Universality of the double scaling limit in random matrix models. Zbl 1111.35031
Claeys, Tom; Kuijlaars, Arno B. J. |
|
2006
|
Multi-critical unitary random matrix ensembles and the general Painlevé II equation. Zbl 1179.15037
Claeys, Tom; Kuijlaars, Arno B. J.; Vanlessen, Maarten |
|
2008
|
Higher-order analogues of the Tracy-Widom distribution and the Painlevé II hierarchy. Zbl 1198.34191
Claeys, Tom; Krasovsky, Igor; Its, Alexander |
|
2010
|
Toeplitz determinants with merging singularities. Zbl 1333.15018
Claeys, T.; Krasovsky, I. |
|
2015
|
Universality of the break-up profile for the KdV equation in the small dispersion limit using the Riemann-Hilbert approach. Zbl 1173.35654
Claeys, T.; Grava, T. |
|
2009
|
Hankel determinant and orthogonal polynomials for a Gaussian weight with a discontinuity at the edge. Zbl 1371.33034
Bogatskiy, A.; Claeys, T.; Its, A. |
|
2016
|
Emergence of a singularity for Toeplitz determinants and Painlevé V. Zbl 1298.47039
Claeys, T.; Its, A.; Krasovsky, I. |
|
2011
|
Universality of a double scaling limit near singular edge points in random matrix models. Zbl 1136.82023
Claeys, T.; Vanlessen, M. |
|
2007
|
How much can the eigenvalues of a random Hermitian matrix fluctuate? Zbl 1467.60006
Claeys, T.; Fahs, B.; Lambert, G.; Webb, C. |
|
2021
|
Solitonic asymptotics for the Korteweg-de Vries equation in the small dispersion limit. Zbl 1217.35159
Claeys, Tom; Grava, Tamara |
|
2010
|
The existence of a real pole-free solution of the fourth order analogue of the Painlevé I equation. Zbl 1175.33016
Claeys, T.; Vanlessen, M. |
|
2007
|
Thinning and conditioning of the circular unitary ensemble. Zbl 1386.60025
Charlier, Christophe; Claeys, Tom |
|
2017
|
Universality in unitary random matrix ensembles when the soft edge meets the hard edge. Zbl 1147.15303
Claeys, Tom; Kuijlaars, Arno B. J. |
|
2008
|
The generating function for the Airy point process and a system of coupled Painlevé II equations. Zbl 1419.37063
Claeys, Tom; Doeraene, Antoine |
|
2018
|
Biorthogonal ensembles with two-particle interactions. Zbl 1314.60024
Claeys, Tom; Romano, Stefano |
|
2014
|
Random matrix ensembles with singularities and a hierarchy of Painlevé III equations. Zbl 1404.60009
Atkin, Max R.; Claeys, Tom; Mezzadri, Francesco |
|
2016
|
Large gap asymptotics for Airy kernel determinants with discontinuities. Zbl 1475.37014
Charlier, Christophe; Claeys, Tom |
|
2020
|
Painlevé II asymptotics near the leading edge of the oscillatory zone for the Korteweg-de Vries equation in the small-dispersion limit. Zbl 1184.35274
Claeys, Tom; Grava, Tamara |
|
2010
|
Birth of a cut in unitary random matrix ensembles. Zbl 1141.82304
Claeys, Tom |
|
2008
|
A Riemann-Hilbert approach to the lower tail of the Kardar-Parisi-Zhang equation. Zbl 1487.35269
Cafasso, Mattia; Claeys, Tom |
|
2022
|
Airy kernel determinant solutions to the KdV equation and integro-differential Painlevé equations. Zbl 1477.37080
Cafasso, Mattia; Claeys, Tom; Ruzza, Giulio |
|
2021
|
Fredholm determinant solutions of the Painlevé. II: Hierarchy and gap probabilities of determinantal point processes. Zbl 1489.60081
Cafasso, Mattia; Claeys, Tom; Girotti, Manuela |
|
2021
|
