Bibliography
Major publications by the team in recent years
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1S. Amari, F. Seyfert, M. Bekheit.
Theory of Coupled Resonator Microwave Bandpass Filters of Arbitrary Bandwidth, in: Microwave Theory and Techniques, IEEE Transactions on, August 2010, vol. 58, no 8, p. 2188 -2203. -
2B. Atfeh, L. Baratchart, J. Leblond, J. R. Partington.
Bounded extremal and Cauchy-Laplace problems on the sphere and shell, in: J. Fourier Anal. Appl., 2010, vol. 16, no 2, p. 177–203, Published online Nov. 2009.
http://dx. doi. org/ 10. 1007/ s00041-009-9110-0 -
3D. Avanessoff, J.-B. Pomet.
Flatness and Monge parameterization of two-input systems, control-affine with 4 states or general with 3 states, in: ESAIM Control Optim. Calc. Var., 2007, vol. 13, no 2, p. 237-264.
http://arxiv. org/ abs/ math/ 0505443 -
4L. Baratchart, A. Ben Abda, F. Ben Hassen, J. Leblond.
Recovery of pointwise sources or small inclusions in 2D domains and rational approximation, in: Inverse Problems, 2005, no 21, p. 51–74. -
5L. Baratchart, J. Grimm, J. Leblond, J. R. Partington.
Approximation and interpolation in : Toeplitz operators, recovery problems and error bounds, in: Integral Equations and Operator Theory, 2003, vol. 45, p. 269–299. -
6L. Baratchart, R. Kuestner, V. Totik.
Zero distributions via orthogonality, in: Annales de l'Institut Fourier, 2005, vol. 55, no 5, p. 1455-1499. -
7L. Baratchart, J. Leblond, J.-P. Marmorat.
Sources identification in 3D balls using meromorphic approximation in 2D disks, in: Electronic Transactions on Numerical Analysis (ETNA), 2006, vol. 25, p. 41–53. -
8L. Baratchart, J. Leblond, S. Rigat, E. Russ.
Hardy spaces of the conjugate Beltrami equation, in: Journal of Functional Analysis, 2010, vol. 259, no 2, p. 384-427.
http://dx. doi. org/ 10. 1016/ j. jfa. 2010. 04. 004, http:// hal. inria. fr/ hal-00401712 -
9L. Baratchart, F. Mandréa, E. B. Saff, F. Wielonsky.
2D inverse problems for the Laplacian: a meromorphic approximation approach, in: Journal de Math. Pures et Appliquées, 2008, vol. 86, p. 1-41. -
10L. Baratchart, M. Olivi.
Critical points and error rank in best matrix rational approximation of fixed McMillan degree, in: Constructive Approximation, 1998, vol. 14, p. 273-300. -
11L. Baratchart, E. B. Saff, F. Wielonsky.
A criterion for uniqueness of a critical point in rational approximation, in: Journal d'Analyse, 1996, vol. 70, p. 225-266. -
12L. Baratchart, F. Seyfert.
An analog to AAK theory for , in: Journal of Functional Analysis, 2002, vol. 191, no 1, p. 52–122. -
13L. Baratchart, M. Yattselev.
Convergent interpolation to Cauchy integrals over analytic arcs, in: Found. Comp. Math., 2009, no 6. -
14L. Baratchart, M. Yattselev.
Convergent Interpolation to Cauchy Integrals over Analytic Arcs with Jacobi-Type Weights, in: International Mathematics Research Notices, 2010, Art. ID rnq 026, pp. 65 p.
http://hal. inria. fr/ hal-00508314 -
15B. Hanzon, M. Olivi, R. Peeters.
Balanced realizations of discrete-time stable all-pass systems and the tangential Schur algorithm, in: Linear Algebra and its Applications, 2006, vol. 418, p. 793-820.
http://dx. doi. org/ 10. 1016/ j. laa. 2006. 09. 029 -
16J.-P. Marmorat, M. Olivi.
Nudelman Interpolation, Parametrization of Lossless Functions and balanced realizations, in: Automatica, 2007, vol. 43, p. 1329–1338.
http://dx. doi. org/ 10. 1016/ j. automatica. 2007. 01. 020
Doctoral Dissertations and Habilitation Theses
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17Y. Fischer.
Approximation des des classes de fonctions analytiques gnralises et rsolution de problmes inverses pour les tokamaks, Univ. Nice Sophia Antipolis, 2011.
http://tel. archives-ouvertes. fr/ tel-00643239/
Articles in International Peer-Reviewed Journal
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18L. Baratchart, S. Kupin, V. Lunot, M. Olivi.
Multipoint Schur algorithm and orthogonal rational functions: convergence properties, I, in: Journal d'Analyse, 2011, vol. 112, p. 207-255.
http://arxiv. org/ abs/ 0812. 2050v3 -
19L. Baratchart, H. Stahl, M. Yattselev.
