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Publications - years 2003 to 2005
A.
S. Cattaneo and D. Indelicato, Formality and Star Products, in
Poisson Geometry, Deformation Quantisation and Group
Representations, (ed. S. Gutt, J. Rawnsley, D. Sternheimer), London
Mathematical Society Lecture Note Series 323, 79-144 (Cambridge
University Press, 2005), MIS0198
A.
S. Cattaneo, B. Dherin and G. Felder, Formal symplectic groupoid,
Commun. Math. Phys. 253, 645-674 (2005), MIS0130
A.
S. Cattaneo, D. Fiorenza and R. Longoni, On the
Hochschild-Kostant-Rosenberg map for graded manifolds, IMRN 62,
3899-3918 (2005), MIS0131
A.I.
Aptekarev, P.M. Bleher and A.B.J. Kuijlaars, Large n limit of
Gaussian random matrices with external source, part II,
MIS0016-external-source-II.pdf
A.I.
Bobenko, Ch. Mercat, Yu.B. Suris, Linear and nonlinear theories
of discrete analytic functions. Integrable structure and
isomonodromic Green's function, J. Reine und Angew. Math. 583
(2005) 117-161, MIS0096
A.N.
Sergeev, A.P. Veselov, Generalised discriminants, deformed
quantum Calogero-Moser-Sutherland operators and super-Jack
polynomials, Advances in Mathematics, 192 (2005), 341-375,
MIS0114
Alberto
S. Cattaneo and Giovanni Felder, Relative formality theorem and
quantisation of coisotropic submanifolds,
MIS0006-RelativeFormalityTheorem.pdf
Alexander
I. Bobenko, A conformal energy for simplicial surfaces,
arXiv:math/0406128
Alexander
I. Bobenko, Boris A. Springborn, A discrete
Laplace-Beltrami operator for simplicial surfaces,
arXiv:math/0503219
Alexander
I. Bobenko, Christian Mercat, Yuri B. Suris, Linear and
nonlinear theories of discrete analytic functions. Integrable
structure and isomonodromic Green's function,
arXiv:math/0402097
Alexander
I. Bobenko, Yuri B. Suris, Discrete differential geometry.
Consistency as integrability, arXiv:math/0504358
Andreas
Kriegl, Mark Losik, Peter W. Michor, Armin Rainer, Lifting smooth
curves over invariants for representations of compact Lie groups,
III, arXiv:math/0504101
Andreas
Kriegl, Mark Losik, Peter W. Michor, Armin Rainer, Lifting smooth
curves over invariants for representations of compact Lie groups.
II, arXiv:math/0402222
B.
Eynard Loop equations for the semiclassical 2-matrix model with
hard edges, math-ph/0504002, JSTAT 008 0705/5, MIS0064
B.
Eynard, N. Orantin, Mixed correlation functions in the 2-matrix
model, and the Bethe ansatz, hep-th/0504029, JHEP 0508 (2005)
028, MIS0062
B.
Eynard, N. Orantin, Topological expansion of the 2-matrix model
correlation functions: diagrammatic rules for a residue formula,
math-ph/0504058, JHEP 0512 (2005) 034, MIS0063
B.Dubrovin,
S.-Q.Liu, Y.Zhang, On Hamiltonian perturbations of hyperbolic
systems of conservation laws, MIS0002-qs.ps
Basor,
E.L.and Chen, Y. , Perturbed Hankel determinants, Journal of
Physics A: Math.Gen. 38(2005)10101-10106, MIS0042
C.
LeBrun, Lionel Mason, Nonlinear Gravitons, Null geodesics, and
Holomorphic disks, math.DG/0504582 to appear in Duke math
Journal, MIS0128
Cao,
C.; Holm, D. D.; Titi, E. S. On the Clark-$\alpha$ model of
turbulence: global regularity and long-time dynamics,J. Turbul.
