Edit Profile (opens in new tab) Bismut, Jean-Michel Compute Distance To: Compute Author ID: bismut.jean-michel Published as: Bismut, Jean-Michel; Bismut, J.-M.; Bismut, J. M.; Bismut, Jean Michel; Bismut, Jean-Marie; Bismut, J-M. more...less Further Spellings: Бисмут Жан-Мишель Homepage: https://www.imo.universite-paris-saclay.fr/~bismut/ External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef · theses.fr Awards: Shaw Prize (2021) Documents Indexed: 178 Publications since 1972, including 9 Books 2 Further Contributions Biographic References: 4 Publications Co-Authors: 22 Co-Authors with 58 Joint Publications 614 Co-Co-Authors all top 5 Co-Authors 122 single-authored 8 Cheeger, Jeff 7 Goette, Sebastian 6 Zhang, Weiping 5 Gillet, Henri A. 5 Soulé, Christophe 4 Lebeau, Gilles 4 Ma, Xiaonan 3 Freed, Daniel Stuart 3 Lott, John 3 Michel, Dominique 3 Vasserot, Eric 2 Berthomieu, Alain 2 Bost, Jean-Benoît 2 Labourie, François 2 Shen, Shu 2 Skalli, Bernard 2 Yor, Marc 1 Bru, Bernard 1 Bryant, Robert L. 1 Doeblin, Wolfgang 1 Donaldson, Simon Kirwan 1 Föllmer, Hans 1 Griffiths, Phillip Augustus 1 Gromov, Mikhael Leonidovich 1 Iosifescu, Marius 1 Köhler, Kai 1 Kolyada, Sergiǐ Fedorovych 1 Laudenbach, François 1 Lawson, Herbert Blaine jun. 1 Lindvall, Torgny 1 Marcus, Adam W. 1 Müller, Werner 1 Nigel Hitchin 1 Nummelin, Esa 1 Reznikova, Ida 1 Seneta, Eugene 1 Soibelman, Yan S. 1 Spielman, Daniel Alan 1 Srivastava, Nikhil 1 Tsygan, Boris 1 Witten, Edward all top 5 Serials 24 Comptes Rendus de l’Académie des Sciences. Série I 14 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 12 Journal of Functional Analysis 12 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 11 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Communications in Mathematical Physics 6 SIAM Journal on Control and Optimization 5 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 4 Journal of the American Mathematical Society 3 Compositio Mathematica 3 Journal of Differential Geometry 3 Mathematische Annalen 3 Geometric and Functional Analysis. GAFA 3 Astérisque 2 Journal of Mathematical Analysis and Applications 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Bulletin de la Société Mathématique de France 2 Inventiones Mathematicae 2 Journal für die Reine und Angewandte Mathematik 2 Journal of Algebraic Geometry 2 Annals of Mathematics Studies 2 Progress in Mathematics 1 Communications on Pure and Applied Mathematics 1 Letters in Mathematical Physics 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 The Annals of Probability 1 Duke Mathematical Journal 1 IEEE Transactions on Automatic Control 1 Publications Mathématiques 1 Journal of Economic Theory 1 Journal of the Mathematical Society of Japan 1 Memoirs of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Chinese Annals of Mathematics. Series B 1 SIAM Review 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Notices of the American Mathematical Society 1 Séminaire Équations aux Dérivées Partielles 1 Documenta Mathematica 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Journal of the Institute of Mathematics of Jussieu 1 SIAM Journal on Control 1 Lecture Notes in Mathematics all top 5 Fields 97 Global analysis, analysis on manifolds (58-XX) 57 Probability theory and stochastic processes (60-XX) 34 Several complex variables and analytic spaces (32-XX) 29 Manifolds and cell complexes (57-XX) 27 Systems theory; control (93-XX) 25 Differential geometry (53-XX) 15 Partial differential equations (35-XX) 10 Algebraic geometry (14-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Number theory (11-XX) 4 Algebraic topology (55-XX) 3 History and biography (01-XX) 3 Operator theory (47-XX) 3 Numerical analysis (65-XX) 3 Mechanics of particles and systems (70-XX) 3 Operations research, mathematical programming (90-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Potential theory (31-XX) 2 Functional analysis (46-XX) 2 Convex and discrete geometry (52-XX) 1 \(K\)-theory (19-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 135 Publications have been cited 3,203 times in 1,857 Documents Cited by ▼ Year ▼ Analytic torsion and holomorphic determinant bundles. I: Bott-Chern forms and analytic torsion. II: Direct images and Bott-Chern forms. III: Quillen metrics on holomorphic determinants. Zbl 0651.32017Bismut, J.