Edit Profile Bismut, Jean-Michel Compute Distance To: Compute Author ID: bismut.jean-michel Published as: Bismut, J-M.; Bismut, J. M.; Bismut, J.-M.; Bismut, Jean Michel; Bismut, Jean-Marie; Bismut, Jean-Michel Homepage: https://www.math.u-psud.fr/~bismut/ External Links: MGP · Math-Net.Ru · Wikidata · GND Documents Indexed: 177 Publications since 1972, including 9 Books Biographic References: 3 Publications all top 5 Co-Authors 122 single-authored 7 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 Skalli, Bernard 1 Köhler, Kai 1 Kolyada, Sergiǐ Fedorovych 1 Reznikova, Ida 1 Shen, Shu 1 Soibelman, Yan S. 1 Tsygan, Boris 1 Yor, Marc 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 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 Compositio Mathematica 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 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 95 Global analysis, analysis on manifolds (58-XX) 56 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) 4 Number theory (11-XX) 4 Algebraic topology (55-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 Potential theory (31-XX) 2 Functional analysis (46-XX) 2 Convex and discrete geometry (52-XX) 1 History and biography (01-XX) 1 \(K\)-theory (19-XX) 1 Topological groups, Lie groups (22-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 137 Publications have been cited 2,810 times in 1,679 Documents Cited by ▼ Year ▼ Conjugate convex functions in optimal stochastic control. Zbl 0276.93060Bismut, Jean-Michel 193 1973 Large deviations and the Malliavin calculus. Zbl 0537.35003Bismut, Jean-Michel 186 1984 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. 150 1988 An introductory approach to duality in optimal stochastic control. Zbl 0378.93049Bismut, Jean-Michel 130 1978 The analysis of elliptic families. I: Metrics and connections on determinant bundles. Zbl 0657.58037Bismut, Jean-Michel; Freed, Daniel S. 117 1986 Martingales, the Malliavin calculus and hypoellipticity under general Hörmander’s conditions. Zbl 0445.60049Bismut, Jean-Michel 111 1981 The analysis of elliptic families. II: Dirac operators, êta invariants, and the holonomy theorem. Zbl 0657.58038Bismut, Jean-Michel; Freed, Daniel S. 109 1986 The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs. Zbl 0592.58047Bismut, Jean-Michel 106 1986 A local index theorem for non-Kähler manifolds. Zbl 0666.58042Bismut, Jean-Michel 105 1989 Linear quadratic optimal stochastic control with random coefficients. Zbl 0331.93086Bismut, Jean-Michel 74 1976 \(\eta\)-invariants and their adiabatic limits. Zbl 0671.58037Bismut, Jean-Michel; Cheeger, Jeff 73 1989 Complex immersions and Quillen metrics. Zbl 0784.32010Bismut, Jean-Michel; Lebeau, Gilles 71 1991 Mécanique aléatoire. Zbl 0457.60002Bismut, Jean-Michel 61 1981 An extension of a theorem by Cheeger and Müller. With an appendix by François Laudenbach. Zbl 0781.58039Bismut, Jean-Michel; Zhang, Weiping 59 1992 The Atiyah-Singer theorems: A probabilistic approach. I: The index theorem. Zbl 0538.58033Bismut, Jean-Michel 52 1984 Calcul des variations stochastique et processus de sauts. Zbl 0494.60082Bismut, Jean-Michel 47 1983 Flat vector bundles, direct images and higher real analytic torsion. Zbl 0837.58028Bismut, Jean-Michel; Lott, John 45 1995 The asymptotics of the Ray-Singer analytic torsion associated with high powers of a positive line bundle. Zbl 0687.32023Bismut, Jean-Michel; Vasserot, Eric 39 1989 Théorie probabiliste du contrôle des diffusions. Zbl 0323.93046Bismut, Jean-Michel 39 1976 Localization formulas, superconnections, and the index theorem for families. Zbl 0602.58042Bismut, J.