Bornemann, Folkmar Asymptotic expansions relating to the distribution of the length of longest increasing subsequences. (English) Zbl 07819870 Forum Math. Sigma 12, Paper No. e36, 56 p. (2024). MSC: 05A16 05A05 60B20 30D15 30E15 33C10 PDFBibTeX XMLCite \textit{F. Bornemann}, Forum Math. Sigma 12, Paper No. e36, 56 p. (2024; Zbl 07819870) Full Text: DOI arXiv OA License
Krasovsky, Igor; Maroudas, Theo-Harris Airy-kernel determinant on two large intervals. (English) Zbl 07811946 Adv. Math. 440, Article ID 109505, 79 p. (2024). MSC: 47B35 60B20 PDFBibTeX XMLCite \textit{I. Krasovsky} and \textit{T.-H. Maroudas}, Adv. Math. 440, Article ID 109505, 79 p. (2024; Zbl 07811946) Full Text: DOI arXiv
Yao, Luming; Zhang, Lun On the gap probability of the tacnode process. (English) Zbl 07801740 Adv. Math. 438, Article ID 109474, 85 p. (2024). MSC: 60G55 60K35 82B41 PDFBibTeX XMLCite \textit{L. Yao} and \textit{L. Zhang}, Adv. Math. 438, Article ID 109474, 85 p. (2024; Zbl 07801740) Full Text: DOI arXiv
Fahs, Benjamin; Krasovsky, Igor Sine-kernel determinant on two large intervals. (English) Zbl 1528.60011 Commun. Pure Appl. Math. 77, No. 3, 1958-2029 (2024). MSC: 60B20 15B52 60G55 PDFBibTeX XMLCite \textit{B. Fahs} and \textit{I. Krasovsky}, Commun. Pure Appl. Math. 77, No. 3, 1958--2029 (2024; Zbl 1528.60011) Full Text: DOI arXiv OA License
Yao, Luming; Zhang, Lun Asymptotics of the hard edge Pearcey determinant. (English) Zbl 07785714 SIAM J. Math. Anal. 56, No. 1, 137-172 (2024). MSC: 47N30 60B20 30E25 PDFBibTeX XMLCite \textit{L. Yao} and \textit{L. Zhang}, SIAM J. Math. Anal. 56, No. 1, 137--172 (2024; Zbl 07785714) Full Text: DOI arXiv
Forrester, Peter J. Rank 1 perturbations in random matrix theory – a review of exact results. (English) Zbl 07803560 Random Matrices Theory Appl. 12, No. 4, Article ID 2330001, 48 p. (2023). MSC: 15B52 15A18 33E17 34M55 34M56 42C05 60B20 60K35 PDFBibTeX XMLCite \textit{P. J. Forrester}, Random Matrices Theory Appl. 12, No. 4, Article ID 2330001, 48 p. (2023; Zbl 07803560) Full Text: DOI arXiv
Blackstone, Elliot; Charlier, Christophe; Lenells, Jonatan The Bessel kernel determinant on large intervals and Birkhoff’s ergodic theorem. (English) Zbl 07749402 Commun. Pure Appl. Math. 76, No. 11, 3300-3345 (2023). MSC: 37A50 37A30 37A44 15B52 60B20 PDFBibTeX XMLCite \textit{E. Blackstone} et al., Commun. Pure Appl. Math. 76, No. 11, 3300--3345 (2023; Zbl 07749402) Full Text: DOI arXiv OA License
Claeys, T.; Krasovsky, I.; Minakov, O. Weak and strong confinement in the Freud random matrix ensemble and gap probabilities. (English) Zbl 07719669 Commun. Math. Phys. 402, No. 1, 833-894 (2023). MSC: 82Bxx 15Bxx 42Cxx PDFBibTeX XMLCite \textit{T. Claeys} et al., Commun. Math. Phys. 402, No. 1, 833--894 (2023; Zbl 07719669) Full Text: DOI arXiv
