×

Bismut, Jean-Michel

Author ID: bismut.jean-michel Recent zbMATH articles by "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)
all top 5

Serials

24 Comptes Rendus de l’Académie des Sciences. Série I
14 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
12 Journal of Functional Analysis
12 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
11 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Communications in Mathematical Physics
6 SIAM Journal on Control and Optimization
5 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
4 Journal of the American Mathematical Society
3 Compositio Mathematica
3 Journal of Differential Geometry
3 Mathematische Annalen
3 Geometric and Functional Analysis. GAFA
3 Astérisque
3 Progress in Mathematics
2 Journal of Mathematical Analysis and Applications
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Bulletin de la Société Mathématique de France
2 Inventiones Mathematicae
2 Journal für die Reine und Angewandte Mathematik
2 Journal of Algebraic Geometry
2 Annals of Mathematics Studies
1 Communications on Pure and Applied Mathematics
1 Letters in Mathematical Physics
1 Acta Mathematica
1 Annales de l’Institut Fourier
1 The Annals of Probability
1 Duke Mathematical Journal
1 IEEE Transactions on Automatic Control
1 Publications Mathématiques
1 Journal of Economic Theory
1 Journal of the Mathematical Society of Japan
1 Memoirs of the American Mathematical Society
1 Proceedings of the London Mathematical Society. Third Series
1 Chinese Annals of Mathematics. Series B
1 SIAM Review
1 Mémoires de la Société Mathématique de France. Nouvelle Série
1 Notices of the American Mathematical Society
1 Séminaire Équations aux Dérivées Partielles
1 Documenta Mathematica
1 Annals of Mathematics. Second Series
1 Journal of the European Mathematical Society (JEMS)
1 Journal of the Institute of Mathematics of Jussieu
1 SIAM Journal on Control
1 Lecture Notes in Mathematics

