Bennequin, Daniel; Belfiore, Jean-Claude Mathematics for AI: categories, toposes, types. (English) Zbl 1485.18003 Heng, Liao (ed.) et al., Mathematics for future computing and communications. Cambridge: Cambridge University Press. 98-132 (2022). MSC: 18B25 68Vxx 68T07 PDFBibTeX XMLCite \textit{D. Bennequin} and \textit{J.-C. Belfiore}, in: Mathematics for future computing and communications. Cambridge: Cambridge University Press. 98--132 (2022; Zbl 1485.18003) Full Text: DOI Link
Belfiore, Jean-Claude; Bennequin, Daniel Topos and Stacks of Deep Neural Networks. arXiv:2106.14587 Preprint, arXiv:2106.14587 [math.AT] (2021). BibTeX Cite \textit{J.-C. Belfiore} and \textit{D. Bennequin}, ``Topos and Stacks of Deep Neural Networks'', Preprint, arXiv:2106.14587 [math.AT] (2021) Full Text: arXiv OA License
Egeileh, Michel; Bennequin, Daniel Superfield equations in the Berezin-Kostant-Leites category. arXiv:2106.12455 Preprint, arXiv:2106.12455 [math-ph] (2021). MSC: 81T60 58A50 53B50 BibTeX Cite \textit{M. Egeileh} and \textit{D. Bennequin}, ``Superfield equations in the Berezin-Kostant-Leites category'', Preprint, arXiv:2106.12455 [math-ph] (2021) Full Text: arXiv OA License
Rudrauf, David; Bennequin, Daniel; Williford, Kenneth The Moon illusion explained by the projective consciousness model. (English) Zbl 1455.91194 J. Theor. Biol. 507, Article ID 110455, 20 p. (2020). MSC: 91E30 PDFBibTeX XMLCite \textit{D. Rudrauf} et al., J. Theor. Biol. 507, Article ID 110455, 20 p. (2020; Zbl 1455.91194) Full Text: DOI arXiv
Bennequin, Daniel; Vigneaux, Juan Pablo A functional equation related to generalized entropies and the modular group. (English) Zbl 1458.94176 Aequationes Math. 94, No. 6, 1201-1212 (2020). MSC: 94A17 94A24 PDFBibTeX XMLCite \textit{D. Bennequin} and \textit{J. P. Vigneaux}, Aequationes Math. 94, No. 6, 1201--1212 (2020; Zbl 1458.94176) Full Text: DOI arXiv
Bennequin, Daniel; Peltre, Olivier; Sergeant-Perthuis, Grégoire; Vigneaux, Juan Pablo Extra-fine sheaves and interaction decompositions. arXiv:2009.12646 Preprint, arXiv:2009.12646 [math.AT] (2020). MSC: 14F05 55N30 55U10 06A11 60B99 BibTeX Cite \textit{D. Bennequin} et al., ``Extra-fine sheaves and interaction decompositions'', Preprint, arXiv:2009.12646 [math.AT] (2020) Full Text: arXiv OA License
Bennequin, Daniel; Gander, Martin J.; Gouarin, Loic; Halpern, Laurence Optimized Schwarz waveform relaxation for advection reaction diffusion equations in two dimensions. (English) Zbl 1356.65225 Numer. Math. 134, No. 3, 513-567 (2016). Reviewer: Marius Ghergu (Dublin) MSC: 65M55 65M15 35L20 65Y05 PDFBibTeX XMLCite \textit{D. Bennequin} et al., Numer. Math. 134, No. 3, 513--567 (2016; Zbl 1356.65225) Full Text: DOI arXiv
Baudot, Pierre; Bennequin, Daniel Topological forms of information. (English) Zbl 1483.81018 Mohammad-Djafari, Ali (ed.) et al., Bayesian inference and maximum entropy methods in science and engineering (MaxEnt 2014), Clos Lucé, Amboise, France, September 21–26, 2014. Melville, NY: American Institute of Physics (AIP). AIP Conf. Proc. 1641, 213-221 (2015). MSC: 81P17 81P45 PDFBibTeX XMLCite \textit{P. Baudot} and \textit{D. Bennequin}, AIP Conf. Proc. 1641, 213--221 (2015; Zbl 1483.81018) Full Text: DOI Link