Dai, Dan; Xu, Shuai-Xia; Zhang, Lun Gap probability for the hard edge Pearcey process. (English) Zbl 1516.60030 Ann. Henri Poincaré 24, No. 6, 2067-2136 (2023). MSC: 60G55 60B20 PDFBibTeX XMLCite \textit{D. Dai} et al., Ann. Henri Poincaré 24, No. 6, 2067--2136 (2023; Zbl 1516.60030) Full Text: DOI arXiv
Dai, Dan; Zhai, Yu Asymptotics of the deformed Fredholm determinant of the confluent hypergeometric kernel. (English) Zbl 07778754 Stud. Appl. Math. 149, No. 4, 1032-1085 (2022). MSC: 30E15 33C15 60B20 PDFBibTeX XMLCite \textit{D. Dai} and \textit{Y. Zhai}, Stud. Appl. Math. 149, No. 4, 1032--1085 (2022; Zbl 07778754) Full Text: DOI arXiv
Baik, Jinho; Bothner, Thomas Edge distribution of thinned real eigenvalues in the real Ginibre ensemble. (English) Zbl 1498.60025 Ann. Henri Poincaré 23, No. 11, 4003-4056 (2022). MSC: 60B20 45M05 60G70 15B52 PDFBibTeX XMLCite \textit{J. Baik} and \textit{T. Bothner}, Ann. Henri Poincaré 23, No. 11, 4003--4056 (2022; Zbl 1498.60025) Full Text: DOI arXiv
Charlier, Christophe; Claeys, Tom; Ruzza, Giulio Uniform tail asymptotics for Airy kernel determinant solutions to KdV and for the narrow wedge solution to KPZ. (English) Zbl 1515.41016 J. Funct. Anal. 283, No. 8, Article ID 109608, 54 p. (2022). MSC: 41A60 35Q53 60G55 60H35 PDFBibTeX XMLCite \textit{C. Charlier} et al., J. Funct. Anal. 283, No. 8, Article ID 109608, 54 p. (2022; Zbl 1515.41016) Full Text: DOI arXiv
Tsai, Li-Cheng Exact lower-tail large deviations of the KPZ equation. (English) Zbl 1492.60069 Duke Math. J. 171, No. 9, 1879-1922 (2022). MSC: 60F10 60H25 PDFBibTeX XMLCite \textit{L.-C. Tsai}, Duke Math. J. 171, No. 9, 1879--1922 (2022; Zbl 1492.60069) Full Text: DOI arXiv
Blackstone, Elliot; Charlier, Christophe; Lenells, Jonatan Gap probabilities in the bulk of the Airy process. (English) Zbl 1503.60056 Random Matrices Theory Appl. 11, No. 2, Article ID 2250022, 30 p. (2022). MSC: 60G55 30E25 41A60 60B20 PDFBibTeX XMLCite \textit{E. Blackstone} et al., Random Matrices Theory Appl. 11, No. 2, Article ID 2250022, 30 p. (2022; Zbl 1503.60056) Full Text: DOI arXiv
Corwin, Ivan Z.; Deift, Percy A.; Its, Alexander R. Harold Widom’s work in random matrix theory. (English) Zbl 1486.60011 Bull. Am. Math. Soc., New Ser. 59, No. 2, 155-173 (2022). Reviewer: Olivier Marchal (Saint-Etienne) MSC: 60B20 34M55 82C22 PDFBibTeX XMLCite \textit{I. Z. Corwin} et al., Bull. Am. Math. Soc., New Ser. 59, No. 2, 155--173 (2022; Zbl 1486.60011) Full Text: DOI arXiv
Berezin, Sergey; Strahov, Eugene Gap probability for products of random matrices in the critical regime. (English) Zbl 1490.60019 J. Approx. Theory 274, Article ID 105687, 29 p. (2022). MSC: 60B20 15B52 60G55 PDFBibTeX XMLCite \textit{S. Berezin} and \textit{E. Strahov}, J. Approx. Theory 274, Article ID 105687, 29 p. (2022; Zbl 1490.60019) Full Text: DOI arXiv
