Corwin, Ivan; Knizel, Alisa Stationary measure for the open KPZ equation. (English) Zbl 07807922 Commun. Pure Appl. Math. 77, No. 4, 2183-2267 (2024). MSC: 60H15 60K35 60J25 82C22 35R60 PDFBibTeX XMLCite \textit{I. Corwin} and \textit{A. Knizel}, Commun. Pure Appl. Math. 77, No. 4, 2183--2267 (2024; Zbl 07807922) Full Text: DOI arXiv
Barraquand, Guillaume; Corwin, Ivan Stationary measures for the log-gamma polymer and KPZ equation in half-space. (English) Zbl 07793393 Ann. Probab. 51, No. 5, 1830-1869 (2023). MSC: 60G10 60H15 60J25 82C23 PDFBibTeX XMLCite \textit{G. Barraquand} and \textit{I. Corwin}, Ann. Probab. 51, No. 5, 1830--1869 (2023; Zbl 07793393) Full Text: DOI arXiv
Gantert, Nina; Nestoridi, Evita; Schmid, Dominik Mixing times for the simple exclusion process with open boundaries. (English) Zbl 1525.60113 Ann. Appl. Probab. 33, No. 2, 1172-1212 (2023). MSC: 60K35 60J27 82C22 PDFBibTeX XMLCite \textit{N. Gantert} et al., Ann. Appl. Probab. 33, No. 2, 1172--1212 (2023; Zbl 1525.60113) Full Text: DOI arXiv
Ayyer, Arvind; Mandelshtam, Olya; Martin, James B. Modified Macdonald polynomials and the multispecies zero-range process. I. (English) Zbl 1511.05227 Algebr. Comb. 6, No. 1, 243-284 (2023). MSC: 05E05 05E10 05A10 05A19 05A05 33D52 PDFBibTeX XMLCite \textit{A. Ayyer} et al., Algebr. Comb. 6, No. 1, 243--284 (2023; Zbl 1511.05227) Full Text: DOI arXiv
Barraquand, Guillaume; Le Doussal, Pierre Stationary measures of the KPZ equation on an interval from Enaud-Derrida’s matrix product ansatz representation. (English) Zbl 07667193 J. Phys. A, Math. Theor. 56, No. 14, Article ID 144003, 14 p. (2023). MSC: 82-XX 60-XX PDFBibTeX XMLCite \textit{G. Barraquand} and \textit{P. Le Doussal}, J. Phys. A, Math. Theor. 56, No. 14, Article ID 144003, 14 p. (2023; Zbl 07667193) Full Text: DOI arXiv
Mansour, Toufik [Williams, Lauren K.] Interview with Lauren K. Williams. (English) Zbl 1511.01037 Enumer. Comb. Appl. 2, No. 3, Article ID S3I12, 7 p. (2022). MSC: 01A70 PDFBibTeX XMLCite \textit{T. Mansour}, Enumer. Comb. Appl. 2, No. 3, Article ID S3I12, 7 p. (2022; Zbl 1511.01037) Full Text: DOI
Mansour, Toufik [Viennot, Xavier] Interview with Xavier Viennot. (English) Zbl 1511.01031 Enumer. Comb. Appl. 2, No. 1, Article ID S3I4, 27 p. (2022). MSC: 01A70 PDFBibTeX XMLCite \textit{T. Mansour}, Enumer. Comb. Appl. 2, No. 1, Article ID S3I4, 27 p. (2022; Zbl 1511.01031) Full Text: DOI
De Masi, Anna; Marchesani, Stefano; Olla, Stefano; Xu, Lu Quasi-static limit for the asymmetric simple exclusion. (English) Zbl 1495.82017 Probab. Theory Relat. Fields 183, No. 3-4, 1075-1117 (2022). MSC: 82C22 82C70 82C20 82C41 60K35 PDFBibTeX XMLCite \textit{A. De Masi} et al., Probab. Theory Relat. Fields 183, No. 3--4, 1075--1117 (2022; Zbl 1495.82017) Full Text: DOI arXiv
Beaudoin, André; Bergeron, Geoffroy; Brillant, Antoine; Gaboriaud, Julien; Vinet, Luc; Zhedanov, Alexei Orthogonal polynomials and the deformed Jordan plane. (English) Zbl 1491.33009 J. Math. Anal. Appl. 507, No. 1, Article ID 125717, 10 p. (2022). MSC: 33C47 PDFBibTeX XMLCite \textit{A. Beaudoin} et al., J. Math. Anal. Appl. 507, No. 1, Article ID 125717, 10 p. (2022; Zbl 1491.33009) Full Text: DOI arXiv