Marianelli, Prisca; Berthoz, Alain; Bennequin, Daniel Crista egregia: a geometrical model of the crista ampullaris, a sensory surface that detects head rotations. (English) Zbl 1345.92027 Biol. Cybern. 109, No. 1, 5-32 (2015). MSC: 92C10 PDFBibTeX XMLCite \textit{P. Marianelli} et al., Biol. Cybern. 109, No. 1, 5--32 (2015; Zbl 1345.92027) Full Text: DOI
Bennequin, Daniel Remarks on invariance in the primary visual systems of mammals. (English) Zbl 1327.92012 Citti, Giovanna (ed.) et al., Neuromathematics of vision. Berlin: Springer (ISBN 978-3-642-34443-5/hbk; 978-3-642-34444-2/ebook). Lecture Notes in Morphogenesis, 243-333 (2014). MSC: 92C20 62B10 PDFBibTeX XMLCite \textit{D. Bennequin}, in: Neuromathematics of vision. Berlin: Springer. 243--333 (2014; Zbl 1327.92012) Full Text: DOI
Bennequin, Daniel; Egeileh, Michel Supersymmetric field equations from momentum space. arXiv:1407.5506 Preprint, arXiv:1407.5506 [math-ph] (2014). MSC: 81T60 58A50 53B50 BibTeX Cite \textit{D. Bennequin} and \textit{M. Egeileh}, ``Supersymmetric field equations from momentum space'', Preprint, arXiv:1407.5506 [math-ph] (2014) Full Text: arXiv OA License
Dimiccoli, Mariella; Girard, Benoît; Berthoz, Alain; Bennequin, Daniel Striola magica. A functional explanation of otolith geometry. (English) Zbl 1382.92183 J. Comput. Neurosci. 35, No. 2, 125-154 (2013). MSC: 92C99 92-08 PDFBibTeX XMLCite \textit{M. Dimiccoli} et al., J. Comput. Neurosci. 35, No. 2, 125--154 (2013; Zbl 1382.92183) Full Text: DOI HAL
Bennequin, D.; Gander, M. J.; Halpern, L. A homographic best approximation problem with application to optimized Schwarz waveform relaxation. (English) Zbl 1198.65179 Math. Comput. 78, No. 265, 185-223 (2009). MSC: 65M12 65M55 PDFBibTeX XMLCite \textit{D. Bennequin} et al., Math. Comput. 78, No. 265, 185--223 (2009; Zbl 1198.65179) Full Text: DOI
Bennequin, Daniel; Le, Thanh-Tam Representants lagrangiens de l’homologie des surfaces projectives complexes. arXiv:0903.4490 Preprint, arXiv:0903.4490 [math.DG] (2009). MSC: 53D12 53C15 53D35 57R17 57R57 57R95 BibTeX Cite \textit{D. Bennequin} and \textit{T.-T. Le}, ``Representants lagrangiens de l'homologie des surfaces projectives complexes'', Preprint, arXiv:0903.4490 [math.DG] (2009) Full Text: arXiv OA License
Tabareau, Nicolas; Bennequin, Daniel; Berthoz, Alain; Slotine, Jean-Jacques; Girard, Benoît Geometry of the superior colliculus mapping and efficient oculomotor computation. (English) Zbl 1125.92016 Biol. Cybern. 97, No. 4, 279-292 (2007). MSC: 92C20 PDFBibTeX XMLCite \textit{N. Tabareau} et al., Biol. Cybern. 97, No. 4, 279--292 (2007; Zbl 1125.92016) Full Text: DOI HAL