Cafasso, Mattia; Claeys, Tom; Ruzza, Giulio Airy kernel determinant solutions to the KdV equation and integro-differential Painlevé equations. (English) Zbl 1477.37080 Commun. Math. Phys. 386, No. 2, 1107-1153 (2021). Reviewer: Andrei Pranevich (Grodno) MSC: 37K40 37J65 35Q53 34M55 45J05 15B52 60B20 PDFBibTeX XMLCite \textit{M. Cafasso} et al., Commun. Math. Phys. 386, No. 2, 1107--1153 (2021; Zbl 1477.37080) Full Text: DOI arXiv
Janssen, Oliver; Mirbabayi, Mehrdad Low-temperature entropy in JT gravity. (English) Zbl 1466.83066 J. High Energy Phys. 2021, No. 6, Paper No. 74, 15 p. (2021). MSC: 83C80 83D05 83C45 81P17 81T28 62P35 15A18 PDFBibTeX XMLCite \textit{O. Janssen} and \textit{M. Mirbabayi}, J. High Energy Phys. 2021, No. 6, Paper No. 74, 15 p. (2021; Zbl 1466.83066) Full Text: DOI arXiv
Lyu, Shulin; Min, Chao; Chen, Yang Asymptotics of the largest eigenvalue distribution of the Laguerre unitary ensemble. (English) Zbl 1468.81045 J. Math. Phys. 62, No. 6, Article ID 063302, 12 p. (2021). MSC: 81Q10 81Q12 15B52 15A18 42C05 41A81 PDFBibTeX XMLCite \textit{S. Lyu} et al., J. Math. Phys. 62, No. 6, Article ID 063302, 12 p. (2021; Zbl 1468.81045) Full Text: DOI arXiv
Charlier, Christophe; Lenells, Jonatan; Mauersberger, Julian Higher order large gap asymptotics at the hard edge for Muttalib-Borodin ensembles. (English) Zbl 1465.60008 Commun. Math. Phys. 384, No. 2, 829-907 (2021). MSC: 60B20 15B52 30E25 33C20 PDFBibTeX XMLCite \textit{C. Charlier} et al., Commun. Math. Phys. 384, No. 2, 829--907 (2021; Zbl 1465.60008) Full Text: DOI arXiv
Charlier, Christophe; Lenells, Jonatan; Mauersberger, Julian The multiplicative constant for the Meijer-\(G\) kernel determinant. (English) Zbl 1470.60130 Nonlinearity 34, No. 5, 2837-2877 (2021). MSC: 60G55 30E25 33C60 41A60 60B20 PDFBibTeX XMLCite \textit{C. Charlier} et al., Nonlinearity 34, No. 5, 2837--2877 (2021; Zbl 1470.60130) Full Text: DOI arXiv
Dai, Dan; Xu, Shuai-Xia; Zhang, Lun Asymptotics of Fredholm determinant associated with the Pearcey kernel. (English) Zbl 1469.60027 Commun. Math. Phys. 382, No. 3, 1769-1809 (2021). Reviewer: Nasir N. Ganikhodjaev (Tashkent) MSC: 60B20 15B52 60K35 37K10 37K20 PDFBibTeX XMLCite \textit{D. Dai} et al., Commun. Math. Phys. 382, No. 3, 1769--1809 (2021; Zbl 1469.60027) Full Text: DOI arXiv
Xu, Shuai-Xia; Zhao, Yu-Qiu Gap probability of the circular unitary ensemble with a Fisher-Hartwig singularity and the coupled Painlevé V system. (English) Zbl 1451.60019 Commun. Math. Phys. 377, No. 2, 1545-1596 (2020). MSC: 60B20 15B52 81-06 62P35 PDFBibTeX XMLCite \textit{S.-X. Xu} and \textit{Y.-Q. Zhao}, Commun. Math. Phys. 377, No. 2, 1545--1596 (2020; Zbl 1451.60019) Full Text: DOI arXiv
