Edit Profile (opens in new tab) van Moerbeke, Pierre Compute Distance To: Compute Author ID: van-moerbeke.pierre Published as: van Moerbeke, Pierre; van Moerbeke, P.; Van Moerbeke, Pierre; Van Moerbeke, P. more...less External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 104 Publications since 1974, including 1 Book 2 Contributions as Editor Biographic References: 1 Publication Co-Authors: 28 Co-Authors with 84 Joint Publications 1,012 Co-Co-Authors all top 5 Co-Authors 22 single-authored 70 Adler, Mark 9 Shiota, Takahiro 5 Johansson, Kurt 5 Kac, Mark 4 McKean, Henry P. jun. 4 Vanhaecke, Pol 3 Cafasso, Mattia 3 Khorozov, Emil Ivanov 2 Delépine, Jonathan 2 Ferrari, Patrik Lino 2 Haine, Luc 2 Morozov, Alexei Yurievich 2 Nordenstam, Eric J. G. 1 Bechlivanidis, C. 1 Borodin, Alexei 1 Chhita, Sunil 1 Faddeev, Lyudvig Dmitrievich 1 Forrester, Peter J. 1 Grünbaum, Francisco Alberto 1 Kuznetsov, Vadim Borisovich 1 Lambert, Franklin 1 Moll, Victor Hugo 1 Mumford, David Bryant 1 Nagao, Taro 1 Orantin, Nicolas 1 Ratiu, Tudor Stefan 1 Vanderstichelen, Didier 1 Wang, Dong all top 5 Serials 11 Communications in Mathematical Physics 8 Communications on Pure and Applied Mathematics 7 Advances in Mathematics 5 Physics Letters. A 5 Inventiones Mathematicae 5 IMRN. International Mathematics Research Notices 4 Proceedings of the National Academy of Sciences of the United States of America 3 The Annals of Probability 3 Duke Mathematical Journal 3 Mathematische Annalen 3 Physica D 2 Journal of Mathematical Physics 2 Acta Mathematica 2 Annales de l’Institut Fourier 2 Rapport. Séminaire de Mathématique. Nouvelle Série 2 Annals of Mathematics. Second Series 1 Archive for Rational Mechanics and Analysis 1 Journal of Statistical Physics 1 Rocky Mountain Journal of Mathematics 1 Philosophical Transactions of the Royal Society of London. Ser. A 1 Ergodic Theory and Dynamical Systems 1 Probability Theory and Related Fields 1 Forum Mathematicum 1 The Annals of Applied Probability 1 Stochastic Processes and their Applications 1 Nuclear Physics. B. Proceedings Supplements 1 Electronic Journal of Probability 1 Mathematical Physics, Analysis and Geometry 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 1 NATO Science Series II: Mathematics, Physics and Chemistry 1 Journal of Physics A: Mathematical and Theoretical 1 Random Matrices: Theory and Applications 1 Contemporary Mathematicians all top 5 Fields 58 Dynamical systems and ergodic theory (37-XX) 40 Probability theory and stochastic processes (60-XX) 23 Partial differential equations (35-XX) 17 Nonassociative rings and algebras (17-XX) 14 Special functions (33-XX) 13 Algebraic geometry (14-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 13 Quantum theory (81-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 Differential geometry (53-XX) 9 Ordinary differential equations (34-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Mechanics of particles and systems (70-XX) 8 Combinatorics (05-XX) 5 Operator theory (47-XX) 3 Topological groups, Lie groups (22-XX) 3 Convex and discrete geometry (52-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 89 Publications have been cited 2,163 times in 1,361 Documents Cited by ▼ Year ▼ The spectrum of Hill’s equation. Zbl 0319.34024McKean, H. P.; van Moerbeke, P. 216 1975 Completely integrable systems, Euclidean Lie algebras, and curves. Zbl 0455.58017Adler, M.; Van Moerbeke, P. 138 1980 On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices. Zbl 0306.34001Kac, M.; van Moerbeke, Pierre 115 1975 The spectrum of Jacobi matrices. Zbl 0361.15010van Moerbeke, Pierre 97 1976 On optimal stopping and free boundary problems. Zbl 0336.35047Van Moerbeke, Pierre 96 1976 The spectrum of difference operators and algebraic curves. Zbl 0502.58032van Moerbeke, Pierre; Mumford, David 88 1979 Linearization of Hamiltonian systems, Jacobi varieties and representation theory. Zbl 0455.58010Adler, Mark; van Moerbeke, Pierre 75 1980 Algebraic integrability, Painlevé geometry and