Annales de l’institut Fourier (AIF)

Blocki, Zbigniew

Weak solutions to the complex Hessian equation

Bertin, José

Maugeais, Sylvain

Déformations équivariantes des courbes semistables

Magri, Franco

The Kowalevski's top and the method of Syzygies

Frey, Gerhard

Jarden, Moshe

On the number of elliptic curves with CM cover large algebraic fields

Huisman, Johannes

Mangolte, Frédéric

Every connected sum of lens spaces is a real component of a uniruled algebraic variety

Ollivier, Yann

Cogrowth and spectral gap of generic groups

Jousse, Nicolas

Étude d'un problème de continuité lié à l'hypothèse de Riemann

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Publications de Pierre van Moerbeke
Tome 55, no 6 (2005), p. 1757-1763.
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Ann. Inst. Fourier, Grenoble
55, 6 (2005), 1757–1763
PUBLICATIONS DE PIERRE VAN MOERBEKE
[1] An optimal stopping problem with linear reward, Acta Math. 132
(1974) 111–151.
[2] Optimal stopping and free boundary problems, Rocky Mountain J.
Math. 4 (1974) 539–578.
[3] On optimal stopping and free boundary problems, Arch. Rational
Mech. Anal. 60 (1976) 101–148.
[4] On some periodic Toda lattices, Proc. Nat. Acad. Sci., USA 72 (4)
(1975) 1627–1629 (with M. Kac).
[5] A complete solution of the periodic Toda problem, Proc. Nat. Acad.
Sci., USA 72 (8) (1975) 2879–2880 (with M. Kac).
[6] On an explicitly soluble system of nonlinear differential equations
related to certain Toda lattices, Adv. Math. 16 (1975) 160–169 (with
M. Kac).
[7] Some probabilistic aspects of scattering theory. Functional integration
and its applications, Proc. Intern. Conf. London (London 1974)
Clarendon Press (1975) 87–96 (with M. Kac).
[8] On some isospectral second order differential operators, Proc. Nat.
Acad. Sci., USA 71 (6) (1974) 2350–2351 (with M. Kac).
[9] The spectrum of Hill’s equation, Invent. Math. 30 (1975) 217–274
(with H.P. McKean).
[10] The spectrum of Jacobi matrices, Invent. Math. 37 (1976) 45–81.
[11] Sur le spectre de quelques opérateurs et les variétés de Jacobi,
Séminaire Bourbaki 474 (1975-76) 1–15 (with H.P. McKean).
[12] About Hill and Toda curves, Comm. on Pure and Applied Math. 33
(1980) 32–42 (with H.P. McKean).
1758
[13] About isospectral deformations of discrete Laplacians (in dimensions
one and two), Lecture Notes in Math. 755 Springer (1979) 313–370.
[14] The spectrum of difference operators and algebraic curves, Acta
Math. 143 (1979) 93–154 (with D. Mumford).
[15] Completely integrable system, Euclidean Lie algebras, and curves,
Adv. Math. 38 (1980) 267–317 (with M. Adler).
[16] Linearization of Hamiltonian systems, Jacobi varieties and represen-
tation theory, Adv. Math. 38 (1980) 318–379 (with M. Adler).
[17] The Lagrange rigid body problem, Ann. Inst. Fourier (Grenoble) 32
(1982) 211–234 (with T. Ratiu).
[18] Kowalewski’s asymptotic method, Kac-Moody Lie algebras and re-
gularization, Comm. Math. Phys. 83 (1982) 83–106 (with M. Adler).
[19] The algebraic integrability of geodesic flow on SO(4), Invent. Math.
67 (1982) 297–331 (with M. Adler).
[20] Geodesic flow on SO(4) and the intersection of quadrics, Proc. Nat.
Acad. Sci. USA 81 (14) (1984) 4613–4616 (with M. Adler).
[21] The algebraic complete integrability of Hamiltonian systems, Proc.
IUTAM-ISIMM Symposium on modern developements in analytic
