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Bismut, Jean-Michel

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Author ID: bismut.jean-michel Recent zbMATH articles by "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
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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

Publications by Year

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 0276.93060
Bismut, Jean-Michel
193
1973
Large deviations and the Malliavin calculus. Zbl 0537.35003
Bismut, 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 0651.32017
Bismut, J.-M.; Gillet, H.; Soulé, C.
150
1988
An introductory approach to duality in optimal stochastic control. Zbl 0378.93049
Bismut, Jean-Michel
130
1978
The analysis of elliptic families. I: Metrics and connections on determinant bundles. Zbl 0657.58037
Bismut, Jean-Michel; Freed, Daniel S.
117
1986
Martingales, the Malliavin calculus and hypoellipticity under general Hörmander’s conditions. Zbl 0445.60049
Bismut, Jean-Michel
111
1981
The analysis of elliptic families. II: Dirac operators, êta invariants, and the holonomy theorem. Zbl 0657.58038
Bismut, Jean-Michel; Freed, Daniel S.
109
1986
The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs. Zbl 0592.58047
Bismut, Jean-Michel
106
1986
A local index theorem for non-Kähler manifolds. Zbl 0666.58042
Bismut, Jean-Michel
105
1989
Linear quadratic optimal stochastic control with random coefficients. Zbl 0331.93086
Bismut, Jean-Michel
74
1976
\(\eta\)-invariants and their adiabatic limits. Zbl 0671.58037
Bismut, Jean-Michel; Cheeger, Jeff
73
1989
Complex immersions and Quillen metrics. Zbl 0784.32010
Bismut, Jean-Michel; Lebeau, Gilles
71
1991
Mécanique aléatoire. Zbl 0457.60002
Bismut, Jean-Michel
61
1981
An extension of a theorem by Cheeger and Müller. With an appendix by François Laudenbach. Zbl 0781.58039
Bismut, Jean-Michel; Zhang, Weiping
59
1992
The Atiyah-Singer theorems: A probabilistic approach. I: The index theorem. Zbl 0538.58033
Bismut, Jean-Michel
52
1984
Calcul des variations stochastique et processus de sauts. Zbl 0494.60082
Bismut, Jean-Michel
47
1983
Flat vector bundles, direct images and higher real analytic torsion. Zbl 0837.58028
Bismut, Jean-Michel; Lott, John
45
1995
The asymptotics of the Ray-Singer analytic torsion associated with high powers of a positive line bundle. Zbl 0687.32023
Bismut, Jean-Michel; Vasserot, Eric
39
1989
Théorie probabiliste du contrôle des diffusions. Zbl 0323.93046
Bismut, Jean-Michel
39
1976
Localization formulas, superconnections, and the index theorem for families. Zbl 0602.58042
Bismut, J.-M.
38
1986
Index theorem and equivariant cohomology on the loop space. Zbl 0591.58027
Bismut, Jean-Michel
36
1985
A generalized formula of Ito and some other properties of stochastic flows. Zbl 0456.60063
Bismut, Jean-Michel
36
1981
Milnor and Ray-Singer metrics on the equivariant determinant of a flat vector bundle. Zbl 0830.58030
Bismut, 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 0696.53021
Bismut, Jean-Michel; Cheeger, Jeff
31
1990
Diffusions conditionnelles. I. Hypoellipticité partielle. Zbl 0475.60061
Bismut, Jean-Michel; Michel, Dominique
31
1981
Sur un problème de Dynkin. Zbl 0336.60069
Bismut, Jean-Michel
31
1977
The hypoelliptic Laplacian on the cotangent bundle. Zbl 1065.35098
Bismut, Jean-Michel
28
2005
Temps d’arret optimal, théorie générale des processus et processus de Markov. Zbl 0342.60036
Bismut, Jean-Michel; Skalli, Bernard
28
1977
The Witten complex and the degenerate Morse inequalities. Zbl 0608.58038
Bismut, Jean-Michel
26
1986
Hypoelliptic Laplacian and orbital integrals. Zbl 1234.58001
Bismut, Jean-Michel
24
2011
Higher analytic torsion forms for direct images and anomaly formulas. Zbl 0784.32023
Bismut, Jean-Michel; Köhler, Kai
24
1992
Complex immersions and Arakelov geometry. Zbl 0744.14015
Bismut, Jean-Michel; Gillet, Henri; Soulé, Christophe
24
1990
Demailly’s asymptotic Morse inequalities: a heat equation proof. Zbl 0649.58030
Bismut, Jean-Michel
24
1987
Intégrales convexes et probabilités. Zbl 0268.60003
Bismut, Jean-Michel
23
1973
The hypoelliptic Laplacian and Ray-Singer metrics. Zbl 1156.58001
Bismut, Jean-Michel; Lebeau, Gilles
22
2008
Mécanique aléatoire. Zbl 0528.60048
Bismut, J. M.
