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. 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: 177 Publications since 1972, including 9 Books 1 Further Contribution Biographic References: 4 Publications Co-Authors: 22 Co-Authors with 56 Joint Publications 607 Co-Co-Authors 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 2 Yor, Marc 1 Bru, Bernard 1 Doeblin, Wolfgang 1 Föllmer, Hans 1 Iosifescu, Marius 1 Köhler, Kai 1 Kolyada, Sergiǐ Fedorovych 1 Lindvall, Torgny 1 Nummelin, Esa 1 Reznikova, Ida 1 Seneta, Eugene 1 Shen, Shu 1 Soibelman, Yan S. 1 Tsygan, Boris 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) 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) 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 History and biography (01-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 \(K\)-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 135 Publications have been cited 2,928 times in 1,758 Documents Cited by ▼ Year ▼ Conjugate convex functions in optimal stochastic control. Zbl 0276.93060Bismut, Jean-Michel 212 1973 Large deviations and the Malliavin calculus. Zbl 0537.35003Bismut, Jean-Michel 183 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. 163 1988 An introductory approach to duality in optimal stochastic control. Zbl 0378.93049Bismut, Jean-Michel 134 1978 The analysis of elliptic families. I: Metrics and connections on determinant bundles. Zbl 0657.58037Bismut, Jean-Michel; Freed, Daniel S. 122 1986 The analysis of elliptic families. II: Dirac operators, êta invariants, and the holonomy theorem. Zbl 0657.58038Bismut, Jean-Michel; Freed, Daniel S. 115 1986 The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs. Zbl 0592.58047Bismut, Jean-Michel 114 1986 A local index theorem for non-Kähler manifolds. Zbl 0666.58042Bismut, Jean-Michel 113 1989 Martingales, the Malliavin calculus and hypoellipticity under general Hörmander’s conditions. Zbl 0445.60049Bismut, Jean-Michel 113 1981 Linear quadratic optimal stochastic control with random coefficients. Zbl 0331.93086Bismut, Jean-Michel 85 1976 \(\eta\)-invariants and their adiabatic limits. Zbl 0671.58037Bismut, Jean-Michel; Cheeger, Jeff 77 1989 Complex immersions and Quillen metrics. Zbl 0784.32010Bismut, Jean-Michel; Lebeau, Gilles 73 1991 An extension of a theorem by Cheeger and Müller. With an appendix by François Laudenbach. Zbl 0781.58039Bismut, Jean-Michel; Zhang, Weiping 63 1992 Flat vector bundles, direct images and higher real analytic torsion. Zbl 0837.58028Bismut, Jean-Michel; Lott, John 51 1995 The Atiyah-Singer theorems: A probabilistic approach. I: The index theorem. Zbl 0538.58033Bismut, Jean-Michel 50 1984 Calcul des variations stochastique et processus de sauts. Zbl 0494.60082Bismut, Jean-Michel 48 1983 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 Localization formulas, superconnections, and the index theorem for families. Zbl 0602.58042Bismut, J.-M. 39 1986 Index theorem and equivariant cohomology on the loop space. Zbl 0591.58027Bismut, Jean-Michel 37 1985 Théorie probabiliste du contrôle des diffusions. Zbl 0323.93046Bismut, Jean-Michel 36 1976 A generalized formula of Ito and some other properties of stochastic flows. Zbl 0456.60063Bismut, Jean-Michel 36 1981 Mécanique aléatoire. Zbl 0457.60002Bismut, 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. 