A. S., Kiran Kumar; Maurya, Shambhu Nath; Saha, Koushik Linear eigenvalue statistics of \(XX^\prime\) matrices. (English) Zbl 07783347 J. Math. Phys. 64, No. 12, Article ID 123302, 27 p. (2023). MSC: 15B52 15A18 15B05 60B20 PDFBibTeX XMLCite \textit{K. K. A. S.} et al., J. Math. Phys. 64, No. 12, Article ID 123302, 27 p. (2023; Zbl 07783347) Full Text: DOI arXiv
Imamura, Takashi; Mucciconi, Matteo; Sasamoto, Tomohiro New approach to KPZ models through free fermions at positive temperature. (English) Zbl 1520.81204 J. Math. Phys. 64, No. 8, Article ID 083301, 11 p. (2023). MSC: 81V74 82C10 PDFBibTeX XMLCite \textit{T. Imamura} et al., J. Math. Phys. 64, No. 8, Article ID 083301, 11 p. (2023; Zbl 1520.81204) Full Text: DOI
Bain, Emily Local correlation functions of the two-periodic weighted Aztec diamond in mesoscopic limit. (English) Zbl 1511.82007 J. Math. Phys. 64, No. 2, Article ID 023301, 64 p. (2023). MSC: 82B20 82C20 PDFBibTeX XMLCite \textit{E. Bain}, J. Math. Phys. 64, No. 2, Article ID 023301, 64 p. (2023; Zbl 1511.82007) Full Text: DOI arXiv
Adler, Mark; van Moerbeke, Pierre Double interlacing in random tiling models. (English) Zbl 1511.60141 J. Math. Phys. 64, No. 3, Article ID 033509, 36 p. (2023). MSC: 60K35 15B52 60B20 PDFBibTeX XMLCite \textit{M. Adler} and \textit{P. van Moerbeke}, J. Math. Phys. 64, No. 3, Article ID 033509, 36 p. (2023; Zbl 1511.60141) Full Text: DOI arXiv
Palheta, Pedro H. S.; Barbosa, Marcelo R.; Novaes, Marcel Commutators of random matrices from the unitary and orthogonal groups. (English) Zbl 1508.15028 J. Math. Phys. 63, No. 11, Article ID 113502, 17 p. (2022). MSC: 15B52 60B20 47B47 PDFBibTeX XMLCite \textit{P. H. S. Palheta} et al., J. Math. Phys. 63, No. 11, Article ID 113502, 17 p. (2022; Zbl 1508.15028) Full Text: DOI arXiv
Bose, Arup; Maurya, Shambhu Nath; Saha, Koushik Time dependent fluctuations of linear eigenvalue statistics of some patterned matrices. (English) Zbl 1507.60011 J. Math. Phys. 63, No. 3, Article ID 033304, 16 p. (2022). MSC: 60B20 15B52 15A18 60J65 05B20 PDFBibTeX XMLCite \textit{A. Bose} et al., J. Math. Phys. 63, No. 3, Article ID 033304, 16 p. (2022; Zbl 1507.60011) Full Text: DOI arXiv
Jonnadula, Bhargavi; Keating, Jonathan P.; Mezzadri, Francesco Symmetric function theory and unitary invariant ensembles. (English) Zbl 1498.60036 J. Math. Phys. 62, No. 9, Article ID 093512, 34 p. (2021). MSC: 60B20 05E05 PDFBibTeX XMLCite \textit{B. Jonnadula} et al., J. Math. Phys. 62, No. 9, Article ID 093512, 34 p. (2021; Zbl 1498.60036) Full Text: DOI arXiv
Forrester, P. J.; Mazzuca, G. The classical \(\beta \)-ensembles with \(\beta\) proportional to \(1/N\): from loop equations to Dyson’s disordered chain. (English) Zbl 1469.60031 J. Math. Phys. 62, No. 7, Article ID 073505, 22 p. (2021). MSC: 60B20 15B52 62P35 82B44 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{G. Mazzuca}, J. Math. Phys. 62, No. 7, Article ID 073505, 22 p. (2021; Zbl 1469.60031) Full Text: DOI arXiv