Majumdar, Satya N.; Pal, Arnab; Schehr, Grégory Extreme value statistics of correlated random variables: a pedagogical review. (English) Zbl 1441.62115 Phys. Rep. 840, 1-32 (2020). MSC: 62G32 62H20 62M10 62P35 60G70 60G60 62-02 PDFBibTeX XMLCite \textit{S. N. Majumdar} et al., Phys. Rep. 840, 1--32 (2020; Zbl 1441.62115) Full Text: DOI arXiv
Dai, Dan; Xu, Shuai-Xia; Zhang, Lun On integrals of the tronquée solutions and the associated Hamiltonians for the Painlevé II equation. (English) Zbl 1450.34066 J. Differ. Equations 269, No. 3, 2430-2476 (2020). Reviewer: Yousuke Ohyama (Tokushima) MSC: 34M55 33E17 60B20 PDFBibTeX XMLCite \textit{D. Dai} et al., J. Differ. Equations 269, No. 3, 2430--2476 (2020; Zbl 1450.34066) Full Text: DOI arXiv
Corwin, Ivan; Ghosal, Promit Lower tail of the KPZ equation. (English) Zbl 1457.35096 Duke Math. J. 169, No. 7, 1329-1395 (2020). Reviewer: Giovanni Mascali (Arcavacata di Rende) MSC: 35R60 15B52 60B20 82C22 60H25 PDFBibTeX XMLCite \textit{I. Corwin} and \textit{P. Ghosal}, Duke Math. J. 169, No. 7, 1329--1395 (2020; Zbl 1457.35096) Full Text: DOI arXiv Euclid
Charlier, Christophe; Claeys, Tom Large gap asymptotics for Airy kernel determinants with discontinuities. (English) Zbl 1475.37014 Commun. Math. Phys. 375, No. 2, 1299-1339 (2020). Reviewer: Carlos Gabriel Pacheco (Ciudad de México) MSC: 37A50 15B52 15A15 60B20 60G55 34M50 PDFBibTeX XMLCite \textit{C. Charlier} and \textit{T. Claeys}, Commun. Math. Phys. 375, No. 2, 1299--1339 (2020; Zbl 1475.37014) Full Text: DOI arXiv
Marchal, Olivier Asymptotic expansions of some Toeplitz determinants via the topological recursion. (English) Zbl 1437.15049 Lett. Math. Phys. 110, No. 2, 211-258 (2020). Reviewer: Carlos Gabriel Pacheco (México D. F.) MSC: 15B52 15A15 15B05 60B20 PDFBibTeX XMLCite \textit{O. Marchal}, Lett. Math. Phys. 110, No. 2, 211--258 (2020; Zbl 1437.15049) Full Text: DOI arXiv
Bothner, Thomas; Its, Alexander; Prokhorov, Andrei On the analysis of incomplete spectra in random matrix theory through an extension of the Jimbo-Miwa-Ueno differential. (English) Zbl 1447.60038 Adv. Math. 345, 483-551 (2019). MSC: 60E05 45M05 82B26 70S05 33C10 33C15 PDFBibTeX XMLCite \textit{T. Bothner} et al., Adv. Math. 345, 483--551 (2019; Zbl 1447.60038) Full Text: DOI arXiv
Xu, Shuai-Xia; Dai, Dan Tracy-Widom distributions in critical unitary random matrix ensembles and the coupled Painlevé II system. (English) Zbl 1464.60009 Commun. Math. Phys. 365, No. 2, 515-567 (2019). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60B20 15B52 PDFBibTeX XMLCite \textit{S.-X. Xu} and \textit{D. Dai}, Commun. Math. Phys. 365, No. 2, 515--567 (2019; Zbl 1464.60009) Full Text: DOI arXiv
Bothner, Thomas; Warner, William Short distance asymptotics for a generalized two-point scaling function in the two-dimensional Ising model. (English) Zbl 1407.82018 Math. Phys. Anal. Geom. 21, No. 4, Paper No. 37, 14 p. (2018). MSC: 82B20 70S05 34M55 PDFBibTeX XMLCite \textit{T. Bothner} and \textit{W. Warner}, Math. Phys. Anal. Geom. 21, No. 4, Paper No. 37, 14 p. (2018; Zbl 1407.82018) Full Text: DOI arXiv