35 1994 Sur un problème de Dynkin. Zbl 0336.60069Bismut, Jean-Michel 33 1977 The hypoelliptic Laplacian on the cotangent bundle. Zbl 1065.35098Bismut, Jean-Michel 32 2005 Temps d’arret optimal, théorie générale des processus et processus de Markov. Zbl 0342.60036Bismut, Jean-Michel; Skalli, Bernard 31 1977 Diffusions conditionnelles. I. Hypoellipticité partielle. Zbl 0475.60061Bismut, Jean-Michel; Michel, Dominique 31 1981 Hypoelliptic Laplacian and orbital integrals. Zbl 1234.58001Bismut, Jean-Michel 30 2011 The Witten complex and the degenerate Morse inequalities. Zbl 0608.58038Bismut, Jean-Michel 29 1986 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 29 1990 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 The hypoelliptic Laplacian and Ray-Singer metrics. Zbl 1156.58001Bismut, Jean-Michel; Lebeau, Gilles 24 2008 Demailly’s asymptotic Morse inequalities: a heat equation proof. Zbl 0649.58030Bismut, Jean-Michel 24 1987 Equivariant immersions and Quillen metrics. Zbl 0826.32024Bismut, Jean-Michel 24 1995 Intégrales convexes et probabilités. Zbl 0268.60003Bismut, Jean-Michel 23 1973 Mécanique aléatoire. Zbl 0528.60048Bismut, J. M. 22 1982 Families torsion and Morse functions. Zbl 1071.58025Bismut, Jean-Michel; Goette, Sebastian 21 2001 The Atiyah-Singer theorems: A probabilistic approach. II: The Lefschetz fixed point formulas. Zbl 0556.58027Bismut, Jean-Michel 21 1984 Holomorphic families of immersions and higher analytic torsion forms. Zbl 0899.32013Bismut, Jean-Michel 20 1997 Superconnection currents and complex immersions. Zbl 0696.58006Bismut, Jean-Michel 20 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 Families index for manifolds with boundary, superconnections and cones. II: The Chern character. Zbl 0711.53023Bismut, Jean-Michel; Cheeger, Jeff 18 1990 Quillen metrics and higher analytic torsion forms. Zbl 0804.32017Berthomieu, Alain; Bismut, Jean-Michel 13 1994 The infinitesimal Lefschetz formulas: A heat equation proof. Zbl 0572.58021Bismut, Jean-Michel 13 1985 Real embeddings and eta invariants. Zbl 0795.57010Bismut, Jean-Michel; Zhang, Weiping 13 1993 Koszul complexes, harmonic oscillators, and the Todd class. Zbl 0702.58071Bismut, Jean-Michel 13 1990 Contrôle de processus alternants et applications. Zbl 0381.60033Bismut, Jean-Michel 12 1979 Symplectic geometry and the Verlinde formulas. Zbl 0997.53066Bismut, Jean-Michel; Labourie, François 12 1999 Last exit decompositions and regularity at the boundary of transition probabilities. Zbl 0551.60077Bismut, Jean-Michel 12 1985 Asymptotic torsion and Toeplitz operators. Zbl 1381.58015Bismut, Jean-Michel; Ma, Xiaonan; Zhang, Weiping 12 2017 Temps d’arret optimal, quasi-temps d’arret et retournement du temps. Zbl 0432.60052Bismut, Jean-Michel 11 1979 Equivariant de Rham torsions. Zbl 1094.58013Bismut, Jean-Michel; Goette, Sebastian 11 2004 Toeplitz operators and asymptotic analytic torsion. (Opérateurs de Toeplitz et torsion analytique asymptotique.) Zbl 1227.58010Bismut, Jean-Michel; Ma, Xiaonan; Zhang, Weiping 10 2011 Growth and optimal intertemporal allocation of risks. Zbl 1011.91504Bismut, Jean-Michel 9 1975 Eta invariants, differential characters and flat vector bundles. Zbl 1083.58020Bismut, J. M. 9 2005 Diffusions conditionnelles. II. Générateur conditionel. Application au filtrage. Zbl 0475.60062Bismut, Jean-Michel; Michel, Dominique 9 1982 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 8 1978 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 The hypoelliptic Laplacian on the cotangent bundle. (Le laplacien hypoelliptique sur le fibré cotangent.) Zbl 1049.58005Bismut, Jean-Michel 8 2004 Hypoelliptic Laplacian and probability. Zbl 1334.35019Bismut, Jean-Michel 8 2015 Holomorphic immersions and equivariant torsion forms. Zbl 1063.58019Bismut, Jean Michel; Ma, Xiaonan 8 2004 Hypoelliptic Laplacian and Bott-Chern cohomology. A theorem of Riemann-Roch-Grothendieck in complex geometry. Zbl 1273.58001Bismut, Jean-Michel 8 2013 Control of jump processes and applications. Zbl 0391.93036Bismut, Jean-Michel 7 1978 Dualité convexe, temps d’arret optimal et contrôle stochastique. Zbl 0336.60070Bismut, Jean-Michel 7 1977 On optimal control of linear stochastic equations with a linear-quadratic criterion. Zbl 0353.93052Bismut, Jean-Michel 7 1977 Partially observed diffusions and their control. Zbl 0486.93076Bismut, Jean-Michel 7 1982 Holomorphic equivariant analytic torsions. Zbl 0974.58033Bismut, J.