Crampé, Nicolas; Frappat, Luc; Gaboriaud, Julien; Poulain d’Andecy, Loïc; Ragoucy, Eric; Vinet, Luc The Askey-Wilson algebra and its avatars. (English) Zbl 1519.81276 J. Phys. A, Math. Theor. 54, No. 6, Article ID 063001, 32 p. (2021). MSC: 81R05 33D45 17B37 PDFBibTeX XMLCite \textit{N. Crampé} et al., J. Phys. A, Math. Theor. 54, No. 6, Article ID 063001, 32 p. (2021; Zbl 1519.81276) Full Text: DOI arXiv
Banerjee, Tirthankar; Maes, Christian Active gating: rocking diffusion channels. (English) Zbl 1519.82065 J. Phys. A, Math. Theor. 54, No. 2, Article ID 025004, 20 p. (2021). MSC: 82C22 82C20 81S22 82D05 PDFBibTeX XMLCite \textit{T. Banerjee} and \textit{C. Maes}, J. Phys. A, Math. Theor. 54, No. 2, Article ID 025004, 20 p. (2021; Zbl 1519.82065) Full Text: DOI arXiv
Corteel, Sylvie; Mandelshtam, Olya; Williams, Lauren Cylindric rhombic tableaux and the two-species ASEP on a ring. (English) Zbl 1499.60327 Alekseev, Anton (ed.) et al., Representation theory, mathematical physics, and integrable systems. In honor of Nicolai Reshetikhin. Cham: Birkhäuser. Prog. Math. 340, 135-162 (2021). MSC: 60K35 05E05 82C22 PDFBibTeX XMLCite \textit{S. Corteel} et al., Prog. Math. 340, 135--162 (2021; Zbl 1499.60327) Full Text: DOI arXiv
Marchesani, Stefano; Olla, Stefano; Xu, Lu Quasi-static limit for a hyperbolic conservation law. (English) Zbl 1478.35147 NoDEA, Nonlinear Differ. Equ. Appl. 28, No. 5, Paper No. 53, 12 p. (2021). Reviewer: Evgeniy Panov (Veliky Novgorod) MSC: 35L65 35L04 35B40 PDFBibTeX XMLCite \textit{S. Marchesani} et al., NoDEA, Nonlinear Differ. Equ. Appl. 28, No. 5, Paper No. 53, 12 p. (2021; Zbl 1478.35147) Full Text: DOI arXiv
Roy, Dipankar The phase diagram for a class of multispecies permissive asymmetric exclusion processes. (English) Zbl 07330540 J. Stat. Mech. Theory Exp. 2021, No. 1, Article ID 013201, 19 p. (2021). MSC: 82-XX PDFBibTeX XMLCite \textit{D. Roy}, J. Stat. Mech. Theory Exp. 2021, No. 1, Article ID 013201, 19 p. (2021; Zbl 07330540) Full Text: DOI arXiv
Wood, Anthony J.; Blythe, Richard A.; Evans, Martin R. Combinatorial mappings of exclusion processes. (English) Zbl 1514.60110 J. Phys. A, Math. Theor. 53, No. 12, Article ID 123001, 51 p. (2020). MSC: 60K35 05E10 82C03 PDFBibTeX XMLCite \textit{A. J. Wood} et al., J. Phys. A, Math. Theor. 53, No. 12, Article ID 123001, 51 p. (2020; Zbl 1514.60110) Full Text: DOI arXiv
Frassek, Rouven Eigenstates of triangularisable open XXX spin chains and closed-form solutions for the steady state of the open SSEP. (English) Zbl 1457.82067 J. Stat. Mech. Theory Exp. 2020, No. 5, Article ID 053104, 27 p. (2020). MSC: 82B20 82B23 PDFBibTeX XMLCite \textit{R. Frassek}, J. Stat. Mech. Theory Exp. 2020, No. 5, Article ID 053104, 27 p. (2020; Zbl 1457.82067) Full Text: DOI arXiv