mechanics, Vol. I (Torino 1982), Atti Accad. Sci. Torino Cl. Sci. Fis.
Mat. Natur. 117 (1983) 443–456.
[22] Algebraic complete integrability of Hamiltonian systems and Kac-
Moody Lie algebras, Invited lecture, Proceedings of the International
Congress of Mathematicians, Vol. 1,2 Warszaw, Poland (1982-1983)
881–899.
[23] The complete integrability of Hamiltonian systems, Proc. of EQUA-
DIFF 82 (Würzburg), Lecture Notes in Math. 1017, Springer (1983)
462–475.
[24] L’intégrabilité hamiltonienne de Jacobi à nos jours, Séminaire sud-
rhodanien géom. II (Lyon 1983) Travaux en cours (Hermann) (1984)
121–139.
[25] Open problems in the structure theory of non-linear integrable diffe-
rential and difference systems, Proceedings of the 15th Int. Sympo-
sium, Taniguchi Foundation, Katata (1984) 24–26.
ANNALES DE L’INSTITUT FOURIER
PUBLICATIONS DE PIERRE VAN MOERBEKE 1759
[26] Algebraic geometrical methods in Hamiltonian mechanics. With dis-
cussion. New developments in the theory and application of solitons,
Philos. Trans. Roy. Soc. London Ser. A 315 (1985) 379–390.
[27] Abelian surfaces of polarization (1, 2) and Kowalewski’s top, Comm.
on Pure and Applied Math. 42 (1989) 357–407 (with E. Horozov).
[28] The intersection of four quadrics in P6, Abelian surfaces and their
moduli, Math. Ann. 279 (1987) 25–85 (with M. Adler).
[29] The Goryachev-Chaplygin top and the Toda lattice, Comm. Math.
Phys. 110 (1987) 317–324 (with C. Bechlivanidis).
[30] A new geodesic flow on SO(4). Probability, statistical mechanics
and number theory, Adv. Math. Suppl. Stud. 9 (1986) 81–96 (with
M. Adler).
[31] Linearizing completely integrable systems on complex algebraic tori.
Dynamics of infinite-dimensional systems, (Lisbon, 1986), NATO
Adv. Sci. Inst. Ser. F Comput. Systems Sci. 37, Springer (1987)
421–449.
[32] The Kowalewski and Hénon-Heiles systems as Manakov geodesic flows
on SO(4) - a two-dimensional family of Lax pairs, Comm. Math. Phys.
113 (1988) 659–700 (with M. Adler).
[33] Introduction to algebraic integrable systems and their Painlevé ana-
lysis, Proc. AMS Symposium on theta-functions (July 1987) 1–24.
[34] Public address given at the occasion of the award of the Francqui Prize
to Pierre van Moerbeke by King Baudouin, rapport de la Fondation
Francqui (June 1988).
[35] Méthodes algébriques de la mécanique hamiltonienne, Presses Uni-
versitaires de Montréal (Lecture Notes).
[36] The Painlevé analysis and Algebraic geometry, symposium on “finite-
dimensional integrable non-linear dynamical systems”, Rand Afri-
kaans University, Johannesburg (1988).
[37] The complex geometry of the Kowalewski-Painlevé analysis, Invent.
Math. 97 (1989) 3–51 (with M. Adler).
[38] The Toda lattice, Dynkin diagrams, singularities and Abelian varie-
ties, Invent. Math. 103 (1991) 223–278 (with M. Adler).
[39] Bochum lectures : What does mechanics teach us about the geometry
of groups and Abelian varieties? (Lecture Notes).
TOME 55 (2005), FASCICULE 6
1760
[40] La nature, source de problèmes mathématiques, Bull. de la Soc. Math.
Bel. Ser. A 43 (1991) 1–16.
[41] Birkhoff strata, Bäcklund transformations, and regularization of isos-
pectral operators, Adv. Math. 108 (1994) 140–204 (with M. Adler).
[42] Limit matrices for the Toda flow and periodic flags for loop groups,