-M. 38 1986 Index theorem and equivariant cohomology on the loop space. Zbl 0591.58027Bismut, Jean-Michel 36 1985 A generalized formula of Ito and some other properties of stochastic flows. Zbl 0456.60063Bismut, Jean-Michel 36 1981 Milnor and Ray-Singer metrics on the equivariant determinant of a flat vector bundle. Zbl 0830.58030Bismut, J.-M.; Zhang, W. 32 1994 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 31 1990 Diffusions conditionnelles. I. Hypoellipticité partielle. Zbl 0475.60061Bismut, Jean-Michel; Michel, Dominique 31 1981 Sur un problème de Dynkin. Zbl 0336.60069Bismut, Jean-Michel 31 1977 The hypoelliptic Laplacian on the cotangent bundle. Zbl 1065.35098Bismut, Jean-Michel 28 2005 Temps d’arret optimal, théorie générale des processus et processus de Markov. Zbl 0342.60036Bismut, Jean-Michel; Skalli, Bernard 28 1977 The Witten complex and the degenerate Morse inequalities. Zbl 0608.58038Bismut, Jean-Michel 26 1986 Hypoelliptic Laplacian and orbital integrals. Zbl 1234.58001Bismut, Jean-Michel 24 2011 Higher analytic torsion forms for direct images and anomaly formulas. Zbl 0784.32023Bismut, Jean-Michel; Köhler, Kai 24 1992 Complex immersions and Arakelov geometry. Zbl 0744.14015Bismut, Jean-Michel; Gillet, Henri; Soulé, Christophe 24 1990 Demailly’s asymptotic Morse inequalities: a heat equation proof. Zbl 0649.58030Bismut, Jean-Michel 24 1987 Intégrales convexes et probabilités. Zbl 0268.60003Bismut, Jean-Michel 23 1973 The hypoelliptic Laplacian and Ray-Singer metrics. Zbl 1156.58001Bismut, Jean-Michel; Lebeau, Gilles 22 2008 Mécanique aléatoire. Zbl 0528.60048Bismut, J. M. 22 1982 Equivariant immersions and Quillen metrics. Zbl 0826.32024Bismut, Jean-Michel 21 1995 The Atiyah-Singer theorems: A probabilistic approach. II: The Lefschetz fixed point formulas. Zbl 0556.58027Bismut, Jean-Michel 21 1984 Superconnection currents and complex immersions. Zbl 0696.58006Bismut, Jean-Michel 20 1990 Families torsion and Morse functions. Zbl 1071.58025Bismut, Jean-Michel; Goette, Sebastian 19 2001 Families index for manifolds with boundary, superconnections and cones. II: The Chern character. Zbl 0711.53023Bismut, Jean-Michel; Cheeger, Jeff 18 1990 Determinant fiber bundles, Quillen metric and degeneracy of curves. Zbl 0709.32019Bismut, J.-M.; Bost, J.-B. 18 1990 Bott-Chern currents and complex immersions. Zbl 0697.58005Bismut, J.-M.; Gillet, H.; Soulé, C. 18 1990 Holomorphic families of immersions and higher analytic torsion forms. Zbl 0899.32013Bismut, Jean-Michel 17 1997 Koszul complexes, harmonic oscillators, and the Todd class. Zbl 0702.58071Bismut, Jean-Michel 13 1990 The infinitesimal Lefschetz formulas: A heat equation proof. Zbl 0572.58021Bismut, Jean-Michel 13 1985 Contrôle de processus alternants et applications. Zbl 0381.60033Bismut, Jean-Michel 13 1979 Quillen metrics and higher analytic torsion forms. Zbl 0804.32017Berthomieu, Alain; Bismut, Jean-Michel 12 1994 Real embeddings and eta invariants. Zbl 0795.57010Bismut, Jean-Michel; Zhang, Weiping 12 1993 Last exit decompositions and regularity at the boundary of transition probabilities. Zbl 0551.60077Bismut, Jean-Michel 12 1985 Equivariant de Rham torsions. Zbl 1094.58013Bismut, Jean-Michel; Goette, Sebastian 10 2004 Diffusions conditionnelles. II. Générateur conditionel. Application au filtrage. Zbl 0475.60062Bismut, Jean-Michel; Michel, Dominique 10 1982 Temps d’arret optimal, quasi-temps d’arret et retournement du temps. Zbl 0432.60052Bismut, Jean-Michel 10 1979 Contrôle des systèmes linéaires quadratiques: Applications de l’intégrale stochastique. Zbl 0389.93052Bismut, Jean-Michel 10 1978 Eta invariants, differential characters and flat vector bundles. Zbl 1083.58020Bismut, J. M. 9 2005 Symplectic geometry and the