Publications by Year

Citations contained in zbMATH Open

146 Publications have been cited 3,783 times in 2,189 Documents Cited by Year
Analytic torsion and holomorphic determinant bundles. I: Bott-Chern forms and analytic torsion. II: Direct images and Bott-Chern forms. III: Quillen metrics on holomorphic determinants. Zbl 0651.32017
Bismut, J.-M.; Gillet, H.; Soulé, C.
298
1988
Conjugate convex functions in optimal stochastic control. Zbl 0276.93060
Bismut, Jean-Michel
261
1973
Large deviations and the Malliavin calculus. Zbl 0537.35003
Bismut, Jean-Michel
231
1984
An introductory approach to duality in optimal stochastic control. Zbl 0378.93049
Bismut, Jean-Michel
164
1978
A local index theorem for non-Kähler manifolds. Zbl 0666.58042
Bismut, Jean-Michel
151
1989
The analysis of elliptic families. I: Metrics and connections on determinant bundles. Zbl 0657.58037
Bismut, Jean-Michel; Freed, Daniel S.
139
1986
The analysis of elliptic families. II: Dirac operators, êta invariants, and the holonomy theorem. Zbl 0657.58038
Bismut, Jean-Michel; Freed, Daniel S.
131
1986
The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs. Zbl 0592.58047
Bismut, Jean-Michel
128
1986
Martingales, the Malliavin calculus and hypoellipticity under general Hörmander’s conditions. Zbl 0445.60049
Bismut, Jean-Michel
126
1981
An extension of a theorem by Cheeger and Müller. With an appendix by François Laudenbach. Zbl 0781.58039
Bismut, Jean-Michel; Zhang, Weiping
124
1992
Linear quadratic optimal stochastic control with random coefficients. Zbl 0331.93086
Bismut, Jean-Michel
116
1976
Complex immersions and Quillen metrics. Zbl 0784.32010
Bismut, Jean-Michel; Lebeau, Gilles
99
1991
\(\eta\)-invariants and their adiabatic limits. Zbl 0671.58037
Bismut, Jean-Michel; Cheeger, Jeff
93
1989
Mécanique aléatoire. Zbl 0457.60002
Bismut, Jean-Michel
87
1981
Calcul des variations stochastique et processus de sauts. Zbl 0494.60082
Bismut, Jean-Michel
58
1983
The Atiyah-Singer theorems: A probabilistic approach. I: The index theorem. Zbl 0538.58033
Bismut, Jean-Michel
56
1984
Flat vector bundles, direct images and higher real analytic torsion. Zbl 0837.58028
Bismut, Jean-Michel; Lott, John
56
1995
Théorie probabiliste du contrôle des diffusions. Zbl 0323.93046
Bismut, Jean-Michel
55
1976
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
48
1989
Index theorem and equivariant cohomology on the loop space. Zbl 0591.58027
Bismut, Jean-Michel
46
1985
Localization formulas, superconnections, and the index theorem for families. Zbl 0602.58042
Bismut, J.-M.
44
1986
A generalized formula of Ito and some other properties of stochastic flows. Zbl 0456.60063
Bismut, Jean-Michel
44
1981
The hypoelliptic Laplacian on the cotangent bundle. Zbl 1065.35098
Bismut, Jean-Michel
38
2005
Sur un problème de Dynkin. Zbl 0336.60069
Bismut, Jean-Michel
38
1977
Milnor and Ray-Singer metrics on the equivariant determinant of a flat vector bundle. Zbl 0830.58030
Bismut, J.-M.; Zhang, W.
37
1994
Hypoelliptic Laplacian and orbital integrals. Zbl 1234.58001
Bismut, Jean-Michel
35
2011
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
34
1990
Higher analytic torsion forms for direct images and anomaly formulas. Zbl 0784.32023
Bismut, Jean-Michel; Köhler, Kai
34
1992
Mécanique aléatoire. Zbl 0528.60048
Bismut, J. M.
34
1982
Temps d’arret optimal, théorie générale des processus et processus de Markov. Zbl 0342.60036
Bismut, Jean-Michel; Skalli, Bernard
34
1977
Diffusions conditionnelles. I. Hypoellipticité partielle. Zbl 0475.60061
Bismut, Jean-Michel; Michel, Dominique
32
1981
Demailly’s asymptotic Morse inequalities: a heat equation proof. Zbl 0649.58030
Bismut, Jean-Michel
31
1987
The Witten complex and the degenerate Morse inequalities. Zbl 0608.58038
Bismut, Jean-Michel
30
1986
Complex immersions and Arakelov geometry. Zbl 0744.14015
Bismut, Jean-Michel; Gillet, Henri; Soulé, Christophe
27
1990
Equivariant immersions and Quillen metrics. Zbl 0826.32024
Bismut, Jean-Michel
27
1995
The hypoelliptic Laplacian and Ray-Singer metrics. Zbl 1156.58001