22
1982
Equivariant immersions and Quillen metrics. Zbl 0826.32024
Bismut, Jean-Michel
21
1995
The Atiyah-Singer theorems: A probabilistic approach. II: The Lefschetz fixed point formulas. Zbl 0556.58027
Bismut, Jean-Michel
21
1984
Superconnection currents and complex immersions. Zbl 0696.58006
Bismut, Jean-Michel
20
1990
Families torsion and Morse functions. Zbl 1071.58025
Bismut, Jean-Michel; Goette, Sebastian
19
2001
Families index for manifolds with boundary, superconnections and cones. II: The Chern character. Zbl 0711.53023
Bismut, Jean-Michel; Cheeger, Jeff
18
1990
Determinant fiber bundles, Quillen metric and degeneracy of curves. Zbl 0709.32019
Bismut, J.-M.; Bost, J.-B.
18
1990
Bott-Chern currents and complex immersions. Zbl 0697.58005
Bismut, J.-M.; Gillet, H.; Soulé, C.
18
1990
Holomorphic families of immersions and higher analytic torsion forms. Zbl 0899.32013
Bismut, Jean-Michel
17
1997
Koszul complexes, harmonic oscillators, and the Todd class. Zbl 0702.58071
Bismut, Jean-Michel
13
1990
The infinitesimal Lefschetz formulas: A heat equation proof. Zbl 0572.58021
Bismut, Jean-Michel
13
1985
Contrôle de processus alternants et applications. Zbl 0381.60033
Bismut, Jean-Michel
13
1979
Quillen metrics and higher analytic torsion forms. Zbl 0804.32017
Berthomieu, Alain; Bismut, Jean-Michel
12
1994
Real embeddings and eta invariants. Zbl 0795.57010
Bismut, Jean-Michel; Zhang, Weiping
12
1993
Last exit decompositions and regularity at the boundary of transition probabilities. Zbl 0551.60077
Bismut, Jean-Michel
12
1985
Equivariant de Rham torsions. Zbl 1094.58013
Bismut, Jean-Michel; Goette, Sebastian
10
2004
Diffusions conditionnelles. II. Générateur conditionel. Application au filtrage. Zbl 0475.60062
Bismut, Jean-Michel; Michel, Dominique
10
1982
Temps d’arret optimal, quasi-temps d’arret et retournement du temps. Zbl 0432.60052
Bismut, Jean-Michel
10
1979
Contrôle des systèmes linéaires quadratiques: Applications de l’intégrale stochastique. Zbl 0389.93052
Bismut, Jean-Michel
10
1978
Eta invariants, differential characters and flat vector bundles. Zbl 1083.58020
Bismut, J. M.