Verlinde formulas. Zbl 0997.53066Bismut, Jean-Michel; Labourie, François 9 1999 Equivariant Bott-Chern currents and the Ray-Singer analytic torsion. Zbl 0682.58045Bismut, Jean-Michel 9 1990 Hypoelliptic Laplacian and Bott-Chern cohomology. A theorem of Riemann-Roch-Grothendieck in complex geometry. Zbl 1273.58001Bismut, Jean-Michel 8 2013 The hypoelliptic Laplacian on the cotangent bundle. Zbl 1049.58005Bismut, Jean-Michel 8 2004 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 Growth and optimal intertemporal allocation of risks. Zbl 1011.91504Bismut, Jean-Michel 8 1975 Asymptotic torsion and Toeplitz operators. Zbl 1381.58015Bismut, Jean-Michel; Ma, Xiaonan; Zhang, Weiping 7 2017 Hypoelliptic Laplacian and probability. Zbl 1334.35019Bismut, Jean-Michel 7 2015 Partially observed diffusions and their control. Zbl 0486.93076Bismut, Jean-Michel 7 1982 Control of jump processes and applications. Zbl 0391.93036Bismut, Jean-Michel 7 1978 On optimal control of linear stochastic equations with a linear-quadratic criterion. Zbl 0353.93052Bismut, Jean-Michel 7 1977 Dualité convexe, temps d’arret optimal et contrôle stochastique. Zbl 0336.60070Bismut, Jean-Michel 7 1977 Toeplitz operators and asymptotic analytic torsion. Zbl 1227.58010Bismut, Jean-Michel; Ma, Xiaonan; Zhang, Weiping 6 2011 Holomorphic immersions and equivariant torsion forms. Zbl 1063.58019Bismut, Jean Michel; Ma, Xiaonan 6 2004 Remarks on the index theorem for families of Dirac operators on manifolds with boundary. Zbl 0727.58045Bismut, Jean-Michel; Cheeger, Jeff 6 1991 Immersions complexes et métriques de Quillen. (Complex immersions and Quillen metrics). Zbl 0681.53034Bismut, Jean-Michel; Lebeau, Gilles 6 1989 Transformations différentiables du mouvement brownien. Zbl 0572.60074Bismut, Jean-Michel 6 1985 Hypoelliptic Laplacian and Bott-Chern cohomology. Zbl 1209.58015Bismut, Jean-Michel 5 2011 Loop spaces and the hypoelliptic Laplacian. Zbl 1147.58038Bismut, Jean-Michel 5 2008 Holomorphic equivariant analytic torsions. Zbl 0974.58033Bismut, J.-M.; Goette, S. 5 2000 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 The calculus of boundary processes. Zbl 0561.60081Bismut, Jean-Michel 5 1984 Un problème de contrôle stochastique avec observation partielle. Zbl 0393.60075Bismut, Jean-Michel 5 1979 An example of interaction between information and control: The transparancy of a game. Zbl 0265.90068Bismut, Jean-Michel 5 1973 Index theory and the hypoelliptic Laplacian. Zbl 1251.35020Bismut, Jean-Michel 4 2012 The hypoelliptic Dirac operator. Zbl 1157.58011Bismut, Jean-Michel 4 2008 A deformation of Hodge theory on the cotangent bundle. Zbl 1044.58005Bismut, Jean-Michel 4 2004 Local index theory and higher analytic torsion. Zbl 0982.58016Bismut, Jean-Michel 4 1998 Quillen metrics and singular fibres in arbitrary relative dimension. Zbl 0871.32003Bismut, Jean-Michel 4 1997 Equivariant short exact sequences of vector bundles and their analytic torsion forms. Zbl 0817.32014Bismut, Jean-Michel 4 1994 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 Structure des diffusions conditionnelles et calcul des variations. Zbl 0464.60061Bismut, Jean-Michel; Michel, Dominique 4 1981 Flots stochastiques et formule de Ito-Stratonovitch généralisée. Zbl 0428.60067Bismut, Jean-Michel 4 1980 An approximation method in optimal stochastic control. Zbl 0411.93044Bismut, Jean-Michel 4 1978 Duality methods in the control of densities. Zbl 0393.49013Bismut, Jean-Michel 4 1978 Régularité et continuite des processus. Zbl 0369.60041Bismut, Jean-Michel 4 1978 Duistermaat-Heckman formulas and index theory. Zbl 1267.58015Bismut, Jean-Michel 3 2011 Hypoelliptic Laplacian and orbital integrals. Zbl 