Its, A. R.; Lisovyy, O.; Prokhorov, A. Monodromy dependence and connection formulae for isomonodromic tau functions. (English) Zbl 1396.33039 Duke Math. J. 167, No. 7, 1347-1432 (2018). Reviewer: Lalit Mohan Upadhyaya (Mussoorie) MSC: 33E17 34E05 34E10 34M35 34M40 34M55 34M56 PDFBibTeX XMLCite \textit{A. R. Its} et al., Duke Math. J. 167, No. 7, 1347--1432 (2018; Zbl 1396.33039) Full Text: DOI arXiv Euclid
Bothner, Thomas; Buckingham, Robert Large deformations of the Tracy-Widom distribution. I: Non-oscillatory asymptotics. (English) Zbl 1407.60005 Commun. Math. Phys. 359, No. 1, 223-263 (2018). MSC: 60B20 15B52 60F10 PDFBibTeX XMLCite \textit{T. Bothner} and \textit{R. Buckingham}, Commun. Math. Phys. 359, No. 1, 223--263 (2018; Zbl 1407.60005) Full Text: DOI arXiv
Sasorov, Pavel; Meerson, Baruch; Prolhac, Sylvain Large deviations of surface height in the \(1 + 1\)-dimensional Kardar-Parisi-Zhang equation: exact long-time results for \(\lambda H<0\). (English) Zbl 1457.82301 J. Stat. Mech. Theory Exp. 2017, No. 6, Article ID 063203, 13 p. (2017). MSC: 82C26 35R60 PDFBibTeX XMLCite \textit{P. Sasorov} et al., J. Stat. Mech. Theory Exp. 2017, No. 6, Article ID 063203, 13 p. (2017; Zbl 1457.82301) Full Text: DOI arXiv
Lisovyy, O.; Roussillon, J. On the connection problem for Painlevé. I. (English) Zbl 1383.34104 J. Phys. A, Math. Theor. 50, No. 25, Article ID 255202, 15 p. (2017). Reviewer: Davide Masoero (Lisboa) MSC: 34M55 34M56 34M40 PDFBibTeX XMLCite \textit{O. Lisovyy} and \textit{J. Roussillon}, J. Phys. A, Math. Theor. 50, No. 25, Article ID 255202, 15 p. (2017; Zbl 1383.34104) Full Text: DOI arXiv
Grava, Tamara; Its, Alexander; Kapaev, Andrei; Mezzadri, Francesco On the Tracy-Widom\(_\beta\) distribution for \(\beta=6\). (English) Zbl 1351.81059 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 105, 26 p. (2016). MSC: 81R12 34M50 34M55 60B20 PDFBibTeX XMLCite \textit{T. Grava} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 105, 26 p. (2016; Zbl 1351.81059) Full Text: DOI arXiv
Bogatskiy, A.; Claeys, T.; Its, A. Hankel determinant and orthogonal polynomials for a Gaussian weight with a discontinuity at the edge. (English) Zbl 1371.33034 Commun. Math. Phys. 347, No. 1, 127-162 (2016). Reviewer: Edmundo J. Huertas (Madrid) MSC: 33E17 33C47 34M55 47B35 60B20 PDFBibTeX XMLCite \textit{A. Bogatskiy} et al., Commun. Math. Phys. 347, No. 1, 127--162 (2016; Zbl 1371.33034) Full Text: DOI arXiv
Eichelsbacher, Peter; Kriecherbauer, Thomas; Schüler, Katharina Precise deviations results for the maxima of some determinantal point processes: the upper tail. (English) Zbl 1348.60039 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 093, 18 p. (2016). MSC: 60F10 60G55 60G70 60B20 42C05 35Q15 PDFBibTeX XMLCite \textit{P. Eichelsbacher} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 093, 18 p. (2016; Zbl 1348.60039) Full Text: DOI arXiv