-M.; Gillet, H.; Soulé, C. 275 1988 Conjugate convex functions in optimal stochastic control. Zbl 0276.93060Bismut, Jean-Michel 230 1973 Large deviations and the Malliavin calculus. Zbl 0537.35003Bismut, Jean-Michel 192 1984 An introductory approach to duality in optimal stochastic control. Zbl 0378.93049Bismut, Jean-Michel 144 1978 The analysis of elliptic families. I: Metrics and connections on determinant bundles. Zbl 0657.58037Bismut, Jean-Michel; Freed, Daniel S. 130 1986 A local index theorem for non-Kähler manifolds. Zbl 0666.58042Bismut, Jean-Michel 123 1989 The analysis of elliptic families. II: Dirac operators, êta invariants, and the holonomy theorem. Zbl 0657.58038Bismut, Jean-Michel; Freed, Daniel S. 120 1986 The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs. Zbl 0592.58047Bismut, Jean-Michel 117 1986 Martingales, the Malliavin calculus and hypoellipticity under general Hörmander’s conditions. Zbl 0445.60049Bismut, Jean-Michel 115 1981 Linear quadratic optimal stochastic control with random coefficients. Zbl 0331.93086Bismut, Jean-Michel 93 1976 \(\eta\)-invariants and their adiabatic limits. Zbl 0671.58037Bismut, Jean-Michel; Cheeger, Jeff 81 1989 Complex immersions and Quillen metrics. Zbl 0784.32010Bismut, Jean-Michel; Lebeau, Gilles 80 1991 An extension of a theorem by Cheeger and Müller. With an appendix by François Laudenbach. Zbl 0781.58039Bismut, Jean-Michel; Zhang, Weiping 75 1992 Calcul des variations stochastique et processus de sauts. Zbl 0494.60082Bismut, Jean-Michel 54 1983 Flat vector bundles, direct images and higher real analytic torsion. Zbl 0837.58028Bismut, Jean-Michel; Lott, John 53 1995 The Atiyah-Singer theorems: A probabilistic approach. I: The index theorem. Zbl 0538.58033Bismut, Jean-Michel 52 1984 The asymptotics of the Ray-Singer analytic torsion associated with high powers of a positive line bundle. Zbl 0687.32023Bismut, Jean-Michel; Vasserot, Eric 43 1989 Mécanique aléatoire. Zbl 0457.60002Bismut, Jean-Michel 42 1981 Localization formulas, superconnections, and the index theorem for families. Zbl 0602.58042Bismut, J.-M. 41 1986 Théorie probabiliste du contrôle des diffusions. Zbl 0323.93046Bismut, Jean-Michel 40 1976 Index theorem and equivariant cohomology on the loop space. Zbl 0591.58027Bismut, Jean-Michel 39 1985 A generalized formula of Ito and some other properties of stochastic flows. Zbl 0456.60063Bismut, Jean-Michel 38 1981 Milnor and Ray-Singer metrics on the equivariant determinant of a flat vector bundle. Zbl 0830.58030Bismut, J.-M.; Zhang, W. 37 1994 Sur un problème de Dynkin. Zbl 0336.60069Bismut, Jean-Michel 34 1977 Diffusions conditionnelles. I. Hypoellipticité partielle. Zbl 0475.60061Bismut, Jean-Michel; Michel, Dominique 32 1981 Temps d’arret optimal, théorie générale des processus et processus de Markov. Zbl 0342.60036Bismut, Jean-Michel; Skalli, Bernard 32 1977 Hypoelliptic Laplacian and orbital integrals. Zbl 1234.58001Bismut, Jean-Michel 32 2011 The hypoelliptic Laplacian on the cotangent bundle. Zbl 1065.35098Bismut, Jean-Michel 32 2005 Families index for manifolds with boundary, superconnections, and cones. I: Families of manifolds with boundary and Dirac operators. Zbl 0696.53021Bismut, Jean-Michel; Cheeger, Jeff 30 1990 The Witten complex and the degenerate Morse inequalities. Zbl 0608.58038Bismut, Jean-Michel 29 1986 Higher analytic torsion forms for direct images and anomaly formulas. Zbl 