1183.58001Bismut, Jean-Michel 3 2009 The hypoelliptic Laplacian on a compact Lie group. Zbl 1183.43005Bismut, Jean-Michel 3 2008 The hypoelliptic Laplacian and analytic torsion. Zbl 1073.58024Bismut, Jean-Michel; Lebeau, Gilles 3 2005 Local index theory, eta invariants and holomorphic torsion: A survey. Zbl 0967.58014Bismut, Jean-Michel 3 1998 On certain infinite dimensional aspects of Arakelov intersection theory. Zbl 0763.53033Bismut, Jean-Michel 3 1992 Complex equivariant intersection, excess normal bundles and Bott-Chern currents. Zbl 0759.53040Bismut, Jean-Michel 3 1992 Bott-Chern currents, excess normal bundles and the Chern character. Zbl 0776.32007Bismut, J.-M. 3 1992 Asymptotic torsion and Toeplitz operators. Zbl 1381.58015Bismut, Jean-Michel; Ma, Xiaonan; Zhang, Weiping 7 2017 Hypoelliptic Laplacian and probability. Zbl 1334.35019Bismut, Jean-Michel 7 2015 Hypoelliptic Laplacian and Bott-Chern cohomology. A theorem of Riemann-Roch-Grothendieck in complex geometry. Zbl 1273.58001Bismut, Jean-Michel 8 2013 Index theory and the hypoelliptic Laplacian. Zbl 1251.35020Bismut, Jean-Michel 4 2012 Hypoelliptic Laplacian and orbital integrals. Zbl 1234.58001Bismut, Jean-Michel 24 2011 Toeplitz operators and asymptotic analytic torsion. Zbl 1227.58010Bismut, Jean-Michel; Ma, Xiaonan; Zhang, Weiping 6 2011 Hypoelliptic Laplacian and Bott-Chern cohomology. Zbl 1209.58015Bismut, Jean-Michel 5 2011 Duistermaat-Heckman formulas and index theory. Zbl 1267.58015Bismut, Jean-Michel 3 2011 Hypoelliptic Laplacian and orbital integrals. Zbl 1183.58001Bismut, Jean-Michel 3 2009 The hypoelliptic Laplacian and Ray-Singer metrics. Zbl 1156.58001Bismut, Jean-Michel; Lebeau, Gilles 22 2008 Loop spaces and the hypoelliptic Laplacian. Zbl 1147.58038Bismut, Jean-Michel 5 2008 The hypoelliptic Dirac operator. Zbl 1157.58011Bismut, Jean-Michel 4 2008 The hypoelliptic Laplacian on a compact Lie group. Zbl 1183.43005Bismut, Jean-Michel 3 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 28 2005 Eta invariants, differential characters and flat vector bundles. Zbl 1083.58020Bismut, J. M. 9 2005 The hypoelliptic Laplacian and analytic torsion. Zbl 1073.58024Bismut, Jean-Michel; Lebeau, Gilles 3 2005 Equivariant de Rham torsions. Zbl 1094.58013Bismut, Jean-Michel; Goette, Sebastian 10 2004 The hypoelliptic Laplacian on the cotangent bundle. Zbl 1049.58005Bismut, Jean-Michel 8 2004 Holomorphic immersions and equivariant torsion forms. Zbl 1063.58019Bismut, Jean Michel; Ma, Xiaonan 6 2004 A deformation of Hodge theory on the cotangent bundle. Zbl 1044.58005Bismut, Jean-Michel 4 2004 Holomorphic and de Rham torsion. Zbl 1091.58020Bismut, Jean-Michel 2 2004 A deformation in families of Hodge-de Rham theory. Zbl 1058.58009Bismut, Jean-Michel 2 2004 The hypoelliptic Laplacian. Zbl 1292.35097Bismut, Jean-Michel 1 2004 Families of equivariant immersions and analytic torsion forms. Zbl 1010.32015Bismut, Jean-Michel; Ma, Xiaonan 1 2002 Families torsion and Morse functions. Zbl 1071.58025Bismut, Jean-Michel; Goette, Sebastian 19 2001 Holomorphic equivariant analytic torsions. Zbl 0974.58033Bismut, J.-M.; Goette, S. 5 2000 Symplectic geometry and the Verlinde formulas. Zbl 0997.53066Bismut, Jean-Michel; Labourie, François 9 1999 Holomorphic equivariant analytical torsions. 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 17 1997 Quillen metrics and singular fibres in arbitrary relative dimension. Zbl 0871.32003Bismut, Jean-Michel 4 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 45 1995 Equivariant immersions and Quillen metrics. Zbl 0826.32024Bismut, Jean-Michel 21 1995 Families of immersions and higher degree analytic torsion forms. 