Charlier, Christophe; Claeys, Tom Asymptotics for Toeplitz determinants: perturbation of symbols with a gap. (English) Zbl 1310.15051 J. Math. Phys. 56, No. 2, 022705, 23 p. (2015). MSC: 15B05 15A15 PDFBibTeX XMLCite \textit{C. Charlier} and \textit{T. Claeys}, J. Math. Phys. 56, No. 2, 022705, 23 p. (2015; Zbl 1310.15051) Full Text: DOI arXiv
Iorgov, N.; Lisovyy, O.; Shchechkin, A.; Tykhyy, Y. Painlevé functions and conformal blocks. (English) Zbl 1316.34096 Constr. Approx. 39, No. 1, 255-272 (2014). Reviewer: Andrei A. Kapaev (St. Petersburg) MSC: 34M55 81R12 81T40 34M40 PDFBibTeX XMLCite \textit{N. Iorgov} et al., Constr. Approx. 39, No. 1, 255--272 (2014; Zbl 1316.34096) Full Text: DOI
Bothner, Thomas; Its, Alexander Asymptotics of a Fredholm determinant corresponding to the first bulk critical universality class in random matrix models. (English) Zbl 1290.15004 Commun. Math. Phys. 328, No. 1, 155-202 (2014). MSC: 15A15 15A18 15B52 15B57 47A53 34M55 PDFBibTeX XMLCite \textit{T. Bothner} and \textit{A. Its}, Commun. Math. Phys. 328, No. 1, 155--202 (2014; Zbl 1290.15004) Full Text: DOI Link
Iorgov, N.; Lisovyy, O.; Tykhyy, Yu. Painlevé VI connection problem and monodromy of \(c\)=1 conformal blocks. (English) Zbl 1342.81500 J. High Energy Phys. 2013, No. 12, Paper No. 029, 26 p. (2013). MSC: 81T40 81R12 PDFBibTeX XMLCite \textit{N. Iorgov} et al., J. High Energy Phys. 2013, No. 12, Paper No. 029, 26 p. (2013; Zbl 1342.81500) Full Text: DOI arXiv
Claeys, T.; Wielonsky, F. On sequences of rational interpolants of the exponential function with unbounded interpolation points. (English) Zbl 1283.30068 J. Approx. Theory 171, 1-32 (2013). Reviewer: Xavier Massaneda (Barcelona) MSC: 30E10 30E05 41A20 41A05 PDFBibTeX XMLCite \textit{T. Claeys} and \textit{F. Wielonsky}, J. Approx. Theory 171, 1--32 (2013; Zbl 1283.30068) Full Text: DOI arXiv
Mo, M. Y. Rank 1 real Wishart spiked model. (English) Zbl 1257.15020 Commun. Pure Appl. Math. 65, No. 11, 1528-1638 (2012). Reviewer: Václav Burjan (Praha) MSC: 15B52 15A18 60B20 82B26 62H25 62J10 PDFBibTeX XMLCite \textit{M. Y. Mo}, Commun. Pure Appl. Math. 65, No. 11, 1528--1638 (2012; Zbl 1257.15020) Full Text: DOI arXiv
Borot, Gaëtan; Nadal, Céline Right tail asymptotic expansion of Tracy-Widom beta laws. (English) Zbl 1266.60047 Random Matrices Theory Appl. 1, No. 3, 1250006, 23 p. (2012). Reviewer: Ravi Sreenivasan (Mysore) MSC: 60F10 60B20 60G70 PDFBibTeX XMLCite \textit{G. Borot} and \textit{C. Nadal}, Random Matrices Theory Appl. 1, No. 3, 1250006, 23 p. (2012; Zbl 1266.60047) Full Text: DOI arXiv