6 (2005), Paper 20, 11 pp., MIS0059
Chen,
Y. and Basor, E.L. , Toeplitz determinant from compatibility
conditions, to appear in Ramanujan Journal. MIS0045
Chen,
Y. and Ismail, M.E.H., Jacobi Polynomials from Compatibility
Conditions, Proc. Amer. Math. Soc.133(2005)465-472, MIS0046
Chen,
Y. and Its, A.R., A Riemann-Hilbert problem approach to the
Akhiezer polynomials,to appear in special issue "30 years
of finite-gap integration" of the Proceedings of the Royal
Society, London. MIS0047
Chen,
Y. and Pruessner, G. , Orthogonal polynomials with discontinuous
weights, Journal of Physics A:Math. Gen. 38(2005) L191-L198,
MIS0043
Chen,
Y., Griffin, J.C. and Ismail, M.E.H. , Generalisations of
Chebyshev polynomials and polynomial mappings, to appear,
Transaction of the AMS.
Cheskidov,
Alexey; Holm, Darryl D.; Olson, Eric; Titi, Edriss S. On a
Leray-$\alpha$ model of turbulence, Proc. R. Soc. Lond. Ser. A
Math. Phys. Eng. Sci. 461 (2005), no. 2055, 629--649, MIS0182
Crowdy,
Darren and Marshall, Jonathan, Analytical formulae for the
Kirchhoff-Routh path function in multiply connected domains,
Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 461 (2005), no.
2060, 2477--2501, MIS0176
Crowdy,
Darren and Marshall, Jonathan, The motion of a point vortex
around multiple circular islands, Phys. Fluids 17 (2005), no. 5,
056602, MIS0177
Crowdy,
Darren, Genus-N algebraic reductions of the Benney hierarchy
within a Schottky model, J. Phys. A 38 (2005), no. 50,
10917-10934, MIS0173
Crowdy,
Darren, Quadrature
domains and their applications, 113--129,
Oper. Theory Adv. Appl., 156, Birkhäuser,
Basel,
2005, MIS0179
Crowdy,
Darren, The Schwarz-Christoffel mapping to bounded multiply
connected polygonal domains, Proc. R. Soc. Lond. Ser. A Math.
Phys. Eng. Sci. 461 (2005), no. 2061, 2653--2678, MIS0175
Crowdy,
Darren; Siegel, Michael Exact solutions for the evolution of a
bubble in Stokes flow: a Cauchy transform approach, SIAM J.
Appl. Math. 65 (2005), no. 3, 941-963, MIS0178
D.
Bernard and P. Di Francesco, Les mille et une facettes de
l'integrabilite, Pour La Science No. 336, oct. 2005, pp 76-82,
MIS0201
D.C.
Barnett, R.G. Halburd, R.J. Korhonen, and W. Morgan, Nevanlinna
theory for the q-difference operator and meromorphic solutions of
q-difference equations, to appear in Proc. Roy. Soc.
Edinburgh, Sect.A, MIS0185
D.G.
Crowdy and J.S. Marshall, Uniformizing the boundaries of multiply
connected quadrature domains using Fuchsian groups, Physica D,
(to appear). MIS0169
D.G.
Crowdy, The Benney hierarchy and the Dirichlet boundary problem
in two dimensions, Phys. Lett A, 343(4), 319-329, (2005),
MIS0174
D.G.
Crowdy, The Schwarz-Christoffel mapping to unbounded multiply
connected polygonal domains , Math. Proc. Camb. Math. Soc, (to
appear), MIS0170
Damien
Calaque, Vasiliy Dolgushev, Gilles Halbout. Formality theorems
for Hochschild chains in the Lie algebroid setting, math.KT/0504372,
MIS0156
Dancer,
Andrew (and Wang. M.) Superpotentials and the cohomegeneity-1
Einstein equations, Comm. Math. Phys., 260 (2005) no. 1, 75-115,
MIS0186
Dunajski,
M., Gindikin, S. and Mason L.J., Solitons and Admissible Families
of Rational Curves in Twistor Spaces, Nonlinearity 18, 543-557.