9
2005
Symplectic geometry and the Verlinde formulas. Zbl 0997.53066
Bismut, Jean-Michel; Labourie, François
9
1999
Equivariant Bott-Chern currents and the Ray-Singer analytic torsion. Zbl 0682.58045
Bismut, Jean-Michel
9
1990
Hypoelliptic Laplacian and Bott-Chern cohomology. A theorem of Riemann-Roch-Grothendieck in complex geometry. Zbl 1273.58001
Bismut, Jean-Michel
8
2013
The hypoelliptic Laplacian on the cotangent bundle. Zbl 1049.58005
Bismut, 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 0768.58048
Bismut, Jean-Michel; Cheeger, Jeff
8
1992
Growth and optimal intertemporal allocation of risks. Zbl 1011.91504
Bismut, Jean-Michel
8
1975
Asymptotic torsion and Toeplitz operators. Zbl 1381.58015
Bismut, Jean-Michel; Ma, Xiaonan; Zhang, Weiping
7
2017
Hypoelliptic Laplacian and probability. Zbl 1334.35019
Bismut, Jean-Michel
7
2015
Partially observed diffusions and their control. Zbl 0486.93076
Bismut, Jean-Michel
7
1982
Control of jump processes and applications. Zbl 0391.93036
Bismut, Jean-Michel
7
1978
On optimal control of linear stochastic equations with a linear-quadratic criterion. Zbl 0353.93052
Bismut, Jean-Michel
7
1977
Dualité convexe, temps d’arret optimal et contrôle stochastique. Zbl 0336.60070
Bismut, Jean-Michel
7
1977
Toeplitz operators and asymptotic analytic torsion. Zbl 1227.58010
Bismut, Jean-Michel; Ma, Xiaonan; Zhang, Weiping
6
2011
Holomorphic immersions and equivariant torsion forms. Zbl 1063.58019
Bismut, Jean Michel; Ma, Xiaonan
6
2004
Remarks on the index theorem for families of Dirac operators on manifolds with boundary. Zbl 0727.58045
Bismut, Jean-Michel; Cheeger, Jeff
6
1991
Immersions complexes et métriques de Quillen. (Complex immersions and Quillen metrics). Zbl 0681.53034
Bismut, Jean-Michel; Lebeau, Gilles
6
1989
Transformations différentiables du mouvement brownien. Zbl 0572.60074
Bismut, Jean-Michel
6
1985
Hypoelliptic Laplacian and Bott-Chern cohomology. Zbl 1209.58015
Bismut, Jean-Michel
5
2011
Loop spaces and the hypoelliptic Laplacian. Zbl 1147.58038
Bismut, Jean-Michel
5
2008
Holomorphic equivariant analytic torsions. Zbl 0974.58033
Bismut, 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 0658.32025
Bismut, Jean-Michel; Vasserot, Eric
5
1988
The calculus of boundary processes. Zbl 0561.60081
Bismut, Jean-Michel
5
1984
Un problème de contrôle stochastique avec observation partielle. Zbl 0393.60075
Bismut, Jean-Michel
5
1979
An example of interaction between information and control: The transparancy of a game. Zbl 0265.90068
Bismut, Jean-Michel
5
1973
Index theory and the hypoelliptic Laplacian. Zbl 1251.35020
Bismut, Jean-Michel
4
2012
The hypoelliptic Dirac operator. Zbl 1157.58011
Bismut, Jean-Michel
4
2008
A deformation of Hodge theory on the cotangent bundle. Zbl 1044.58005
Bismut, Jean-Michel
4
2004
Local index theory and higher analytic torsion. Zbl 0982.58016
Bismut, Jean-Michel
4
1998
Quillen metrics and singular fibres in arbitrary relative dimension. Zbl 0871.32003
Bismut, Jean-Michel
4
1997
Equivariant short exact sequences of vector bundles and their analytic torsion forms. Zbl 0817.32014
Bismut, Jean-Michel