0784.32023Bismut, Jean-Michel; Köhler, Kai 27 1992 Complex immersions and Arakelov geometry. Zbl 0744.14015Bismut, Jean-Michel; Gillet, Henri; Soulé, Christophe 26 1990 Demailly’s asymptotic Morse inequalities: a heat equation proof. Zbl 0649.58030Bismut, Jean-Michel 25 1987 Equivariant immersions and Quillen metrics. Zbl 0826.32024Bismut, Jean-Michel 25 1995 Intégrales convexes et probabilités. Zbl 0268.60003Bismut, Jean-Michel 25 1973 Mécanique aléatoire. Zbl 0528.60048Bismut, J. M. 24 1982 The hypoelliptic Laplacian and Ray-Singer metrics. Zbl 1156.58001Bismut, Jean-Michel; Lebeau, Gilles 24 2008 Families torsion and Morse functions. Zbl 1071.58025Bismut, Jean-Michel; Goette, Sebastian 24 2001 The Atiyah-Singer theorems: A probabilistic approach. II: The Lefschetz fixed point formulas. Zbl 0556.58027Bismut, Jean-Michel 23 1984 Superconnection currents and complex immersions. Zbl 0696.58006Bismut, Jean-Michel 20 1990 Holomorphic families of immersions and higher analytic torsion forms. Zbl 0899.32013Bismut, Jean-Michel 20 1997 Families index for manifolds with boundary, superconnections and cones. II: The Chern character. Zbl 0711.53023Bismut, Jean-Michel; Cheeger, Jeff 19 1990 Bott-Chern currents and complex immersions. Zbl 0697.58005Bismut, J.-M.; Gillet, H.; Soulé, C. 18 1990 Determinant fiber bundles, Quillen metric and degeneracy of curves. (Fibrés déterminants, métriques de Quillen et dégénérescence des courbes.) Zbl 0709.32019Bismut, J.-M.; Bost, J.-B. 18 1990 Asymptotic torsion and Toeplitz operators. Zbl 1381.58015Bismut, Jean-Michel; Ma, Xiaonan; Zhang, Weiping 14 2017 The infinitesimal Lefschetz formulas: A heat equation proof. Zbl 0572.58021Bismut, Jean-Michel 13 1985 Koszul complexes, harmonic oscillators, and the Todd class. Zbl 0702.58071Bismut, Jean-Michel 13 1990 Real embeddings and eta invariants. Zbl 0795.57010Bismut, Jean-Michel; Zhang, Weiping 13 1993 Quillen metrics and higher analytic torsion forms. Zbl 0804.32017Berthomieu, Alain; Bismut, Jean-Michel 13 1994 Symplectic geometry and the Verlinde formulas. Zbl 0997.53066Bismut, Jean-Michel; Labourie, François 13 1999 Temps d’arret optimal, quasi-temps d’arret et retournement du temps. Zbl 0432.60052Bismut, Jean-Michel 12 1979 Last exit decompositions and regularity at the boundary of transition probabilities. Zbl 0551.60077Bismut, Jean-Michel 12 1985 Contrôle de processus alternants et applications. Zbl 0381.60033Bismut, Jean-Michel 12 1979 Equivariant de Rham torsions. Zbl 1094.58013Bismut, Jean-Michel; Goette, Sebastian 11 2004 Growth and optimal intertemporal allocation of risks. Zbl 1011.91504Bismut, Jean-Michel 11 1975 Toeplitz operators and asymptotic analytic torsion. (Opérateurs de Toeplitz et torsion analytique asymptotique.) Zbl 1227.58010Bismut, Jean-Michel; Ma, Xiaonan; Zhang, Weiping 10 2011 Holomorphic immersions and equivariant torsion forms. Zbl 1063.58019Bismut, Jean Michel; Ma, Xiaonan 9 2004 Diffusions conditionnelles. II. Générateur conditionel. Application au filtrage. Zbl 0475.60062Bismut, Jean-Michel; Michel, Dominique 9 1982 Eta invariants, differential characters and flat vector bundles. Zbl 1083.58020Bismut, J. M. 9 2005 Equivariant Bott-Chern currents and the Ray-Singer analytic torsion. Zbl 0682.58045Bismut, Jean-Michel 9 1990 Contrôle des systèmes linéaires quadratiques: Applications de l’intégrale stochastique. Zbl 0389.93052Bismut, Jean-Michel 9 1978 Hypoelliptic Laplacian and Bott-Chern cohomology. A theorem of Riemann-Roch-Grothendieck in complex geometry. Zbl 1273.58001Bismut, Jean-Michel 9 2013 Hypoelliptic Laplacian and probability. Zbl 1334.35019Bismut, Jean-Michel 9 2015 The hypoelliptic Laplacian on the cotangent bundle. (Le laplacien hypoelliptique sur le fibré cotangent.) Zbl 1049.58005Bismut, Jean-Michel 8 2004 Partially observed diffusions and their control. Zbl 0486.93076Bismut, Jean-Michel 8 1982 