Bennequin, Daniel Dualities of fields and strings [following ‘t Hooft, Polyakov, Witten et al.]. (Dualités de champs et de Cordes [after ‘t Hooft, Polyakov, Witten et al.].) (French) Zbl 1255.81205 Séminaire Bourbaki. Volume 2001/2002. Exposés 894–908. Paris: Société Mathématique de France (ISBN 2-85629-149-X/pbk). Astérisque 290, 117-148, Exp. No. 899 (2003). MSC: 81T30 58E50 81T60 PDFBibTeX XMLCite \textit{D. Bennequin}, Astérisque 290, 117--148, Exp. No. 899 (2003; Zbl 1255.81205) Full Text: Numdam EuDML
Bennequin, Daniel Contemporary invariants. (Invariants contemporains.) (French) Zbl 0999.57031 Dumas, François (ed.) et al., Nouveaux invariants en géométrie et en topologie. Paris: Société Mathématique de France, Panor. Synth. 11, fr (2001). Reviewer: W.Waliszewski (Łódź) MSC: 57R57 81T99 81T30 53C99 PDFBibTeX XMLCite \textit{D. Bennequin}, Panor. Synth. 11, fr (2001; Zbl 0999.57031)
Bennequin, Daniel Seiberg-Witten monopoles and Thom’s conjecture (after Kronheimer, Mrowka and Witten). (Monopôles de Seiberg-Witten et conjecture de Thom (d’après Kronheimer, Mrowka et Witten).) (French) Zbl 0881.57035 Séminaire Bourbaki. Volume 1995/96. Exposés 805–819. Paris: Société Mathématique de France, Astérisque. 241, 59-96, Exp. No. 807 (1997). Reviewer: M.Anastasiei (Iaşi) MSC: 57R57 58J90 57M25 57M50 57R15 14H99 81T13 81T60 PDFBibTeX XMLCite \textit{D. Bennequin}, in: Séminaire Bourbaki. Volume 1995/96. Exposés 805--819. Paris: Société Mathé\-matique de France. 59--96, Exp. No. 807 (1997; Zbl 0881.57035) Full Text: Numdam EuDML
Bennequin, Daniel In memory of Jean-Louis Verdier: In the garden of integrable systems. (Hommage à Jean-Louis Verdier: Au jardin des systèmes intégrables.) (French) Zbl 0876.01040 Babelon, Olivier (ed.) et al., Integrable systems: the Verdier memorial conference. Actes du colloque international de Luminy, France, July 1-5, 1991. Boston, MA: Birkhäuser. Prog. Math. 115, 1-36 (1993). Reviewer: D.Laugwitz (Darmstadt) MSC: 01A65 14-03 37J35 37K10 35Q53 58-03 PDFBibTeX XMLCite \textit{D. Bennequin}, Prog. Math. 115, 1--36 (1993; Zbl 0876.01040)
Bennequin, Daniel The Gordian instanton [after P. B. Kronheimer and T. S. Mrowka]. (L’instanton gordien [d’après P. B. Kronheimer et T. S. Mrowka].) (French) Zbl 0799.57008 Séminaire Bourbaki. Volume 1992/93. Exposés 760-774. Paris: Société Mathématique de France, Astérisque. 216, 233-277 (Exp. No. 770) (1993). Reviewer: P.Teichner (Mainz) MSC: 57N13 57M25 57R57 57R95 PDFBibTeX XMLCite \textit{D. Bennequin}, in: Séminaire Bourbaki. Volume 1992/93. Exposés 760-774 (de 1948/49 à 1992/93). Paris: Société Mathé\-ma\-tique de France. 233--277 (Exp. No. 770) (1993; Zbl 0799.57008) Full Text: Numdam EuDML
Bennequin, Daniel About some contributions of E. Witten to fields of geometry and topology. (En marge de l’apologie de Witten.) (French) Zbl 0749.58015 Gaz. Math., Soc. Math. Fr. 50, 71-93 (1991). Reviewer: L.Nicolaescu (East Lansing) MSC: 58E05 58J20 81Txx PDFBibTeX XMLCite \textit{D. Bennequin}, Gaz. Math., Soc. Math. Fr. 50, 71--93 (1991; Zbl 0749.58015)