(2005), MIS0121
E.V.
Ferapontov and D.G. Marshall, Differential-geometric approach to
the integrability of hydrodynamic chains: the Haantjes tensor,
arXiv:nlin.SI/0505013, submitted to Mathematische Annalen. ,
MIS0155
E.V.
Ferapontov, K.R. Khusnutdinova and M.V. Pavlov, Classification of
integrable (2+1)-dimensional quasilinear
hierarchies, Theor. Math. Phys,
144 (2005) 35-43, MIS0106
Edwin
Langmann, A method to derive explicit formulas for an elliptic
generalization of the Jack polynomials, invited contribution to
the proceedings of a workshop on "Jack, Hall-Littlewood and
Macdonald polynomials", V.B. Kuznetsov and S. Sahi (eds.), to
appear in Contemporary Mathematics, AMS [math-ph/0511015], MIS0141
Edwin
Langmann, Ari Laptev, Cornelius Paufler, Singular factorizations,
self-adjoint extensions, and applications to quantum many-body
physics, accepted in J.Phys.A: Math.Gen [math-ph/0510046],
MIS0099
Edwin
Langmann, Gauge theory approach towards an explicit solution of
the (Classical) elliptic Calogero-Moser System, in: Special
Issue in Honour of Francesco Calogero on the Occasion of His 70th
Birthday, J. Nonlin. Math. Phys., Vol. 12 Suppl. 1, 423-439 (2005),
MIS0098
F.
Bonechi, A. S. Cattaneo and M. Zabzine, Geometric
quantization and non-perturbative Poisson sigma model,
math.SG/0507223, to appear in Adv. Theor. Math. Phys., MIS0132
Fabijonas,
Bruce R.; Holm, Darryl D. Elliptic instability in the
Lagrangian-averaged Euler-Boussinesq-$\alpha$ equations,Phys.
Fluids 17 (2005), no. 5, 054113, MIS0060
Fantechi,
Barbara; Göttsche, Lothar Local properties and
Hilbert schemes of points. Fundamental
algebraic geometry, 139--178,
Math. Surveys Monogr., 123, Amer.
Math. Soc., Providence, RI,
2005, MIS0205
Feigin,
M., Bispectrality
for deformed Calogero-Moser-Sutherland systems,J. Nonlinear
Math. Phys. 12 (2005), suppl. 2, 95--136, MIS0048
G.
Falqui, F. Musso On Separation of Variables for Homogeneous SL(r)
Gaudin Systems, to appear in Math. Phys. Anal. Geom. , MIS0094
G.
Falqui, M. Pedroni., Gel\'fand-Zakharevich Systems and Algebraic
Integrability: the Volterra Lattice Revisited,
MIS0019-0505018-1.pdf
G.
Falqui, On a Camassa-Holm type equation with two dependent
variables, MIS0020-CH2.pdf
G.
Falqui, Poisson Pencils, Integrability, and Separation of
variables, MIS0003-philtr.pdf
G.
Felder, A.P. Veselov, Coxeter group actions on the complement of
hyperplanes and special involutions, Journal of the European
Mathematical Society, 7 (2005), 101-116, MIS0115
Gibbon,
J. D.; Doering, Charles R. Intermittency and regularity issues in
3D Navier-Stokes turbulence, Arch. Ration. Mech. Anal. 177
(2005), no. 1, 115--150. MIS0053
Gibbon,
J. D.; Titi, E. S. Cluster formation in complex multi-scale
systems,Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 461
(2005), no. 2062, 3089--3097, MIS0054
H.
Boos, M. Jimbo, T. Miwa, F. Smirnov, Y. Takeyama, Traces on the
Sklyanin algebra and correlation functions of the eight-vertex
model, hep-th/0504072. J.Phys. A38 (2005) 7629-7660, MIS0082
Hiroki
Kodama, Peter W. Michor, The homotopy type of the space of degree
0 immersed plane curves, arXiv:math/0509694
Holm,
Darryl D.; Hone, Andrew N. W. A class of equations with peakon
and pulson solutions. With an appendix by H. W. Braden and J.