Asymptotics for the partition function in two-cut random matrix models. Zbl 1330.15039
Claeys, T.; Grava, T.; McLaughlin, K. D. T.-R. |
|
2015
|
Correlation kernels for sums and products of random matrices. Zbl 1330.15040
Claeys, Tom; Kuijlaars, Arno B. J.; Wang, Dong |
|
2014
|
Large gap asymptotics at the hard edge for product random matrices and Muttalib-Borodin ensembles. Zbl 1448.60019
Claeys, Tom; Girotti, Manuela; Stivigny, Dries |
|
2019
|
Random matrices with equispaced external source. Zbl 1291.15085
Claeys, Tom; Wang, Dong |
|
2014
|
Asymptotics for a special solution to the second member of the Painlevé I hierarchy. Zbl 1206.33022
Claeys, T. |
|
2010
|
Random matrices with merging singularities and the Painlevé V equation. Zbl 1338.60013
Claeys, Tom; Fahs, Benjamin |
|
2016
|
Propagation of singular behavior for Gaussian perturbations of random matrices. Zbl 1410.60011
Claeys, Tom; Kuijlaars, Arno B. J.; Liechty, Karl; Wang, Dong |
|
2018
|
The KdV hierarchy: universality and a Painlevé transcendent. Zbl 1256.35117
Grava, T.; Claeys, T. |
|
2012
|
Asymptotics for Toeplitz determinants: perturbation of symbols with a gap. Zbl 1310.15051
Charlier, Christophe; Claeys, Tom |
|
2015
|
Global rigidity and exponential moments for soft and hard edge point processes. Zbl 1512.60030
Charlier, Christophe; Claeys, Tom |
|
2021
|
Pole-free solutions of the first Painlevé hierarchy and non-generic critical behavior for the KdV equation. Zbl 1257.35161
Claeys, Tom |
|
2012
|
Boundaries of sine kernel universality for Gaussian perturbations of Hermitian matrices. Zbl 1423.60015
Claeys, Tom; Neuschel, Thorsten; Venker, Martin |
|
2019
|
Numerical study of higher order analogues of the Tracy-Widom distribution. Zbl 1318.35062
Claeys, T.; Olver, S. |
|
2012
|
Asymptotics for averages over classical orthogonal ensembles. Zbl 1491.15039
Claeys, Tom; Glesner, Gabriel; Minakov, Alexander; Yang, Meng |
|
2022
|
Uniform tail asymptotics for Airy kernel determinant solutions to KdV and for the narrow wedge solution to KPZ. Zbl 1515.41016
Charlier, Christophe; Claeys, Tom; Ruzza, Giulio |
|
2022
|
Gaussian perturbations of hard edge random matrix ensembles. Zbl 1375.60017
Claeys, Tom; Doeraene, Antoine |
|
2016
|
On sequences of rational interpolants of the exponential function with unbounded interpolation points. Zbl 1283.30068
Claeys, T.; Wielonsky, F. |
|
2013
|
Critical behavior of non-intersecting Brownian motions. Zbl 1446.82062
Claeys, Tom; Neuschel, Thorsten; Venker, Martin |
|
2020
|
Determinantal point processes conditioned on randomly incomplete configurations. Zbl 07788737
Claeys, Tom; Glesner, Gabriel |
|
2023
|
The Riemann-Hilbert approach to obtain critical asymptotics for Hamiltonian perturbations of hyperbolic and elliptic systems. Zbl 1244.35100
Claeys, Tom |
|
2012
|
Jánossy densities and Darboux transformations for the Stark and cylindrical KdV equations. Zbl 1541.35420
Claeys, Tom; Glesner, Gabriel; Ruzza, Giulio; Tarricone, Sofia |
|
2024
|
Critical asymptotic behavior for the Korteweg-de Vries equation and in random matrix theory. Zbl 1328.37052
Claeys, Tom; Grava, Tamara |
|
2014
|
On the integrable structure of deformed sine kernel determinants. Zbl 1533.35228
Claeys, Tom; Tarricone, Sofia |
|
2024
|