Weighted extremal domains and rational approximation, in: Advances in Maths, 2012, vol. 229, p. 357-407, available on line as from October 1st, 2011.
http://dx. doi. org/ 10. 1016/ j. aim. 2011. 09. 005 -
20S. Chevillard, J. Harrison, M. Joldeş, C. Lauter.
Efficient and accurate computation of upper bounds of approximation errors, in: Theoretical Computer Science, 2011, vol. 412, no 16, p. 1523–1543.
http://dx. doi. org/ 10. 1016/ j. tcs. 2010. 11. 052 -
21Y. Fischer, J. Leblond, J. R. Partington, E. Sincich.
Bounded extremal problems in Hardy spaces for the conjugate Beltrami equation in simply-connected domain, in: Applied and Computational Harmonic Analysis, 2011, vol. 31, no 2, p. 264-285.
http://hal. inria. fr/ inria-00460820 -
22Y. Fischer, B. Marteau, Y. Privat.
Some inverse problems around the tokamak Tore Supra, in: Communications on Pure and Applied Analysis, 2011, a paraître.
http://hal. inria. fr/ hal-00537648/ en -
23A. Hindawi, L. Rifford, J.-B. Pomet.
Mass transportation with LQ cost functions, in: Acta Applicandae Mathematicae, 2011, vol. 113, no 2, p. 215-229. [ DOI : 10.1007/s10440-010-9595-1 ]
http://hal. inria. fr/ hal-00534083/ en
International Conferences with Proceedings
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24B. Bonnard, M. Chyba, S. J. Glaser, J. Marriott, D. Sugny.
Nuclear Magnetic Resonance: the contrast imaging problem, in: 50th IEEE Conf. on Decision and Control, December 2011. -
25S. Chevillard.
Automatic Generation of Code for the Evaluation of Constant Expressions at Any Precision with a Guaranteed Error Bound, in: 20th IEEE SYMPOSIUM on Computer Arithmetic, Los Alamitos, CA, E. Antelo, D. Hough, P. Ienne (editors), IEEE Computer Society, July 2011, p. 225–232.
http://dx. doi. org/ 10. 1109/ ARITH. 2011. 38 -
26M. Oldoni, F. Seyfert, G. Macchiarella, D. Pacaud.
Deembedding of filters' responses from diplexer measurements, in: Microwave Symposium Digest (MTT), 2011 IEEE MTT-S International, June 2011, p. 1–4.
http://dx. doi. org/ 10. 1109/ MWSYM. 2011. 5973385
Internal Reports
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27A. Bombrun, J.-B. Pomet.
The averaged control system of fast oscillating control systems, INRIA, 2011, Submitted to SIAM J. Control & Optim..
http://hal. inria. fr/ hal-00648330/ -
28B. Bonnard, J.-B. Caillau, G. Janin.
Riemannian Metrics on Two-Spheres and Extensions with Applications to Optimal Control, Institut de Mathématiques de Bourgogne, 2011, no 626, Submitted to ESAIM-COCV.
http://math. u-bourgogne. fr/ IMB/ prepub/ prepub2011/ prep626_BONNARD. pdf -
29B. Bonnard, M. Chyba, J. Marriott.
Singular trajectories and the contrast imaging problem in Nuclear Magnetic Resonance, Institut de Mathématiques de Bourgogne, 2011, no 628, Submitted to SIAM J. Control & Optim..
http://math. u-bourgogne. fr/ IMB/ prepub/ prepub2011/ prep628_BONNARD. pdf -
30M. Clerc, J. Leblond, J.-P. Marmorat, T. Papadopoulo.
Source localization using rational approximation on plane sections, INRIA, 2011, no RR-7704, Submitted.
http://hal. inria. fr/ inria-00613644/ en
Other Publications
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31B. Bonnard, J.-B. Caillau, O. Cots.
Geometric numerical methods in the control imaging problem in nuclear magnetic resonance, 2011, under preparation. -
32S. Chevillard, M. Joldeş, C. Lauter.
User's Manual for the Sollya Tool, Release 3.0, 2011, Available on the web.
http://sollya. gforge. inria. fr/ -
33J. Nemcova, J.-B. Pomet.
Average minimum time for coplanar-to-circular elliptic Keplerian orbit transfer, 2011, under preparation.
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34A. Agrachev, P. Lee.
Optimal transportation under nonholonomic constraints, in: Trans. Amer. Math. Soc., 2009, vol. 361, no 11, p. 6019–6047.
http://dx. doi. org/ 10. 1090/ S0002-9947-09-04813-2 -
35D. Alpay, L. Baratchart, A. Gombani.
On the Differential Structure of Matrix-Valued Rational Inner Functions, in: Operator Theory : Advances and Applications, 1994, vol. 73, p. 30-66. -
36L. Ambrosio, S. Rigot.
