76.1179. Green open access
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1994

Caracciolo, S; Edwards, RG; Ferreira, SJ; Pelissetto, A; Sokal, AD; (1994) Extrapolating Monte Carlo Simulations to Infinite Volume: Finite-Size Scaling at ξ/L ≫1. Physical Review Letters , 74 (15) 2969 - 2972. 10.1103/PhysRevLett.74.2969. Green open access
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1993

Lubin, M; Sokal, AD; (1993) Comment on ``Antiferromagnetic Potts Models''. Phys.Rev.Lett. , 71 (11) 1778 -1778. 10.1103/PhysRevLett.71.1778. Green open access
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This list was generated on Sun Feb 1 00:16:49 2026 GMT.