Dualité convexe, temps d’arret optimal et contrôle stochastique. Zbl 0336.60070Bismut, Jean-Michel 8 1977 Transgressed Euler classes of \(SL(2n,\mathbb{Z})\) vector bundles, adiabatic limits of eta invariants and special values of \(L\)-functions. Zbl 0768.58048Bismut, Jean-Michel; Cheeger, Jeff 8 1992 On optimal control of linear stochastic equations with a linear-quadratic criterion. Zbl 0353.93052Bismut, Jean-Michel 7 1977 Control of jump processes and applications. Zbl 0391.93036Bismut, Jean-Michel 7 1978 Transformations différentiables du mouvement brownien. Zbl 0572.60074Bismut, Jean-Michel 6 1985 Immersions complexes et métriques de Quillen. (Complex immersions and Quillen metrics). Zbl 0681.53034Bismut, Jean-Michel; Lebeau, Gilles 6 1989 Régularité et continuite des processus. Zbl 0369.60041Bismut, Jean-Michel 6 1978 Holomorphic equivariant analytic torsions. Zbl 0974.58033Bismut, J.-M.; Goette, S. 6 2000 Flots stochastiques et formule de Ito-Stratonovitch généralisée. Zbl 0428.60067Bismut, Jean-Michel 5 1980 Duistermaat-Heckman formulas and index theory. Zbl 1267.58015Bismut, Jean-Michel 5 2011 The calculus of boundary processes. Zbl 0561.60081Bismut, Jean-Michel 5 1984 The hypoelliptic Laplacian on a compact Lie group. Zbl 1183.43005Bismut, Jean-Michel 5 2008 Duality methods in the control of densities. Zbl 0393.49013Bismut, Jean-Michel 5 1978 Un problème de contrôle stochastique avec observation partielle. Zbl 0393.60075Bismut, Jean-Michel 5 1979 Equivariant short exact sequences of vector bundles and their analytic torsion forms. Zbl 0817.32014Bismut, Jean-Michel 5 1994 Loop spaces and the hypoelliptic Laplacian. Zbl 1147.58038Bismut, Jean-Michel 5 2008 Comportement asymptotique de la torsion analytique associée aux puissances d’un fibré en droites positif. (The asymptotics of the analytic torsion associated with high powers of a positive line bundle). Zbl 0658.32025Bismut, Jean-Michel; Vasserot, Eric 5 1988 Remarks on the index theorem for families of Dirac operators on manifolds with boundary. Zbl 0727.58045Bismut, Jean-Michel; Cheeger, Jeff 5 1991 The hypoelliptic Dirac operator. Zbl 1157.58011Bismut, Jean-Michel 5 2008 Quillen metrics and singular fibres in arbitrary relative dimension. Zbl 0871.32003Bismut, Jean-Michel 5 1997 A deformation of Hodge theory on the cotangent bundle. (Une déformation de la théorie de Hodge sur le fibré cotangent.) Zbl 1044.58005Bismut, Jean-Michel 4 2004 Holomorphic and de Rham torsion. Zbl 1091.58020Bismut, Jean-Michel 4 2004 Index theory and the hypoelliptic Laplacian. Zbl 1251.35020Bismut, Jean-Michel 4 2012 The asymptotics of the Ray-Singer analytic torsion of the symmetric powers of a positive vector bundle. Zbl 0711.32015Bismut, J.-M.; Vasserot, E. 4 1990 Invariants êta et indice des familles pour des variétés à bord. (Eta invariants and index of families for manifolds with boundary). Zbl 0645.58036Bismut, Jean-Michel; Cheeger, Jeff 4 1987 An approximation method in optimal stochastic control. Zbl 0411.93044Bismut, Jean-Michel 4 1978 Hypoelliptic Laplacian and Bott-Chern cohomology. (Laplacien hypoelliptique et cohomologie de Bott-Chern.) Zbl 1209.58015Bismut, Jean-Michel 4 2011 Local index theory and higher analytic torsion. Zbl 0982.58016Bismut, Jean-Michel 4 1998 An example of interaction between information and control: The transparancy of a game. Zbl 0265.90068Bismut, Jean-Michel 4 1973 Structure des diffusions conditionnelles et calcul des variations. Zbl 0464.60061Bismut, Jean-Michel; Michel, Dominique 3 1981 The hypoelliptic Laplacian and analytic torsion. (Laplacien hypoelliptique et torsion analytique.) Zbl 1073.58024Bismut, Jean-Michel; Lebeau, Gilles 3 2005 Hypoelliptic Laplacian and orbital integrals. (Laplacien hypoelliptique et intégrales orbitales.) Zbl 1183.58001Bismut, Jean-Michel 3 2009 Contrôle stochastique, jeux et temps d’arret: Applications