Bothner, Thomas; Little, Alex The complex elliptic Ginibre ensemble at weak non-Hermiticity: edge spacing distributions. (English) Zbl 07901525 Random Matrices Theory Appl. 13, No. 3, Article ID 2450012, 100 p. (2024). MSC: 47G10 47B35 60B20 15B52 45J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Basor, Estelle; Conrey, Brian Factoring determinants and applications to number theory. (English) Zbl 07901523 Random Matrices Theory Appl. 13, No. 2, Article ID 2450010, 33 p. (2024). MSC: 47B35 11M50 15A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bothner, Thomas; Little, Alex The complex elliptic Ginibre ensemble at weak non-Hermiticity: bulk spacing distributions. (English) Zbl 07871271 J. Phys. A, Math. Theor. 57, No. 25, Article ID 255201, 54 p. (2024). MSC: 82-XX 81-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Xu, Shuai-Xia; Zhao, Shu-Quan; Zhao, Yu-Qiu On the Fredholm determinant of the confluent hypergeometric kernel with discontinuities. (English) Zbl 1541.37072 Physica D 461, Article ID 134101, 23 p. (2024). MSC: 37J65 37J38 34M46 34M55 34M50 34M30 33C15 33E17 15B52 15A15 60B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
De, Sandipan; Sarkar, Jaydeb; Shankar, P; R, Sankar T. Isometric pairs with compact + normal cross-commutator. arXiv:2401.10807 Preprint, arXiv:2401.10807 [math.FA] (2024). MSC: 47A15 32A10 42B30 47A13 30H10 47A65 46E30 47B47 15A15 × Cite Format Result Cite Full Text: arXiv OA License
Bothner, Thomas A Riemann-Hilbert approach to Fredholm determinants of Hankel composition operators: scalar-valued kernels. (English) Zbl 1537.45006 J. Funct. Anal. 285, No. 12, Article ID 110160, 109 p. (2023). MSC: 45P05 47B35 15B52 47G10 35Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Girotti, Manuela; Grava, Tamara; Jenkins, Robert; McLaughlin, Ken T.-R.; Minakov, Alexander Soliton versus the gas: Fredholm determinants, analysis, and the rapid oscillations behind the kinetic equation. (English) Zbl 1527.35353 Commun. Pure Appl. Math. 76, No. 11, 3233-3299 (2023). MSC: 35Q53 35Q15 82D05 82C40 35B05 35B40 35A01 35A02 15A15 15B52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Gielerak, Roman Renormalized von Neumann entropy with application to entanglement in genuine infinite dimensional systems. (English) Zbl 07739389 Quantum Inf. Process. 22, No. 8, Paper No. 311, 40 p. (2023). MSC: 81P17 81P40 81P48 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Xia, Jun; Hao, Yi-Fan; Xu, Shuai-Xia; Zhang, Lun; Zhao, Yu-Qiu Asymptotics of the deformed higher order Airy-kernel determinants and applications. (English) Zbl 1531.34081 Nonlinearity 36, No. 8, 4384-4424 (2023). MSC: 34M55 34M50 33E17 33C10 41A60 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gamayun, O.; Zhuravlev, Yu; Iorgov, N. On Landauer-Büttiker formalism from a quantum quench. (English) Zbl 07682025 J. Phys. A, Math. Theor. 56, No. 20, Article ID 205203, 31 p. (2023). MSC: 82-XX 81-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fahs, B.; Krasovsky, I.; Maroudas, T. -H. Probability of two large gaps in the bulk and at the edge of the spectrum of random matrices. (English) Zbl 07827909 Basor, Estelle (ed.) et al., Toeplitz operators and random matrices. In memory of Harold Widom. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 289, 361-369 (2022). MSC: 47B35 15B48 60B20 × Cite Format Result Cite Review PDF Full Text: DOI