-M.; Goette, S. 6 2000 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 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 Equivariant short exact sequences of vector bundles and their analytic torsion forms. Zbl 0817.32014Bismut, Jean-Michel 5 1994 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 The calculus of boundary processes. Zbl 0561.60081Bismut, Jean-Michel 5 1984 Loop spaces and the hypoelliptic Laplacian. Zbl 1147.58038Bismut, Jean-Michel 5 2008 The hypoelliptic Dirac operator. Zbl 1157.58011Bismut, Jean-Michel 5 2008 Duistermaat-Heckman formulas and index theory. Zbl 1267.58015Bismut, Jean-Michel 5 2011 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 Laplacian on a compact Lie group. Zbl 1183.43005Bismut, Jean-Michel 4 2008 Hypoelliptic Laplacian and Bott-Chern cohomology. (Laplacien hypoelliptique et cohomologie de Bott-Chern.) Zbl 1209.58015Bismut, Jean-Michel 4 2011 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 Quillen metrics and singular fibres in arbitrary relative dimension. Zbl 0871.32003Bismut, Jean-Michel 4 1997 Local index theory and higher analytic torsion. Zbl 0982.58016Bismut, Jean-Michel 4 1998 An approximation method in optimal stochastic control. Zbl 0411.93044Bismut, Jean-Michel 4 1978 Flots stochastiques et formule de Ito-Stratonovitch généralisée. Zbl 0428.60067Bismut, Jean-Michel 4 1980 Régularité et continuite des processus. Zbl 0369.60041Bismut, Jean-Michel 4 1978 An example of interaction between information and control: The transparancy of a game. Zbl 0265.90068Bismut, Jean-Michel 4 1973 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 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 Index theory and the hypoelliptic Laplacian. Zbl 1251.35020Bismut, Jean-Michel 4 2012 Bott-Chern currents, excess normal bundles and the Chern character. Zbl 0776.32007Bismut, J.-M. 3 1992 Fibré déterminant et invariant êta. (Determinant bundle and êta invariant). Zbl 0618.58034Bismut, Jean-Michel; Freed, Daniel S. 3 1985 The hypoelliptic Laplacian and analytic torsion. (Laplacien hypoelliptique et torsion analytique.) Zbl 1073.58024Bismut, Jean-Michel; Lebeau, Gilles 3 2005 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 Holomorphic and de Rham torsion. Zbl 1091.58020Bismut, Jean-Michel 3 2004 Probability theory methods in zero-sum stochastic games. Zbl 0358.93031Bismut, Jean-Michel 3 1977 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 12 2017 Hypoelliptic Laplacian and probability. Zbl 1334.35019Bismut, Jean-Michel 8 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 30 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 Loop spaces and the hypoelliptic Laplacian. Zbl 1147.58038Bismut, Jean-Michel 5 2008 The hypoelliptic Dirac operator. Zbl 1157.58011Bismut, Jean-Michel 5 2008 The hypoelliptic Laplacian on a compact Lie group. Zbl 1183.43005Bismut, Jean-Michel 4 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 The hypoelliptic Laplacian on the cotangent bundle. (Le laplacien hypoelliptique sur le fibré cotangent.) Zbl 1049.58005Bismut, Jean-Michel 8 2004 Holomorphic immersions and equivariant torsion forms. Zbl 1063.58019Bismut, Jean Michel; Ma, Xiaonan 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 3 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 21 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 12 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 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 51 1995 Equivariant immersions and Quillen metrics. Zbl 0826.32024Bismut, Jean-Michel 24 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. 