4
1994
The asymptotics of the Ray-Singer analytic torsion of the symmetric powers of a positive vector bundle. Zbl 0711.32015
Bismut, 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 0645.58036
Bismut, Jean-Michel; Cheeger, Jeff
4
1987
Structure des diffusions conditionnelles et calcul des variations. Zbl 0464.60061
Bismut, Jean-Michel; Michel, Dominique
4
1981
Flots stochastiques et formule de Ito-Stratonovitch généralisée. Zbl 0428.60067
Bismut, Jean-Michel
4
1980
An approximation method in optimal stochastic control. Zbl 0411.93044
Bismut, Jean-Michel
4
1978
Duality methods in the control of densities. Zbl 0393.49013
Bismut, Jean-Michel
4
1978
Régularité et continuite des processus. Zbl 0369.60041
Bismut, Jean-Michel
4
1978
Duistermaat-Heckman formulas and index theory. Zbl 1267.58015
Bismut, Jean-Michel
3
2011
Hypoelliptic Laplacian and orbital integrals. Zbl 1183.58001
Bismut, Jean-Michel
3
2009
The hypoelliptic Laplacian on a compact Lie group. Zbl 1183.43005
Bismut, Jean-Michel
3
2008
The hypoelliptic Laplacian and analytic torsion. Zbl 1073.58024
Bismut, Jean-Michel; Lebeau, Gilles
3
2005
Local index theory, eta invariants and holomorphic torsion: A survey. Zbl 0967.58014
Bismut, Jean-Michel
3
1998
On certain infinite dimensional aspects of Arakelov intersection theory. Zbl 0763.53033
Bismut, Jean-Michel
3
1992
Complex equivariant intersection, excess normal bundles and Bott-Chern currents. Zbl 0759.53040
Bismut, Jean-Michel
3
1992
Bott-Chern currents, excess normal bundles and the Chern character. Zbl 0776.32007
Bismut, J.-M.
3
1992
Asymptotic torsion and Toeplitz operators. Zbl 1381.58015
Bismut, Jean-Michel; Ma, Xiaonan; Zhang, Weiping
7
2017
Hypoelliptic Laplacian and probability. Zbl 1334.35019
Bismut, Jean-Michel
7
2015
Hypoelliptic Laplacian and Bott-Chern cohomology. A theorem of Riemann-Roch-Grothendieck in complex geometry. Zbl 1273.58001
Bismut, Jean-Michel
8
2013
Index theory and the hypoelliptic Laplacian. Zbl 1251.35020
Bismut, Jean-Michel
4
2012
Hypoelliptic Laplacian and orbital integrals. Zbl 1234.58001
Bismut, Jean-Michel
24
2011
Toeplitz operators and asymptotic analytic torsion. Zbl 1227.58010
Bismut, Jean-Michel; Ma, Xiaonan; Zhang, Weiping
6
2011
Hypoelliptic Laplacian and Bott-Chern cohomology. Zbl 1209.58015
Bismut, Jean-Michel
5
2011
Duistermaat-Heckman formulas and index theory. Zbl 1267.58015
Bismut, Jean-Michel
3
2011
Hypoelliptic Laplacian and orbital integrals. Zbl 1183.58001
Bismut, Jean-Michel
3
2009
The hypoelliptic Laplacian and Ray-Singer metrics. Zbl 1156.58001
Bismut, Jean-Michel; Lebeau, Gilles
22
2008
Loop spaces and the hypoelliptic Laplacian. Zbl 1147.58038
Bismut, Jean-Michel
5
2008
The hypoelliptic Dirac operator. Zbl 1157.58011
Bismut, Jean-Michel
4
2008
The hypoelliptic Laplacian on a compact Lie group. Zbl 1183.43005
Bismut, Jean-Michel
3
2008
A survey of the hypoelliptic Laplacian. Zbl 1180.58001
Bismut, Jean-Michel
2
2008
The hypoelliptic Laplacian on the cotangent bundle. Zbl 1065.35098
Bismut, Jean-Michel
28
2005
Eta invariants, differential characters and flat vector bundles. Zbl 1083.58020
Bismut, J. M.