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. 32 1994 Quillen metrics and higher analytic torsion forms. Zbl 0804.32017Berthomieu, Alain; Bismut, Jean-Michel 12 1994 Equivariant short exact sequences of vector bundles and their analytic torsion forms. Zbl 0817.32014Bismut, Jean-Michel 4 1994 Real embeddings and eta invariants. Zbl 0795.57010Bismut, Jean-Michel; Zhang, Weiping 12 1993 From Quillen metrics to Reidemeister metrics: Some aspects of the Ray- Singer analytic torsion. Zbl 0799.58076Bismut, Jean-Michel 1 1993 Equivariant Quillen metrics and complex embeddings. Zbl 0773.53026Bismut, Jean-Michel 1 1993 Flat vector bundles, direct images and analytic torsion forms. Zbl 0780.57023Bismut, Jean-Michel; Lott, John 1 1993 Equivariant short exact sequences of vector bundles and their analytic torsion forms. Zbl 0784.32022Bismut, 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 59 1992 Higher analytic torsion forms for direct images and anomaly formulas. Zbl 0784.32023Bismut, Jean-Michel; Köhler, Kai 24 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 On certain infinite dimensional aspects of Arakelov intersection theory. Zbl 0763.53033Bismut, Jean-Michel 3 1992 Complex equivariant intersection, excess normal bundles and Bott-Chern currents. Zbl 0759.53040Bismut, Jean-Michel 3 1992 Bott-Chern currents, excess normal bundles and the Chern character. Zbl 0776.32007Bismut, J.-M. 3 1992 Complex immersions and Quillen metrics. Zbl 0784.32010Bismut, Jean-Michel; Lebeau, Gilles 71 1991 Remarks on the index theorem for families of Dirac operators on manifolds with boundary. Zbl 0727.58045Bismut, Jean-Michel; Cheeger, Jeff 6 1991 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. (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). Zbl 0743.57014Bismut, Jean-Michel; Zhang, Weiping 1 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 31 1990 Complex immersions and Arakelov geometry. Zbl 0744.14015Bismut, Jean-Michel; Gillet, Henri; Soulé, Christophe 24 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 18 1990 Determinant fiber bundles, Quillen metric and degeneracy of curves. Zbl 0709.32019Bismut, J.-M.; Bost, J.-B. 18 1990 Bott-Chern currents and complex immersions. Zbl 0697.58005Bismut, J.-M.; Gillet, H.; Soulé, C. 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 105 1989 \(\eta\)-invariants and their adiabatic limits. Zbl 0671.58037Bismut, Jean-Michel; Cheeger, Jeff 73 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 39 1989 Immersions complexes et métriques de Quillen. (Complex immersions and Quillen metrics). Zbl 0681.53034Bismut, Jean-Michel; Lebeau, Gilles 6 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 Complexe de Koszul, oscillateur harmonique et classe de Todd. (Koszul complex, harmonic oscillator and the Todd class). Zbl 0673.58043Bismut, Jean-Michel 1 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. 150 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 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 Formules de Lichnerowicz et théorème de l’indice. (Lichnerowicz formulas and index theorem.). Zbl 0648.58033Bismut, Jean-Marie 2 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 Transgressed Chern forms for Dirac operators. Zbl 0646.46067Bismut, Jean-Michel 1 1988 Demailly’s asymptotic Morse inequalities: a heat equation proof. Zbl 0649.58030Bismut, Jean-Michel 24 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. 117 1986 The analysis of elliptic families. II: Dirac operators, êta invariants, and the holonomy theorem. Zbl 0657.58038Bismut, Jean-Michel; Freed, Daniel S. 109 1986 The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs. Zbl 0592.58047Bismut, Jean-Michel 106 1986 Localization formulas, superconnections, and the index theorem for families. Zbl 0602.58042Bismut, J.