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van Moerbeke, Pierre

Author ID: van-moerbeke.pierre Recent zbMATH articles by "van Moerbeke, Pierre"
Published as: van Moerbeke, Pierre; van Moerbeke, P.; Van Moerbeke, Pierre; Van Moerbeke, P.
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Publications by Year

Citations contained in zbMATH Open

93 Publications have been cited 2,469 times in 1,578 Documents Cited by Year
The spectrum of Hill’s equation. Zbl 0319.34024
McKean, H. P.; van Moerbeke, P.
235
1975
Completely integrable systems, Euclidean Lie algebras, and curves. Zbl 0455.58017
Adler, M.; Van Moerbeke, P.
151
1980
On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices. Zbl 0306.34001
Kac, M.; van Moerbeke, Pierre
148
1975
The spectrum of Jacobi matrices. Zbl 0361.15010
van Moerbeke, Pierre
102
1976
On optimal stopping and free boundary problems. Zbl 0336.35047
Van Moerbeke, Pierre
101
1976
The spectrum of difference operators and algebraic curves. Zbl 0502.58032
van Moerbeke, Pierre; Mumford, David
93
1979
Linearization of Hamiltonian systems, Jacobi varieties and representation theory. Zbl 0455.58010
Adler, Mark; van Moerbeke, Pierre
78
1980
Algebraic integrability, Painlevé geometry and Lie algebras. Zbl 1083.37001
Adler, Mark; van Moerbeke, Pierre; Vanhaecke, Pol
74
2004
A matrix integral solution to two-dimensional \(W_ p\)-gravity. Zbl 0756.35074
Adler, M.; Van Moerbeke, P.
69
1992
Classical skew orthogonal polynomials and random matrices. Zbl 0989.82020
Adler, M.; Forrester, P. J.; Nagao, T.; van Moerbeke, P.
54
2000
A Lax representation for the vertex operator and the central extension. Zbl 0839.35116
Adler, M.; Shiota, T.; van Moerbeke, P.
53
1995
PDEs for the joint distributions of the Dyson, Airy and Sine processes. Zbl 1093.60021
Adler, Mark; van Moerbeke, Pierre
50
2005
Kowalewski’s asymptotic method, Kac-Moody Lie algebras and regularization. Zbl 0491.58017
Adler, M.; van Moerbeke, P.
47
1982
Matrix integrals, Toda symmetries, Virasoro constraints, and orthogonal polynomials. Zbl 0848.17027
Adler, M.; van Moerbeke, P.
46
1995
On some periodic Toda lattices. Zbl 0343.34003
Kac, M.; van Moerbeke, Pierre
43
1975
A complete solution of the periodic Toda problem. Zbl 0343.34004
Kac, M.; van Moerbeke, Pierre
43
1975
The spectrum of coupled random matrices. Zbl 0936.15018
Adler, M.; van Moerbeke, P.
42
1999
The complex geometry of the Kowalewski-Painlevé analysis. Zbl 0678.58020
Adler, Mark; van Moerbeke, Pierre
41
1989
Integrals over classical groups, random permutations, Toda and Toeplitz lattices. Zbl 1086.34545
Adler, Mark; van Moerbeke, Pierre
39
2001
Hermitian, symmetric and symplectic random ensembles: PDEs for the distribution of the spectrum. Zbl 1033.82005
Adler, M.; van Moerbeke, P.
38
2001
Vertex operator solutions to the discrete KP-hierarchy. Zbl 0934.35149
Adler, M.; van Moerbeke, P.
38
1999
The algebraic integrability of geodesic flow on SO(4). Zbl 0539.58012
Adler, M.; van Moerbeke, P.
37
1982
Generalized orthogonal polynomials, discrete KP and Riemann-Hilbert problems. Zbl 1063.37057
Adler, M.; van Moerbeke, P.
34
1999
Moment matrices and multi-component KP, with applications to random matrix theory. Zbl 1185.42026
Adler, Mark; van Moerbeke, Pierre; Vanhaecke, Pol
33
2009
The Pfaff lattice and skew-orthogonal polynomials. Zbl 0931.35166
Adler, M.; Horozov, E.; van Moerbeke, P.
31
1999
Birkhoff strata, Bäcklund transformations, and regularization of isospectral operators. Zbl 0814.35114
Adler, Mark; van Moerbeke, Pierre
27
1994
PDEs for the Gaussian ensemble with external source and the Pearcey distribution. Zbl 1193.82012
Adler, Mark; van Moerbeke, Pierre
26
2007
Dyson’s nonintersecting Brownian motions with a few outliers. Zbl 1166.60048
Adler, Mark; Delépine, Jonathan; Van Moerbeke, Pierre
26
2009
Double Aztec diamonds and the tacnode process. Zbl 1335.60177
Adler, Mark; Johansson, Kurt; van Moerbeke, Pierre
26
2014
Darboux transforms on band matrices, weights, and associated polynomials. Zbl 0998.37024
Adler, Mark; van Moerbeke, Pierre
26
2001
Recursion relations for unitary integrals, combinatorics and the Toeplitz lattice. Zbl 1090.37051
Adler, M.; van Moerbeke, P.