9
2005
The hypoelliptic Laplacian and analytic torsion. Zbl 1073.58024
Bismut, Jean-Michel; Lebeau, Gilles
3
2005
Equivariant de Rham torsions. Zbl 1094.58013
Bismut, Jean-Michel; Goette, Sebastian
10
2004
The hypoelliptic Laplacian on the cotangent bundle. Zbl 1049.58005
Bismut, Jean-Michel
8
2004
Holomorphic immersions and equivariant torsion forms. Zbl 1063.58019
Bismut, Jean Michel; Ma, Xiaonan
6
2004
A deformation of Hodge theory on the cotangent bundle. Zbl 1044.58005
Bismut, Jean-Michel
4
2004
Holomorphic and de Rham torsion. Zbl 1091.58020
Bismut, Jean-Michel
2
2004
A deformation in families of Hodge-de Rham theory. Zbl 1058.58009
Bismut, Jean-Michel
2
2004
The hypoelliptic Laplacian. Zbl 1292.35097
Bismut, Jean-Michel
1
2004
Families of equivariant immersions and analytic torsion forms. Zbl 1010.32015
Bismut, Jean-Michel; Ma, Xiaonan
1
2002
Families torsion and Morse functions. Zbl 1071.58025
Bismut, Jean-Michel; Goette, Sebastian
19
2001
Holomorphic equivariant analytic torsions. Zbl 0974.58033
Bismut, J.-M.; Goette, S.
5
2000
Symplectic geometry and the Verlinde formulas. Zbl 0997.53066
Bismut, Jean-Michel; Labourie, François
9
1999
Holomorphic equivariant analytical torsions. Zbl 0952.53034
Bismut, Jean-Michel; Goette, Sebastian
1
1999
Local index theory and higher analytic torsion. Zbl 0982.58016
Bismut, Jean-Michel
4
1998
Local index theory, eta invariants and holomorphic torsion: A survey. Zbl 0967.58014
Bismut, Jean-Michel
3
1998
Holomorphic families of immersions and higher analytic torsion forms. Zbl 0899.32013
Bismut, Jean-Michel
17
1997
Quillen metrics and singular fibres in arbitrary relative dimension. Zbl 0871.32003
Bismut, Jean-Michel
4
1997
Torus bundles and the group cohomology of \(GL(N,\mathbb{Z})\). Zbl 0902.57028
Bismut, Jean-Michel; Lott, John
1
1997
Flat vector bundles, direct images and higher real analytic torsion. Zbl 0837.58028
Bismut, Jean-Michel; Lott, John
45
1995
Equivariant immersions and Quillen metrics. Zbl 0826.32024
Bismut, Jean-Michel
21
1995
Families of immersions and higher degree analytic torsion forms. Zbl 0844.32010
Bismut, Jean-Michel
2
1995
Milnor and Ray-Singer metrics on the equivariant determinant of a flat vector bundle. Zbl 0830.58030
Bismut, J.-M.; Zhang, W.
32
1994
Quillen metrics and higher analytic torsion forms. Zbl 0804.32017
Berthomieu, Alain; Bismut, Jean-Michel
12
1994
Equivariant short exact sequences of vector bundles and their analytic torsion forms. Zbl 0817.32014
Bismut, Jean-Michel
4
1994
Real embeddings and eta invariants. Zbl 0795.57010
Bismut, Jean-Michel; Zhang, Weiping
12
1993
From Quillen metrics to Reidemeister metrics: Some aspects of the Ray- Singer analytic torsion. Zbl 0799.58076
Bismut, Jean-Michel
1
1993
Equivariant Quillen metrics and complex embeddings. Zbl 0773.53026
Bismut, Jean-Michel
1
1993
Flat vector bundles, direct images and analytic torsion forms. Zbl 0780.57023
Bismut, Jean-Michel; Lott, John
1
1993
Equivariant short exact sequences of vector bundles and their analytic torsion forms. Zbl 0784.32022
Bismut, Jean-Michel
1
1993
An extension of a theorem by Cheeger and Müller. With an appendix by François Laudenbach. Zbl 0781.58039
Bismut, Jean-Michel; Zhang, Weiping
59
1992
Higher analytic torsion forms for direct images and anomaly formulas. Zbl 0784.32023
Bismut, 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 0768.58048
Bismut, Jean-Michel; Cheeger, Jeff
8
1992
On certain infinite dimensional aspects of Arakelov intersection theory. Zbl 0763.53033
Bismut, Jean-Michel
3
1992
Complex equivariant intersection, excess normal bundles and Bott-Chern currents. Zbl 0759.53040
Bismut, Jean-Michel
3
1992
Bott-Chern currents, excess normal bundles and the Chern character. Zbl 0776.32007
Bismut, J.-M.