Maurya, Shambhu Nath; Saha, Koushik Fluctuations of linear eigenvalue statistics of reverse circulant and symmetric circulant matrices with independent entries. (English) Zbl 1464.60008 J. Math. Phys. 62, No. 4, Article ID 043506, 31 p. (2021). Reviewer: Fraser Daly (Edinburgh) MSC: 60B20 60F05 62E17 PDFBibTeX XMLCite \textit{S. N. Maurya} and \textit{K. Saha}, J. Math. Phys. 62, No. 4, Article ID 043506, 31 p. (2021; Zbl 1464.60008) Full Text: DOI
Chang, Shuhua; Jiang, Tiefeng; Qi, Yongcheng Eigenvalues of large chiral non-Hermitian random matrices. (English) Zbl 1468.15022 J. Math. Phys. 61, No. 1, 013508, 31 p. (2020). Reviewer: Carlos Gabriel Pacheco (Ciudad de México) MSC: 15B52 15A18 60G55 60F05 60B20 33C10 41A60 PDFBibTeX XMLCite \textit{S. Chang} et al., J. Math. Phys. 61, No. 1, 013508, 31 p. (2020; Zbl 1468.15022) Full Text: DOI
Blower, Gordon; Brett, Caroline; Doust, Ian Statistical mechanics of the periodic Benjamin-Ono equation. (English) Zbl 1428.82025 J. Math. Phys. 60, No. 9, 093302, 25 p. (2019). MSC: 82B30 37K10 35Q53 35C08 46E35 82D05 76N15 35R06 35Q31 35R09 70H20 PDFBibTeX XMLCite \textit{G. Blower} et al., J. Math. Phys. 60, No. 9, 093302, 25 p. (2019; Zbl 1428.82025) Full Text: DOI arXiv
Basu, Riddhipratim; Sarkar, Sourav; Sly, Allan Coalescence of geodesics in exactly solvable models of last passage percolation. (English) Zbl 1480.60284 J. Math. Phys. 60, No. 9, 093301, 22 p. (2019). MSC: 60K35 82B43 53C22 PDFBibTeX XMLCite \textit{R. Basu} et al., J. Math. Phys. 60, No. 9, 093301, 22 p. (2019; Zbl 1480.60284) Full Text: DOI arXiv
He, Jimmy A power series identity and Bessel-type integrals over unitary groups. (English) Zbl 1409.81165 J. Math. Phys. 60, No. 2, 023506, 11 p. (2019). MSC: 81V05 20C35 49M27 43A85 58A35 19C09 PDFBibTeX XMLCite \textit{J. He}, J. Math. Phys. 60, No. 2, 023506, 11 p. (2019; Zbl 1409.81165) Full Text: DOI arXiv
Keating, David; Sridhar, Ananth Random tilings with the GPU. (English) Zbl 1400.82043 J. Math. Phys. 59, No. 9, 091420, 17 p. (2018). MSC: 82B20 82-08 05C90 65D18 68U05 65C40 65Y10 PDFBibTeX XMLCite \textit{D. Keating} and \textit{A. Sridhar}, J. Math. Phys. 59, No. 9, 091420, 17 p. (2018; Zbl 1400.82043) Full Text: DOI arXiv
Adler, Mark; van Moerbeke, Pierre Probability distributions related to tilings of non-convex polygons. (English) Zbl 1400.52018 J. Math. Phys. 59, No. 9, 091418, 21 p. (2018). MSC: 52C20 PDFBibTeX XMLCite \textit{M. Adler} and \textit{P. van Moerbeke}, J. Math. Phys. 59, No. 9, 091418, 21 p. (2018; Zbl 1400.52018) Full Text: DOI arXiv
Forrester, Peter J.; Trinh, Allan K. Functional form for the leading correction to the distribution of the largest eigenvalue in the GUE and LUE. (English) Zbl 1407.60007 J. Math. Phys. 59, No. 5, 053302, 18 p. (2018). MSC: 60B20 60G15 15B52 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{A. K. Trinh}, J. Math. Phys. 59, No. 5, 053302, 18 p. (2018; Zbl 1407.60007) Full Text: DOI arXiv