25
2003
Toda versus Pfaff lattice and related polynomials. Zbl 1067.37111
Adler, M.; van Moerbeke, P.
24
2002
String-orthogonal polynomials, string equations, and 2-Toda symmetries. Zbl 0880.58012
Adler, Mark; Van Moerbeke, Pierre
23
1997
Group factorization, moment matrices, and Toda lattices. Zbl 0893.58030
Adler, M.; van Moerbeke, P.
22
1997
Universality for the Pearcey process. Zbl 1189.82085
Adler, Mark; Orantin, Nicolas; van Moerbeke, Pierre
22
2010
Nonintersecting random walks in the neighborhood of a symmetric tacnode. Zbl 1279.60062
Adler, Mark; Ferrari, Patrik L.; van Moerbeke, Pierre
22
2013
The Kowalewski and Hénon-Heiles motions as Manakov geodesic flows on SO(4) - a two-dimensional family of Lax pairs. Zbl 0647.58022
Adler, Mark; van Moerbeke, Pierre
22
1987
Integrable foundations of string theory. (Abstract). Zbl 0850.81049
van Moerbeke, P.
21
1993
Pfaff \(\tau\)-functions. Zbl 1047.37045
Adler, M.; Shiota, T.; van Moerbeke, P.
21
2002
Random matrix minor processes related to percolation theory. Zbl 1298.60014
Adler, Mark; van Moerbeke, Pierre; Wang, Dong
20
2013
Airy processes with wanderers and new universality classes. Zbl 1200.60069
Adler, Mark; Ferrari, Patrik L.; van Moerbeke, Pierre
20
2010
The Lagrange rigid body motion. Zbl 0466.58020
Ratiu, Tudor; van Moerbeke, P.
17
1982
The full geometry of Kowalewski’s top and (1,2)-Abelian surfaces. Zbl 0689.58020
Horozov, Emil; Van Moerbeke, Pierre
17
1989
From the \(w_\infty\)-algebra to its central extension: a \(\tau\)-function approach. Zbl 0925.58031
Adler, M.; Shiota, T.; van Moerbeke, P.
17
1994
Geodesic flow on \(\text{SO}(4)\) and the intersection of quadrics. Zbl 0545.58027
Adler, Mark; van Moerbeke, Pierre
17
1984
The Toda lattice, Dynkin diagrams, singularities and Abelian varieties. Zbl 0735.14031
Adler, Mark; van Moerbeke, Pierre
16
1991
The solution to the \(q\)-KdV equation. Zbl 0944.37035
Adler, M.; Horozov, E.; van Moerbeke, P.
15
1998
Limit matrices for the Toda flow and periodic flags for loop groups. Zbl 0788.58028
Adler, M.; Haine, L.; van Moerbeke, P.
14
1993
An optimal stopping problem with linear reward. Zbl 0297.60027
van Moerbeke, Pierre
14
1974
Optimal stopping and free boundary problems. Zbl 0323.60051
van Moerbeke, Pierre
14
1974
Integrable lattices: Random matrices and random permutations. Zbl 0987.15014
van Moerbeke, Pierre
14
2001
From the \(w_\infty\)-algebra to its central extension: A \(\tau\)-function approach. Zbl 0961.37514
Adler, M.; Shiota, T.; van Moerbeke, P.
13
1994
From the Pearcey to the Airy process. Zbl 1231.60107
Adler, Mark; Cafasso, Mattia; van Moerbeke, Pierre
13
2011
Hill and Toda curves. Zbl 0422.14017
McKean, H. P.; van Moerbeke, P.
12
1980
Random matrices, Virasoro algebras, and noncommutative KP. Zbl 1061.37047
Adler, M.; Shiota, T.; van Moerbeke, P.
10
1998
Consecutive minors for Dyson’s Brownian motions. Zbl 1308.60013
Adler, Mark; Nordenstam, Eric; van Moerbeke, Pierre
10
2014
Tacnode GUE-minor processes and double Aztec diamonds. Zbl 1321.60103
Adler, Mark; Chhita, Sunil; Johansson, Kurt; van Moerbeke, Pierre
9
2015
Random and integrable models in mathematics and physics. Zbl 1252.15043
van Moerbeke, Pierre
8
2011
Integrals over Grassmannians and random permutations. Zbl 1036.60029
Adler, M.; van Moerbeke, P.
8
2004
Non-linear PDEs for gap probabilities in random matrices and KP theory. Zbl 1270.35205
Adler, M.; Cafasso, M.; Van Moerbeke, P.
8
2012
Random matrices, vertex operators and the Virasoro algebra. Zbl 1020.82577
Adler, M.; Shiota, T.; van Moerbeke, P.