Barraquand, Guillaume; Krajenbrink, Alexandre; Le Doussal, Pierre Half-space stationary Kardar-Parisi-Zhang equation beyond the Brownian case. (English) Zbl 1507.35286 J. Phys. A, Math. Theor. 55, No. 27, Article ID 275004, 40 p. (2022). MSC: 35Q82 82D60 60J65 60J70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Carneiro da Cunha, Bruno; Nejad, Salman Abarghouei; Anselmo, Tiago; Nelson, Rhodri; Crowdy, Darren G. Zeros of the isomonodromic tau functions in constructive conformal mapping of polycircular arc domains: the \(n\)-vertex case. (English) Zbl 1499.81084 J. Phys. A, Math. Theor. 55, No. 2, Article ID 025201, 43 p. (2022). MSC: 81T40 × Cite Format Result Cite Review PDF Full Text: DOI
Cardona, Duván; Delgado, Julio; Ruzhansky, Michael Determinants and Plemelj-Smithies formulas. (English) Zbl 1504.47041 Monatsh. Math. 199, No. 3, 459-482 (2022). MSC: 47B10 35S05 58J40 22E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Delgado, Julio A Poincaré determinant on the torus. (English) Zbl 07535450 J. Pseudo-Differ. Oper. Appl. 13, No. 3, Paper No. 29, 13 p. (2022). MSC: 47B10 35S05 58J40 22E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jackson, Joshua D.; Woerdeman, Hugo J. Minimal realizations and determinantal representations in the indefinite setting. (English) Zbl 1490.15014 Integral Equations Oper. Theory 94, No. 2, Paper No. 18, 13 p. (2022). MSC: 15A16 15A15 47A13 13P15 × Cite Format Result Cite Review PDF Full Text: DOI
Liao, Yuchen Multi-point distribution of discrete time periodic TASEP. (English) Zbl 1505.60089 Probab. Theory Relat. Fields 182, No. 3-4, 1053-1131 (2022). MSC: 60K35 82C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Hartmann, Luiz; Lesch, Matthias Zeta and Fredholm determinants of self-adjoint operators. (English) Zbl 1486.58020 J. Funct. Anal. 283, No. 1, Article ID 109491, 27 p. (2022). MSC: 58J52 47B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hiroshima, Fumio; Muminov, Zahriddin; Kuljanov, Utkir Threshold of discrete Schrödinger operators with delta potentials on \(n\)-dimensional lattice. (English) Zbl 1487.81092 Linear Multilinear Algebra 70, No. 5, 919-954 (2022). MSC: 81Q10 35P15 47N50 39A12 35B34 35B30 15A15 81Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Das, Sayan; Zhu, Weitao Upper-tail large deviation principle for the ASEP. (English) Zbl 1485.60030 Electron. J. Probab. 27, Paper No. 11, 34 p. (2022). Reviewer: Vakhtang V. Kvaratskhelia (Tbilisi) MSC: 60F10 60J27 60B12 15B52 15A15 82C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Farenick, Douglas; Ojo, Oluwatobi Ruth; Plosker, Sarah Universality of Weyl unitaries. (English) Zbl 1482.15013 Linear Algebra Appl. 634, 57-76 (2022). Reviewer: Bojan Kuzma (Ljubljana) MSC: 15A30 15A15 15A18 15B57 46L07 47A13 47L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Freed, Daniel S. The Atiyah-Singer index theorem. (English) Zbl 1523.58019 Bull. Am. Math. Soc., New Ser. 58, No. 4, 517-566 (2021). Reviewer: Bo Liu (Bures-sur-Yvette) MSC: 58J20 58J28 58J52 19K56 81T50 47A53 53C27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fucci, Guglielmo; Gesztesy, Fritz; Kirsten, Klaus; Stanfill, Jonathan Spectral \(\zeta\)-functions and \(\zeta\)-regularized functional determinants for regular Sturm-Liouville operators. (English) Zbl 1496.47010 Res. Math. Sci. 8, No. 4, Paper No. 61, 46 p. (2021). MSC: 47A10 47B10 47G10 34B27 34L40 34B24 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Das, Sayan; Tsai, Li-Cheng Fractional moments of the stochastic heat equation. (English. French summary) Zbl 1472.60051 Ann. Inst. Henri Poincaré, Probab. Stat. 57, No. 2, 778-799 (2021). MSC: 60F10 60H15 35K05 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Stefan, Anthony; Welters, Aaron A short proof of the symmetric determinantal representation of polynomials. (English) Zbl 