Borodin, Alexei Stochastic higher spin six vertex model and Macdonald measures. (English) Zbl 1382.82029 J. Math. Phys. 59, No. 2, 023301, 17 p. (2018). MSC: 82C22 82C23 82C31 60H15 PDFBibTeX XMLCite \textit{A. Borodin}, J. Math. Phys. 59, No. 2, 023301, 17 p. (2018; Zbl 1382.82029) Full Text: DOI arXiv Link
Lee, Eunghyun Some conditional probabilities in the TASEP with second class particles. (English) Zbl 1377.81259 J. Math. Phys. 58, No. 12, 123301, 11 p. (2017). MSC: 81V70 81S05 81Q80 82B23 PDFBibTeX XMLCite \textit{E. Lee}, J. Math. Phys. 58, No. 12, 123301, 11 p. (2017; Zbl 1377.81259) Full Text: DOI arXiv
Adhikari, Kartick; Saha, Koushik Fluctuations of eigenvalues of patterned random matrices. (English) Zbl 1379.60005 J. Math. Phys. 58, No. 6, 063301, 20 p. (2017). Reviewer: N. G. Gamkrelidze (Moskva) MSC: 60B20 15B52 15A18 PDFBibTeX XMLCite \textit{K. Adhikari} and \textit{K. Saha}, J. Math. Phys. 58, No. 6, 063301, 20 p. (2017; Zbl 1379.60005) Full Text: DOI arXiv
Chen, Min; Chen, Yang; Fan, Engui Perturbed Hankel determinant, correlation functions and Painlevé equations. (English) Zbl 1338.33020 J. Math. Phys. 57, No. 2, 023501, 31 p. (2016). MSC: 33C45 34M55 15A04 15A15 PDFBibTeX XMLCite \textit{M. Chen} et al., J. Math. Phys. 57, No. 2, 023501, 31 p. (2016; Zbl 1338.33020) Full Text: DOI arXiv
Bleher, Pavel; Liechty, Karl Six-vertex model with partial domain wall boundary conditions: ferroelectric phase. (English) Zbl 1334.82077 J. Math. Phys. 56, No. 2, 023302, 28 p. (2015). Reviewer: Ivan A. Parinov (Rostov-na-Donu) MSC: 82D45 82B20 82B26 PDFBibTeX XMLCite \textit{P. Bleher} and \textit{K. Liechty}, J. Math. Phys. 56, No. 2, 023302, 28 p. (2015; Zbl 1334.82077) 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
Witte, N. S.; Forrester, P. J. Moments of the Gaussian {\(\beta\)} ensembles and the large-\(N\) expansion of the densities. (English) Zbl 1301.82023 J. Math. Phys. 55, No. 8, 083302, 34 p. (2014). MSC: 82B31 60B20 15B52 PDFBibTeX XMLCite \textit{N. S. Witte} and \textit{P. J. Forrester}, J. Math. Phys. 55, No. 8, 083302, 34 p. (2014; Zbl 1301.82023) Full Text: DOI arXiv
Shcherbina, M. Change of variables as a method to study general {\(\beta\)}-models: bulk universality. (English) Zbl 1296.82032 J. Math. Phys. 55, No. 4, 043504, 23 p. (2014). MSC: 82B44 15B52 15A18 60B20 PDFBibTeX XMLCite \textit{M. Shcherbina}, J. Math. Phys. 55, No. 4, 043504, 23 p. (2014; Zbl 1296.82032) Full Text: DOI arXiv
Bufetov, Alexey Kerov’s interlacing sequences and random matrices. (English) Zbl 1321.60011 J. Math. Phys. 54, No. 11, 113302, 10 p. (2013). MSC: 60B20 15B52 PDFBibTeX XMLCite \textit{A. Bufetov}, J. Math. Phys. 54, No. 11, 113302, 10 p. (2013; Zbl 1321.60011) Full Text: DOI arXiv