Optimal mass transportation in the Heisenberg group, in: J. Funct. Anal., 2004, vol. 208, no 2, p. 261–301.
http://dx. doi. org/ 10. 1016/ S0022-1236(03)00019-3 -
37Z. Artstein.
Stabilization with relaxed control, in: Nonlinear Analysis TMA, 1983, vol. 7, p. 1163-1173. -
38D. Avanessoff, L. Baratchart, J.-B. Pomet.
Sur l'intégrabilité (très) formelle d'une partie des équations de la platitude des systèmes de contrôle, INRIA, December 2003, no 5045.
http://hal. inria. fr/ inria-00071538 -
39D. Avanessoff, M. Olivi, F. Seyfert.
Polynomial structure of reciprocal inner matrices, in: Proceedings of the MTNS, Budapest, Hungary, 2010. -
40L. Baratchart.
On the Rational Approximation of Markov Matrix-Valued Functions, in: Proc. 17th Symposium on Mathematical Theory of Networks and Systems (MTNS), Kyoto, Japon, 2006, p. 180-182. -
41L. Baratchart, M. Cardelli, M. Olivi.
Identification and rational approximation: a gradient algorithm, in: Automatica, 1991, vol. 27, p. 413-418. -
42L. Baratchart, M. Chyba, J.-B. Pomet.
A Grobman-Hartman theorem for control systems, in: J. of Dynamics and Differential Equations, 2007, vol. 19, no 1, p. 75–107.
http://dx. doi. org/ 10. 1007/ s10884-006-9014-5 -
43L. Baratchart, Y. Fischer, J. Leblond.
Dirichlet/Neumann problems and Hardy classes for the planar conductivity equation, 2011, Submitted.
http://arxiv. org/ abs/ 1111. 6776 -
44L. Baratchart, L. Golinskii, S. Kupin.
Multipoint Schur Algorithm II: generalized moment problems, Gaussian processes and prediction, Arxiv Maths 1007, 1363. -
45L. Baratchart, J. Leblond.
Hardy approximation to functions on subsets of the circle with , in: Constructive Approximation, 1998, vol. 14, p. 41-56. -
46L. Baratchart, J. Leblond, F. Mandréa, E. B. Saff.
How can meromorphic approximation help to solve some 2D inverse problems for the Laplacian?, in: Inverse Problems, 1999, vol. 15, p. 79–90. -
47L. Baratchart, J. Leblond, J. R. Partington.
Hardy approximation to functions on subsets of the circle, in: Constructive Approximation, 1996, vol. 12, p. 423-435. -
48L. Baratchart, J. Leblond, F. Seyfert.
Extremal problems of mixed type in of the circle, INRIA, 2009, no RR-7087.
http://fr. arxiv. org/ abs/ 0911. 1441 -
49L. Baratchart, M. Olivi.
Index of critical points in -approximation, in: System and Control Letters, 1988, vol. 10, p. 167–174. -
50L. Baratchart, J.-B. Pomet.
On local linearization of control systems, in: J. of Dynamical and Control Systems, 2009, vol. 15, no 4, p. 471-536. [ DOI : 10.1007/s10883-009-9077-9 ]
http://hal. inria. fr/ inria-00087024 -
51L. Baratchart, H. Stahl, F. Wielonsky.
Asymptotic uniqueness of best rational approximants of given degree to Markov functions in of the circle, in: Constr. Approx., 2001, vol. 17, no 1, p. 103–138. -
52S. Bila, D. Baillargeat, M. Aubourg, S. Verdeyme, P. Guillon, F. Seyfert, J. Grimm, L. Baratchart, C. Zanchi, J. Sombrin.
Direct Electromagnetic Optimization of Microwave Filters, in: IEEE Microwave Magazine, 2001, vol. 1, p. 46-51. -
53J. Blum.
Numerical simulation and optimal control in plasma physics, with applications to Tokamaks, Wiley/Gauthier-Villars, 1989. -
54A. Bombrun.
Les Transferts Orbitaux à Faible Poussée : Optimalité et Feedback, École des Mines de Paris, March 2007. -
55B. Bonnard, L. Rifford, J.-B. Caillau.
Convexity of injectivity domains on the ellipsoid of revolution: The oblate case, in: C. R. Math. Acad. Sci. Paris, 2010, vol. 348, no 23-24, p. 1315–1318.
http://dx. doi. org/ 10. 1016/ j. crma. 2010. 10. 036 -
56Y. Brenier.
Polar factorization and monotone rearrangement of vector-valued functions, in: Comm. Pure Appl. Math., 1991, vol. 44, no 4, p. 375–417.
http://dx. doi. org/ 10. 1002/ cpa. 3160440402 -
57A. Bultheel, P. González-Vera, E. Hendriksen, O. Njåstad.