3
1992
Complex immersions and Quillen metrics. Zbl 0784.32010
Bismut, Jean-Michel; Lebeau, Gilles
71
1991
Remarks on the index theorem for families of Dirac operators on manifolds with boundary. Zbl 0727.58045
Bismut, 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 0743.57014
Bismut, 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 0696.53021
Bismut, Jean-Michel; Cheeger, Jeff
31
1990
Complex immersions and Arakelov geometry. Zbl 0744.14015
Bismut, Jean-Michel; Gillet, Henri; Soulé, Christophe
24
1990
Superconnection currents and complex immersions. Zbl 0696.58006
Bismut, Jean-Michel
20
1990
Families index for manifolds with boundary, superconnections and cones. II: The Chern character. Zbl 0711.53023
Bismut, Jean-Michel; Cheeger, Jeff
18
1990
Determinant fiber bundles, Quillen metric and degeneracy of curves. Zbl 0709.32019
Bismut, J.-M.; Bost, J.-B.
18
1990
Bott-Chern currents and complex immersions. Zbl 0697.58005
Bismut, J.-M.; Gillet, H.; Soulé, C.
18
1990
Koszul complexes, harmonic oscillators, and the Todd class. Zbl 0702.58071
Bismut, Jean-Michel
13
1990
Equivariant Bott-Chern currents and the Ray-Singer analytic torsion. Zbl 0682.58045
Bismut, Jean-Michel
9
1990
The asymptotics of the Ray-Singer analytic torsion of the symmetric powers of a positive vector bundle. Zbl 0711.32015
Bismut, J.-M.; Vasserot, E.
4
1990
Eta invariants and complex immersions. Zbl 0721.58057
Bismut, Jean-Michel
1
1990
A local index theorem for non-Kähler manifolds. Zbl 0666.58042
Bismut, Jean-Michel
105
1989
\(\eta\)-invariants and their adiabatic limits. Zbl 0671.58037
Bismut, Jean-Michel; Cheeger, Jeff
73
1989
The asymptotics of the Ray-Singer analytic torsion associated with high powers of a positive line bundle. Zbl 0687.32023
Bismut, Jean-Michel; Vasserot, Eric
39
1989
Immersions complexes et métriques de Quillen. (Complex immersions and Quillen metrics). Zbl 0681.53034
Bismut, 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 0661.53050
Bismut, Jean-Michel
2
1989
Complexe de Koszul, oscillateur harmonique et classe de Todd. (Koszul complex, harmonic oscillator and the Todd class). Zbl 0673.58043
Bismut, 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 0651.32017
Bismut, 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 0658.32025
Bismut, 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 0652.32020
Bismut, Jean-Michel
2
1988
Formules de Lichnerowicz et théorème de l’indice. (Lichnerowicz formulas and index theorem.). Zbl 0648.58033
Bismut, Jean-Marie
2
1988
Classes caractéristiques secondaires et immersions en géométrie complexe. (Secondary characteristic classes and immersions in complex geometry). Zbl 0655.57012
Bismut, Jean-Michel; Gillet, Henri; Soulé, Christophe
1
1988
Transgressed Chern forms for Dirac operators. Zbl 0646.46067
Bismut, Jean-Michel
1
1988
Demailly’s asymptotic Morse inequalities: a heat equation proof. Zbl 0649.58030
Bismut, 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 0645.58036
Bismut, Jean-Michel; Cheeger, Jeff
4
1987
Torsion analytique et fibrés déterminants holomorphes. (Analytic torsion and holomorphic determinant bundles). Zbl 0617.32042
Bismut, Jean-Michel; Gillet, Henri; Soulé, Christophe
1
1987
The analysis of elliptic families. I: Metrics and connections on determinant bundles. Zbl 0657.58037
Bismut, Jean-Michel; Freed, Daniel S.
117
1986
The analysis of elliptic families. II: Dirac operators, êta invariants, and the holonomy theorem. Zbl 0657.58038
Bismut, Jean-Michel; Freed, Daniel S.