Bennequin, Daniel Symplectic topology, holomorphic convexity and contact structures [after Y. Eliashberg, D. McDuff et al.]. (Topologie symplectique, convexité holomorphe et structures de contact [d’après Y. Eliashberg, D. McDuff et al.].) (French) Zbl 0755.32009 Sémin. Bourbaki, Vol. 1989/90, 42ème année, Astérisque 189-190, Exp. No. 725, 285-323 (1990). Reviewer: Stere Ianus (Bucureşti) MSC: 32C99 32E10 53D05 53D10 PDFBibTeX XMLCite \textit{D. Bennequin}, in: The Jones-Witten invariants of knots. . 285--323 (1990; Zbl 0755.32009) Full Text: Numdam EuDML
Bennequin, D. Links and Pfaffian equations. (English. Russian original) Zbl 0705.58003 Russ. Math. Surv. 44, No. 3, 1-65 (1989); translation from Usp. Mat. Nauk 44, No. 3(267), 3-53 (1989). Reviewer: I.Mihut MSC: 58A17 53C15 57R30 PDFBibTeX XMLCite \textit{D. Bennequin}, Russ. Math. Surv. 44, No. 3, 1--65 (1989; Zbl 0705.58003); translation from Usp. Mat. Nauk 44, No. 3(267), 3--53 (1989) Full Text: DOI
Bennequin, Daniel Problèmes elliptiques, surfaces de Riemann et structures symplectiques [d’après M. Gromov]. (Elliptic problems, Riemann surfaces and symplectic structures (according to M. Gromov)). (French) Zbl 0644.53031 Sémin. Bourbaki, 38ème année, Vol. 1985/86, Exp. No. 657, Astérisque 145/146, 111-136 (1987). Reviewer: J.Czyz MSC: 53C15 53-02 37J99 35J99 PDFBibTeX XML Full Text: Numdam EuDML
Bennequin, Daniel Caustique mystique (d’après Arnold et al.). (Mystic caustics). (French) Zbl 0632.58011 Sémin. Bourbaki, 37e année, Vol. 1984/85, Exp. No. 634, Astérisque 133/134, 19-56 (1986). Reviewer: N.Papaghiuc MSC: 58C25 58K99 PDFBibTeX XML Full Text: Numdam EuDML
Bennequin, D. Quelques remarques simples sur la rigidité symplectique. (Des dynamiques lagrangiennes aux dynamiques hamiltoniennes, et du théorème géométrique de Poincaré à celui de Birkhoff.). (French) Zbl 0546.58021 Géométrie symplectique et de contact: autour du théorème de Poincaré-Birkhoff, Journ. lyonnaises Soc. math. France 1983, Sémin. sud-rhodanien Géom. III, 1-50 (1984). Reviewer: T.Ratiu MSC: 37J99 70Hxx PDFBibTeX XML
Bennequin, Daniel Links and Pfaffian equation. (Entrelacements et équations de Pfaff.) (French) Zbl 0573.58022 Astérisque 107/108, 87-161 (1983). MSC: 37C85 57R30 53C15 PDFBibTeX XMLCite \textit{D. Bennequin}, Astérisque 107, 87--161 (1983; Zbl 0573.58022)
Bennequin, Daniel Les bords des revetements ramifies des surfaces (d’apres Titus, Marx et Francis) (1975). (French) Zbl 0434.57006 Centre de Mathematiques de l’Ecole Normale Superieure, Equipe de Recherche associe au C.N.R.S., No. 589. Paris: Secretariat Mathematique de l’Ecole Normale Superieure. 39 p. F 20.00 (1977). MSC: 57M99 57M12 57N35 57R42 PDFBibTeX XML
Bennequin, Daniel Sur les représentants lisses des classes d’homologie entière de codimension 1 des variétés. (French) Zbl 0359.57029 C. R. Acad. Sci., Paris, Sér. A 285, 207-210 (1977). MSC: 57R95 PDFBibTeX XMLCite \textit{D. Bennequin}, C. R. Acad. Sci., Paris, Sér. A 285, 207--210 (1977; Zbl 0359.57029)
Bennequin, Daniel Exemples d’immersions du disque dans le plan qui ne sont pas projections de plongements dans l’espace. (French) Zbl 0307.57001 C. R. Acad. Sci., Paris, Sér. A 281, 81-84 (1975). MSC: 57N05 57N60 57R40 58D10 PDFBibTeX XMLCite \textit{D. Bennequin}, C. R. Acad. Sci., Paris, Sér. A 281, 81--84 (1975; Zbl 0307.57001)