Lie algebras. Zbl 1083.37001Adler, Mark; van Moerbeke, Pierre; Vanhaecke, Pol 60 2004 A matrix integral solution to two-dimensional \(W_ p\)-gravity. Zbl 0756.35074Adler, M.; Van Moerbeke, P. 52 1992 A Lax representation for the vertex operator and the central extension. Zbl 0839.35116Adler, M.; Shiota, T.; van Moerbeke, P. 49 1995 Kowalewski’s asymptotic method, Kac-Moody Lie algebras and regularization. Zbl 0491.58017Adler, M.; van Moerbeke, P. 45 1982 Classical skew orthogonal polynomials and random matrices. Zbl 0989.82020Adler, M.; Forrester, P. J.; Nagao, T.; van Moerbeke, P. 43 2000 Matrix integrals, Toda symmetries, Virasoro constraints, and orthogonal polynomials. Zbl 0848.17027Adler, M.; van Moerbeke, P. 42 1995 PDEs for the joint distributions of the Dyson, Airy and Sine processes. Zbl 1093.60021Adler, Mark; van Moerbeke, Pierre 41 2005 On some periodic Toda lattices. Zbl 0343.34003Kac, M.; van Moerbeke, Pierre 40 1975 The complex geometry of the Kowalewski-Painlevé analysis. Zbl 0678.58020Adler, Mark; van Moerbeke, Pierre 40 1989 The spectrum of coupled random matrices. Zbl 0936.15018Adler, M.; van Moerbeke, P. 39 1999 A complete solution of the periodic Toda problem. Zbl 0343.34004Kac, M.; van Moerbeke, Pierre 37 1975 The algebraic integrability of geodesic flow on SO(4). Zbl 0539.58012Adler, M.; van Moerbeke, P. 33 1982 Integrals over classical groups, random permutations, Toda and Toeplitz lattices. Zbl 1086.34545Adler, Mark; van Moerbeke, Pierre 32 2001 Vertex operator solutions to the discrete KP-hierarchy. Zbl 0934.35149Adler, M.; van Moerbeke, P. 31 1999 Hermitian, symmetric and symplectic random ensembles: PDEs for the distribution of the spectrum. Zbl 1033.82005Adler, M.; van Moerbeke, P. 31 2001 Moment matrices and multi-component KP, with applications to random matrix theory. Zbl 1185.42026Adler, Mark; van Moerbeke, Pierre; Vanhaecke, Pol 27 2009 Generalized orthogonal polynomials, discrete KP and Riemann-Hilbert problems. Zbl 1063.37057Adler, M.; van Moerbeke, P. 26 1999 Dyson’s nonintersecting Brownian motions with a few outliers. Zbl 1166.60048Adler, Mark; Delépine, Jonathan; Van Moerbeke, Pierre 23 2009 Double Aztec diamonds and the tacnode process. Zbl 1335.60177Adler, Mark; Johansson, Kurt; van Moerbeke, Pierre 23 2014 PDEs for the Gaussian ensemble with external source and the Pearcey distribution. Zbl 1193.82012Adler, Mark; van Moerbeke, Pierre 22 2007 Recursion relations for unitary integrals, combinatorics and the Toeplitz lattice. Zbl 1090.37051Adler, M.; van Moerbeke, P. 21 2003 The Pfaff lattice and skew-orthogonal polynomials. Zbl 0931.35166Adler, M.; Horozov, E.; van Moerbeke, P. 21 1999 Integrable foundations of string theory. (Abstract). Zbl 0850.81049van Moerbeke, P. 21 1993 Darboux transforms on band matrices, weights, and associated polynomials. Zbl 0998.37024Adler, Mark; van Moerbeke, Pierre 21 2001 String-orthogonal polynomials, string equations, and 2-Toda symmetries. Zbl 0880.58012Adler, Mark; Van Moerbeke, Pierre 20 1997 Group factorization, moment matrices, and Toda lattices. Zbl 0893.58030Adler, M.; van Moerbeke, P. 20 1997 The Kowalewski and Hénon-Heiles motions as Manakov geodesic flows on SO(4) - a two-dimensional family of Lax pairs. Zbl 0647.58022Adler, Mark; van Moerbeke, Pierre 20 1987 Nonintersecting random walks in the neighborhood of a symmetric tacnode. Zbl 1279.60062Adler, Mark; Ferrari, Patrik L.; van Moerbeke, Pierre 20 2013 Universality for the Pearcey process. Zbl 1189.82085Adler, Mark; Orantin, Nicolas; van Moerbeke, Pierre 19 2010 Airy processes with wanderers and new universality classes. Zbl 1200.60069Adler, Mark; Ferrari, Patrik L.; van Moerbeke, Pierre 18 2010 Birkhoff strata, Bäcklund transformations, and regularization of isospectral operators. Zbl 0814.35114Adler, Mark; van Moerbeke, Pierre 18 1994 Random matrix minor processes related to percolation theory. Zbl 1298.60014Adler, Mark; van Moerbeke, Pierre; Wang, Dong 18 2013 Toda versus Pfaff lattice and related