Jánossy densities and Darboux transformations for the Stark and cylindrical KdV equations. Zbl 1541.35420
Claeys, Tom; Glesner, Gabriel; Ruzza, Giulio; Tarricone, Sofia |
|
2024
|
On the integrable structure of deformed sine kernel determinants. Zbl 1533.35228
Claeys, Tom; Tarricone, Sofia |
|
2024
|
Determinantal point processes conditioned on randomly incomplete configurations. Zbl 07788737
Claeys, Tom; Glesner, Gabriel |
|
2023
|
A Riemann-Hilbert approach to the lower tail of the Kardar-Parisi-Zhang equation. Zbl 1487.35269
Cafasso, Mattia; Claeys, Tom |
|
2022
|
Asymptotics for averages over classical orthogonal ensembles. Zbl 1491.15039
Claeys, Tom; Glesner, Gabriel; Minakov, Alexander; Yang, Meng |
|
2022
|
Uniform tail asymptotics for Airy kernel determinant solutions to KdV and for the narrow wedge solution to KPZ. Zbl 1515.41016
Charlier, Christophe; Claeys, Tom; Ruzza, Giulio |
|
2022
|
How much can the eigenvalues of a random Hermitian matrix fluctuate? Zbl 1467.60006
Claeys, T.; Fahs, B.; Lambert, G.; Webb, C. |
|
2021
|
Airy kernel determinant solutions to the KdV equation and integro-differential Painlevé equations. Zbl 1477.37080
Cafasso, Mattia; Claeys, Tom; Ruzza, Giulio |
|
2021
|
Fredholm determinant solutions of the Painlevé. II: Hierarchy and gap probabilities of determinantal point processes. Zbl 1489.60081
Cafasso, Mattia; Claeys, Tom; Girotti, Manuela |
|
2021
|
Global rigidity and exponential moments for soft and hard edge point processes. Zbl 1512.60030
Charlier, Christophe; Claeys, Tom |
|
2021
|
Large gap asymptotics for Airy kernel determinants with discontinuities. Zbl 1475.37014
Charlier, Christophe; Claeys, Tom |
|
2020
|
Critical behavior of non-intersecting Brownian motions. Zbl 1446.82062
Claeys, Tom; Neuschel, Thorsten; Venker, Martin |
|
2020
|
Large gap asymptotics at the hard edge for product random matrices and Muttalib-Borodin ensembles. Zbl 1448.60019
Claeys, Tom; Girotti, Manuela; Stivigny, Dries |
|
2019
|
Boundaries of sine kernel universality for Gaussian perturbations of Hermitian matrices. Zbl 1423.60015
Claeys, Tom; Neuschel, Thorsten; Venker, Martin |
|
2019
|
The generating function for the Airy point process and a system of coupled Painlevé II equations. Zbl 1419.37063
Claeys, Tom; Doeraene, Antoine |
|
2018
|
Propagation of singular behavior for Gaussian perturbations of random matrices. Zbl 1410.60011
Claeys, Tom; Kuijlaars, Arno B. J.; Liechty, Karl; Wang, Dong |
|
2018
|
Thinning and conditioning of the circular unitary ensemble. Zbl 1386.60025
Charlier, Christophe; Claeys, Tom |
|
2017
|
Hankel determinant and orthogonal polynomials for a Gaussian weight with a discontinuity at the edge. Zbl 1371.33034
Bogatskiy, A.; Claeys, T.; Its, A. |
|
2016
|
Random matrix ensembles with singularities and a hierarchy of Painlevé III equations. Zbl 1404.60009
Atkin, Max R.; Claeys, Tom; Mezzadri, Francesco |
|
2016
|
Random matrices with merging singularities and the Painlevé V equation. Zbl 1338.60013
Claeys, Tom; Fahs, Benjamin |
|
2016
|
Gaussian perturbations of hard edge random matrix ensembles. Zbl 1375.60017
Claeys, Tom; Doeraene, Antoine |
|
2016
|
Toeplitz determinants with merging singularities. Zbl 1333.15018