-M. 38 1986 The Witten complex and the degenerate Morse inequalities. Zbl 0608.58038Bismut, Jean-Michel 26 1986 Probability and geometry. Zbl 0626.58022Bismut, Jean-Michel 1 1986 Index theorem and equivariant cohomology on the loop space. Zbl 0591.58027Bismut, Jean-Michel 36 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 Inégalités de Morse dégénérées et complexe de Witten. ( Degenerate Morse inequalities and Witten’s complex). Zbl 0608.57023Bismut, Jean-Michel 1 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 Large deviations and the Malliavin calculus. Zbl 0537.35003Bismut, Jean-Michel 186 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 21 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 47 1983 Le théorème d’Atiyah-Singer pour les opérateurs elliptiques classiques: une approche probabiliste. Zbl 0539.58034Bismut, Jean-Michel 2 1983 An inequality for processes which satisfy Kolmogorov’s continuity criterion. Application to continuous martingales. Zbl 0524.60020Bismut, J. M.; Yor, M. 2 1983 ...and 37 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,515 Authors 69 Bismut, Jean-Michel 32 Léandre, Rémi 29 Zhang, Weiping 28 Ma, Xiaonan 20 Elliott, Robert James 17 Wang, Feng-Yu 17 Wu, Zhen 15 Siu, Tak Kuen 13 Zhang, Xicheng 12 Dai, Xianzhe 12 Ludwig, Ursula Beate 12 Tang, Shanjian 12 Thalmaier, Anton 11 Cruzeiro, Ana-Bela 11 Marinescu, George 11 Soulé, Christophe 11 Su, Guangxiang 10 Baudoin, Fabrice 10 Gillet, Henri A. 10 Mathai, Varghese 10 Schumacher, Georg 9 Biswas, Indranil 9 Cheng, Lijuan 9 Freed, Daniel Stuart 9 Hu, Ying 9 Lott, John 9 Meng, Qingxin 9 Peng, Shige 8 Fang, Shizan 8 Fino, Anna 8 Imkeller, Peter 8 Ivanov, Stefan P. 8 Piazza, Paolo 8 Wang, Yong 7 Benameur, Moulay-Tahar 7 Kunita, Hiroshi 7 Liu, Kefeng 7 Malliavin, Paul 7 Nualart, David 7 Paycha, Sylvie 7 Qian, Zhongmin M. 7 Shen, Shu 7 Smilga, Andrei V. 6 Bunke, Ulrich 6 Da Prato, Giuseppe 6 Driver, Bruce K. 6 El Otmani, Mohamed 6 Florchinger, Patrick 6 Freixas i Montplet, Gerard 6 Goette, Sebastian 6 Gorokhovsky, Alexander 6 Ho, Man-Ho 6 Ji, Shaolin 6 Kohlmann, Michael 6 Liu, Bo 6 Luo, Dejun 6 Mezerdi, Brahim 6 Monnier, Samuel 6 Ouknine, Youssef 6 Perkkiö, Ari-Pekka 6 Possamaï, Dylan 6 Ren, Jiagang 6 Rochon, Frédéric 6 Scott, Simon G. 6 Shi, Yufeng 6 Takeuchi, Atsushi 6 Ustunel, Ali Suleyman 6 Vezzoni, Luigi 6 Zhang, Haisen 5 Airault, Hélène 5 Albin, Pierre 5 Angella, Daniele 5 Arnaudon, Marc 5 Bahlali, Khaled 5 Ben Arous, Gérard 5 Bost, Jean-Benoît 5 Braverman, Maxim 5 Du, Kai 5 Hairer, Martin 5 Heunis, Andrew J. 5 Igusa, Kiyoshi 5 Kusuoka, Shigeo 5 Li, Xiang-Dong 5 Manev, Mancho Hristov 5 Mazzeo, Rafe R. 5 Michel, Dominique 5 Moore, Gregory Winthrop 5 Morimoto, Hiroaki 5 Nistor, Victor 5 Papageorgiou, Nikolaos S. 5 Pennanen, Teemu 5 Rössler, Damian Charles 5 Sanz-Solé, Marta 5 Savale, Nikhil 5 Shen, Yang 5 Shi, Jingtao 5 Stroock, Daniel W. 5 Ugarte, Luis 5 Wei, Qingmeng 5 Witten, Edward ...and 1,415 more Authors all top 5 Cited in 303 Serials 84 Journal of Functional Analysis 83 Communications in Mathematical Physics 67 Stochastic Processes and their Applications 53 Journal of Geometry and Physics 40 Comptes Rendus. Mathématique. Académie des Sciences, Paris 38 Probability Theory and Related Fields 35 Journal of Mathematical Physics 31 Applied Mathematics and Optimization 28 Advances in Mathematics 27 The Annals of Probability 25 Journal of Mathematical Analysis and Applications 25 Stochastics 25 Stochastic Analysis and Applications 22 Annales de l’Institut Fourier 22 Transactions of the American Mathematical Society 21 Duke Mathematical Journal 20 Proceedings of the American Mathematical Society 20 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 19 Inventiones Mathematicae 19 Mathematische Zeitschrift 18 Systems & Control Letters 17 Science China. 