de la théorie probabiliste du potentiel. Zbl 0342.60037Bismut, Jean-Michel 3 1977 Probability theory methods in zero-sum stochastic games. Zbl 0358.93031Bismut, Jean-Michel 3 1977 Fibré déterminant et invariant êta. (Determinant bundle and êta invariant). Zbl 0618.58034Bismut, Jean-Michel; Freed, Daniel S. 3 1985 Semi-simple orbital integrals and center of the enveloping algebra. (Intégrales orbitales semi-simples et centre de l’algèbre enveloppante.) Zbl 1436.58020Bismut, Jean-Michel; Shen, Shu 1 2019 Eta invariants and the hypoelliptic Laplacian. Zbl 1479.58020Bismut, Jean-Michel 1 2019 Asymptotic torsion and Toeplitz operators. Zbl 1381.58015Bismut, Jean-Michel; Ma, Xiaonan; Zhang, Weiping 14 2017 Hypoelliptic Laplacian and probability. Zbl 1334.35019Bismut, Jean-Michel 9 2015 Hypoelliptic Laplacian and Bott-Chern cohomology. A theorem of Riemann-Roch-Grothendieck in complex geometry. Zbl 1273.58001Bismut, Jean-Michel 9 2013 Index theory and the hypoelliptic Laplacian. Zbl 1251.35020Bismut, Jean-Michel 4 2012 Hypoelliptic Laplacian and orbital integrals. Zbl 1234.58001Bismut, Jean-Michel 32 2011 Toeplitz operators and asymptotic analytic torsion. (Opérateurs de Toeplitz et torsion analytique asymptotique.) Zbl 1227.58010Bismut, Jean-Michel; Ma, Xiaonan; Zhang, Weiping 10 2011 Duistermaat-Heckman formulas and index theory. Zbl 1267.58015Bismut, Jean-Michel 5 2011 Hypoelliptic Laplacian and Bott-Chern cohomology. (Laplacien hypoelliptique et cohomologie de Bott-Chern.) Zbl 1209.58015Bismut, Jean-Michel 4 2011 Hypoelliptic Laplacian and orbital integrals. (Laplacien hypoelliptique et intégrales orbitales.) Zbl 1183.58001Bismut, Jean-Michel 3 2009 The hypoelliptic Laplacian and Ray-Singer metrics. Zbl 1156.58001Bismut, Jean-Michel; Lebeau, Gilles 24 2008 The hypoelliptic Laplacian on a compact Lie group. Zbl 1183.43005Bismut, Jean-Michel 5 2008 Loop spaces and the hypoelliptic Laplacian. Zbl 1147.58038Bismut, Jean-Michel 5 2008 The hypoelliptic Dirac operator. Zbl 1157.58011Bismut, Jean-Michel 5 2008 A survey of the hypoelliptic Laplacian. Zbl 1180.58001Bismut, Jean-Michel 2 2008 The hypoelliptic Laplacian on the cotangent bundle. Zbl 1065.35098Bismut, Jean-Michel 32 2005 Eta invariants, differential characters and flat vector bundles. Zbl 1083.58020Bismut, J. M. 9 2005 The hypoelliptic Laplacian and analytic torsion. (Laplacien hypoelliptique et torsion analytique.) Zbl 1073.58024Bismut, Jean-Michel; Lebeau, Gilles 3 2005 Equivariant de Rham torsions. Zbl 1094.58013Bismut, Jean-Michel; Goette, Sebastian 11 2004 Holomorphic immersions and equivariant torsion forms. Zbl 1063.58019Bismut, Jean Michel; Ma, Xiaonan 9 2004 The hypoelliptic Laplacian on the cotangent bundle. (Le laplacien hypoelliptique sur le fibré cotangent.) Zbl 1049.58005Bismut, Jean-Michel 8 2004 A deformation of Hodge theory on the cotangent bundle. (Une déformation de la théorie de Hodge sur le fibré cotangent.) Zbl 1044.58005Bismut, Jean-Michel 4 2004 Holomorphic and de Rham torsion. Zbl 1091.58020Bismut, Jean-Michel 4 2004 A deformation in families of Hodge-de Rham theory. (Une déformation en famille du complexe de de Rham-Hodge.) Zbl 1058.58009Bismut, Jean-Michel 2 2004 The hypoelliptic Laplacian. (Le laplacien hypoelliptique.) Zbl 1292.35097Bismut, Jean-Michel 1 2004 Families torsion and Morse functions. Zbl 1071.58025Bismut, Jean-Michel; Goette, Sebastian 24 2001 Holomorphic equivariant analytic torsions. Zbl 0974.58033Bismut, J.