Math. Ann. 296 (1993) 1–33 (with M. Adler and L. Haine).
[43] A matrix integral solution to two-dimensional Wp-gravity, Comm.
Math. Phys. 147 (1992) 25–56 (with M. Adler).
[44] The boundary of isospectral manifolds, Bäcklund transforms and
regularization. Integrable systems, Luminy (1991) Progr. Math. 115
(1993) 163–177.
[45] From the w∞-algebra to its central extension: a τ -function approach,
Phys. Lett. A 194 (1994) 33–43 (with M. Adler and T. Shiota).
[46] Compatible Poisson structures and the Virasoro algebra, Comm. Pure
and Appl. Math. 47 (1994) 5–37 (with M. Adler).
[47] Random matrices, vertex operators and the Virasoro algebra, Phys.
Lett. A 208 (1995) 67–78 (with M. Adler and T. Shiota).
[48] A Lax pair representation for the vertex operator and the central
extension, Comm. Math. Phys. 171 (1995) 547–588 (with M. Adler
and T. Shiota).
[49] Matrix integrals, Toda symmetries, Virasoro constraints and ortho-
gonal polynomials, Duke Math. J. 80 (1995) 863–911 (with M. Adler)
(arXiv: solv-int/9706010).
[50] A matrix integral solution to [P,Q] = P and matrix Laplace trans-
forms, Comm. Math. Phys. 180 (1996) 233–263 (with M. Adler,
A. Morozov and T. Shiota) (arXiv: hep-th/9610137).
[51] New matrix model solutions to the Kac-Schwarz problem. Theory of
elementary particles (Buckow, 1995), Nuclear Phys. B Proc. Suppl.
49 (1996) 201–212 (with M. Adler, A. Morozov and T. Shiota)
(arXiv: hep-th/9603066).
[52] Group factorization, moment matrices, and Toda lattices, Intern.
Math. Res. Notices 12 (1997) 555–572 (with M. Adler).
[53] String-orthogonal polynomials, string equations, and 2-Toda symme-
tries, Comm. Pure Appl. Math. 50 (1997) 241–290 (with M. Adler)
(arXiv: hep-th/9706182).
ANNALES DE L’INSTITUT FOURIER
PUBLICATIONS DE PIERRE VAN MOERBEKE 1761
[54] Solitons, Strings and Random matrices, Institut Poincaré Lecture
Notes (1996-1997).
[55] The spectrum of Random matrices and Integrable systems, Group 21,
Physical applications and Mathematical aspects of Geometry, Groups
and Algebras, II, 835–852, edited by H.-D. Doebner, W. Scherer and
C. Schulte, World Scientific, Singapore 1997.
[56] Algèbres W et équations non-linéaires, Séminaire Bourbaki, Astéris-
que 252 (1998) 105–129.
[57] The solution to the q-KdV equation, Phys. Lett. A 242 (1998) 139–151
(with M. Adler and E. Horozov) (arXiv: solv-int/9712015).
[58] Toda-Darboux maps and vertex operators, Internat. Math. Res.
Notices 10 (1998) 489–511 (with M. Adler) (arXiv: solv-int/9712016).
[59] Random matrices, Virasoro algebras, and non-commutative KP, Duke
Math. J. 94 (1998) 379–431 (with M. Adler and T. Shiota)
(arXiv: solv-int/9812006).
[60] Vertex operator solutions to the discrete KP-hierarchy, Comm. Math.
Phys. 203 (1999) 185–210 (with M. Adler) (arXiv: solv-int/9912014).
[61] Generalized orthogonal polynomials, discrete KP and Riemann-
Hilbert problems, Comm. Math. Phys. 207 (1999) 589–620 (with
M. Adler) (arXiv: nlin.SI/0009002).
[62] The Pfaff lattice and skew-orthogonal polynomials, Internat. Math.
Res. Notices 11 (1999) 569–588 (with M. Adler and E. Horozov)
(arXiv: solv-int/9903005).
[63] The spectrum of coupled random matrices, Ann. of Math. 149 (1999)
921–976 (with M. Adler) (arXiv: hep-th/9907213).
[64] Classical skew orthogonal polynomials and random matrices, J. Sta-