1472.32001 Linear Algebra Appl. 627, 80-93 (2021). Reviewer: Mihai Putinar (Santa Barbara) MSC: 32A08 15A15 15A22 47A56 47A13 93B25 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Tığlay, Feride Integrating evolution equations using Fredholm determinants. (English) Zbl 1458.35139 Electron. Res. Arch. 29, No. 2, 2141-2147 (2021). MSC: 35G25 35P05 35C15 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Sui, Xiang An algorithm for computing least-squares function-valued Padé-type approximation. (English) Zbl 1463.65086 Int. J. Math. Comput. Sci. 16, No. 1, 1-8 (2021). MSC: 65F40 45B05 65R20 × Cite Format Result Cite Review PDF Full Text: Link
Kowalewski, Gerhard Introduction to determinant theory including Fredholm’s determinants. Reprint of the 1942 edition. (Einführung in die Determinantentheorie einschließlich der Fredholmschen Determinanten.) (German) Zbl 1495.15001 Berlin: De Gruyter (ISBN 978-3-11-112603-6/hbk; 978-3-11-149241-4/ebook). 320 p. (2020). MSC: 15-01 15-03 01A75 15A15 45-01 45B05 × Cite Format Result Cite Review PDF Full Text: DOI
Helminck, Gerard F.; Panasenko, Elena Aleksandrovna Properties of the algebra psd related to integrable hierarchies. (English) Zbl 1478.35248 Vestn. Ross. Univ., Mat. 25, No. 130, 183-195 (2020). MSC: 35S05 47L80 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Suzuki, Masatoshi Integral operators arising from the Riemann zeta function. (English) Zbl 1451.11091 Mishou, Hidehiko (ed.) et al., Various aspects of multiple zeta functions – in honor of Professor Kohji Matsumoto’s 60th birthday. Proceedings of the international conference, Nagoya University, Nagoya, Japan August 21–25, 2020. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 84, 399-411 (2020). MSC: 11M06 45A05 33B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Minh, Hà Quang Infinite-dimensional log-determinant divergences between positive definite Hilbert-Schmidt operators. (English) Zbl 1506.47063 Positivity 24, No. 3, 631-662 (2020). MSC: 47B65 47L07 15A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Berglund, Nils Metastability of stochastic PDEs and Fredholm determinants. (Métastabilité d’EDP stochastiques et déterminants de Fredholm.) (French) Zbl 1456.60157 Gaz. Math., Soc. Math. Fr. 163, 14-25 (2020). MSC: 60H15 80M60 × Cite Format Result Cite Review PDF Full Text: arXiv
De, Sandipan; P, Shankar.; Sarkar, Jaydeb; R, Sankar T. Pairs of projections and commuting isometries. arXiv:2008.12322 Preprint, arXiv:2008.12322 [math.FA] (2020). MSC: 47A13 47A65 47B47 15A15 47B35 47B07 × Cite Format Result Cite Full Text: arXiv OA License
Friedlander, Leonid On multiplicative properties of determinants. (English) Zbl 1457.58021 Kuchment, Peter (ed.) et al., Differential equations, mathematical physics, and applications. Selim Grigorievich Krein centennial. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 734, 123-128 (2019). MSC: 58J52 58J40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Charlier, Christophe; Doeraene, Antoine The generating function for the Bessel point process and a system of coupled Painlevé V equations. (English) Zbl 1422.60013 Random Matrices Theory Appl. 8, No. 3, Article ID 1950008, 31 p. (2019). MSC: 60B20 41A60 35Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gesztesy, Fritz; Kirsten, Klaus On traces and modified Fredholm determinants for half-line Schrödinger operators with purely discrete spectra. (English) Zbl 1500.47067 Q. Appl. Math. 77, No. 3, 615-630 (2019). MSC: 47E05 34L40 47A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gesztesy, Fritz; Kirsten, Klaus Effective computation of