G. Byatt-Smith,J. Nonlinear Math. Phys. 12 (2005), suppl. 1,
380--394, MIS0061
Holm,
Darryl D.; Marsden, Jerrold E. Momentum maps and
measure-valued solutions (peakons, filaments, and sheets) for the
EPDiff equation. The
breadth of symplectic and Poisson geometry, 203--235,
Progr. Math., 232, Birkhäuser
Boston, Boston, MA,
2005, MIS0200
Holm,
Darryl, The Euler-Poincaré variational framework for
modeling fluid dynamics, Geometric
mechanics and symmetry, 157--209,
London Math. Soc. Lecture Note Ser., 306, Cambridge
Univ. Press, Cambridge,
2005, MIS0199
I.
Kostov and V. Petkova, Non-Rational 2D Quantum Gravity I. World
sheet CFT, hep-th/0512346, MIS0145
J.N.
Elgin, V.Z. Enolski, A.R. Its, Effective integration of the
nonlinear vector Schrodinger equation, to appear, Physica D.,
MIS0180
Johansson,
K., From Gumbel to Tracy-Widom, to appear in Probab. Theory
and Rel. Fields, MIS0102
Johansson,
K., Non-intersecting paths, symmetric random walks and the
extended Hahn kernel, Annales Institut Fourier, 55, (2005),
2129-2145, MIS0101
Johansson,
K., The Arctic circle boundary and the Airy process, Annals
of Probab., 33 (2005) 1-30, MIS0100
Kai
Behrend, Barbara Fantechi, Symmetric obstruction theories and
Hilbert schemes of points on threefolds, MIS0166
L.
Haine, The spectral matrices of Toda solitons and the fundamental
solution of some discrete heat equations, Ann. Inst. Fourier,
Grenoble, Tome 55, 1765-1788 (2005), MIS0191
L.
Martinez Alonso and E. Medina, Exact solutions of integrable 2D
contour dynamics, MIS0009-soldyn.pdf
L.
Martinez Alonso, E. Medina and Manuel Mañas, String
equations in Whitham hierarchies: tau-functions and Virasoro
constraints, MIS0014-Whitham-string-tau.pdf
L.
Samaj, Z. Bajnok, Exactly solvable model of the 2D electrical
double layer, MIS0030-onepoint.pdf
Lionel
Mason, Global anti-self-dual Yang-Mills fields in split signature
and their scattering, math-ph/0505039, to appear in Crelle's
journal, MIS0127
Lionel
Mason, Twistor actions for non-self-dual fields: a new foundation
for twistor-string theory, hep-th/0507269, Published in JHEP
0510 (2005) 043530, MIS0126
M-P.
Grosset and A.P. Veselov, Lame equation, quantum top and elliptic
Bernoulli polynomials, math-ph/0508066. Accepted for publication
in Proc. Edinburgh Math Soc., MIS0119
M.
Adler & P. van Moerbeke, PDE's for the joint distributions of
the Dyson, Airy and Sine processes, Annals of Probability, 33,
1326-1361 (2005), MIS0133
M.
Feigin, A.P. Veselov Coxeter discriminants and logarithmic
Frobenius structures, math-ph/0512095, to appear in Advances in
Mathematics, MIS0049
M.
Mañas., E. Medina and L. Martinez Alonso, On the Whitham
hierarchy: dressing scheme, string equations and additional
symmetries, MIS0015-Dressing-Whitham-JNS.pdf
Maciej
Dunajski, George Sparling, A dispersionless integrable system
associated to Diff$(S^1)$ gauge theory, MIS0008-DS05.pdf
Maciej
Dunajski, Paul Tod, Paraconformal geometry of $n$th order ODEs,
and exotic holonomy in dimension four, MIS0007-node.pdf
Mark
Losik, Peter W. Michor, Vladimir L. Popov, On polarizations in
invariant theory, arXiv:math/0505072
Martin
Hallnäs, Edwin Langmann, Explicit formulas for the
eigenfunctions of the N-body Calogero model, math-ph/0511040,
MIS0153
N.