polynomials. Zbl 1067.37111Adler, M.; van Moerbeke, P. 17 2002 The full geometry of Kowalewski’s top and (1,2)-Abelian surfaces. Zbl 0689.58020Horozov, Emil; Van Moerbeke, Pierre 17 1989 Pfaff \(\tau\)-functions. Zbl 1047.37045Adler, M.; Shiota, T.; van Moerbeke, P. 16 2002 Geodesic flow on \(\text{SO}(4)\) and the intersection of quadrics. Zbl 0545.58027Adler, Mark; van Moerbeke, Pierre 16 1984 From the \(w_\infty\)-algebra to its central extension: a \(\tau\)-function approach. Zbl 0925.58031Adler, M.; Shiota, T.; van Moerbeke, P. 16 1994 The Lagrange rigid body motion. Zbl 0466.58020Ratiu, Tudor; van Moerbeke, P. 15 1982 The solution to the \(q\)-KdV equation. Zbl 0944.37035Adler, M.; Horozov, E.; van Moerbeke, P. 14 1998 An optimal stopping problem with linear reward. Zbl 0297.60027van Moerbeke, Pierre 14 1974 Optimal stopping and free boundary problems. Zbl 0323.60051van Moerbeke, Pierre 14 1974 The Toda lattice, Dynkin diagrams, singularities and Abelian varieties. Zbl 0735.14031Adler, Mark; van Moerbeke, Pierre 14 1991 From the \(w_\infty\)-algebra to its central extension: A \(\tau\)-function approach. Zbl 0961.37514Adler, M.; Shiota, T.; van Moerbeke, P. 13 1994 Limit matrices for the Toda flow and periodic flags for loop groups. Zbl 0788.58028Adler, M.; Haine, L.; van Moerbeke, P. 13 1993 Integrable lattices: Random matrices and random permutations. Zbl 0987.15014van Moerbeke, Pierre 12 2001 From the Pearcey to the Airy process. Zbl 1231.60107Adler, Mark; Cafasso, Mattia; van Moerbeke, Pierre 12 2011 Hill and Toda curves. Zbl 0422.14017McKean, H. P.; van Moerbeke, P. 11 1980 Random matrices, Virasoro algebras, and noncommutative KP. Zbl 1061.37047Adler, M.; Shiota, T.; van Moerbeke, P. 9 1998 Tacnode GUE-minor processes and double Aztec diamonds. Zbl 1321.60103Adler, Mark; Chhita, Sunil; Johansson, Kurt; van Moerbeke, Pierre 9 2015 Consecutive minors for Dyson’s Brownian motions. Zbl 1308.60013Adler, Mark; Nordenstam, Eric; van Moerbeke, Pierre 8 2014 Random and integrable models in mathematics and physics. Zbl 1252.15043van Moerbeke, Pierre 7 2011 The Goryachev-Chaplygin top and the Toda lattice. Zbl 0638.58010Bechlivanidis, C.; van Moerbeke, P. 7 1987 The intersection of four quadrics in \(P^ 6\), Abelian surfaces and their moduli. Zbl 0607.14030Adler, Mark; van Moerbeke, Pierre 6 1987 Virasoro action on Schur function expansions, skew Young tableaux, and random walks. Zbl 1157.05337Adler, M.; van Moerbeke, P. 6 2005 Integrals over Grassmannians and random permutations. Zbl 1036.60029Adler, M.; van Moerbeke, P. 6 2004 Compatible Poisson structures and the Virasoro algebra. Zbl 0801.58014Adler, Mark; Van Moerbeke, Pierre 6 1994 Non-intersecting Brownian motions leaving from and going to several points. Zbl 1245.60074Adler, Mark; van Moerbeke, Pierre; Vanderstichelen, Didier 6 2012 Coupled GUE-minor processes and domino tilings. Zbl 1384.60020Adler, Mark; van Moerbeke, Pierre 6 2015 Algebraic geometrical methods in Hamiltonian mechanics. Zbl 0576.70015van Moerbeke, P. 5 1985 Random matrices, vertex operators and the Virasoro algebra. Zbl 1020.82577Adler, M.; Shiota, T.; van Moerbeke, P. 5 1995 Random matrices, vertex operators and the Virasoro algebra. Zbl 0925.58032Adler, M.; Shiota, T.; van Moerbeke, P. 5 1995 About isospectral deformations of discrete Laplacians. Zbl 0464.58019van Moerbeke, Pierre 5 1979 The Dyson Brownian minor process. (Le Processus Brownien des mineurs de Dyson.) Zbl 1318.60008Adler, Mark; Nordenstam, Eric; van Moerbeke, Pierre 5 2014 Lozenge tilings of hexagons with cuts and asymptotic fluctuations: a new universality class. Zbl 1394.60050Adler, Mark; Johansson, Kurt; van Moerbeke, Pierre 4 2018 On some isospectral second order differential operators. Zbl 0294.34012Kac, Mark; van Moerbeke, Pierre 4 1974 Tilings of non-convex polygons, skew-Young tableaux and determinantal processes. Zbl 1401.60016Adler, Mark; Johansson, Kurt; van Moerbeke, Pierre 4 2018 Non-linear PDEs for gap probabilities in random matrices and