35 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 63 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 73 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 29 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 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 Families index for manifolds with boundary, superconnections and cones. II: The Chern character. Zbl 0711.53023Bismut, Jean-Michel; Cheeger, Jeff 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 113 1989 \(\eta\)-invariants and their adiabatic limits. Zbl 0671.58037Bismut, Jean-Michel; Cheeger, Jeff 77 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 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. 163 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 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. 122 1986 The analysis of elliptic families. II: Dirac operators, êta invariants, and the holonomy theorem. Zbl 0657.58038Bismut, Jean-Michel; Freed, Daniel S. 115 1986 The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs. Zbl 0592.58047Bismut, Jean-Michel 114 1986 Localization formulas, superconnections, and the index theorem for families. Zbl 0602.58042Bismut, J.-M. 39 1986 The Witten complex and the degenerate Morse inequalities. Zbl 0608.58038Bismut, Jean-Michel 29 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 37 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 183 1984 The Atiyah-Singer theorems: A probabilistic approach. I: The index theorem. Zbl 0538.58033Bismut, Jean-Michel 50 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 48 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 35 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,517 Authors 68 Bismut, Jean-Michel 32 Léandre, Rémi 29 Ma, Xiaonan 28 Zhang, Weiping 21 Elliott, Robert James 16 Wu, Zhen 15 Siu, Tak Kuen 14 Wang, Feng-Yu 13 Tang, Shanjian 13 Zhang, Xicheng 12 Dai, Xianzhe 12 Hu, Ying 12 Ludwig, Ursula Beate 12 Su, Guangxiang 12 Thalmaier, Anton 11 Marinescu, George 11 Schumacher, Georg 11 Soulé, Christophe 10 Baudoin, Fabrice 10 Biswas, Indranil 10 Fino, Anna 10 Freed, Daniel Stuart 10 Gillet, Henri A. 10 Mathai, Varghese 9 Cheng, Lijuan 9 El Otmani, Mohamed 9 Lott, John 9 Meng, Qingxin 9 Ouknine, Youssef 9 Peng, Shige 9 Piazza, Paolo 9 Shen, Shu 8 Benameur, Moulay-Tahar 8 Cruzeiro, Ana-Bela 8 Freixas i Montplet, Gerard 8 Imkeller, Peter 8 Ivanov, Stefan P. 8 Rochon, Frédéric 8 Wang, Yong 7 Fang, Shizan 7 Kunita, Hiroshi 7 Liu, Bo 7 Liu, Kefeng 7 Nualart, David 7 Paycha, Sylvie 7 Possamaï, Dylan 7 Scott, Simon G. 7 Shi, Jingtao 7 Smilga, Andrei V. 7 Takeuchi, Atsushi 7 Yoshikawa, Ken-Ichi 7 Zheng, Fangyang 6 Albin, Pierre 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 Ji, Shaolin 6 Kohlmann, Michael 6 Malliavin, Paul 6 Mezerdi, Brahim 6 Monnier, Samuel 6 Perkkiö, Ari-Pekka 6 Picard, Jean 6 Savale, Nikhil 6 Shen, Yang 6 Shi, Yufeng 6 Ustunel, Ali Suleyman 6 Vezzoni, Luigi 6 Zhang, Haisen 5 Airault, Hélène 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 Hajli, Mounir 5 Heunis, Andrew J. 5 Igusa, Kiyoshi 5 Kordyukov, Yuri A. 5 Kusuoka, Shigeo 5 Li, Xiang-Dong 5 Luo, Dejun 5 Manev, Mancho Hristov 5 Marzougue, Mohamed 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 Qian, Zhongmin M. ...and 1,417 more Authors all top 5 Cited in 311 Serials 86 Communications in Mathematical Physics 83 Journal of Functional Analysis 69 Stochastic Processes and their Applications 54 Journal of Geometry and Physics 39 Comptes Rendus. 