traces, determinants, and \(\zeta\)-functions for Sturm-Liouville operators. (English) Zbl 06988448 J. Funct. Anal. 276, No. 2, 520-562 (2019); addendum ibid. 284, No. 4, Article ID 109781, 1 p. (2023). MSC: 47A10 47B10 47G10 34B27 34L40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Leung, Chi-Wai; Ng, Chi-Keung Berkovich spectra of elements in Banach rings. (English) Zbl 1434.46049 J. Number Theory 195, 184-216 (2019). Reviewer: Enno Nagel (Paris) MSC: 46S10 47S10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dyukarev, Yuriĭ M. The zeros of determinants of matrix-valued polynomials that are orthonormal on a semi-infinite or finite interval. (English. Russian original) Zbl 07025724 Sb. Math. 209, No. 12, 1745-1755 (2018); translation from Mat. Sb. 209, No. 12, 75-86 (2018). MSC: 47A53 42C05 47A56 × Cite Format Result Cite Review PDF Full Text: DOI
Delvaux, Steven The tacnode kernel: equality of Riemann-Hilbert and Airy resolvent formulas. (English) Zbl 1407.82036 Int. Math. Res. Not. 2018, No. 1, 160-201 (2018). MSC: 82C27 35Q15 60B20 60G55 60J65 41A35 34M55 33C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gavrylenko, Pavlo; Iorgov, Nikolai; Lisovyy, Oleg On solutions of the Fuji-Suzuki-Tsuda system. (English) Zbl 1412.34243 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 123, 27 p. (2018). Reviewer: Mykola Grygorenko (Kyïv) MSC: 34M55 34M56 33E17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gebert, Martin On an integral formula for Fredholm determinants related to pairs of spectral projections. (English) Zbl 1512.47023 Integral Equations Oper. Theory 90, No. 3, Paper No. 35, 20 p. (2018). MSC: 47A55 15A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ludewig, Matthias Heat kernel asymptotics, path integrals and infinite-dimensional determinants. (English) Zbl 1393.58019 J. Geom. Phys. 131, 66-88 (2018). MSC: 58J37 58J52 35K08 58B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Minh, Hà Quang Infinite-dimensional log-determinant divergences between positive definite trace class operators. (English) Zbl 06950133 Linear Algebra Appl. 528, 331-383 (2017). MSC: 47B65 47L07 46E22 15A15 × Cite Format Result Cite Review PDF Full Text: DOI
Basor, Estelle; Bleher, Pavel Exact solution of the classical dimer model on a triangular lattice: monomer-monomer correlations. (English) Zbl 1377.82009 Commun. Math. Phys. 356, No. 2, 397-425 (2017). MSC: 82B20 82D60 15B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Anari, Nima; Gharan, Shayan Oveis A generalization of permanent inequalities and applications in counting and optimization. (English) Zbl 1370.26031 Hatami, Hamed (ed.) et al., Proceedings of the 49th annual ACM SIGACT symposium on theory of computing, STOC ’17, Montreal, QC, Canada, June 19–23, 2017. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-4528-6). 384-396 (2017). MSC: 26D05 05C70 15A15 47A13 90C27 90C59 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bertola, Marco The Malgrange form and Fredholm determinants. (English) Zbl 1374.35274 SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 046, 12 p. (2017). MSC: 35Q15 47A53 47A68 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grinshpan, Anatolii; Kaliuzhnyi-Verbovetskyi, Dmitry S.; Vinnikov, Victor; Woerdeman, Hugo J. Matrix-valued Hermitian Positivstellensatz, lurking contractions, and contractive determinantal representations of stable polynomials. (English) Zbl 1377.47005 Eisner, Tanja (ed.) et al., Operator theory, function spaces, and applications. International workshop on operator theory and applications, Amsterdam, The Netherlands, July 14–18, 2014. Basel: Birkhäuser/Springer (ISBN 978-3-319-31381-8/hbk; 978-3-319-31383-2/ebook). Operator Theory: Advances and Applications 255, 123-136 (2016). MSC: 47A13 15A15 13P15 90C25 93B28 47N70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zinger, Aleksey The determinant line bundle for Fredholm operators: construction, properties, and classification. (English) Zbl 1354.58032 Math. Scand. 