Lee, Ji Oon; Schnelli, Kevin Local deformed semicircle law and complete delocalization for Wigner matrices with random potential. (English) Zbl 1288.82031 J. Math. Phys. 54, No. 10, 103504, 62 p. (2013). MSC: 82B44 15B52 60B20 15A18 PDFBibTeX XMLCite \textit{J. O. Lee} and \textit{K. Schnelli}, J. Math. Phys. 54, No. 10, 103504, 62 p. (2013; Zbl 1288.82031) Full Text: DOI arXiv
Mingo, James A.; Popa, Mihai Real second order freeness and Haar orthogonal matrices. (English) Zbl 1321.15057 J. Math. Phys. 54, No. 5, 051701, 35 p. (2013). MSC: 15B52 PDFBibTeX XMLCite \textit{J. A. Mingo} and \textit{M. Popa}, J. Math. Phys. 54, No. 5, 051701, 35 p. (2013; Zbl 1321.15057) Full Text: DOI arXiv
Takahashi, Yuta; Katori, Makoto Noncolliding Brownian motion with drift and time-dependent Stieltjes-Wigert determinantal point process. (English) Zbl 1287.60098 J. Math. Phys. 53, No. 10, 103305, 23 p. (2012). MSC: 60J65 60G55 82B31 PDFBibTeX XMLCite \textit{Y. Takahashi} and \textit{M. Katori}, J. Math. Phys. 53, No. 10, 103305, 23 p. (2012; Zbl 1287.60098) Full Text: DOI arXiv
Szabo, Richard J.; Tierz, Miguel Matrix models and stochastic growth in Donaldson-Thomas theory. (English) Zbl 1278.81141 J. Math. Phys. 53, No. 10, 103502, 28 p. (2012). MSC: 81T30 81T45 82B26 14J32 32Q25 14J80 14D21 PDFBibTeX XMLCite \textit{R. J. Szabo} and \textit{M. Tierz}, J. Math. Phys. 53, No. 10, 103502, 28 p. (2012; Zbl 1278.81141) Full Text: DOI arXiv
Bourgade, Paul; Erdos, László; Yau, Horng-Tzer Bulk universality of general {\(\beta\)}-ensembles with non-convex potential. (English) Zbl 1278.82032 J. Math. Phys. 53, No. 9, 095221, 19 p. (2012). MSC: 82B44 15B52 60E15 PDFBibTeX XMLCite \textit{P. Bourgade} et al., J. Math. Phys. 53, No. 9, 095221, 19 p. (2012; Zbl 1278.82032) Full Text: DOI arXiv
Baik, Jinho; Liechty, Karl; Schehr, Grégory On the joint distribution of the maximum and its position of the Airy\({}_2\) process minus a parabola. (English) Zbl 1278.82070 J. Math. Phys. 53, No. 8, 083303, 13 p. (2012). MSC: 82D60 82D30 82C43 82C31 34M55 33C10 PDFBibTeX XMLCite \textit{J. Baik} et al., J. Math. Phys. 53, No. 8, 083303, 13 p. (2012; Zbl 1278.82070) Full Text: DOI arXiv
Mezzadri, F.; Simm, N. J. Moments of the transmission eigenvalues, proper delay times and random matrix theory. II. (English) Zbl 1275.81043 J. Math. Phys. 53, No. 5, 053504, 42 p. (2012). MSC: 81Q37 82D37 81Q50 81U20 15B52 37D50 PDFBibTeX XMLCite \textit{F. Mezzadri} and \textit{N. J. Simm}, J. Math. Phys. 53, No. 5, 053504, 42 p. (2012; Zbl 1275.81043) Full Text: DOI arXiv Link
Poplavskyi, M. Asymptotic behavior of the Verblunsky coefficients for the OPUC with a varying weight. (English) Zbl 1277.42032 J. Math. Phys. 53, No. 4, 043510, 21 p. (2012). MSC: 42C05 46C05 PDFBibTeX XMLCite \textit{M. Poplavskyi}, J. Math. Phys. 53, No. 4, 043510, 21 p. (2012; Zbl 1277.42032) Full Text: DOI arXiv Link