Corteel, Sylvie; Nunge, Arthur Combinatorics of the 2-species exclusion processes, marked Laguerre histories, and partially signed permutations. (English) Zbl 1444.05002 Electron. J. Comb. 27, No. 2, Research Paper P2.53, 27 p. (2020). MSC: 05A05 05A19 PDFBibTeX XMLCite \textit{S. Corteel} and \textit{A. Nunge}, Electron. J. Comb. 27, No. 2, Research Paper P2.53, 27 p. (2020; Zbl 1444.05002) Full Text: DOI arXiv
Aas, Erik; Grinberg, Darij; Scrimshaw, Travis Multiline queues with spectral parameters. (English) Zbl 1436.05111 Commun. Math. Phys. 374, No. 3, 1743-1786 (2020). MSC: 05E05 60K35 82C22 PDFBibTeX XMLCite \textit{E. Aas} et al., Commun. Math. Phys. 374, No. 3, 1743--1786 (2020; Zbl 1436.05111) Full Text: DOI arXiv
Bryc, Włodzimierz; Wang, Yizao Limit fluctuations for density of asymmetric simple exclusion processes with open boundaries. (English. French summary) Zbl 1434.60066 Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 4, 2169-2194 (2019). MSC: 60F05 60K35 PDFBibTeX XMLCite \textit{W. Bryc} and \textit{Y. Wang}, Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 4, 2169--2194 (2019; Zbl 1434.60066) Full Text: DOI arXiv Euclid
Gonzales, Ken Joffaniel M.; Celeste, Richell O.; Corcino, Roberto B. Staircase tableaux and an alternative matrix formula for steady state probabilities in the asymmetric exclusion process \((q=1)\). (English) Zbl 1449.05009 DML, Discrete Math. Lett. 2, 26-31 (2019). MSC: 05A10 05A15 60C05 05E10 PDFBibTeX XMLCite \textit{K. J. M. Gonzales} et al., DML, Discrete Math. Lett. 2, 26--31 (2019; Zbl 1449.05009) Full Text: Link
Bryc, Włodzimierz; Świeca, Marcin On matrix product ansatz for asymmetric simple exclusion process with open boundary in the singular case. (English) Zbl 1426.82038 J. Stat. Phys. 177, No. 2, 252-284 (2019). MSC: 82C22 33D45 PDFBibTeX XMLCite \textit{W. Bryc} and \textit{M. Świeca}, J. Stat. Phys. 177, No. 2, 252--284 (2019; Zbl 1426.82038) Full Text: DOI arXiv
Ayyer, Arvind; Finn, Caley; Roy, Dipankar The phase diagram for a multispecies left-permeable asymmetric exclusion process. (English) Zbl 1412.82026 J. Stat. Phys. 174, No. 3, 605-621 (2019). MSC: 82C22 60K35 PDFBibTeX XMLCite \textit{A. Ayyer} et al., J. Stat. Phys. 174, No. 3, 605--621 (2019; Zbl 1412.82026) Full Text: DOI arXiv Link
Finn, C.; Ragoucy, E.; Vanicat, M. Matrix product solution to multi-species ASEP with open boundaries. (English) Zbl 1459.82135 J. Stat. Mech. Theory Exp. 2018, No. 4, Article ID 043201, 28 p. (2018). MSC: 82C05 82C22 60K35 PDFBibTeX XMLCite \textit{C. Finn} et al., J. Stat. Mech. Theory Exp. 2018, No. 4, Article ID 043201, 28 p. (2018; Zbl 1459.82135) Full Text: DOI arXiv Link
Barraquand, Guillaume; Borodin, Alexei; Corwin, Ivan; Wheeler, Michael Stochastic six-vertex model in a half-quadrant and half-line open asymmetric simple exclusion process. (English) Zbl 1434.60270 Duke Math. J. 167, No. 13, 2457-2529 (2018). MSC: 60K35 82B23 05E05 60H15 82D30 PDFBibTeX XMLCite \textit{G. Barraquand} et al., Duke Math. J. 167, No. 13, 2457--2529 (2018; Zbl 1434.60270) Full Text: DOI arXiv Euclid