118, No. 2, 203-268 (2016). MSC: 58J52 58B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Migler, Joseph Functional calculus and joint torsion of pairs of almost commuting operators. (English) Zbl 1346.47003 Integral Equations Oper. Theory 85, No. 2, 167-190 (2016). Reviewer: Michal Zajac (Bratislava) MSC: 47A13 19C20 47A53 47A60 47B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Borodin, Alexei; Corwin, Ivan; Gorin, Vadim; Shakirov, Shamil Observables of Macdonald processes. (English) Zbl 1331.05221 Trans. Am. Math. Soc. 368, No. 3, 1517-1558 (2016). MSC: 05E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Bensalloua, Cheniti; Nadir, Mostefa General note on the theorem of Stampfli. (English) Zbl 1331.05116 J. Inequal. Appl. 2016, Paper No. 55, 12 p. (2016). MSC: 05C38 15A15 05A15 15A18 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Knill, Oliver On Fredholm determinants in topology. arXiv:1612.08229 Preprint, arXiv:1612.08229 [math.GN] (2016). MSC: 47A53 05C99 11C20 × Cite Format Result Cite Full Text: arXiv OA License
Gesztesy, Fritz; Nichols, Roger A Jost-Pais-type reduction of (modified) Fredholm determinants for semi-separable operators in infinite dimensions. (English) Zbl 06767994 Alpay, Daniel (ed.) et al., Recent advances in inverse scattering, Schur analysis and stochastic processes. A collection of papers dedicated to Lev Sakhnovich. Cham: Birkhäuser/Springer. Oper. Theory: Adv. Appl. 244, 287-314 (2015). MSC: 47B10 47G10 34B27 34L40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Privault, Nicolas; Wu, Hailing Computation of Fredholm determinants for quadratic Ornstein-Uhlenbeck functionals. (English) Zbl 1357.60086 Taiwanese J. Math. 19, No. 5, 1541-1559 (2015). MSC: 60J60 44A10 45B05 45D05 60J70 65F40 91G20 91G60 × Cite Format Result Cite Review PDF Full Text: DOI
Fedorov, F. M.; Ivanova, O. F.; Pavlov, N. N. Particularities of infinite systems. (Russian. English summary) Zbl 1374.15005 Mat. Zamet. SVFU 22, No. 4, 62-78 (2015). MSC: 15A06 15A15 × Cite Format Result Cite Review PDF
Deitmar, Anton Ihara zeta functions of infinite weighted graphs. (English) Zbl 1323.05059 SIAM J. Discrete Math. 29, No. 4, 2100-2116 (2015). MSC: 05C22 05C63 05C38 11F72 11M36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bothner, Thomas; Its, Alexander Rudol’fovich Asymptotics of a cubic sine kernel determinant. (English) Zbl 1318.82015 St. Petersbg. Math. J. 26, No. 4, 515-565 (2015) and Algebra Anal. 26, No. 4, 2-91 (2014). MSC: 82B23 33E05 34E05 34M50 82C23 15B52 15A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential. I. (English) Zbl 1321.82027 Commun. Math. Phys. 337, No. 3, 1397-1463 (2015). Reviewer: Guy Jumarie (Montréal) MSC: 82C22 15B52 15A18 15A15 60G55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Latushkin, Yuri; Pogan, Alin The infinite dimensional Evans function. (English) Zbl 1308.47051 J. Funct. Anal. 268, No. 6, 1509-1586 (2015). MSC: 47D06 34G10 47A52 47A56 47A58 47B10 47G10 34B27 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Borodin, Alexei; Corwin, Ivan Discrete time \(q\)-TASEPs. (English) Zbl 1310.82030 Int. Math. Res. Not. 2015, No. 2, 499-537 (2015). MSC: 82C22 15A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brent, Richard