Orthogonal rational functions, Cambridge University Press, 1999. -
58A. Figalli, L. Rifford.
Mass transportation on sub-Riemannian manifolds, in: Geom. Funct. Anal., 2010, vol. 20, no 1, p. 124–159.
http://dx. doi. org/ 10. 1007/ s00039-010-0053-z -
59M. Fliess, J. Lévine, P. Martin, P. Rouchon.
Flatness and Defect of Nonlinear Systems: Introductory Theory and Examples, in: Internat. J. Control, 1995, vol. 61, no 6, p. 1327-1361.
http://dx. doi. org/ 10. 1080/ 00207179508921959 -
60P. Fulcheri, M. Olivi.
Matrix rational -approximation: a gradient algorithm based on Schur analysis, in: SIAM J. on Control & Optim., 1998, vol. 36, p. 2103-2127. -
61J. B. Garnett.
Bounded analytic functions, Academic Press, 1981. -
62T. Georgiou.
A topological approach to Nevanlinna-Pick interpolation, in: SIAM J. Math. Anal., 1987, p. 1248-1260. -
63A. A. Gonchar, E. A. Rakhmanov.
Equilibrium distributions and degree of rational approximation of analytic functions, in: Math. USSR Sbornik, 1989, vol. 62, no 2. -
64U. Grenander, G. Szegö.
Toeplitz forms, 2, Chelsea, 1984. -
65J. Grimm.
Tralics, a LaTeX to XML translator, Part I, Inria, 2006, no 309-2.
http://hal. inria. fr/ inria-00000198 -
66J. Grimm.
Converting LaTeX to MathML: the Tralics algorithms, INRIA, 2007, no 6373.
http://hal. inria. fr/ inria-00192610/ en/ -
67J. Grimm.
Producing MathML with Tralics, INRIA, 2007, no RR-6181.
http://hal. inria. fr/ inria-00144566/ en/ -
68J. Grimm.
Tralics, a LaTeX to XML translator, Part II, INRIA, 2007, no RT-0310.
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69J. Grimm.
Producing MathML with Tralics, in: DML2010, Towards a Digital Mathematics Library, Masaryk University Press, Brno, Czech Republic, July 2010. -
70T. Iwaniec, G. Martin.
Geometric function theory and non-linear analysis, Oxford Univ. Press, 2001. -
71M. Jaoua, J. Leblond, M. Mahjoub, J. R. Partington.
Robust numerical algorithms based on analytic approximation for the solution of inverse problems in annular domains, in: IMA J. of Applied Mathematics, 2009, vol. 74, p. 481-506.
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72L. V. Kantorovich.
On a problem of Monge, in: Uspekhi mat. Nauka, 1948, vol. 3, p. 225–226, reprinted in J. Math. Sci. (N. Y.) 133 (2006), 1383–1383.
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73J. Leblond, C. Paduret, S. Rigat, M. Zghal.
Sources localisation in ellipsoids by best meromorphic approximation in planar sections, in: Inverse Problems, 2008, vol. 24, no 3, (20p.) p. -
74G. Macchiarella, S. Tamiazzo.
Novel Approach to the Synthesis of Microwave Diplexers, in: IEEE Transactions on Microwave Theory and Techniques, 2006, vol. 54, p. 4281-4290. -
75R. J. McCann.
Polar factorization of maps on Riemannian manifolds, in: Geom. Funct. Anal., 2001, vol. 11, no 3, p. 589–608.
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76G. Monge.
Mémoire sur la théorie des délais et des ramblais, in: Histoire de l'Académie Royale des Sciences, 1781, p. 666-704.
http://gallica. bnf. fr/ ark:/ 12148/ bpt6k35800. image. f796 -
77J.-M. Morel, F. Santambrogio.
Comparison of distances between measures, in: Appl. Math. Lett., 2007, vol. 20, no 4, p. 427–432.
http://dx. doi. org/ 10. 1016/ j. aml. 2006. 05. 009 -
78V. V. Peller.
Hankel Operators and their Applications, Springer, 2003. -
79J.-B. Pomet.
A necessary condition for dynamic equivalence, in: SIAM J. on Control and Optimization, 2009, vol. 48, p. 925-940.
http://dx. doi. org/ 10. 1137/ 080723351, http:// hal. inria. fr/ inria-00277531/ en/ -
80J.-B. Pomet.
Equivalence et linéarisation des systèmes de contrôle, Université de Nice - Sophia Antipolis, October 2009, Habilitation à Diriger des Recherches (HDR).
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81E. B. Saff, V. Totik.
Logarithmic potentials with external fields, Grundlehren der mathematischen Wissenshaften, Springer, 1997, vol. 316. -
82E. M. Stein.
Harmonic Analysis, Princeton University Press, 1993.