Mandelshtam, Olya; Viennot, Xavier Rhombic alternative tableaux and assemblées of permutations. (English) Zbl 1393.05290 Eur. J. Comb. 73, 1-19 (2018). MSC: 05E10 05A05 05A15 PDFBibTeX XMLCite \textit{O. Mandelshtam} and \textit{X. Viennot}, Eur. J. Comb. 73, 1--19 (2018; Zbl 1393.05290) Full Text: DOI arXiv
Corteel, Sylvie; Williams, Lauren K. MacDonald-Koornwinder moments and the two-species exclusion process. (English) Zbl 1391.05263 Sel. Math., New Ser. 24, No. 3, 2275-2317 (2018). MSC: 05E10 05E15 82B23 60C05 PDFBibTeX XMLCite \textit{S. Corteel} and \textit{L. K. Williams}, Sel. Math., New Ser. 24, No. 3, 2275--2317 (2018; Zbl 1391.05263) Full Text: DOI arXiv
Corteel, Sylvie; Mandelshtam, Olya; Williams, Lauren Combinatorics of the two-species ASEP and Koornwinder moments. (English) Zbl 1373.05206 Adv. Math. 321, 160-204 (2017). MSC: 05E10 82C22 82C31 PDFBibTeX XMLCite \textit{S. Corteel} et al., Adv. Math. 321, 160--204 (2017; Zbl 1373.05206) Full Text: DOI arXiv
Bryc, Włodek; Wesołowski, Jacek Asymmetric simple exclusion process with open boundaries and quadratic harnesses. (English) Zbl 1376.82055 J. Stat. Phys. 167, No. 2, 383-415 (2017). MSC: 82C22 60F10 82C20 60K35 60J25 PDFBibTeX XMLCite \textit{W. Bryc} and \textit{J. Wesołowski}, J. Stat. Phys. 167, No. 2, 383--415 (2017; Zbl 1376.82055) Full Text: DOI arXiv
Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei Tridiagonal representations of the \(q\)-oscillator algebra and Askey-Wilson polynomials. (English) Zbl 1368.81074 J. Phys. A, Math. Theor. 50, No. 23, Article ID 235202, 15 p. (2017). MSC: 81Q10 17B81 33C45 33D45 47B36 PDFBibTeX XMLCite \textit{S. Tsujimoto} et al., J. Phys. A, Math. Theor. 50, No. 23, Article ID 235202, 15 p. (2017; Zbl 1368.81074) Full Text: DOI arXiv
Cantini, Luigi Asymmetric simple exclusion process with open boundaries and Koornwinder polynomials. (English) Zbl 1372.82028 Ann. Henri Poincaré 18, No. 4, 1121-1151 (2017). Reviewer: Guy Jumarie (Montréal) MSC: 82C20 82C22 PDFBibTeX XMLCite \textit{L. Cantini}, Ann. Henri Poincaré 18, No. 4, 1121--1151 (2017; Zbl 1372.82028) Full Text: DOI arXiv
Derevyagin, Maxim; Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei Bannai-Ito polynomials and dressing chains. (English) Zbl 1304.42063 Proc. Am. Math. Soc. 142, No. 12, 4191-4206 (2014). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 42C05 17B80 33C45 47B36 PDFBibTeX XMLCite \textit{M. Derevyagin} et al., Proc. Am. Math. Soc. 142, No. 12, 4191--4206 (2014; Zbl 1304.42063) Full Text: DOI arXiv
Corteel, S.; Stanley, R.; Stanton, D.; Williams, L. Formulae for Askey-Wilson moments and enumeration of staircase tableaux. (English) Zbl 1269.05116 Trans. Am. Math. Soc. 364, No. 11, 6009-6037 (2012). MSC: 05E10 05A15 33C45 82B23 11B39 11B68 60C05 PDFBibTeX XMLCite \textit{S. Corteel} et al., Trans. Am. Math. Soc. 364, No. 11, 6009--6037 (2012; Zbl 1269.05116) Full Text: DOI arXiv
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