P.; Osborn, Judy-anne H.; Smith, Warren D. Note on best possible bounds for determinants of matrices close to the identity matrix. (English) Zbl 1303.15007 Linear Algebra Appl. 466, 21-26 (2015). MSC: 15A15 15A45 15B34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Carey, Alan; Gesztesy, Fritz; Potapov, Denis; Sukochev, Fedor; Tomilov, Yuri A Jost-Pais-type reduction of Fredholm determinants and some applications. (English) Zbl 1311.47027 Integral Equations Oper. Theory 79, No. 3, 389-447 (2014). Reviewer: Vladimir S. Pilidi (Rostov-na-Donu) MSC: 47B10 47G10 34B27 34L40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ciecierska, Grażyna On some application of algebraic quasinuclei to the determinant theory. (English) Zbl 1364.47001 J. Appl. Math. Comput. Mech. 12, No. 3, 27-38 (2013). MSC: 47A13 15A15 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Woerdeman, Hugo J. Determinantal representations of stable polynomials. (English) Zbl 1282.15009 Kaashoek, Marinus A. (ed.) et al., Advances in structured operator theory and related areas. The Leonid Lerer anniversary volume on the occasion of his 70th birthday. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0638-1/hbk; 978-3-0348-0639-8/ebook). Operator Theory: Advances and Applications 237, 241-246 (2013). MSC: 15A15 11C20 47A13 47A48 × Cite Format Result Cite Review PDF Full Text: DOI
Grinshpan, Anatolii; Kaliuzhnyi-Verbovetskyi, Dmitry S.; Woerdeman, Hugo J. Norm-constrained determinantal representations of multivariable polynomials. (English) Zbl 1273.15004 Complex Anal. Oper. Theory 7, No. 3, 635-654 (2013). MSC: 15A15 47A13 47A20 47A48 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bertola, M.; Cafasso, M. The gap probabilities of the tacnode, Pearcey and Airy point processes, their mutual relationship and evaluation. (English) Zbl 1274.60154 Random Matrices Theory Appl. 2, No. 2, Article ID 1350003, 18 p. (2013). MSC: 60G55 60B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kaashoek, Marinus A. (ed.); Rodman, Leiba (ed.); Woerdeman, Hugo J. (ed.) Advances in structured operator theory and related areas. The Leonid Lerer anniversary volume on the occasion of his 70th birthday. (English) Zbl 1272.47001 Operator Theory: Advances and Applications 237. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0638-1/hbk; 978-3-0348-0639-8/ebook). xix, 246 p. (2013). MSC: 47-06 00B15 00B30 01A70 47A68 47B35 47A13 47A48 39Bxx 15A15 × Cite Format Result Cite Review PDF Full Text: DOI
Möller, M.; Pohl, A. D. Period functions for Hecke triangle groups, and the Selberg zeta function as a Fredholm determinant. (English) Zbl 1277.37048 Ergodic Theory Dyn. Syst. 33, No. 1, 247-283 (2013). Reviewer: Victor Sharapov (Volgograd) MSC: 37C30 37C85 11M36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bentosela, François; Cornean, Horia D.; Marchetti, Nicola MIMO capacity for deterministic channel models: sublinear growth. (English) Zbl 1255.93018 Math. Methods Appl. Sci. 36, No. 1, 18-27 (2013). MSC: 93A30 94A40 15A18 35P15 47B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Adler, M.; Cafasso, M.; Van Moerbeke, P. Non-linear PDEs for gap probabilities in random matrices and KP theory. (English) Zbl 1270.35205 Physica D 241, No. 23-24, 2265-2284 (2012). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 35G50 60B20 37K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Katori, Makoto System of complex Brownian motions associated with the O’Connell process. (English) Zbl 1254.82009 J. Stat. Phys. 149, No. 3, 411-431 (2012). MSC: 82B20 37K10 60J65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gesztesy, Fritz; Nichols, Roger Weak convergence of spectral shift functions for one-dimensional Schrödinger operators. (English) Zbl 1263.47026 Math. Nachr. 