7
1995
Virasoro action on Schur function expansions, skew Young tableaux, and random walks. Zbl 1157.05337
Adler, M.; van Moerbeke, P.
7
2005
The Goryachev-Chaplygin top and the Toda lattice. Zbl 0638.58010
Bechlivanidis, C.; van Moerbeke, P.
7
1987
About isospectral deformations of discrete Laplacians. Zbl 0464.58019
van Moerbeke, Pierre
6
1979
Tilings of non-convex polygons, skew-Young tableaux and determinantal processes. Zbl 1401.60016
Adler, Mark; Johansson, Kurt; van Moerbeke, Pierre
6
2018
The Dyson Brownian minor process. (Le Processus Brownien des mineurs de Dyson.) Zbl 1318.60008
Adler, Mark; Nordenstam, Eric; van Moerbeke, Pierre
6
2014
Random matrices, vertex operators and the Virasoro algebra. Zbl 0925.58032
Adler, M.; Shiota, T.; van Moerbeke, P.
6
1995
Non-intersecting Brownian motions leaving from and going to several points. Zbl 1245.60074
Adler, Mark; van Moerbeke, Pierre; Vanderstichelen, Didier
6
2012
The intersection of four quadrics in \(P^ 6\), Abelian surfaces and their moduli. Zbl 0607.14030
Adler, Mark; van Moerbeke, Pierre
6
1987
Compatible Poisson structures and the Virasoro algebra. Zbl 0801.58014
Adler, Mark; Van Moerbeke, Pierre
6
1994
Coupled GUE-minor processes and domino tilings. Zbl 1384.60020
Adler, Mark; van Moerbeke, Pierre
6
2015
Algebraic geometrical methods in Hamiltonian mechanics. Zbl 0576.70015
van Moerbeke, P.
5
1985
A new geodesic flow on SO(4). Zbl 0657.58029
Adler, Mark; van Moerbeke, Pierre
5
1986
Algebraic complete integrability of Hamiltonian systems and Kac-Moody Lie algebras. Zbl 0566.58019
van Moerbeke, Pierre
5
1984
On some isospectral second order differential operators. Zbl 0294.34012
Kac, Mark; van Moerbeke, Pierre
4
1974
Toda-Darboux maps and vertex operators. Zbl 0926.58022
Adler, M.; van Moerbeke, P.
4
1998
A PDE for non-intersecting Brownian motions and applications. Zbl 1210.60090
Adler, Mark; Delépine, Jonathan; van Moerbeke, Pierre; Vanhaecke, Pol
4
2011
Probability distributions related to tilings of non-convex polygons. Zbl 1400.52018
Adler, Mark; van Moerbeke, Pierre
4
2018
Lozenge tilings of hexagons with cuts and asymptotic fluctuations: a new universality class. Zbl 1394.60050
Adler, Mark; Johansson, Kurt; van Moerbeke, Pierre
4
2018
Nonlinear PDEs for Fredholm determinants arising from string equations. Zbl 1288.35414
Adler, Mark; Cafasso, Mattia; van Moerbeke, Pierre
3
2013
Some probabilistic aspects of scattering theory. Zbl 0318.34033
Kac, M.; van Moerbeke, P.
3
1975
A matrix integral solution to \([P,Q]=P\) and matrix Laplace transforms. Zbl 0858.35109
Adler, M.; Morozov, A.; Shiota, T.; van Moerbeke, P.
3
1996
Rational solutions to the Pfaff lattice and Jack polynomials. Zbl 1021.37034
Adler, M.; Kuznetsov, V. B.; van Moerbeke, P.
3
2002
Introduction to algebraic integrable systems and their Painlevé analysis. Zbl 0688.70012
van Moerbeke, Pierre
2
1989
Singularity confinement for a class of \(m\)-th order difference equations of combinatorics. Zbl 1153.39300
Adler, Mark; van Moerbeke, Pierre; Vanhaecke, Pol
2
2008
Double interlacing in random tiling models. Zbl 1511.60141
Adler, Mark; van Moerbeke, Pierre
2
2023
A singular Toeplitz determinant and the discrete tacnode kernel for skew-Aztec rectangles. Zbl 1492.60026
Adler, Mark; Johansson, Kurt; van Moerbeke, Pierre
2
2022
New matrix model solutions to the Kac-Schwarz problem. Zbl 0957.37515
Adler, M.; Morozov, A.; Shiota, T.; van Moerbeke, P.
1
1996
\(W\)-algebras and nonlinear equations. (Algèbres \(W\) et équations nonlinéaires.) Zbl 1029.81035
Van Moerbeke, Pierre
1
1998
Random matrices and permutations, matrix integrals and integrable systems. Zbl 0995.15019
van Moerbeke, Pierre
1
2002
Linearizing completely integrable systems on complex algebraic tori. Zbl 0659.70013
van Moerbeke, P.