KP theory. Zbl 1270.35205Adler, M.; Cafasso, M.; Van Moerbeke, P. 4 2012 Algebraic complete integrability of Hamiltonian systems and Kac-Moody Lie algebras. Zbl 0566.58019van Moerbeke, Pierre 3 1984 Some probabilistic aspects of scattering theory. Zbl 0318.34033Kac, M.; van Moerbeke, P. 3 1975 A matrix integral solution to \([P,Q]=P\) and matrix Laplace transforms. Zbl 0858.35109Adler, M.; Morozov, A.; Shiota, T.; van Moerbeke, P. 3 1996 Toda-Darboux maps and vertex operators. Zbl 0926.58022Adler, M.; van Moerbeke, P. 3 1998 Probability distributions related to tilings of non-convex polygons. Zbl 1400.52018Adler, Mark; van Moerbeke, Pierre 3 2018 Nonlinear PDEs for Fredholm determinants arising from string equations. Zbl 1288.35414Adler, Mark; Cafasso, Mattia; van Moerbeke, Pierre 3 2013 A PDE for non-intersecting Brownian motions and applications. Zbl 1210.60090Adler, Mark; Delépine, Jonathan; van Moerbeke, Pierre; Vanhaecke, Pol 3 2011 A new geodesic flow on SO(4). Zbl 0657.58029Adler, Mark; van Moerbeke, Pierre 3 1986 Rational solutions to the Pfaff lattice and Jack polynomials. Zbl 1021.37034Adler, M.; Kuznetsov, V. B.; van Moerbeke, P. 2 2002 Singularity confinement for a class of \(m\)-th order difference equations of combinatorics. Zbl 1153.39300Adler, Mark; van Moerbeke, Pierre; Vanhaecke, Pol 2 2008 Introduction to algebraic integrable systems and their Painlevé analysis. Zbl 0688.70012van Moerbeke, Pierre 2 1989 Random matrices and permutations, matrix integrals and integrable systems. Zbl 0995.15019van Moerbeke, Pierre 1 2002 A singular Toeplitz determinant and the discrete tacnode kernel for skew-Aztec rectangles. Zbl 1492.60026Adler, Mark; Johansson, Kurt; van Moerbeke, Pierre 1 2022 New matrix model solutions to the Kac-Schwarz problem. Zbl 0957.37515Adler, M.; Morozov, A.; Shiota, T.; van Moerbeke, P. 1 1996 Linearizing completely integrable systems on complex algebraic tori. Zbl 0659.70013van Moerbeke, P. 1 1987 A singular Toeplitz determinant and the discrete tacnode kernel for skew-Aztec rectangles. Zbl 1492.60026Adler, Mark; Johansson, Kurt; van Moerbeke, Pierre 1 2022 Lozenge tilings of hexagons with cuts and asymptotic fluctuations: a new universality class. Zbl 1394.60050Adler, Mark; Johansson, Kurt; van Moerbeke, Pierre 4 2018 Tilings of non-convex polygons, skew-Young tableaux and determinantal processes. Zbl 1401.60016Adler, Mark; Johansson, Kurt; van Moerbeke, Pierre 4 2018 Probability distributions related to tilings of non-convex polygons. Zbl 1400.52018Adler, Mark; van Moerbeke, Pierre 3 2018 Tacnode GUE-minor processes and double Aztec diamonds. Zbl 1321.60103Adler, Mark; Chhita, Sunil; Johansson, Kurt; van Moerbeke, Pierre 9 2015 Coupled GUE-minor processes and domino tilings. Zbl 1384.60020Adler, Mark; van Moerbeke, Pierre 6 2015 Double Aztec diamonds and the tacnode process. Zbl 1335.60177Adler, Mark; Johansson, Kurt; van Moerbeke, Pierre 23 2014 Consecutive minors for Dyson’s Brownian motions. Zbl 1308.60013Adler, Mark; Nordenstam, Eric; van Moerbeke, Pierre 8 2014 The Dyson Brownian minor process. (Le Processus Brownien des mineurs de Dyson.) Zbl 1318.60008Adler, Mark; Nordenstam, Eric; van Moerbeke, Pierre 5 2014 Nonintersecting random walks in the neighborhood of a symmetric tacnode. Zbl 1279.60062Adler, Mark; Ferrari, Patrik L.; van Moerbeke, Pierre 20 2013 Random matrix minor processes related to percolation theory. Zbl 1298.60014Adler, Mark; van Moerbeke, Pierre; Wang, Dong 18 2013 Nonlinear PDEs for Fredholm determinants arising from string equations. Zbl 1288.35414Adler, Mark; Cafasso, Mattia; van Moerbeke, Pierre 3 2013 Non-intersecting Brownian motions leaving from and going to several points. Zbl 1245.60074Adler, Mark; van Moerbeke, Pierre; Vanderstichelen, Didier 6 2012 Non-linear PDEs for gap probabilities in random matrices and KP theory. Zbl 1270.35205Adler, M.; Cafasso, M.; Van Moerbeke, P. 4 2012 From the Pearcey to the Airy process. Zbl 1231.60107Adler, Mark; Cafasso, Mattia; van Moerbeke, Pierre 