Claeys, T.; Krasovsky, I. |
|
2015
|
Asymptotics for the partition function in two-cut random matrix models. Zbl 1330.15039
Claeys, T.; Grava, T.; McLaughlin, K. D. T.-R. |
|
2015
|
Asymptotics for Toeplitz determinants: perturbation of symbols with a gap. Zbl 1310.15051
Charlier, Christophe; Claeys, Tom |
|
2015
|
Biorthogonal ensembles with two-particle interactions. Zbl 1314.60024
Claeys, Tom; Romano, Stefano |
|
2014
|
Correlation kernels for sums and products of random matrices. Zbl 1330.15040
Claeys, Tom; Kuijlaars, Arno B. J.; Wang, Dong |
|
2014
|
Random matrices with equispaced external source. Zbl 1291.15085
Claeys, Tom; Wang, Dong |
|
2014
|
Critical asymptotic behavior for the Korteweg-de Vries equation and in random matrix theory. Zbl 1328.37052
Claeys, Tom; Grava, Tamara |
|
2014
|
On sequences of rational interpolants of the exponential function with unbounded interpolation points. Zbl 1283.30068
Claeys, T.; Wielonsky, F. |
|
2013
|
The KdV hierarchy: universality and a Painlevé transcendent. Zbl 1256.35117
Grava, T.; Claeys, T. |
|
2012
|
Pole-free solutions of the first Painlevé hierarchy and non-generic critical behavior for the KdV equation. Zbl 1257.35161
Claeys, Tom |
|
2012
|
Numerical study of higher order analogues of the Tracy-Widom distribution. Zbl 1318.35062
Claeys, T.; Olver, S. |
|
2012
|
The Riemann-Hilbert approach to obtain critical asymptotics for Hamiltonian perturbations of hyperbolic and elliptic systems. Zbl 1244.35100
Claeys, Tom |
|
2012
|
Emergence of a singularity for Toeplitz determinants and Painlevé V. Zbl 1298.47039
Claeys, T.; Its, A.; Krasovsky, I. |
|
2011
|
Higher-order analogues of the Tracy-Widom distribution and the Painlevé II hierarchy. Zbl 1198.34191
Claeys, Tom; Krasovsky, Igor; Its, Alexander |
|
2010
|
Solitonic asymptotics for the Korteweg-de Vries equation in the small dispersion limit. Zbl 1217.35159
Claeys, Tom; Grava, Tamara |
|
2010
|
Painlevé II asymptotics near the leading edge of the oscillatory zone for the Korteweg-de Vries equation in the small-dispersion limit. Zbl 1184.35274
Claeys, Tom; Grava, Tamara |
|
2010
|
Asymptotics for a special solution to the second member of the Painlevé I hierarchy. Zbl 1206.33022
Claeys, T. |
|
2010
|
Universality of the break-up profile for the KdV equation in the small dispersion limit using the Riemann-Hilbert approach. Zbl 1173.35654
Claeys, T.; Grava, T. |
|
2009
|
Multi-critical unitary random matrix ensembles and the general Painlevé II equation. Zbl 1179.15037
Claeys, Tom; Kuijlaars, Arno B. J.; Vanlessen, Maarten |
|
2008
|
Universality in unitary random matrix ensembles when the soft edge meets the hard edge. Zbl 1147.15303
Claeys, Tom; Kuijlaars, Arno B. J. |
|
2008
|
Birth of a cut in unitary random matrix ensembles. Zbl 1141.82304
Claeys, Tom |
|
2008
|
Universality of a double scaling limit near singular edge points in random matrix models. Zbl 1136.82023
Claeys, T.; Vanlessen, M. |
|
2007
|
The existence of a real pole-free solution of the fourth order analogue of the Painlevé I equation. Zbl 1175.33016
Claeys, T.; Vanlessen, M. |
|
2007
|
Universality of the double scaling limit in random matrix models. Zbl 1111.35031
Claeys, Tom; Kuijlaars, Arno B. J. |
|
2006
|