1
1987
An interpolation between Airy and Pearcey processes. Zbl 1158.60016
Adler, Mark; van Moerbeke, Pierre
1
2008
The AKS theorem, A.C.I. systems and random matrix theory. Zbl 1415.37084
Adler, Mark; van Moerbeke, Pierre
1
2018
Double interlacing in random tiling models. Zbl 1511.60141
Adler, Mark; van Moerbeke, Pierre
2
2023
A singular Toeplitz determinant and the discrete tacnode kernel for skew-Aztec rectangles. Zbl 1492.60026
Adler, Mark; Johansson, Kurt; van Moerbeke, Pierre
2
2022
Tilings of non-convex polygons, skew-Young tableaux and determinantal processes. Zbl 1401.60016
Adler, Mark; Johansson, Kurt; van Moerbeke, Pierre
6
2018
Probability distributions related to tilings of non-convex polygons. Zbl 1400.52018
Adler, Mark; van Moerbeke, Pierre
4
2018
Lozenge tilings of hexagons with cuts and asymptotic fluctuations: a new universality class. Zbl 1394.60050
Adler, Mark; Johansson, Kurt; van Moerbeke, Pierre
4
2018
The AKS theorem, A.C.I. systems and random matrix theory. Zbl 1415.37084
Adler, Mark; van Moerbeke, Pierre
1
2018
Tacnode GUE-minor processes and double Aztec diamonds. Zbl 1321.60103
Adler, Mark; Chhita, Sunil; Johansson, Kurt; van Moerbeke, Pierre
9
2015
Coupled GUE-minor processes and domino tilings. Zbl 1384.60020
Adler, Mark; van Moerbeke, Pierre
6
2015
Double Aztec diamonds and the tacnode process. Zbl 1335.60177
Adler, Mark; Johansson, Kurt; van Moerbeke, Pierre
26
2014
Consecutive minors for Dyson’s Brownian motions. Zbl 1308.60013
Adler, Mark; Nordenstam, Eric; van Moerbeke, Pierre
10
2014
The Dyson Brownian minor process. (Le Processus Brownien des mineurs de Dyson.) Zbl 1318.60008
Adler, Mark; Nordenstam, Eric; van Moerbeke, Pierre
6
2014
Nonintersecting random walks in the neighborhood of a symmetric tacnode. Zbl 1279.60062
Adler, Mark; Ferrari, Patrik L.; van Moerbeke, Pierre
22
2013
Random matrix minor processes related to percolation theory. Zbl 1298.60014
Adler, Mark; van Moerbeke, Pierre; Wang, Dong
20
2013
Nonlinear PDEs for Fredholm determinants arising from string equations. Zbl 1288.35414
Adler, Mark; Cafasso, Mattia; van Moerbeke, Pierre
3
2013
Non-linear PDEs for gap probabilities in random matrices and KP theory. Zbl 1270.35205
Adler, M.; Cafasso, M.; Van Moerbeke, P.
8
2012
Non-intersecting Brownian motions leaving from and going to several points. Zbl 1245.60074
Adler, Mark; van Moerbeke, Pierre; Vanderstichelen, Didier
6
2012
From the Pearcey to the Airy process. Zbl 1231.60107
Adler, Mark; Cafasso, Mattia; van Moerbeke, Pierre
13
2011
Random and integrable models in mathematics and physics. Zbl 1252.15043
van Moerbeke, Pierre
8
2011
A PDE for non-intersecting Brownian motions and applications. Zbl 1210.60090
Adler, Mark; Delépine, Jonathan; van Moerbeke, Pierre; Vanhaecke, Pol
4
2011
Universality for the Pearcey process. Zbl 1189.82085
Adler, Mark; Orantin, Nicolas; van Moerbeke, Pierre
22
2010
Airy processes with wanderers and new universality classes. Zbl 1200.60069
Adler, Mark; Ferrari, Patrik L.; van Moerbeke, Pierre
20
2010
Moment matrices and multi-component KP, with applications to random matrix theory. Zbl 1185.42026
Adler, Mark; van Moerbeke, Pierre; Vanhaecke, Pol
33
2009
Dyson’s nonintersecting Brownian motions with a few outliers. Zbl 1166.60048
Adler, Mark; Delépine, Jonathan; Van Moerbeke, Pierre
26
2009
Singularity confinement for a class of \(m\)-th order difference equations of combinatorics. Zbl 1153.39300
Adler, Mark; van Moerbeke, Pierre; Vanhaecke, Pol
2
2008
An interpolation between Airy and Pearcey processes. Zbl 1158.60016
Adler, Mark; van Moerbeke, Pierre
1
2008
PDEs for the Gaussian ensemble with external source and the Pearcey distribution. Zbl 1193.82012
Adler, Mark; van Moerbeke, Pierre
26
2007
PDEs for the joint distributions of the Dyson, Airy and Sine processes. Zbl 1093.60021
Adler, Mark; van Moerbeke, Pierre
50
2005
Virasoro action on Schur function expansions, skew Young tableaux, and random walks. Zbl 1157.05337
Adler, M.; van Moerbeke, P.