12 2011 Random and integrable models in mathematics and physics. Zbl 1252.15043van Moerbeke, Pierre 7 2011 A PDE for non-intersecting Brownian motions and applications. Zbl 1210.60090Adler, Mark; Delépine, Jonathan; van Moerbeke, Pierre; Vanhaecke, Pol 3 2011 Universality for the Pearcey process. Zbl 1189.82085Adler, Mark; Orantin, Nicolas; van Moerbeke, Pierre 19 2010 Airy processes with wanderers and new universality classes. Zbl 1200.60069Adler, Mark; Ferrari, Patrik L.; van Moerbeke, Pierre 18 2010 Moment matrices and multi-component KP, with applications to random matrix theory. Zbl 1185.42026Adler, Mark; van Moerbeke, Pierre; Vanhaecke, Pol 27 2009 Dyson’s nonintersecting Brownian motions with a few outliers. Zbl 1166.60048Adler, Mark; Delépine, Jonathan; Van Moerbeke, Pierre 23 2009 Singularity confinement for a class of \(m\)-th order difference equations of combinatorics. Zbl 1153.39300Adler, Mark; van Moerbeke, Pierre; Vanhaecke, Pol 2 2008 PDEs for the Gaussian ensemble with external source and the Pearcey distribution. Zbl 1193.82012Adler, Mark; van Moerbeke, Pierre 22 2007 PDEs for the joint distributions of the Dyson, Airy and Sine processes. Zbl 1093.60021Adler, Mark; van Moerbeke, Pierre 41 2005 Virasoro action on Schur function expansions, skew Young tableaux, and random walks. Zbl 1157.05337Adler, M.; van Moerbeke, P. 6 2005 Algebraic integrability, Painlevé geometry and Lie algebras. Zbl 1083.37001Adler, Mark; van Moerbeke, Pierre; Vanhaecke, Pol 60 2004 Integrals over Grassmannians and random permutations. Zbl 1036.60029Adler, M.; van Moerbeke, P. 6 2004 Recursion relations for unitary integrals, combinatorics and the Toeplitz lattice. Zbl 1090.37051Adler, M.; van Moerbeke, P. 21 2003 Toda versus Pfaff lattice and related polynomials. Zbl 1067.37111Adler, M.; van Moerbeke, P. 17 2002 Pfaff \(\tau\)-functions. Zbl 1047.37045Adler, M.; Shiota, T.; van Moerbeke, P. 16 2002 Rational solutions to the Pfaff lattice and Jack polynomials. Zbl 1021.37034Adler, M.; Kuznetsov, V. B.; van Moerbeke, P. 2 2002 Random matrices and permutations, matrix integrals and integrable systems. Zbl 0995.15019van Moerbeke, Pierre 1 2002 Integrals over classical groups, random permutations, Toda and Toeplitz lattices. Zbl 1086.34545Adler, Mark; van Moerbeke, Pierre 32 2001 Hermitian, symmetric and symplectic random ensembles: PDEs for the distribution of the spectrum. Zbl 1033.82005Adler, M.; van Moerbeke, P. 31 2001 Darboux transforms on band matrices, weights, and associated polynomials. Zbl 0998.37024Adler, Mark; van Moerbeke, Pierre 21 2001 Integrable lattices: Random matrices and random permutations. Zbl 0987.15014van Moerbeke, Pierre 12 2001 Classical skew orthogonal polynomials and random matrices. Zbl 0989.82020Adler, M.; Forrester, P. J.; Nagao, T.; van Moerbeke, P. 43 2000 The spectrum of coupled random matrices. Zbl 0936.15018Adler, M.; van Moerbeke, P. 39 1999 Vertex operator solutions to the discrete KP-hierarchy. Zbl 0934.35149Adler, M.; van Moerbeke, P. 31 1999 Generalized orthogonal polynomials, discrete KP and Riemann-Hilbert problems. Zbl 1063.37057Adler, M.; van Moerbeke, P. 26 1999 The Pfaff lattice and skew-orthogonal polynomials. Zbl 0931.35166Adler, M.; Horozov, E.; van Moerbeke, P. 21 1999 The solution to the \(q\)-KdV equation. Zbl 0944.37035Adler, M.; Horozov, E.; van Moerbeke, P. 14 1998 Random matrices, Virasoro algebras, and noncommutative KP. Zbl 1061.37047Adler, M.; Shiota, T.; van Moerbeke, P. 9 1998 Toda-Darboux maps and vertex operators. Zbl 0926.58022Adler, M.; van Moerbeke, P. 3 1998 String-orthogonal polynomials, string equations, and 2-Toda symmetries. Zbl 0880.58012Adler, Mark; Van Moerbeke, Pierre 20 1997 Group factorization, moment matrices, and Toda lattices. Zbl 0893.58030Adler, M.; van Moerbeke, P. 20 1997 A matrix integral solution to \([P,Q]=P\) and matrix Laplace transforms. Zbl 0858.35109Adler, M.; Morozov, A.; Shiota, T.; van Moerbeke, P. 3 1996 New matrix model solutions to the Kac-Schwarz