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Probabilités et Statistiques 10 Potential Analysis 9 Letters in Mathematical Physics 9 Automatica 9 Acta Applicandae Mathematicae 9 Communications in Partial Differential Equations 9 Random Operators and Stochastic Equations 9 Journal of Noncommutative Geometry 9 Mathematical Control and Related Fields 9 Probability, Uncertainty and Quantitative Risk 8 Journal für die Reine und Angewandte Mathematik 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Bulletin of the American Mathematical Society. New Series 8 Journal of the European Mathematical Society (JEMS) 7 Journal of the American Mathematical Society 7 Stochastics and Stochastics Reports 7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 7 Journal of Mathematical Sciences (New York) 7 Discrete and Continuous Dynamical Systems 7 Geometry & Topology 7 Infinite Dimensional Analysis, Quantum Probability and Related Topics 7 Journal of Systems Science and Complexity 7 International Journal of Geometric Methods in Modern Physics 6 Reports on Mathematical Physics 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 \(K\)-Theory 6 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 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 Memoirs of the American Mathematical Society 5 MCSS. Mathematics of Control, Signals, and Systems 5 Mathematical Problems in Engineering 5 Finance and Stochastics 5 Acta Mathematica Sinica. English Series 5 Annales Henri Poincaré 5 Journal of \(K\)-Theory 5 Complex Manifolds 4 International Journal of Modern Physics A 4 Acta Mathematica 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Applied Mathematics and Computation 4 Bulletin de la Société Mathématique de France 4 Journal of Economic Theory 4 Mathematische Nachrichten 4 Nagoya Mathematical Journal 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 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 4 Journal of Nonlinear Science 4 Annales Mathématiques Blaise Pascal ...and 211 more Serials all top 5 Cited in 55 Fields 771 Probability theory and stochastic processes (60-XX) 587 Global analysis, analysis on manifolds (58-XX) 309 Systems theory; control (93-XX) 294 Differential geometry (53-XX) 193 Calculus of variations and optimal control; optimization (49-XX) 174 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 165 Several complex variables and analytic spaces (32-XX) 156 Quantum theory (81-XX) 143 Partial differential equations (35-XX) 134 Manifolds and cell complexes (57-XX) 133 Algebraic geometry (14-XX) 81 \(K\)-theory (19-XX) 55 Operator theory (47-XX) 55 Algebraic topology (55-XX) 49 Dynamical systems and ergodic theory (37-XX) 47 Functional analysis (46-XX) 46 Ordinary differential equations (34-XX) 44 Number theory (11-XX) 34 Numerical analysis (65-XX) 34 Operations research, mathematical programming (90-XX) 33 Topological groups, Lie groups (22-XX) 28 Relativity and gravitational theory (83-XX) 23 Measure and integration (28-XX) 23 Statistics (62-XX) 23 Statistical mechanics, structure of matter (82-XX) 22 Functions of a complex variable (30-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Nonassociative rings and algebras (17-XX) 10 Mechanics of particles and systems (70-XX) 8 Fluid mechanics (76-XX) 7 Difference and functional equations (39-XX) 7 Approximations and expansions (41-XX) 7 Biology and other natural sciences (92-XX) 6 Category theory; homological algebra (18-XX) 6 Convex and discrete geometry (52-XX) 5 Real functions (26-XX) 5 Potential theory (31-XX) 5 Abstract harmonic analysis (43-XX) 4 General and overarching topics; collections (00-XX) 4 Mathematical logic and foundations (03-XX) 4 Combinatorics (05-XX) 4 Commutative algebra (13-XX) 3 Group theory and generalizations (20-XX) 3 Special functions (33-XX) 3 Integral equations (45-XX) 3 Mechanics of deformable solids (74-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-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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