7
2005
Algebraic integrability, Painlevé geometry and Lie algebras. Zbl 1083.37001
Adler, Mark; van Moerbeke, Pierre; Vanhaecke, Pol
74
2004
Integrals over Grassmannians and random permutations. Zbl 1036.60029
Adler, M.; van Moerbeke, P.
8
2004
Recursion relations for unitary integrals, combinatorics and the Toeplitz lattice. Zbl 1090.37051
Adler, M.; van Moerbeke, P.
25
2003
Toda versus Pfaff lattice and related polynomials. Zbl 1067.37111
Adler, M.; van Moerbeke, P.
24
2002
Pfaff \(\tau\)-functions. Zbl 1047.37045
Adler, M.; Shiota, T.; van Moerbeke, P.
21
2002
Rational solutions to the Pfaff lattice and Jack polynomials. Zbl 1021.37034
Adler, M.; Kuznetsov, V. B.; van Moerbeke, P.
3
2002
Random matrices and permutations, matrix integrals and integrable systems. Zbl 0995.15019
van Moerbeke, Pierre
1
2002
Integrals over classical groups, random permutations, Toda and Toeplitz lattices. Zbl 1086.34545
Adler, Mark; van Moerbeke, Pierre
39
2001
Hermitian, symmetric and symplectic random ensembles: PDEs for the distribution of the spectrum. Zbl 1033.82005
Adler, M.; van Moerbeke, P.
38
2001
Darboux transforms on band matrices, weights, and associated polynomials. Zbl 0998.37024
Adler, Mark; van Moerbeke, Pierre
26
2001
Integrable lattices: Random matrices and random permutations. Zbl 0987.15014
van Moerbeke, Pierre
14
2001
Classical skew orthogonal polynomials and random matrices. Zbl 0989.82020
Adler, M.; Forrester, P. J.; Nagao, T.; van Moerbeke, P.
54
2000
The spectrum of coupled random matrices. Zbl 0936.15018
Adler, M.; van Moerbeke, P.
42
1999
Vertex operator solutions to the discrete KP-hierarchy. Zbl 0934.35149
Adler, M.; van Moerbeke, P.
38
1999
Generalized orthogonal polynomials, discrete KP and Riemann-Hilbert problems. Zbl 1063.37057
Adler, M.; van Moerbeke, P.
34
1999
The Pfaff lattice and skew-orthogonal polynomials. Zbl 0931.35166
Adler, M.; Horozov, E.; van Moerbeke, P.
31
1999
The solution to the \(q\)-KdV equation. Zbl 0944.37035
Adler, M.; Horozov, E.; van Moerbeke, P.
15
1998
Random matrices, Virasoro algebras, and noncommutative KP. Zbl 1061.37047
Adler, M.; Shiota, T.; van Moerbeke, P.
10
1998
Toda-Darboux maps and vertex operators. Zbl 0926.58022
Adler, M.; van Moerbeke, P.
4
1998
\(W\)-algebras and nonlinear equations. (Algèbres \(W\) et équations nonlinéaires.) Zbl 1029.81035
Van Moerbeke, Pierre
1
1998
String-orthogonal polynomials, string equations, and 2-Toda symmetries. Zbl 0880.58012
Adler, Mark; Van Moerbeke, Pierre
23
1997
Group factorization, moment matrices, and Toda lattices. Zbl 0893.58030
Adler, M.; van Moerbeke, P.
22
1997
A matrix integral solution to \([P,Q]=P\) and matrix Laplace transforms. Zbl 0858.35109
Adler, M.; Morozov, A.; Shiota, T.; van Moerbeke, P.
3
1996
New matrix model solutions to the Kac-Schwarz problem. Zbl 0957.37515
Adler, M.; Morozov, A.; Shiota, T.; van Moerbeke, P.
1
1996
A Lax representation for the vertex operator and the central extension. Zbl 0839.35116
Adler, M.; Shiota, T.; van Moerbeke, P.
53
1995
Matrix integrals, Toda symmetries, Virasoro constraints, and orthogonal polynomials. Zbl 0848.17027
Adler, M.; van Moerbeke, P.
46
1995
Random matrices, vertex operators and the Virasoro algebra. Zbl 1020.82577
Adler, M.; Shiota, T.; van Moerbeke, P.
7
1995
Random matrices, vertex operators and the Virasoro algebra. Zbl 0925.58032
Adler, M.; Shiota, T.; van Moerbeke, P.
6
1995
Birkhoff strata, Bäcklund transformations, and regularization of isospectral operators. Zbl 0814.35114
Adler, Mark; van Moerbeke, Pierre
27
1994
From the \(w_\infty\)-algebra to its central extension: a \(\tau\)-function approach. Zbl 0925.58031
Adler, M.; Shiota, T.; van Moerbeke, P.
17
1994
From the \(w_\infty\)-algebra to its central extension: A \(\tau\)-function approach. Zbl 0961.37514
Adler, M.; Shiota, T.; van Moerbeke, P.