Delvaux, Steven Average characteristic polynomials in the two-matrix model. (English) Zbl 1314.60025 J. Math. Phys. 52, No. 1, 013513, 23 p. (2011). MSC: 60B20 15B52 81T15 82B30 PDFBibTeX XMLCite \textit{S. Delvaux}, J. Math. Phys. 52, No. 1, 013513, 23 p. (2011; Zbl 1314.60025) Full Text: DOI arXiv
Shcherbina, Tatyana On universality of bulk local regime of the Hermitian sample covariance matrices. (English) Zbl 1314.62160 J. Math. Phys. 51, No. 10, 103516, 27 p. (2010). MSC: 62J10 60B20 15B52 15A18 PDFBibTeX XMLCite \textit{T. Shcherbina}, J. Math. Phys. 51, No. 10, 103516, 27 p. (2010; Zbl 1314.62160) Full Text: DOI
Tracy, Craig A.; Widom, Harold Formulas for joint probabilities for the asymmetric simple exclusion process. (English) Zbl 1311.60118 J. Math. Phys. 51, No. 6, 063302, 10 p. (2010). MSC: 60K35 82C22 82C23 PDFBibTeX XMLCite \textit{C. A. Tracy} and \textit{H. Widom}, J. Math. Phys. 51, No. 6, 063302, 10 p. (2010; Zbl 1311.60118) Full Text: DOI arXiv
Zhou, Da-Sheng; Liu, Dang-Zheng; Qian, Tao Fixed trace {\(\beta\)}-Hermite ensembles: asymptotic eigenvalue density and the edge of the density. (English) Zbl 1309.15056 J. Math. Phys. 51, No. 3, 033301, 19 p. (2010). MSC: 15B52 60B20 28C20 PDFBibTeX XMLCite \textit{D.-S. Zhou} et al., J. Math. Phys. 51, No. 3, 033301, 19 p. (2010; Zbl 1309.15056) Full Text: DOI arXiv
Shcherbina, Mariya; Tirozzi, Brunello Central limit theorem for fluctuations of linear eigenvalue statistics of large random graphs. (English) Zbl 1309.05163 J. Math. Phys. 51, No. 2, 023523, 20 p. (2010). MSC: 05C80 15B52 15A18 60F05 PDFBibTeX XMLCite \textit{M. Shcherbina} and \textit{B. Tirozzi}, J. Math. Phys. 51, No. 2, 023523, 20 p. (2010; Zbl 1309.05163) Full Text: DOI arXiv
Féral, Delphine; Péché, Sandrine The largest eigenvalues of sample covariance matrices for a spiked population: diagonal case. (English) Zbl 1342.62100 J. Math. Phys. 50, No. 7, 073302, 33 p. (2009). MSC: 62H25 05C50 05C80 15A18 PDFBibTeX XMLCite \textit{D. Féral} and \textit{S. Péché}, J. Math. Phys. 50, No. 7, 073302, 33 p. (2009; Zbl 1342.62100) Full Text: DOI arXiv
Tracy, Craig A.; Widom, Harold Total current fluctuations in the asymmetric simple exclusion process. (English) Zbl 1241.82051 J. Math. Phys. 50, No. 9, 095204, 4 p. (2009). MSC: 82C22 60F05 60K35 PDFBibTeX XMLCite \textit{C. A. Tracy} and \textit{H. Widom}, J. Math. Phys. 50, No. 9, 095204, 4 p. (2009; Zbl 1241.82051) Full Text: DOI arXiv
Choup, Leonard N. Edgeworth expansion of the largest eigenvalue distribution function of Gaussian orthogonal ensemble. (English) Zbl 1200.82029 J. Math. Phys. 50, No. 1, 013512, 22 p. (2009). MSC: 82B44 15A18 60F05 PDFBibTeX XMLCite \textit{L. N. Choup}, J. Math. Phys. 50, No. 1, 013512, 22 p. (2009; Zbl 1200.82029) Full Text: DOI arXiv
Imamura, T.; Sasamoto, T. Correlation function of the Schur process with a fixed final partition. (English) Zbl 1152.81484 J. Math. Phys. 49, No. 5, 053302, 20 p. (2008). MSC: 81-XX PDFBibTeX XMLCite \textit{T. Imamura} and \textit{T. Sasamoto}, J. Math. Phys. 49, No. 5, 053302, 20 p. (2008; Zbl 1152.81484) Full Text: DOI arXiv