-M.; Goette, S. 6 2000 Symplectic geometry and the Verlinde formulas. Zbl 0997.53066Bismut, Jean-Michel; Labourie, François 13 1999 Holomorphic equivariant analytical torsions. (Torsions analytiques équivariantes holomorphes.) Zbl 0952.53034Bismut, Jean-Michel; Goette, Sebastian 1 1999 Local index theory and higher analytic torsion. Zbl 0982.58016Bismut, Jean-Michel 4 1998 Local index theory, eta invariants and holomorphic torsion: A survey. Zbl 0967.58014Bismut, Jean-Michel 3 1998 Holomorphic families of immersions and higher analytic torsion forms. Zbl 0899.32013Bismut, Jean-Michel 20 1997 Quillen metrics and singular fibres in arbitrary relative dimension. Zbl 0871.32003Bismut, Jean-Michel 5 1997 Torus bundles and the group cohomology of \(GL(N,\mathbb{Z})\). Zbl 0902.57028Bismut, Jean-Michel; Lott, John 1 1997 Flat vector bundles, direct images and higher real analytic torsion. Zbl 0837.58028Bismut, Jean-Michel; Lott, John 53 1995 Equivariant immersions and Quillen metrics. Zbl 0826.32024Bismut, Jean-Michel 25 1995 Families of immersions and higher degree analytic torsion forms. (Familles d’immersions et formes de torsion analytique en degré supérieur.) Zbl 0844.32010Bismut, Jean-Michel 2 1995 Milnor and Ray-Singer metrics on the equivariant determinant of a flat vector bundle. Zbl 0830.58030Bismut, J.-M.; Zhang, W. 37 1994 Quillen metrics and higher analytic torsion forms. Zbl 0804.32017Berthomieu, Alain; Bismut, Jean-Michel 13 1994 Equivariant short exact sequences of vector bundles and their analytic torsion forms. Zbl 0817.32014Bismut, Jean-Michel 5 1994 Real embeddings and eta invariants. Zbl 0795.57010Bismut, Jean-Michel; Zhang, Weiping 13 1993 From Quillen metrics to Reidemeister metrics: Some aspects of the Ray- Singer analytic torsion. Zbl 0799.58076Bismut, Jean-Michel 1 1993 Equivariant short exact sequences of vector bundles and their analytic torsion forms. (Torsion analytique équivariante d’une suite exacte courte de fibrés holomorphes.) Zbl 0784.32022Bismut, Jean-Michel 1 1993 Flat vector bundles, direct images and analytic torsion forms. (Fibrés plats, images directes et formes de torsion analytique.) Zbl 0780.57023Bismut, Jean-Michel; Lott, John 1 1993 Equivariant Quillen metrics and complex embeddings. (Métriques de Quillen équivariantes et plongements complexes.) Zbl 0773.53026Bismut, Jean-Michel 1 1993 An extension of a theorem by Cheeger and Müller. With an appendix by François Laudenbach. Zbl 0781.58039Bismut, Jean-Michel; Zhang, Weiping 75 1992 Higher analytic torsion forms for direct images and anomaly formulas. Zbl 0784.32023Bismut, Jean-Michel; Köhler, Kai 27 1992 Transgressed Euler classes of \(SL(2n,\mathbb{Z})\) vector bundles, adiabatic limits of eta invariants and special values of \(L\)-functions. Zbl 0768.58048Bismut, Jean-Michel; Cheeger, Jeff 8 1992 Bott-Chern currents, excess normal bundles and the Chern character. Zbl 0776.32007Bismut, J.-M. 3 1992 Complex equivariant intersection, excess normal bundles and Bott-Chern currents. Zbl 0759.53040Bismut, Jean-Michel 3 1992 On certain infinite dimensional aspects of Arakelov intersection theory. Zbl 0763.53033Bismut, Jean-Michel 3 1992 Complex immersions and Quillen metrics. Zbl 0784.32010Bismut, Jean-Michel; Lebeau, Gilles 80 1991 Remarks on the index theorem for families of Dirac operators on manifolds with boundary. Zbl 0727.58045Bismut, Jean-Michel; Cheeger, Jeff 5 1991 Reidemeister metrics and Ray-Singer metrics on the determinant of the cohomology of a flat bundle: an extension of a result of Cheeger and Müller. (Métriques de Reidemeister et métriques de Ray-Singer sur le déterminant de la cohomologie d’un fibré plat: Une extension d’un résultat de Cheeger et Müller.) Zbl 0743.57014Bismut, Jean-Michel; Zhang, Weiping 3 1991 Families index for manifolds with boundary, superconnections, and cones. I: Families of manifolds with boundary and Dirac operators. Zbl 0696.53021Bismut, Jean-Michel; Cheeger, Jeff 30 1990 Complex immersions and Arakelov geometry. Zbl 0744.14015Bismut, Jean-Michel; Gillet, Henri; Soulé, Christophe 26 1990 Superconnection currents and complex immersions. Zbl 0696.58006Bismut, Jean-Michel 20 1990 Families index for manifolds with boundary, superconnections and cones. II: The Chern character. Zbl 0711.53023Bismut, Jean-Michel; Cheeger, Jeff 19 1990 Bott-Chern currents and complex immersions. Zbl 0697.58005Bismut, J.