13
1994
Compatible Poisson structures and the Virasoro algebra. Zbl 0801.58014
Adler, Mark; Van Moerbeke, Pierre
6
1994
Integrable foundations of string theory. (Abstract). Zbl 0850.81049
van Moerbeke, P.
21
1993
Limit matrices for the Toda flow and periodic flags for loop groups. Zbl 0788.58028
Adler, M.; Haine, L.; van Moerbeke, P.
14
1993
A matrix integral solution to two-dimensional \(W_ p\)-gravity. Zbl 0756.35074
Adler, M.; Van Moerbeke, P.
69
1992
The Toda lattice, Dynkin diagrams, singularities and Abelian varieties. Zbl 0735.14031
Adler, Mark; van Moerbeke, Pierre
16
1991
The complex geometry of the Kowalewski-Painlevé analysis. Zbl 0678.58020
Adler, Mark; van Moerbeke, Pierre
41
1989
The full geometry of Kowalewski’s top and (1,2)-Abelian surfaces. Zbl 0689.58020
Horozov, Emil; Van Moerbeke, Pierre
17
1989
Introduction to algebraic integrable systems and their Painlevé analysis. Zbl 0688.70012
van Moerbeke, Pierre
2
1989
The Kowalewski and Hénon-Heiles motions as Manakov geodesic flows on SO(4) - a two-dimensional family of Lax pairs. Zbl 0647.58022
Adler, Mark; van Moerbeke, Pierre
22
1987
The Goryachev-Chaplygin top and the Toda lattice. Zbl 0638.58010
Bechlivanidis, C.; van Moerbeke, P.
7
1987
The intersection of four quadrics in \(P^ 6\), Abelian surfaces and their moduli. Zbl 0607.14030
Adler, Mark; van Moerbeke, Pierre
6
1987
Linearizing completely integrable systems on complex algebraic tori. Zbl 0659.70013
van Moerbeke, P.
1
1987
A new geodesic flow on SO(4). Zbl 0657.58029
Adler, Mark; van Moerbeke, Pierre
5
1986
Algebraic geometrical methods in Hamiltonian mechanics. Zbl 0576.70015
van Moerbeke, P.
5
1985
Geodesic flow on \(\text{SO}(4)\) and the intersection of quadrics. Zbl 0545.58027
Adler, Mark; van Moerbeke, Pierre
17
1984
Algebraic complete integrability of Hamiltonian systems and Kac-Moody Lie algebras. Zbl 0566.58019
van Moerbeke, Pierre
5
1984
Kowalewski’s asymptotic method, Kac-Moody Lie algebras and regularization. Zbl 0491.58017
Adler, M.; van Moerbeke, P.
47
1982
The algebraic integrability of geodesic flow on SO(4). Zbl 0539.58012
Adler, M.; van Moerbeke, P.
37
1982
The Lagrange rigid body motion. Zbl 0466.58020
Ratiu, Tudor; van Moerbeke, P.
17
1982
Completely integrable systems, Euclidean Lie algebras, and curves. Zbl 0455.58017
Adler, M.; Van Moerbeke, P.
151
1980
Linearization of Hamiltonian systems, Jacobi varieties and representation theory. Zbl 0455.58010
Adler, Mark; van Moerbeke, Pierre
78
1980
Hill and Toda curves. Zbl 0422.14017
McKean, H. P.; van Moerbeke, P.
12
1980
The spectrum of difference operators and algebraic curves. Zbl 0502.58032
van Moerbeke, Pierre; Mumford, David
93
1979
About isospectral deformations of discrete Laplacians. Zbl 0464.58019
van Moerbeke, Pierre
6
1979
The spectrum of Jacobi matrices. Zbl 0361.15010
van Moerbeke, Pierre
102
1976
On optimal stopping and free boundary problems. Zbl 0336.35047
Van Moerbeke, Pierre
101
1976
The spectrum of Hill’s equation. Zbl 0319.34024
McKean, H. P.; van Moerbeke, P.
235
1975
On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices. Zbl 0306.34001
Kac, M.; van Moerbeke, Pierre
148
1975
On some periodic Toda lattices. Zbl 0343.34003
Kac, M.; van Moerbeke, Pierre
43
1975
A complete solution of the periodic Toda problem. Zbl 0343.34004
Kac, M.; van Moerbeke, Pierre
43
1975
Some probabilistic aspects of scattering theory. Zbl 0318.34033
Kac, M.; van Moerbeke, P.