109
1986
The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs. Zbl 0592.58047
Bismut, Jean-Michel
106
1986
Localization formulas, superconnections, and the index theorem for families. Zbl 0602.58042
Bismut, J.-M.
38
1986
The Witten complex and the degenerate Morse inequalities. Zbl 0608.58038
Bismut, Jean-Michel
26
1986
Probability and geometry. Zbl 0626.58022
Bismut, Jean-Michel
1
1986
Index theorem and equivariant cohomology on the loop space. Zbl 0591.58027
Bismut, Jean-Michel
36
1985
The infinitesimal Lefschetz formulas: A heat equation proof. Zbl 0572.58021
Bismut, Jean-Michel
13
1985
Last exit decompositions and regularity at the boundary of transition probabilities. Zbl 0551.60077
Bismut, Jean-Michel
12
1985
Transformations différentiables du mouvement brownien. Zbl 0572.60074
Bismut, Jean-Michel
6
1985
Fibré déterminant et invariant êta. (Determinant bundle and êta invariant). Zbl 0618.58034
Bismut, Jean-Michel; Freed, Daniel S.
3
1985
Inégalités de Morse dégénérées et complexe de Witten. ( Degenerate Morse inequalities and Witten’s complex). Zbl 0608.57023
Bismut, 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 0589.58025
Bismut, Jean-Michel
1
1985
Large deviations and the Malliavin calculus. Zbl 0537.35003
Bismut, Jean-Michel
186
1984
The Atiyah-Singer theorems: A probabilistic approach. I: The index theorem. Zbl 0538.58033
Bismut, Jean-Michel
52
1984
The Atiyah-Singer theorems: A probabilistic approach. II: The Lefschetz fixed point formulas. Zbl 0556.58027
Bismut, Jean-Michel
21
1984
The calculus of boundary processes. Zbl 0561.60081
Bismut, Jean-Michel
5
1984
On the set of zeros of certain semi-martingales. Zbl 0543.60047
Bismut, Jean-Michel
1
1984
Calcul des variations stochastique et processus de sauts. Zbl 0494.60082
Bismut, Jean-Michel
47
1983
Le théorème d’Atiyah-Singer pour les opérateurs elliptiques classiques: une approche probabiliste. Zbl 0539.58034
Bismut, Jean-Michel
2
1983
An inequality for processes which satisfy Kolmogorov’s continuity criterion. Application to continuous martingales. Zbl 0524.60020
Bismut, J. M.; Yor, M.
2
1983
...and 37 more Documents
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. Mathematics
16 Mathematische Annalen
16 SIAM Journal on Control and Optimization
16 The Annals of Applied Probability
15 Journal of Optimization Theory and Applications
15 Bulletin des Sciences Mathématiques
14 Manuscripta Mathematica
14 Statistics & Probability Letters
14 Annals of Global Analysis and Geometry
13 Journal of Theoretical Probability
13 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
13 Journal of High Energy Physics
12 International Journal of Control
12 The Journal of Geometric Analysis
12 Geometric and Functional Analysis. GAFA
11 Nuclear Physics. B
11 Journal of Differential Equations
11 Differential Geometry and its Applications
11 Journal de Mathématiques Pures et Appliquées. Neuvième Série
10 Automatica
10 International Journal of Mathematics
10 Potential Analysis
10 Stochastics and Dynamics
9 Letters in Mathematical Physics
9 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
8 Acta Applicandae Mathematicae
8 Random Operators and Stochastic Equations
8 Mathematical Control and Related Fields
7 Reports on Mathematical Physics
7 Journal of Economic Theory
7 Journal für die Reine und Angewandte Mathematik
7 Journal of the American Mathematical Society
7 Bulletin of the American Mathematical Society. New Series
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 the European Mathematical Society (JEMS)
7 International Journal of Geometric Methods in Modern Physics
7 Journal of Noncommutative Geometry
7 Probability, Uncertainty and Quantitative Risk
6 Annales Scientifiques de l’École Normale Supérieure. 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

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