problem. Zbl 0957.37515Adler, M.; Morozov, A.; Shiota, T.; van Moerbeke, P. 1 1996 A Lax representation for the vertex operator and the central extension. Zbl 0839.35116Adler, M.; Shiota, T.; van Moerbeke, P. 49 1995 Matrix integrals, Toda symmetries, Virasoro constraints, and orthogonal polynomials. Zbl 0848.17027Adler, M.; van Moerbeke, P. 42 1995 Random matrices, vertex operators and the Virasoro algebra. Zbl 1020.82577Adler, M.; Shiota, T.; van Moerbeke, P. 5 1995 Random matrices, vertex operators and the Virasoro algebra. Zbl 0925.58032Adler, M.; Shiota, T.; van Moerbeke, P. 5 1995 Birkhoff strata, Bäcklund transformations, and regularization of isospectral operators. Zbl 0814.35114Adler, Mark; van Moerbeke, Pierre 18 1994 From the \(w_\infty\)-algebra to its central extension: a \(\tau\)-function approach. Zbl 0925.58031Adler, M.; Shiota, T.; van Moerbeke, P. 16 1994 From the \(w_\infty\)-algebra to its central extension: A \(\tau\)-function approach. Zbl 0961.37514Adler, M.; Shiota, T.; van Moerbeke, P. 13 1994 Compatible Poisson structures and the Virasoro algebra. Zbl 0801.58014Adler, Mark; Van Moerbeke, Pierre 6 1994 Integrable foundations of string theory. (Abstract). Zbl 0850.81049van Moerbeke, P. 21 1993 Limit matrices for the Toda flow and periodic flags for loop groups. Zbl 0788.58028Adler, M.; Haine, L.; van Moerbeke, P. 13 1993 A matrix integral solution to two-dimensional \(W_ p\)-gravity. Zbl 0756.35074Adler, M.; Van Moerbeke, P. 52 1992 The Toda lattice, Dynkin diagrams, singularities and Abelian varieties. Zbl 0735.14031Adler, Mark; van Moerbeke, Pierre 14 1991 The complex geometry of the Kowalewski-Painlevé analysis. Zbl 0678.58020Adler, Mark; van Moerbeke, Pierre 40 1989 The full geometry of Kowalewski’s top and (1,2)-Abelian surfaces. Zbl 0689.58020Horozov, Emil; Van Moerbeke, Pierre 17 1989 Introduction to algebraic integrable systems and their Painlevé analysis. Zbl 0688.70012van 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 0647.58022Adler, Mark; van Moerbeke, Pierre 20 1987 The Goryachev-Chaplygin top and the Toda lattice. Zbl 0638.58010Bechlivanidis, C.; van Moerbeke, P. 7 1987 The intersection of four quadrics in \(P^ 6\), Abelian surfaces and their moduli. Zbl 0607.14030Adler, Mark; van Moerbeke, Pierre 6 1987 Linearizing completely integrable systems on complex algebraic tori. Zbl 0659.70013van Moerbeke, P. 1 1987 A new geodesic flow on SO(4). Zbl 0657.58029Adler, Mark; van Moerbeke, Pierre 3 1986 Algebraic geometrical methods in Hamiltonian mechanics. Zbl 0576.70015van Moerbeke, P. 5 1985 Geodesic flow on \(\text{SO}(4)\) and the intersection of quadrics. Zbl 0545.58027Adler, Mark; van Moerbeke, Pierre 16 1984 Algebraic complete integrability of Hamiltonian systems and Kac-Moody Lie algebras. Zbl 0566.58019van Moerbeke, Pierre 3 1984 Kowalewski’s asymptotic method, Kac-Moody Lie algebras and regularization. Zbl 0491.58017Adler, M.; van Moerbeke, P. 45 1982 The algebraic integrability of geodesic flow on SO(4). Zbl 0539.58012Adler, M.; van Moerbeke, P. 33 1982 The Lagrange rigid body motion. Zbl 0466.58020Ratiu, Tudor; van Moerbeke, P. 15 1982 Completely integrable systems, Euclidean Lie algebras, and curves. Zbl 0455.58017Adler, M.; Van Moerbeke, P. 138 1980 Linearization of Hamiltonian systems, Jacobi varieties and representation theory. Zbl 0455.58010Adler, Mark; van Moerbeke, Pierre 75 1980 Hill and Toda curves. Zbl 0422.14017McKean, H. P.; van Moerbeke, P. 11 1980 The spectrum of difference operators and algebraic curves. Zbl 0502.58032van Moerbeke, Pierre; Mumford, David 88 1979 About isospectral deformations of discrete Laplacians. Zbl 0464.58019van Moerbeke, Pierre 5 1979 The spectrum of Jacobi matrices. Zbl 0361.15010van Moerbeke, Pierre 97 1976 On optimal stopping and free boundary problems. Zbl 0336.35047Van Moerbeke, Pierre 96 1976 The spectrum of Hill’s equation. Zbl 0319.34024McKean, H. P.; van Moerbeke, P. 216 1975 On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices. Zbl 0306.34001Kac, M.; van