3
1975
An optimal stopping problem with linear reward. Zbl 0297.60027
van Moerbeke, Pierre
14
1974
Optimal stopping and free boundary problems. Zbl 0323.60051
van Moerbeke, Pierre
14
1974
On some isospectral second order differential operators. Zbl 0294.34012
Kac, Mark; van Moerbeke, Pierre
4
1974
all top 5

Cited by 1,483 Authors

51 van Moerbeke, Pierre
47 Adler, Mark
26 Cheng, Jipeng
26 Li, Chuanzhong
25 Forrester, Peter J.
22 He, Jingsong
21 Mañas, Manuel
20 Simon, Barry
20 Vanhaecke, Pol
17 Li, Shihao
16 Lesfari, Ahmed
15 Gesztesy, Fritz
15 Hu, Xingbiao
14 Damianou, Pantelis Andrea
13 Bertola, Marco
13 Harnad, John
13 Helminck, Gerardus Franciscus
13 Kuijlaars, Arno B. J.
13 Yang, Di
12 Chang, Xiangke
12 van de Leur, Johan W.
11 Bloch, Anthony Michael
11 Chen, Yang
11 Takasaki, Kanehisa
11 Wang, Dong
10 Borodin, Alexei
10 Cafasso, Mattia
10 Ferrari, Patrik Lino
10 Korotyaev, Evgeny L.
9 Delvaux, Steven
9 Hurtubise, Jacques C.
9 Johansson, Kurt
9 Ratiu, Tudor Stefan
9 Zhang, Lun
8 Dragović, Vladimir
8 Fokas, Athanassios S.
8 Geng, Xianguo
8 Khorozov, Emil Ivanov
8 Iliev, Plamen
8 Li, Luen-Chau
8 McKean, Henry P. jun.
7 Ablowitz, Mark Jay
7 Ariznabarreta, Gerardo
7 Branquinho, Amílcar José Pinto Lopes
7 Carroll, Robert Wayne
7 Duits, Maurice
7 Fan, Engui
7 Fedorov, Yuri N.
7 Guha, Partha
7 Haine, Luc
7 Its, Alexander Rudolfovich
7 Johnson, Russell Allan
7 Kappeler, Thomas
7 Kodama, Yuji
7 Marcellán Español, Francisco
7 Orlov, Aleksandr Yu.
7 Sakhnovich, Alexander L.
7 Shiota, Takahiro
7 Tian, Kelei
7 Witte, Nicholas S.
6 Alexandrov, Alexander Sergeevich
6 Bebiano, Natália Isabel Quadros
6 Charlier, Christophe
6 Chen, Jinbing
6 Chen, Xiaomin
6 Claeys, Tom
6 Corwin, Ivan Z.
6 Dubrovin, Boris Anatol’evich
6 Ercolani, Nicholas M.
6 Evripidou, Charalampos A.
6 Flaschka, Hermann
6 Grava, Tamara
6 Inoue, Rei
6 Khanmamedov, Agil Khanmamed ogly
6 Konopelchenko, Boris Georgievich
6 Martínez Alonso, Luis
6 Nijhoff, Frank W.
6 Tierz, Miguel
6 Tracy, Craig Arnold
6 Yu, Guofu
6 Zhang, Hongqing
5 Adams, Malcolm R.
5 Blower, Gordon
5 Bogoyavlenskij, Oleg Igorevich
5 Byun, Sung-Soo
5 Clarkson, Peter A.
5 Dobrogowska, Alina
5 Enolskiĭ, Viktor Zelikovich
5 Eynard, Bertrand
5 Foulquié Moreno, Ana Pilar
5 Gajić, Borislav
5 Geng, Lumin
5 Hammond, Alan
5 Helminck, Aloysius G.
5 Kac, Victor
5 Li, Maohua
5 Liechty, Karl
5 Ma, Wen-Xiu
5 McDaniel, Andrew
5 Min, Chao
...and 1,383 more Authors
all top 5

Cited in 272 Serials

123 Journal of Mathematical Physics
115 Communications in Mathematical Physics
58 Physica D
54 Journal of Geometry and Physics
37 Letters in Mathematical Physics
35 Advances in Mathematics
33 Journal of Physics A: Mathematical and Theoretical
32 Journal of Statistical Physics
31 Journal of Nonlinear Mathematical Physics
29 Theoretical and Mathematical Physics
27 Nuclear Physics. B
27 Physics Letters. A
26 Journal of Mathematical Analysis and Applications
24 Regular and Chaotic Dynamics
23 Studies in Applied Mathematics
22 Transactions of the American Mathematical Society
21 Annales de l’Institut Fourier
21 Duke Mathematical Journal
21 Journal of Approximation Theory
19 Communications on Pure and Applied Mathematics
19 Journal of Computational and Applied Mathematics
19 Random Matrices: Theory and Applications
18 Acta Applicandae Mathematicae
16 Inventiones Mathematicae
14 The Annals of Probability
14 Journal of Differential Equations
13 Functional Analysis and its Applications
13 Mathematische Annalen
11 Nonlinearity
11 Chaos, Solitons and Fractals
11 Journal of Functional Analysis
11 Constructive Approximation
11 Mathematical Finance
10 Reviews in Mathematical Physics
10 Proceedings of the American Mathematical Society
10 Probability Theory and Related Fields
10 Linear Algebra and its Applications
10 Bulletin of the American Mathematical Society. New Series
10 Journal of High Energy Physics
9 Mathematical Notes
9 Reports on Mathematical Physics
9 Compositio Mathematica
9 Journal of Economic Dynamics & Control
9 Stochastic Processes and their Applications
9 Journal of Mathematical Sciences (New York)
8 The Annals of Applied Probability
8 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
8 Bulletin des Sciences Mathématiques
8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
7 Acta Mathematica
7 Applied Mathematics and Optimization
7 Journal of Soviet Mathematics