Shcherbina, Mariya Double scaling limit for matrix models with nonanalytic potentials. (English) Zbl 1153.81432 J. Math. Phys. 49, No. 3, 033501, 34 p. (2008). MSC: 82B41 33E17 PDFBibTeX XMLCite \textit{M. Shcherbina}, J. Math. Phys. 49, No. 3, 033501, 34 p. (2008; Zbl 1153.81432) Full Text: DOI arXiv
Pastur, L. Limiting laws of linear eigenvalue statistics for Hermitian matrix models. (English) Zbl 1112.82022 J. Math. Phys. 47, No. 10, 103303, 22 p. (2006). MSC: 82B41 15A18 60E10 60F05 82B10 PDFBibTeX XMLCite \textit{L. Pastur}, J. Math. Phys. 47, No. 10, 103303, 22 p. (2006; Zbl 1112.82022) Full Text: DOI arXiv
Dumitriu, Ioana; Edelman, Alan Global spectrum fluctuations for the \(\beta\)-Hermite and \(\beta\)-Laguerre ensembles via matrix models. (English) Zbl 1112.82021 J. Math. Phys. 47, No. 6, 063302, 36 p. (2006). MSC: 82B41 15A18 15B52 33C90 60G15 PDFBibTeX XMLCite \textit{I. Dumitriu} and \textit{A. Edelman}, J. Math. Phys. 47, No. 6, 063302, 36 p. (2006; Zbl 1112.82021) Full Text: DOI arXiv
Forrester, P. J.; Frankel, N. E.; Garoni, T. M. Asymptotic form of the density profile for Gaussian and Laguerre random matrix ensembles with orthogonal and symplectic symmetry. (English) Zbl 1111.82019 J. Math. Phys. 47, No. 2, 023301, 26 p. (2006). MSC: 82B41 15B52 62E20 PDFBibTeX XMLCite \textit{P. J. Forrester} et al., J. Math. Phys. 47, No. 2, 023301, 26 p. (2006; Zbl 1111.82019) Full Text: DOI arXiv
Lange, Alexander The Epstein-Glaser approach to perturbative quantum field theory: graphs and Hopf algebras. (English) Zbl 1110.81144 J. Math. Phys. 46, No. 6, 062304, 33 p. (2005). MSC: 81T15 16W30 81-02 81T18 PDFBibTeX XMLCite \textit{A. Lange}, J. Math. Phys. 46, No. 6, 062304, 33 p. (2005; Zbl 1110.81144) Full Text: DOI arXiv
Cassandro, Marzio; Ferrari, Pablo Augusto; Merola, Immacolata; Presutti, Errico Geometry of contours and peierls estimates in \(d=1\) Ising models with long range interactions. (English) Zbl 1110.82006 J. Math. Phys. 46, No. 5, 053305, 22 p. (2005). MSC: 82B20 82B26 PDFBibTeX XMLCite \textit{M. Cassandro} et al., J. Math. Phys. 46, No. 5, 053305, 22 p. (2005; Zbl 1110.82006) Full Text: DOI arXiv
Soshnikov, Alexander; Fyodorov, Yan V. On the largest singular values of random matrices with independent Cauchy entries. (English) Zbl 1067.82022 J. Math. Phys. 46, No. 3, 033302, 15 p. (2005). MSC: 82B41 60G55 62E10 PDFBibTeX XMLCite \textit{A. Soshnikov} and \textit{Y. V. Fyodorov}, J. Math. Phys. 46, No. 3, 033302, 15 p. (2005; Zbl 1067.82022) Full Text: DOI arXiv
Forrester, P. J.; Frankel, N. E. Applications and generalizations of Fisher-Hartwig asymptotics. (English) Zbl 1071.82014 J. Math. Phys. 45, No. 5, 2003-2028 (2004). MSC: 82B20 47B35 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{N. E. Frankel}, J. Math. Phys. 45, No. 5, 2003--2028 (2004; Zbl 1071.82014) Full Text: DOI arXiv