Bismut, Jean-Michel; Lebeau, Gilles
27
2008
Intégrales convexes et probabilités. Zbl 0268.60003
Bismut, Jean-Michel
26
1973
Families torsion and Morse functions. Zbl 1071.58025
Bismut, Jean-Michel; Goette, Sebastian
25
2001
The Atiyah-Singer theorems: A probabilistic approach. II: The Lefschetz fixed point formulas. Zbl 0556.58027
Bismut, Jean-Michel
25
1984
Holomorphic families of immersions and higher analytic torsion forms. Zbl 0899.32013
Bismut, Jean-Michel
25
1997
Contrôle des systèmes linéaires quadratiques: Applications de l’intégrale stochastique. Zbl 0389.93052
Bismut, Jean-Michel
23
1978
Families index for manifolds with boundary, superconnections and cones. II: The Chern character. Zbl 0711.53023
Bismut, Jean-Michel; Cheeger, Jeff
22
1990
Superconnection currents and complex immersions. Zbl 0696.58006
Bismut, Jean-Michel
21
1990
Bott-Chern currents and complex immersions. Zbl 0697.58005
Bismut, J.-M.; Gillet, H.; Soulé, C.
19
1990
Determinant fiber bundles, Quillen metric and degeneracy of curves. (Fibrés déterminants, métriques de Quillen et dégénérescence des courbes.) Zbl 0709.32019
Bismut, J.-M.; Bost, J.-B.
18
1990
Quillen metrics and higher analytic torsion forms. Zbl 0804.32017
Berthomieu, Alain; Bismut, Jean-Michel
18
1994
Asymptotic torsion and Toeplitz operators. Zbl 1381.58015
Bismut, Jean-Michel; Ma, Xiaonan; Zhang, Weiping
18
2017
Koszul complexes, harmonic oscillators, and the Todd class. Zbl 0702.58071
Bismut, Jean-Michel
15
1990
Real embeddings and eta invariants. Zbl 0795.57010
Bismut, Jean-Michel; Zhang, Weiping
15
1993
Hypoelliptic Laplacian and Bott-Chern cohomology. A theorem of Riemann-Roch-Grothendieck in complex geometry. Zbl 1273.58001
Bismut, Jean-Michel
15
2013
Symplectic geometry and the Verlinde formulas. Zbl 0997.53066
Bismut, Jean-Michel; Labourie, François
14
1999
Growth and optimal intertemporal allocation of risks. Zbl 1011.91504
Bismut, Jean-Michel
14
1975
Toeplitz operators and asymptotic analytic torsion. (Opérateurs de Toeplitz et torsion analytique asymptotique.) Zbl 1227.58010
Bismut, Jean-Michel; Ma, Xiaonan; Zhang, Weiping
14
2011
Last exit decompositions and regularity at the boundary of transition probabilities. Zbl 0551.60077
Bismut, Jean-Michel
14
1985
The infinitesimal Lefschetz formulas: A heat equation proof. Zbl 0572.58021
Bismut, Jean-Michel
14
1985
Contrôle de processus alternants et applications. Zbl 0381.60033
Bismut, Jean-Michel
14
1979
Equivariant de Rham torsions. Zbl 1094.58013
Bismut, Jean-Michel; Goette, Sebastian
13
2004
Temps d’arret optimal, quasi-temps d’arret et retournement du temps. Zbl 0432.60052
Bismut, Jean-Michel
13
1979
Equivariant Bott-Chern currents and the Ray-Singer analytic torsion. Zbl 0682.58045
Bismut, Jean-Michel
11
1990
Remarks on the index theorem for families of Dirac operators on manifolds with boundary. Zbl 0727.58045
Bismut, Jean-Michel; Cheeger, Jeff
11
1991
Diffusions conditionnelles. II. Générateur conditionel. Application au filtrage. Zbl 0475.60062
Bismut, Jean-Michel; Michel, Dominique
11
1982
Partially observed diffusions and their control. Zbl 0486.93076
Bismut, Jean-Michel
11
1982
Quillen metrics and singular fibres in arbitrary relative dimension. Zbl 0871.32003
Bismut, Jean-Michel
10
1997
Holomorphic immersions and equivariant torsion forms. Zbl 1063.58019
Bismut, Jean Michel; Ma, Xiaonan
10
2004
The hypoelliptic Laplacian on the cotangent bundle. (Le laplacien hypoelliptique sur le fibré cotangent.) Zbl 1049.58005
Bismut, Jean-Michel
10
2004
Flots stochastiques et formule de Ito-Stratonovitch généralisée. Zbl 0428.60067
Bismut, Jean-Michel
10
1980
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
9
1992
Holomorphic equivariant analytic torsions. Zbl 0974.58033
Bismut, J.-M.; Goette, S.
9
2000
Hypoelliptic Laplacian and probability. Zbl 1334.35019
Bismut, Jean-Michel
9
2015
The hypoelliptic Dirac operator. Zbl 1157.58011
Bismut, Jean-Michel
9
2008
Eta invariants, differential characters and flat vector bundles. Zbl 1083.58020
Bismut, J. M.