285, No. 14-15, 1799-1838 (2012). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 47B25 34L05 34L25 34L40 34B24 34B27 47E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gesztesy, Fritz; Nichols, Roger An abstract approach to weak convergence of spectral shift functions and applications to multi-dimensional Schrödinger operators. (English) Zbl 1263.47015 J. Spectr. Theory 2, No. 3, 225-266 (2012). Reviewer: Mihai Pascu (Bucureşti) MSC: 47A40 35J10 35P25 47B10 34L40 47E05 47F05 47N50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bertola, M.; Cafasso, M. The transition between the gap probabilities from the Pearcey to the Airy process – a Riemann-Hilbert approach. (English) Zbl 1251.60005 Int. Math. Res. Not. 2012, No. 7, 1519-1568 (2012). Reviewer: Alexander V. Bulinski (Moskva) MSC: 60B20 60K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bertola, M.; Cafasso, M. Fredholm determinants and pole-free solutions to the noncommutative Painlevé II equation. (English) Zbl 1234.35171 Commun. Math. Phys. 309, No. 3, 793-833 (2012). Reviewer: Rodica Luca Tudorache (Iaşi) MSC: 35Q15 34M55 47N20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Kaad, J. Joint torsion of several commuting operators. (English) Zbl 1248.47006 Adv. Math. 229, No. 1, 442-486 (2012). Reviewer: Trieu Le (Toledo) MSC: 47A13 15A15 18G35 19C20 47B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kozlowski, K. K. On form factors of the conjugated field in the nonlinear Schrödinger model. (English) Zbl 1272.35176 J. Math. Phys. 52, No. 8, 083302, 22 p. (2011). MSC: 35Q55 35R30 39A12 81U40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
van Moerbeke, Pierre Random and integrable models in mathematics and physics. (English) Zbl 1252.15043 Harnad, John (ed.), Random matrices, random processes and integrable systems. Berlin: Springer (ISBN 978-1-4419-9513-1/hbk; 978-1-4419-9514-8/ebook). CRM Series in Mathematical Physics, 3-130 (2011). Reviewer: Ludwig Kohaupt (Berlin) MSC: 15B52 37J35 15B05 15A15 37K10 15B57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bettelheim, E.; Kaplan, Y.; Wiegmann, P. Fermi edge resonances in non-equilibrium states of Fermi gases. (English) Zbl 1222.82056 J. Phys. A, Math. Theor. 44, No. 28, Article ID 282001, 11 p. (2011). MSC: 82C10 82D05 45B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lisovyy, Oleg Dyson’s constant for the hypergeometric kernel. (English) Zbl 1226.34087 Feigin, Boris (ed.) et al., New trends in quantum integrable systems. Proceedings of the infinite analysis 09, Kyoto, Japan, 27–31, July 2009. Dedicated to Tetsuji Miwa on the occasion on his 60th birthday. Hackensack, NJ: World Scientific (ISBN 978-981-4324-36-6/hbk; 978-981-4324-37-3/ebook). 243-267 (2011). Reviewer: Galina Filipuk (Warszawa) MSC: 34M55 × Cite Format Result Cite Review PDF Full Text: arXiv
McKean, Henry P. Fredholm determinants. (English) Zbl 1223.46002 Cent. Eur. J. Math. 9, No. 2, 205-243 (2011). Reviewer: Dirk Werner (Berlin) MSC: 46-02 47-02 47A53 60J65 35Q53 15B52 × Cite Format Result Cite Review PDF Full Text: DOI