-M.; Gillet, H.; Soulé, C. 18 1990 Determinant fiber bundles, Quillen metric and degeneracy of curves. (Fibrés déterminants, métriques de Quillen et dégénérescence des courbes.) Zbl 0709.32019Bismut, J.-M.; Bost, J.-B. 18 1990 Koszul complexes, harmonic oscillators, and the Todd class. Zbl 0702.58071Bismut, Jean-Michel 13 1990 Equivariant Bott-Chern currents and the Ray-Singer analytic torsion. Zbl 0682.58045Bismut, Jean-Michel 9 1990 The asymptotics of the Ray-Singer analytic torsion of the symmetric powers of a positive vector bundle. Zbl 0711.32015Bismut, J.-M.; Vasserot, E. 4 1990 Eta invariants and complex immersions. Zbl 0721.58057Bismut, Jean-Michel 1 1990 A local index theorem for non-Kähler manifolds. Zbl 0666.58042Bismut, Jean-Michel 123 1989 \(\eta\)-invariants and their adiabatic limits. Zbl 0671.58037Bismut, Jean-Michel; Cheeger, Jeff 81 1989 The asymptotics of the Ray-Singer analytic torsion associated with high powers of a positive line bundle. Zbl 0687.32023Bismut, Jean-Michel; Vasserot, Eric 43 1989 Immersions complexes et métriques de Quillen. (Complex immersions and Quillen metrics). Zbl 0681.53034Bismut, Jean-Michel; Lebeau, Gilles 6 1989 Complexe de Koszul, oscillateur harmonique et classe de Todd. (Koszul complex, harmonic oscillator and the Todd class). Zbl 0673.58043Bismut, Jean-Michel 2 1989 Le théorème d’indice local pour des variétés non kählériennes. (The local index theorem for non Kähler manifolds). Zbl 0661.53050Bismut, Jean-Michel 2 1989 Analytic torsion and holomorphic determinant bundles. I: Bott-Chern forms and analytic torsion. II: Direct images and Bott-Chern forms. III: Quillen metrics on holomorphic determinants. Zbl 0651.32017Bismut, J.-M.; Gillet, H.; Soulé, C. 275 1988 Comportement asymptotique de la torsion analytique associée aux puissances d’un fibré en droites positif. (The asymptotics of the analytic torsion associated with high powers of a positive line bundle). Zbl 0658.32025Bismut, Jean-Michel; Vasserot, Eric 5 1988 Formules de Lichnerowicz et théorème de l’indice. (Lichnerowicz formulas and index theorem.). Zbl 0648.58033Bismut, Jean-Marie 2 1988 Localisation du caractère de Chern en géométrie complexe et superconnexions. (Localization of the Chern character in complex geometry and superconnections). Zbl 0652.32020Bismut, Jean-Michel 2 1988 Transgressed Chern forms for Dirac operators. Zbl 0646.46067Bismut, Jean-Michel 1 1988 Classes caractéristiques secondaires et immersions en géométrie complexe. (Secondary characteristic classes and immersions in complex geometry). Zbl 0655.57012Bismut, Jean-Michel; Gillet, Henri; Soulé, Christophe 1 1988 Demailly’s asymptotic Morse inequalities: a heat equation proof. Zbl 0649.58030Bismut, Jean-Michel 25 1987 Invariants êta et indice des familles pour des variétés à bord. (Eta invariants and index of families for manifolds with boundary). Zbl 0645.58036Bismut, Jean-Michel; Cheeger, Jeff 4 1987 Torsion analytique et fibrés déterminants holomorphes. (Analytic torsion and holomorphic determinant bundles). Zbl 0617.32042Bismut, Jean-Michel; Gillet, Henri; Soulé, Christophe 1 1987 The analysis of elliptic families. I: Metrics and connections on determinant bundles. Zbl 0657.58037Bismut, Jean-Michel; Freed, Daniel S. 130 1986 The analysis of elliptic families. II: Dirac operators, êta invariants, and the holonomy theorem. Zbl 0657.58038Bismut, Jean-Michel; Freed, Daniel S. 120 1986 The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs. Zbl 0592.58047Bismut, Jean-Michel 117 1986 Localization formulas, superconnections, and the index theorem for families. Zbl 0602.58042Bismut, J.