Forrester, Peter J.; Witte, Nicholas S. Asymptotic forms for hard and soft edge general \(\beta \) conditional gap probabilities. (English) Zbl 1246.82037 Nucl. Phys., B 859, No. 3, 321-340 (2012); erratum ibid. 860, No. 3, 516 (2012). MSC: 82B31 15B52 60K35 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{N. S. Witte}, Nucl. Phys., B 859, No. 3, 321--340 (2012; Zbl 1246.82037) Full Text: DOI arXiv
Liechty, Karl Nonintersecting Brownian motions on the half-line and discrete Gaussian orthogonal polynomials. (English) Zbl 1244.82065 J. Stat. Phys. 147, No. 3, 582-622 (2012). MSC: 82C31 60J65 15B52 33E17 PDFBibTeX XMLCite \textit{K. Liechty}, J. Stat. Phys. 147, No. 3, 582--622 (2012; Zbl 1244.82065) Full Text: DOI arXiv
Borot, G.; Eynard, B.; Majumdar, S. N.; Nadal, C. Large deviations of the maximal eigenvalue of random matrices. (English) Zbl 1456.60015 J. Stat. Mech. Theory Exp. 2011, No. 11, Paper No. P11024, 56 p. (2011). MSC: 60B20 60F10 PDFBibTeX XMLCite \textit{G. Borot} et al., J. Stat. Mech. Theory Exp. 2011, No. 11, Paper No. P11024, 56 p. (2011; Zbl 1456.60015) Full Text: DOI arXiv
Ehrhardt, Torsten The asymptotics of a Bessel-kernel determinant which arises in random matrix theory. (English) Zbl 1241.47059 Adv. Math. 225, No. 6, 3088-3133 (2010). MSC: 47N30 60B20 33C10 47B35 15B52 PDFBibTeX XMLCite \textit{T. Ehrhardt}, Adv. Math. 225, No. 6, 3088--3133 (2010; Zbl 1241.47059) Full Text: DOI arXiv
Bornemann, Folkmar On the numerical evaluation of Fredholm determinants. (English) Zbl 1208.65182 Math. Comput. 79, No. 270, 871-915 (2010). Reviewer: Vladimir S. Pilidi (Rostov-na-Donu) MSC: 65R20 65F40 47G10 45P05 PDFBibTeX XMLCite \textit{F. Bornemann}, Math. Comput. 79, No. 270, 871--915 (2010; Zbl 1208.65182) Full Text: DOI arXiv
Claeys, Tom; Krasovsky, Igor; Its, Alexander Higher-order analogues of the Tracy-Widom distribution and the Painlevé II hierarchy. (English) Zbl 1198.34191 Commun. Pure Appl. Math. 63, No. 3, 362-412 (2010). Reviewer: Andrei A. Kapaev (Trieste) MSC: 34M55 34M50 15B52 33E17 PDFBibTeX XMLCite \textit{T. Claeys} et al., Commun. Pure Appl. Math. 63, No. 3, 362--412 (2010; Zbl 1198.34191) Full Text: DOI arXiv
Baik, Jinho; Buckingham, Robert; DiFranco, Jeffery Asymptotics of Tracy-Widom distributions and the total integral of a Painlevé II function. (English) Zbl 1221.33032 Commun. Math. Phys. 280, No. 2, 463-497 (2008). Reviewer: Andrei A. Kapaev (Trieste) MSC: 33E17 34M55 47B35 15B52 PDFBibTeX XMLCite \textit{J. Baik} et al., Commun. Math. Phys. 280, No. 2, 463--497 (2008; Zbl 1221.33032) Full Text: DOI arXiv
Deift, P.; Its, A.; Krasovsky, I.; Zhou, X. The Widom–Dyson constant for the gap probability in random matrix theory. (English) Zbl 1116.15019 J. Comput. Appl. Math. 202, No. 1, 26-47 (2007). Reviewer: Václav Burjan (Praha) MSC: 15B52 PDFBibTeX XMLCite \textit{P. Deift} et al., J. Comput. Appl. Math. 202, No. 1, 26--47 (2007; Zbl 1116.15019) Full Text: DOI arXiv