Beisert, V. Kazakov, K. Sakai, K. Zarembo, Complete
Spectrum of Long Operators in N=4 SYM at One Loop, hep-th/0503200,
JHEP 0507 (2005) 030, MIS0090
P.
Boalch, Higher genus icosahedral Painleve curves,
math.AG/0506407, Funk. Ekvac. (Kobe), to appear, MIS0088
P.
Boalch, Six results on Painleve VI, math.AG/0503043, SMF,
Seminaires et congres, vol 14, to appear, MIS0204
P.
Boalch, Some explicit solutions to the Riemann-Hilbert problem
math.DG/0501464, IRMA Lectures in Mathematics and Theoretical
Physics, to appear, MIS0203
P.
Di Francesco, Boundary qKZ equation and generalized
Razumov-Stroganov sum rules for open IRF models,
math-ph/0509011, J. Stat. Mech.: Theor. Exp. (2005) P09004, MIS0074
P.
Di Francesco, P. Zinn-Justin, From Orbital Varieties to
Alternating Sign Matrices, math-ph/0512047, MIS0143
P.
Di Francesco, P. Zinn-Justin, Quantum Knizhnik-Zamolodchikov
equation, generalized Razumov-Stroganov sum rules and extended
Joseph polynomials, math-ph/0508059 J. Phys. A
38 (2005) L815-L822, MIS0072
Peter
Elbau and Giovanni Felder, Density of eigenvalues of random
normal matrices, MIS0005-RandomNormalMatrices.pdf
Peter
W. Michor, David Mumford, Vanishing geodesic distance on spaces
of submanifolds and diffeomorphisms, arXiv:math/0409303
R.G.
Halburd and R.J. Korhonen, Finite-order meromorphic solutions and
the discrete Painlevé equations, to appear in Proc.London
Math.Soc., MIS0109
Rais
S. Ismagilov, Mark Losik, Peter W. Michor, A 2-cocycle on a group
of symplectomorphisms, arXiv:math/0410100
S.Barannikov,
Modular operads and Batalin-Vilkovisky geometry, preprint MPI
2006-48, IMRN to appear, MIS0087
Sadie
Baldwin, John Gibbons, Higher genus hyperelliptic reductions of
the Benney equations,2004 J. Phys. A: Math. Gen. 37 5341-5354,
MIS0055
Simon
Hochgerner, Armin Rainer, Singular Poisson reduction of cotangent
bundles, MIS0013-poisson1.pdf
Spyridon
Kamvissis, Evguenii Rakhmanov, Existence and Regularity for an
Energy Maximization Problem in Two Dimensions,
MIS0012-energymax.ps
Spyridon
Kamvissis, On Nonlinear Steepest Descent, MIS0011-stmpi.ps
T.
Claeys, A.B.J. Kuijlaars, and M. Vanlessen, Multi-critical
unitary random matrix ensembles and the general Painleve II
equation, MIS0017-multi-critical.pdf
T.
Grava and C. Klein, Numerical solution of the small dispersion
limit of the Korteweg de Vries equation and Whitham equations,
MIS0018-GKKdv.pdf
T.
Kappeler, P. Perry, M. Shubin, P. Topalov, The Miura map on the
line, Intern. Math. Research Notes 50 (2005), 3091 - 3133,
MIS0129
T.
Kappeler, P. Topalov, Global well-posedness of mKdV in L2
(T, R), Comm. in PDE 30 (2005), 435-449, MIS0188
T.
Kappeler, P. Topalov, Riccati map on L2 (T), and its
applications, J. of Math. Anal. and Appl. 309 (2005), 544-566,
MIS0189
Tom
Claeys and Arno B.J. Kuijlaars, Universality of the double
scaling limit in random matrix models,
MIS0004-Claeys-Kuijlaars.pdf
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