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Quatrième Série 6 \(K\)-Theory 6 Communications in Partial Differential Equations 6 Electronic Journal of Probability 6 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 6 Journal of Systems Science and Complexity 6 Stochastics 6 Afrika Matematika 5 Communications on Pure and Applied Mathematics 5 Israel Journal of Mathematics 5 Reviews in Mathematical Physics 5 Compositio Mathematica 5 Journal of the Mathematical Society of Japan 5 Journal of Multivariate Analysis 5 MCSS. Mathematics of Control, Signals, and Systems 5 Mathematical Problems in Engineering 5 Acta Mathematica Sinica. English Series 5 Journal of \(K\)-Theory 4 International Journal of Modern Physics A 4 Acta Mathematica 4 Bulletin de la Société Mathématique de France 4 Mathematische Nachrichten 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Optimal Control Applications & Methods 4 Chinese Annals of Mathematics. Series B 4 Acta Mathematicae Applicatae Sinica. English Series 4 Journal of Economic Dynamics & Control 4 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 4 Journal of Nonlinear Science 4 St. Petersburg Mathematical Journal 4 Applied Mathematical Finance 4 Finance and Stochastics 4 European Journal of Control 4 Abstract and Applied Analysis 4 Annales Henri Poincaré 4 Algebraic & Geometric Topology ...and 203 more Serials all top 5 Cited in 55 Fields 746 Probability theory and stochastic processes (60-XX) 563 Global analysis, analysis on manifolds (58-XX) 295 Systems theory; control (93-XX) 274 Differential geometry (53-XX) 188 Calculus of variations and optimal control; optimization (49-XX) 165 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 156 Quantum theory (81-XX) 151 Several complex variables and analytic spaces (32-XX) 142 Partial differential equations (35-XX) 128 Manifolds and cell complexes (57-XX) 124 Algebraic geometry (14-XX) 73 \(K\)-theory (19-XX) 51 Operator theory (47-XX) 49 Dynamical systems and ergodic theory (37-XX) 49 Algebraic topology (55-XX) 45 Functional analysis (46-XX) 43 Ordinary differential equations (34-XX) 39 Number theory (11-XX) 36 Operations research, mathematical programming (90-XX) 30 Numerical analysis (65-XX) 29 Relativity and gravitational theory (83-XX) 23 Topological groups, Lie groups (22-XX) 22 Measure and integration (28-XX) 22 Functions of a complex variable (30-XX) 22 Statistics (62-XX) 21 Statistical mechanics, structure of matter (82-XX) 12 Mechanics of particles and systems (70-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Fluid mechanics (76-XX) 9 Nonassociative rings and algebras (17-XX) 6 Category theory; homological algebra (18-XX) 6 Difference and functional equations (39-XX) 6 Convex and discrete geometry (52-XX) 6 Biology and other natural sciences (92-XX) 5 Real functions (26-XX) 5 Potential theory (31-XX) 5 Approximations and expansions (41-XX) 5 Abstract harmonic analysis (43-XX) 4 General and overarching topics; collections (00-XX) 4 Combinatorics (05-XX) 4 Commutative algebra (13-XX) 4 Special functions (33-XX) 3 Mathematical logic and foundations (03-XX) 3 Group theory and generalizations (20-XX) 3 Mechanics of deformable solids (74-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Integral equations (45-XX) 2 Geometry (51-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 General topology (54-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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