tist. Phys. 99 (2000) 141–170 (with M. Adler, T. Nagao and P. For-
rester) (arXiv: Solv-int/9907001).
[65] Integrals over classical groups, random permutations, Toda and Toe-
plitz lattices, Comm. Pure Appl. Math. 54 (2000) (with M. Adler)
153–205 (arXiv: math.CO/9912143).
TOME 55 (2005), FASCICULE 6
1762
[66] Random Matrices and Random Permutations, Proceedings of the
workshop on Nonlinearity, Integrability and All That: Twenty years
after NEEDS’79 (Gallipoli 1999) World Scientific (2000) 207–218.
[67] Hermitian, symmetric and symplectic random ensembles: PDEs for
the distribution of the spectrum, Ann. of Math. 153 (2001) 149–189
(with M. Adler) (arXiv: math-ph/0009001).
[68] Darboux transforms on band matrices, weights, and associated po-
lynomials, Internat. Math. Res. Notices 18 (2001) 935–984 (with
M. Adler) (arXiv: nlin.SI/0010048).
[69] Toda versus Pfaff lattice and related polynomials, Duke Math. J. 112,
(1) (2002) 1–58 (with M. Adler) (arXiv: solv-int/9912008).
[70] Pfaff τ -functions, Math. Ann. 322 (2002) 423–476 (with M. Adler and
T. Shiota) (arXiv: solv-int/9909010).
[71] Random matrices and permutations, matrix integrals and integrable
systems, Séminaire Bourbaki, Astérisque 276 (2002) 411–433.
[72] Rational solutions to the Pfaff lattice and Jack polynomials, Ergodic
Theory Dynam. Systems 22 (2002) 1365–1405 (with M. Adler and
V. Kuznetsov) (arXiv: nlin.SI/0202037).
[73] Recursion relations for unitary integrals, combinatorics and the Toe-
plitz lattice, Comm. Math. Phys. 237 (2003) 397–440 (with M. Adler)
(arXiv: math-ph/0201063).
[74] Integrals over Grassmannians and random permutations, Adv. Math.
181 (2004) 190–249 (with M. Adler) (arXiv: math.CO/0110281).
[75] Virasoro action on Schur function expansions, skew young tableaux
and random walks, Comm. on Pure and Applied Math. 58 (2004)
362–408 (with M. Adler) (ArXiv: math.PR/0302329).
[76] PDE’s for the joint distributions of the Dyson, Airy and Sine pro-
cesses, Annals of Probability 33 (2005) 1326–1361 (with M. Adler)
(ArXiv: math.PR/0309202 & math.PR/0403504).
[77] Combinatorics and Integrable Geometry, Proceedings of NATO-ARW
conference, Marciana-Marina, Elba (2002), Kluwer (2005).
ANNALES DE L’INSTITUT FOURIER
PUBLICATIONS DE PIERRE VAN MOERBEKE 1763
Books or parts of book
[78] Integrable foundations of string theory, in Lectures on Integrable
systems, Proceedings of the CIMPA school, 1991, edited by Babelon,
Cartier, Kosmann-Schwarzbach, World Scientific, Singapore (1994)
163–267.
[79] Integrable lattices: random matrices and random permutations, part
of a book “Random matrices and their applications”, Math. Sci.
Res. Inst. Publ. #40, Cambridge University Press (2001) 321–406
(www.msri.org/publications/books/Book40/files/moerbeke.pdf).
[80] Algebraic integrability, Painlevé geometry and Lie Algebras, “Ergeb-
nisse der Mathematik und ihrer Grenzgebiete. 3. Folge/A Series of
Modern Surveys in Mathematics, 47 ”, Springer-Verlag (2004) (with
M. Adler and P. Vanhaecke).
TOME 55 (2005), FASCICULE 6


Publications de Pierre van Moerbeke

Di Francesco, Philippe

Zinn-Justin, Paul

Zuber, Jean-Bernard

Determinant formulae for some tiling problems and application to fully packed loops

Kassel, Christian

Schneider, Hans-Jürgen

Homotopy theory of Hopf Galois extensions

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