Information geometry and sufficient statistics, Probability Theory and Related Fields, vol.37, issue.2 ,
DOI : 10.1007/s00440-014-0574-8
In: Probability Theory and Related Fields, pp.1-38, 2014. ,
Sobolev Metrics on the Manifold of All Riemannian Metrics, Journal of Differential Geometry, vol.94, issue.2, pp.187-208, 2013. ,
DOI : 10.4310/jdg/1367438647
Statistical decision rules and optimal inference Translations of Mathematical Monographs. Translation from the Russian edited by, p.499, 1982. ,
The completion of the manifold of Riemannian metrics, Journal of Differential Geometry, vol.93, issue.2, pp.203-268, 2013. ,
DOI : 10.4310/jdg/1361800866
Conformal deformations of the Ebin metric and a generalized Calabi metric on the space of Riemannian metrics, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.30, issue.2, pp.251-274, 2013. ,
DOI : 10.1016/j.anihpc.2012.07.003
Nahm's Equations and Free???Boundary Problems, pp.71-91, 2010. ,
DOI : 10.1093/acprof:oso/9780199534920.003.0005
On the space of Riemannian metrics, Bulletin of the American Mathematical Society, vol.74, issue.5, pp.1001-1003, 1968. ,
DOI : 10.1090/S0002-9904-1968-12115-9
The manifold of Riemannian metrics, Global Analysis (Proc. Sympos, pp.11-40, 1968. ,
DOI : 10.1090/pspum/015/0267604
The basic geometry of the manifold of Riemannian metrics and of its quotient by the diffeomorphism group., The Michigan Mathematical Journal, vol.36, issue.3, pp.323-344, 1989. ,
DOI : 10.1307/mmj/1029004004
Die Fisher-Information und symplektische Strukturen, Mathematische Nachrichten, vol.114, issue.1, pp.273-296, 1991. ,
DOI : 10.1002/mana.19911530125
THE RIEMANNIAN MANIFOLD OF ALL RIEMANNIAN METRICS, The Quarterly Journal of Mathematics, vol.42, issue.1, pp.183-202, 1991. ,
DOI : 10.1093/qmath/42.1.183
Geometry of Diffeomorphism Groups, Complete integrability and Geometric statistics, Geometric and Functional Analysis, vol.9, issue.1, pp.334-366, 2013. ,
DOI : 10.1007/s00039-013-0210-2
Generalized Hunter?Saxton Equations, Optimal Information Transport , and Factorization of Diffeomorphisms, The Journal of Geometric Analysis, pp.1-29, 2014. ,
On Integrable Generalizations of the Pentagram Map, International Mathematics Research Notices ,
DOI : 10.1093/imrn/rnu044
Integrability of higher pentagram maps, Mathematische Annalen, vol.3, issue.2, pp.1005-1047, 2013. ,
DOI : 10.1007/s00208-013-0922-5
Non-integrability vs. integrability in pentagram maps, Journal of Geometry and Physics, vol.87 ,
DOI : 10.1016/j.geomphys.2014.07.027
URL : http://arxiv.org/abs/1404.6221
The geometry of dented pentagram maps, Journal of the European Mathematical Society, vol.18, issue.1 ,
DOI : 10.4171/JEMS/586
The Pentagram Map: A Discrete Integrable System, Communications in Mathematical Physics, vol.18, issue.5, pp.409-446, 2010. ,
DOI : 10.1007/s00220-010-1075-y
URL : https://hal.archives-ouvertes.fr/hal-00864947
The pentagram map, In: Experiment. Math, vol.1, issue.1, pp.71-81, 1992. ,
URL : https://hal.archives-ouvertes.fr/hal-00864947
Integrability of the pentagram map, Duke Mathematical Journal, vol.162, issue.15, pp.2815-2853, 2013. ,
DOI : 10.1215/00127094-2382228
Topological methods in hydrodynamics Applied Mathematical Sciences, p.374, 1998. ,
Non-linear Grassmannians as coadjoint orbits, Math. Ann. 329, pp.771-785, 2004. ,
DOI : 10.1007/s00208-004-0536-z
URL : http://arxiv.org/abs/math/0305089
Symplectic structures and dynamics on vortex membranes, In: Mosc. Math. J, vol.122, pp.413-434, 2012. ,
Coadjoint orbits, vortices, and Clebsch variables for incompressible fluids Order in chaos, pp.305-323, 1982. ,
Vortex dynamics in R 4, J. Math. Phys, vol.531, issue.21, p.13103, 2012. ,
Theory of reproducing kernels, Transactions of the American Mathematical Society, vol.68, issue.3, pp.337-404, 1950. ,
DOI : 10.1090/S0002-9947-1950-0051437-7
Computing Large Deformation Metric Mappings via Geodesic Flows of Diffeomorphisms, International Journal of Computer Vision, vol.61, issue.2, pp.139-157, 2005. ,
DOI : 10.1023/B:VISI.0000043755.93987.aa
On Completeness of Groups of Diffeomorphisms, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01102814
Curvatures of Sobolev metrics on diffeomorphism groups, Pure and Applied Mathematics Quarterly, vol.9, issue.2, 2011. ,
DOI : 10.4310/PAMQ.2013.v9.n2.a2
Fredholm properties of Riemannian exponential maps on??diffeomorphism groups, English. In: Inventiones mathematicae 179, pp.191-227, 2010. ,
DOI : 10.1007/s00222-009-0217-3
Simultaneous Multiscale Registration using Large Deformation Diffeomorphic Metric Mapping, IEEE Trans. Med. Imaging, 2011. ,
DOI : 10.1109/tmi.2011.2146787
URL : https://hal.archives-ouvertes.fr/hal-00663393
Kernel Bundle EPDiff: Evolution Equations for Multi-Scale Diffeomorphic Image Registration " . In: Scale Space and Variational Methods in Computer Vision, Lecture Notes in Computer Science, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00644965
An Explicit Description of the Reproducing Kernel Hilbert Spaces of Gaussian RBF Kernels, IEEE Transactions on Information Theory, vol.52, issue.10, pp.4635-4643, 2006. ,
DOI : 10.1109/TIT.2006.881713
Shapes and Diffeomorphisms, 2010. ,
DOI : 10.1007/978-3-642-12055-8
The same question can be posed for the space Imm(M, N ) of all immersions ,