Gesztesy, Fritz; Latushkin, Yuri; Makarov, Konstantin A.; Sukochev, Fedor; Tomilov, Yuri The index formula and the spectral shift function for relatively trace class perturbations. (English) Zbl 1220.47017 Adv. Math. 227, No. 1, 319-420 (2011). Reviewer: Yakov Yakubov (Tel-Aviv) MSC: 47A53 58J30 47A10 47A40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Katori, Makoto; Tanemura, Hideki Noncolliding squared Bessel processes. (English) Zbl 1211.82036 J. Stat. Phys. 142, No. 3, 592-615 (2011). MSC: 82C21 60K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bornemann, F. On the numerical evaluation of distributions in random matrix theory: a review. (English) Zbl 1222.60013 Markov Process. Relat. Fields 16, No. 4, 803-866 (2010). MSC: 60B20 15B52 65R20 33E17 47G10 × Cite Format Result Cite Review PDF Full Text: 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Latushkin, Y.; Sukhtayev, A. The algebraic multiplicity of eigenvalues and the Evans function revisited. (English) Zbl 1193.35110 Math. Model. Nat. Phenom. 5, No. 4, 269-292 (2010). MSC: 35P05 47A55 47E05 35J10 47F05 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Anderson, Greg W.; Guionnet, Alice; Zeitouni, Ofer An introduction to random matrices. (English) Zbl 1184.15023 Cambridge Studies in Advanced Mathematics 118. Cambridge: Cambridge University Press (ISBN 978-0-521-19452-5/hbk). xiv, 492 p. (2010). Reviewer: Václav Burjan (Praha) MSC: 15-01 15B52 15A18 60B20 × Cite Format Result Cite Review PDF Full Text: DOI Backlinks: MO
Krasovsky, Igor Large gap asymptotics for random matrices. (English) Zbl 1184.15025 Sidoravičius, Vladas (ed.), New trends in mathematical physics. Selected contributions of the XVth international congress on mathematical physics, Rio de Janeiro, Brazil, August 5–11, 2006. Dordrecht: Springer (ISBN 978-90-481-2809-9/hbk; 978-90-481-2810-5/ebook). 413-419 (2009). MSC: 15B52 15A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gesztesy, Fritz; Mitrea, Marius; Zinchenko, Maxim On Dirichlet-to-Neumann maps and some applications to modified Fredholm determinants. (English) Zbl 1169.47014 Janas, Jan (ed.) et al., Methods of spectral analysis in mathematical physics. Conference on operator theory, analysis and mathematical physics (OTAMP), Lund, Sweden, June 15–22, 2006. Basel: Birkhäuser (ISBN 978-3-7643-8754-9/hbk). Operator Theory: Advances and Applications 186, 191-215 (2009). Reviewer: Josef Wloka (Kiel) MSC: 47B10 47G10 34B27 34L40 × Cite Format Result Cite Review PDF Full Text: arXiv
Deift, P.; Its, A.; Krasovsky, I. Asymptotics of the Airy-kernel determinant. (English) Zbl 1167.15005 Commun. Math. Phys. 278, No. 3, 643-678 (2008). Reviewer: Isabel Marrero (La Laguna) MSC: 15A15 15A60 11M06 15B52 47G10 47A53 47B35 82B05 82B44 33C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Teo, Lee-Peng Universal index theorem on \(\mathrm{M\"ob}(S^1)\setminus \mathrm{Diff}_+(S^1)\). (English) Zbl 1157.30015 J. Geom. Phys. 58, No. 11, 1540-1570 (2008). Reviewer: Yaşar Polatoḡlu (Istanbul) MSC: 30C55 58J52 45B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tracy, Craig A.; Widom, Harold A Fredholm determinant representation in ASEP. (English) Zbl 1144.82045 J. Stat. Phys. 132, No. 2, 291-300 (2008). MSC: 82C22 82C10 45B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rochon, Frédéric On the topology of the space of invertible pseudodifferential operators of order 0. (Sur la topologie de l’espace des opérateurs pseudodifférentiels inversibles d’ordre 0.) (French. English summary) Zbl 1154.58014 Ann. Inst. Fourier 58, No. 1, 29-62 (2008). Reviewer: Luigi Rodino (Torino) MSC: 58J40 58B05 58B15 35J45 11M06 11M36 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Gu, Chuanqing; Shen, Jindong Computational aspect for function-valued Padé-type approximation. (English) Zbl 1174.65401 Numer. Math., J. Chin. Univ. 16, No. 2, 171-180 (2007). MSC: 65F40 65R20 45B05 41A21 × Cite Format Result Cite Review PDF