7 Mathematische Zeitschrift
7 Journal of Nonlinear Science
7 Russian Journal of Mathematical Physics
7 Mathematical Physics, Analysis and Geometry
7 Analysis and Mathematical Physics
6 Applicable Analysis
6 Mathematical Methods in the Applied Sciences
6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
6 Annals of Physics
5 International Journal of Modern Physics A
5 Journal d’Analyse Mathématique
5 Applied Mathematics Letters
5 Communications in Nonlinear Science and Numerical Simulation
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Stochastics
5 Advances in Mathematical Physics
4 Journal of Computational Physics
4 Ukrainian Mathematical Journal
4 Applied Mathematics and Computation
4 Integral Equations and Operator Theory
4 Publications of the Research Institute for Mathematical Sciences, Kyoto University
4 Chinese Annals of Mathematics. Series B
4 Differential Geometry and its Applications
4 Discrete and Continuous Dynamical Systems
4 Doklady Mathematics
4 Acta Mathematica Sinica. English Series
4 International Journal of Geometric Methods in Modern Physics
3 Advances in Applied Probability
3 Archive for Rational Mechanics and Analysis
3 Journal of Fluid Mechanics
3 Linear and Multilinear Algebra
3 Physics Letters. B
3 Mathematics of Computation
3 Memoirs of the American Mathematical Society
3 Nagoya Mathematical Journal
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Systems & Control Letters
3 Stochastic Analysis and Applications
3 Acta Mathematicae Applicatae Sinica. English Series
3 International Journal of Mathematics
3 Communications in Partial Differential Equations
3 SIAM Journal on Mathematical Analysis
3 Journal of Dynamics and Differential Equations
3 Computational and Applied Mathematics
3 Selecta Mathematica. New Series
3 Applied Mathematical Finance
3 Annals of Mathematics. Second Series
3 Physical Review Letters
...and 172 more Serials
all top 5

Cited in 60 Fields

725 Dynamical systems and ergodic theory (37-XX)
448 Partial differential equations (35-XX)
285 Probability theory and stochastic processes (60-XX)
192 Ordinary differential equations (34-XX)
182 Quantum theory (81-XX)
179 Algebraic geometry (14-XX)
178 Linear and multilinear algebra; matrix theory (15-XX)
146 Special functions (33-XX)
142 Statistical mechanics, structure of matter (82-XX)
132 Mechanics of particles and systems (70-XX)
119 Nonassociative rings and algebras (17-XX)
96 Operator theory (47-XX)
91 Difference and functional equations (39-XX)
84 Differential geometry (53-XX)
81 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
77 Harmonic analysis on Euclidean spaces (42-XX)
61 Numerical analysis (65-XX)
58 Global analysis, analysis on manifolds (58-XX)
45 Combinatorics (05-XX)
38 Functions of a complex variable (30-XX)
37 Topological groups, Lie groups (22-XX)
28 Statistics (62-XX)
27 Fluid mechanics (76-XX)
26 Approximations and expansions (41-XX)
24 Systems theory; control (93-XX)
23 Relativity and gravitational theory (83-XX)
18 Several complex variables and analytic spaces (32-XX)
18 Calculus of variations and optimal control; optimization (49-XX)
13 Number theory (11-XX)
13 Integral equations (45-XX)
11 Integral transforms, operational calculus (44-XX)
11 Convex and discrete geometry (52-XX)
10 Group theory and generalizations (20-XX)
10 Potential theory (31-XX)
9 Functional analysis (46-XX)
8 Associative rings and algebras (16-XX)
8 Manifolds and cell complexes (57-XX)
7 Real functions (26-XX)
7 Geometry (51-XX)
7 Operations research, mathematical programming (90-XX)
6 History and biography (01-XX)
6 Commutative algebra (13-XX)
6 Measure and integration (28-XX)
5 Field theory and polynomials (12-XX)
5 Algebraic topology (55-XX)
5 Computer science (68-XX)
5 Mechanics of deformable solids (74-XX)
4 Abstract harmonic analysis (43-XX)
4 Optics, electromagnetic theory (78-XX)
3 General and overarching topics; collections (00-XX)
3 Information and communication theory, circuits (94-XX)
2 Category theory; homological algebra (18-XX)
2 General topology (54-XX)
2 Biology and other natural sciences (92-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 General algebraic systems (08-XX)
1 \(K\)-theory (19-XX)
1 Sequences, series, summability (40-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year

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