-M. 41 1986 The Witten complex and the degenerate Morse inequalities. Zbl 0608.58038Bismut, Jean-Michel 29 1986 Probability and geometry. Zbl 0626.58022Bismut, Jean-Michel 2 1986 Index theorem and equivariant cohomology on the loop space. Zbl 0591.58027Bismut, Jean-Michel 39 1985 The infinitesimal Lefschetz formulas: A heat equation proof. Zbl 0572.58021Bismut, Jean-Michel 13 1985 Last exit decompositions and regularity at the boundary of transition probabilities. Zbl 0551.60077Bismut, Jean-Michel 12 1985 Transformations différentiables du mouvement brownien. Zbl 0572.60074Bismut, Jean-Michel 6 1985 Fibré déterminant et invariant êta. (Determinant bundle and êta invariant). Zbl 0618.58034Bismut, Jean-Michel; Freed, Daniel S. 3 1985 Le théorème de l’indice des familles: une démonstration par l’équation de la chaleur. (On the index theorem for families: a proof by the heat equation). Zbl 0589.58025Bismut, Jean-Michel 1 1985 Inégalités de Morse dégénérées et complexe de Witten. ( Degenerate Morse inequalities and Witten’s complex). Zbl 0608.57023Bismut, Jean-Michel 1 1985 Large deviations and the Malliavin calculus. Zbl 0537.35003Bismut, Jean-Michel 192 1984 The Atiyah-Singer theorems: A probabilistic approach. I: The index theorem. Zbl 0538.58033Bismut, Jean-Michel 52 1984 The Atiyah-Singer theorems: A probabilistic approach. II: The Lefschetz fixed point formulas. Zbl 0556.58027Bismut, Jean-Michel 23 1984 The calculus of boundary processes. Zbl 0561.60081Bismut, Jean-Michel 5 1984 On the set of zeros of certain semi-martingales. Zbl 0543.60047Bismut, Jean-Michel 1 1984 Calcul des variations stochastique et processus de sauts. Zbl 0494.60082Bismut, Jean-Michel 54 1983 Le théorème d’Atiyah-Singer pour les opérateurs elliptiques classiques: une approche probabiliste. Zbl 0539.58034Bismut, Jean-Michel 2 1983 ...and 35 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,625 Authors 69 Bismut, Jean-Michel 32 Léandre, Rémi 32 Ma, Xiaonan 29 Zhang, Weiping 21 Elliott, Robert James 17 Wu, Zhen 15 Dai, Xianzhe 15 Siu, Tak Kuen 15 Wang, Feng-Yu 14 Tang, Shanjian 13 Hu, Ying 13 Ludwig, Ursula Beate 13 Marinescu, George 13 Su, Guangxiang 13 Zhang, Xicheng 12 Fino, Anna 12 Thalmaier, Anton 11 Baudoin, Fabrice 11 Biswas, Indranil 11 Schumacher, Georg 11 Soulé, Christophe 10 Cruzeiro, Ana-Bela 10 El Otmani, Mohamed 10 Freed, Daniel Stuart 10 Gillet, Henri A. 10 Mathai, Varghese 10 Ouknine, Youssef 10 Peng, Shige 10 Piazza, Paolo 10 Shen, Shu 9 Cheng, Lijuan 9 Lott, John 9 Meng, Qingxin 9 Rochon, Frédéric 9 Zheng, Fangyang 8 Benameur, Moulay-Tahar 8 Freixas i Montplet, Gerard 8 Imkeller, Peter 8 Ivanov, Stefan P. 8 Ji, Shaolin 8 Wang, Yong 7 Albin, Pierre 7 Fang, Shizan 7 Kunita, Hiroshi 7 Liu, Bo 7 Liu, Kefeng 7 Nualart, David 7 Paycha, Sylvie 7 Perkkiö, Ari-Pekka 7 Possamaï, Dylan 7 Scott, Simon G. 7 Shi, Jingtao 7 Smilga, Andrei V. 7 Takeuchi, Atsushi 7 Yoshikawa, Ken-Ichi 7 Zhang, Xu 6 Ben Arous, Gérard 6 Bunke, Ulrich 6 Da Prato, Giuseppe 6 Driver, Bruce K. 6 Florchinger, Patrick 6 Goette, Sebastian 6 Gorokhovsky, Alexander 6 Güneysu, Batu 6 Ho, Man-Ho 6 Kohlmann, Michael 6 Liu, Bin 6 Malliavin, Paul 6 Marzougue, Mohamed 6 Mezerdi, Brahim 6 Monnier, Samuel 6 Pennanen, Teemu 6 Picard, Jean 6 Russo, Francesco 6 Savale, Nikhil 6 Shen, Yang 6 Shi, Yufeng 6 Sun, Jingrui 6 Ustunel, Ali Suleyman 6 Vezzoni, Luigi 6 Yang, Shuzhen 6 Yong, Jiongmin 6 Zhang, Haisen 6 Zhang, Huanshui 5 Airault, Hélène 5 Angella, Daniele 5 Arnaudon, Marc 5 Bahlali, Khaled 5 Bost, Jean-Benoît 5 Braverman, Maxim 5 Du, Kai 5 Finski, Siarhei 5 Hairer, Martin 5 Hajli, Mounir 5 Haller, Stefan 5 Heunis, Andrew J. 5 Igusa, Kiyoshi 5 Kordyukov, Yuri A. 5 Kulik, Alexey M. 5 Kusuoka, Shigeo ...and 1,525 more Authors all top 5 Cited in 319 Serials 86 Communications in Mathematical Physics 85 Journal of Functional Analysis 70 Stochastic Processes and their Applications 54 Journal of Geometry and Physics 41 Probability Theory and Related Fields 39 Comptes Rendus. 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