Moerbeke, Pierre 115 1975 On some periodic Toda lattices. Zbl 0343.34003Kac, M.; van Moerbeke, Pierre 40 1975 A complete solution of the periodic Toda problem. Zbl 0343.34004Kac, M.; van Moerbeke, Pierre 37 1975 Some probabilistic aspects of scattering theory. Zbl 0318.34033Kac, M.; van Moerbeke, P. 3 1975 An optimal stopping problem with linear reward. Zbl 0297.60027van Moerbeke, Pierre 14 1974 Optimal stopping and free boundary problems. Zbl 0323.60051van Moerbeke, Pierre 14 1974 On some isospectral second order differential operators. Zbl 0294.34012Kac, Mark; van Moerbeke, Pierre 4 1974 all cited Publications top 5 cited Publications all top 5 Cited by 1,289 Authors 51 van Moerbeke, Pierre 47 Adler, Mark 22 Cheng, Jipeng 22 He, Jingsong 21 Forrester, Peter J. 19 Simon, Barry 19 Vanhaecke, Pol 16 Li, Chuanzhong 15 Lesfari, Ahmed 14 Gesztesy, Fritz 14 Mañas, Manuel 13 Damianou, Pantelis Andrea 13 Kuijlaars, Arno B. J. 12 Bertola, Marco 12 Harnad, John 12 Li, Shihao 11 Bloch, Anthony Michael 11 Helminck, Gerardus Franciscus 11 van de Leur, Johan W. 11 Wang, Dong 10 Borodin, Alexei 10 Chang, Xiangke 10 Ferrari, Patrik Lino 10 Hu, Xingbiao 10 Takasaki, Kanehisa 9 Delvaux, Steven 9 Haine, Luc 9 Johansson, Kurt 9 Korotyaev, Evgeny L. 9 Zhang, Lun 8 Cafasso, Mattia 8 Dragović, Vladimir 8 Fokas, Athanassios S. 8 Hurtubise, Jacques C. 8 McKean, Henry P. jun. 7 Ablowitz, Mark Jay 7 Chen, Yang 7 Duits, Maurice 7 Fan, Engui 7 Fedorov, Yuri N. 7 Iliev, Plamen 7 Johnson, Russell Allan 7 Kappeler, Thomas 7 Kodama, Yuji 7 Li, Luen-Chau 7 Marcellán Español, Francisco 7 Ratiu, Tudor Stefan 7 Sakhnovich, Alexander L. 7 Shiota, Takahiro 7 Tian, Kelei 6 Ariznabarreta, Gerardo 6 Bebiano, Natália Isabel Quadros 6 Carroll, Robert Wayne 6 Chen, Jinbing 6 Corwin, Ivan Z. 6 Ercolani, Nicholas M. 6 Geng, Xianguo 6 Grava, Tamara 6 Guha, Partha 6 Khorozov, Emil Ivanov 6 Inoue, Rei 6 Khanmamedov, Agil Khanmamed ogly 6 Orlov, Aleksandr Yu. 6 Tracy, Craig Arnold 6 Witte, Nicholas S. 6 Yang, Di 5 Adams, Malcolm R. 5 Blower, Gordon 5 Bogoyavlenskij, Oleg Igorevich 5 Branquinho, Amílcar José Pinto Lopes 5 Claeys, Tom 5 Dubrovin, Boris Anatol’evich 5 Enolskiĭ, Viktor Zelikovich 5 Evripidou, Charalampos A. 5 Gajić, Borislav 5 Geng, Lumin 5 Hammond, Alan 5 Helminck, Aloysius G. 5 Its, Alexander Rudolfovich 5 Kac, Victor G. 5 Konopelchenko, Boris Georgievich 5 Li, Maohua 5 Liechty, Karl 5 Martínez Alonso, Luis 5 McDaniel, Andrew 5 Peherstorfer, Franz 5 Piovan, Luis Amadeo 5 Previato, Emma 5 Suris, Yuri Borisovich 5 Tsyganov, Andreĭ Vladimirovich 5 Widom, Harold 4 Aptekarev, Alexander Ivanovich 4 Carlet, Guido 4 Chen, Guoliang 4 Chen, Huizhan 4 Cheng, Yi 4 Clarkson, Peter A. 4 Dai, Dan 4 Damanik, David 4 Deift, Percy A. ...and 1,189 more Authors all top 5 Cited in 254 Serials 119 Journal of Mathematical Physics 113 Communications in Mathematical Physics 49 Physica D 46 Journal of Geometry and Physics 32 Journal of Statistical Physics 32 Letters in Mathematical Physics 30 Advances in Mathematics 29 Journal of Nonlinear Mathematical Physics 25 Theoretical and Mathematical Physics 24 Journal of Mathematical Analysis and Applications 23 Regular and Chaotic Dynamics 21 Duke Mathematical Journal 21 Transactions of the American Mathematical Society 20 Nuclear Physics. B 20 Annales de l’Institut Fourier 20 Journal of Approximation Theory 18 Communications on Pure and Applied Mathematics 18 Journal of Computational and Applied Mathematics 18 Acta Applicandae Mathematicae 16 Inventiones Mathematicae 14 The Annals of Probability 14 Journal of Differential Equations 14 Random Matrices: Theory and Applications 12 Functional Analysis and its Applications 12 Mathematische Annalen 12 Studies in Applied Mathematics 11 Journal of Functional Analysis 11 Journal of Physics A: Mathematical and Theoretical 10 Reviews in Mathematical Physics 10 Probability Theory and Related Fields 10 Constructive Approximation 10 Linear Algebra and its Applications 10 Bulletin of the American Mathematical