Josuat-Vergès, Matthieu Rook placements in Young diagrams and permutation enumeration. (English) Zbl 1225.05022 Adv. Appl. Math. 47, No. 1, 1-22 (2011). MSC: 05A15 PDFBibTeX XMLCite \textit{M. Josuat-Vergès}, Adv. Appl. Math. 47, No. 1, 1--22 (2011; Zbl 1225.05022) Full Text: DOI arXiv
Corteel, Sylvie; Josuat-Vergès, Matthieu; Williams, Lauren K. The Matrix Ansatz, orthogonal polynomials, and permutations. (English) Zbl 1227.05036 Adv. Appl. Math. 46, No. 1-4, 209-225 (2011). MSC: 05A15 05A19 33C45 PDFBibTeX XMLCite \textit{S. Corteel} et al., Adv. Appl. Math. 46, No. 1--4, 209--225 (2011; Zbl 1227.05036) Full Text: DOI arXiv
Nadeau, Philippe The structure of alternative tableaux. (English) Zbl 1235.05014 J. Comb. Theory, Ser. A 118, No. 5, 1638-1660 (2011). Reviewer: William G. Brown (Montréal) MSC: 05A15 60K35 11P83 05C05 PDFBibTeX XMLCite \textit{P. Nadeau}, J. Comb. Theory, Ser. A 118, No. 5, 1638--1660 (2011; Zbl 1235.05014) Full Text: DOI arXiv
Corteel, Sylvie; Williams, Lauren K. Staircase tableaux, the asymmetric exclusion process, and Askey-Wilson polynomials. (English) Zbl 1205.05243 Proc. Natl. Acad. Sci. USA 107, No. 15, 6726-6730 (2010). MSC: 05E10 33C45 33D45 60K35 PDFBibTeX XMLCite \textit{S. Corteel} and \textit{L. K. Williams}, Proc. Natl. Acad. Sci. USA 107, No. 15, 6726--6730 (2010; Zbl 1205.05243) Full Text: DOI
Bryc, Włodek; Wesołowski, Jacek Askey-Wilson polynomials, quadratic harnesses and martingales. (English) Zbl 1201.60077 Ann. Probab. 38, No. 3, 1221-1262 (2010). Reviewer: Alexander I. Zejfman (Vologda) MSC: 60J25 46L53 33C45 PDFBibTeX XMLCite \textit{W. Bryc} and \textit{J. Wesołowski}, Ann. Probab. 38, No. 3, 1221--1262 (2010; Zbl 1201.60077) Full Text: DOI arXiv
Sasamoto, T. Exact results for the 1D asymmetric exclusion process and KPZ fluctuations. (English) Zbl 1189.82038 Eur. Phys. J. B, Condens. Matter Complex Syst. 64, No. 3-4, 373-377 (2008). MSC: 82B31 PDFBibTeX XMLCite \textit{T. Sasamoto}, Eur. Phys. J. B, Condens. Matter Complex Syst. 64, No. 3--4, 373--377 (2008; Zbl 1189.82038) Full Text: DOI
Uchiyama, Masaru Two-species asymmetric simple exclusion process with open boundaries. (English) Zbl 1139.82320 Chaos Solitons Fractals 35, No. 2, 398-407 (2008). MSC: 82C26 82C22 33D45 33D90 PDFBibTeX XMLCite \textit{M. Uchiyama}, Chaos Solitons Fractals 35, No. 2, 398--407 (2008; Zbl 1139.82320) Full Text: DOI arXiv
Imamura, T.; Sasamoto, T. Dynamics of a tagged particle in the asymmetric exclusion process with the step initial condition. (English) Zbl 1136.82029 J. Stat. Phys. 128, No. 4, 799-846 (2007). Reviewer: Guy Jumarie (Montréal) MSC: 82C22 15B52 PDFBibTeX XMLCite \textit{T. Imamura} and \textit{T. Sasamoto}, J. Stat. Phys. 128, No. 4, 799--846 (2007; Zbl 1136.82029) Full Text: DOI arXiv
Bryc, Włodzimierz; Matysiak, Wojciech; Wesołowski, Jacek Quadratic harnesses, \(q\)-commutations, and orthogonal martingale polynomials. (English) Zbl 1129.60068 Trans. Am. Math. Soc. 359, No. 11, 5449-5483 (2007). Reviewer: Allan Gut (Uppsala) MSC: 60J25 46L53 PDFBibTeX XMLCite \textit{W. Bryc} et al., Trans. Am. Math. Soc. 359, No. 11, 5449--5483 (2007; Zbl 1129.60068) Full Text: DOI arXiv