Society. New Series 10 Mathematical Finance 9 Compositio Mathematica 9 Proceedings of the American Mathematical Society 9 Journal of Mathematical Sciences (New York) 8 Mathematical Notes 8 Physics Letters. A 8 Journal of Economic Dynamics & Control 8 Journal of High Energy Physics 7 Nonlinearity 7 Acta Mathematica 7 Applied Mathematics and Optimization 7 Journal of Soviet Mathematics 7 Mathematische Zeitschrift 7 Bulletin des Sciences Mathématiques 6 Applicable Analysis 6 The Annals of Applied Probability 6 Stochastic Processes and their Applications 6 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 6 Journal of Nonlinear Science 6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 6 Analysis and Mathematical Physics 5 International Journal of Modern Physics A 5 Journal d’Analyse Mathématique 5 Chaos, Solitons and Fractals 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Applied Mathematics Letters 5 Mathematical Physics, Analysis and Geometry 5 Stochastics 5 Advances in Mathematical Physics 4 Mathematical Methods in the Applied Sciences 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 Russian Journal of Mathematical Physics 4 Discrete and Continuous Dynamical Systems 4 Doklady Mathematics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 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 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 Journal of Dynamics and Differential Equations 3 Selecta Mathematica. New Series 3 Applied Mathematical Finance 3 Annals of Mathematics. Second Series 3 Communications in Nonlinear Science and Numerical Simulation 3 Physical Review Letters 3 Journal of Geometric Mechanics 2 Israel Journal of Mathematics 2 Journal of Computational Physics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Reports on Mathematical Physics 2 Rocky Mountain Journal of Mathematics 2 Russian Mathematical Surveys ...and 154 more Serials all top 5 Cited in 59 Fields 620 Dynamical systems and ergodic theory (37-XX) 375 Partial differential equations (35-XX) 244 Probability theory and stochastic processes (60-XX) 176 Ordinary differential equations (34-XX) 160 Algebraic geometry (14-XX) 151 Linear and multilinear algebra; matrix theory (15-XX) 145 Quantum theory (81-XX) 124 Statistical mechanics, structure of matter (82-XX) 120 Mechanics of particles and systems (70-XX) 114 Special functions (33-XX) 105 Nonassociative rings and algebras (17-XX) 88 Operator theory (47-XX) 78 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 74 Differential geometry (53-XX) 66 Harmonic analysis on Euclidean spaces (42-XX) 58 Difference and functional equations (39-XX) 57 Numerical analysis (65-XX) 55 Global analysis, analysis on manifolds (58-XX) 35 Combinatorics (05-XX) 32 Topological groups, Lie groups (22-XX) 32 Functions of a complex variable (30-XX) 26 Statistics (62-XX) 24 Fluid mechanics (76-XX) 24 Systems theory; control (93-XX) 21 Approximations and expansions (41-XX) 20 Relativity and gravitational theory (83-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 17 Several complex variables and analytic spaces (32-XX) 11 Integral equations (45-XX) 10 Number theory (11-XX) 10 Group theory and generalizations (20-XX) 10 Potential theory (31-XX) 10 Convex and discrete geometry (52-XX) 9 Functional analysis (46-XX) 8 Manifolds and cell complexes (57-XX) 7 Integral transforms, operational calculus (44-XX) 7 Operations research, mathematical programming (90-XX) 6 Associative rings and algebras (16-XX) 6 Real functions (26-XX) 5 Field theory and polynomials (12-XX) 4 History and biography (01-XX) 4 Commutative algebra (13-XX) 4 Measure and integration (28-XX) 4 Abstract harmonic analysis (43-XX) 4 Geometry (51-XX) 4 Algebraic topology (55-XX) 4 Mechanics of deformable solids (74-XX) 3 Optics, electromagnetic theory (78-XX) 2 Category theory; homological algebra (18-XX) 2 General topology (54-XX) 2 Computer science (68-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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