9
2005
Martingales, the Malliavin calculus and Hörmander’s theorem. Zbl 0457.60034
Bismut, Jean-Michel
8
1981
Holomorphic and de Rham torsion. Zbl 1091.58020
Bismut, Jean-Michel
8
2004
Dualité convexe, temps d’arret optimal et contrôle stochastique. Zbl 0336.60070
Bismut, Jean-Michel
8
1977
On optimal control of linear stochastic equations with a linear-quadratic criterion. Zbl 0353.93052
Bismut, Jean-Michel
8
1977
Control of jump processes and applications. Zbl 0391.93036
Bismut, Jean-Michel
8
1978
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.
7
1990
The hypoelliptic Laplacian on a compact Lie group. Zbl 1183.43005
Bismut, Jean-Michel
7
2008
An example of interaction between information and control: The transparancy of a game. Zbl 0265.90068
Bismut, Jean-Michel
7
1973
Duistermaat-Heckman formulas and index theory. Zbl 1267.58015
Bismut, Jean-Michel
7
2011
Immersions complexes et métriques de Quillen. (Complex immersions and Quillen metrics). Zbl 0681.53034
Bismut, Jean-Michel; Lebeau, Gilles
6
1989
Equivariant short exact sequences of vector bundles and their analytic torsion forms. Zbl 0817.32014
Bismut, Jean-Michel
6
1994
Transformations différentiables du mouvement brownien. Zbl 0572.60074
Bismut, Jean-Michel
6
1985
A deformation of Hodge theory on the cotangent bundle. (Une déformation de la théorie de Hodge sur le fibré cotangent.) Zbl 1044.58005
Bismut, Jean-Michel
6
2004
Régularité et continuite des processus. Zbl 0369.60041
Bismut, Jean-Michel
6
1978
Complex equivariant intersection, excess normal bundles and Bott-Chern currents. Zbl 0759.53040
Bismut, Jean-Michel
5
1992
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
Local index theory, eta invariants and holomorphic torsion: A survey. Zbl 0967.58014
Bismut, Jean-Michel
5
1998
The calculus of boundary processes. Zbl 0561.60081
Bismut, Jean-Michel
5
1984
Loop spaces and the hypoelliptic Laplacian. Zbl 1147.58038
Bismut, Jean-Michel
5
2008
Duality methods in the control of densities. Zbl 0393.49013
Bismut, Jean-Michel
5
1978
Un problème de contrôle stochastique avec observation partielle. Zbl 0393.60075
Bismut, Jean-Michel
5
1979
Hypoelliptic Laplacian and Bott-Chern cohomology. (Laplacien hypoelliptique et cohomologie de Bott-Chern.) Zbl 1209.58015
Bismut, Jean-Michel
5
2011
Index theory and the hypoelliptic Laplacian. Zbl 1251.35020
Bismut, Jean-Michel
5
2012
On certain infinite dimensional aspects of Arakelov intersection theory. Zbl 0763.53033
Bismut, Jean-Michel
4
1992
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
An introduction to the stochastic calculus of variations. Zbl 0517.58040
Bismut, Jean-Michel
4
1982
A survey of the hypoelliptic Laplacian. Zbl 1180.58001
Bismut, Jean-Michel
4
2008
Local index theory and higher analytic torsion. Zbl 0982.58016
Bismut, Jean-Michel
4
1998
A deformation in families of Hodge-de Rham theory. (Une déformation en famille du complexe de de Rham-Hodge.) Zbl 1058.58009
Bismut, Jean-Michel
4
2004
Coherent sheaves, superconnections, and Riemann-Roch-Grothendieck. Zbl 07712521
Bismut, Jean-Michel; Shen, Shu; Wei, Zhaoting
1
2023
Geometric orbital integrals and the center of the enveloping algebra. Zbl 1503.22008
Bismut, Jean-Michel; Shen, Shu
1
2022
Œuvres complètes – collected works. Edited by Marc Yor and Bernard Bru. With forewords by Jean-Michel Bismut and Hans Föllmer. With commentaries by Marius Iosifescu, Torgny Lindvall, David Mason, Esa Nummelin and Eugene Seneta. Zbl 1460.01019
Doeblin, Wolfgang
4
2020
Eta invariants and the hypoelliptic Laplacian. Zbl 1479.58020
Bismut, Jean-Michel
2
2019
Semi-simple orbital integrals and center of the enveloping algebra. (Intégrales orbitales semi-simples et centre de l’algèbre enveloppante.) Zbl 1436.58020
Bismut, Jean-Michel; Shen, Shu
1
2019
Asymptotic torsion and Toeplitz operators. Zbl 1381.58015
Bismut, Jean-Michel; Ma, Xiaonan; Zhang, Weiping
18
2017
Hypoelliptic Laplacian and probability. Zbl 1334.35019
Bismut, Jean-Michel
9
2015
Hypoelliptic Laplacian and Bott-Chern cohomology. A theorem of Riemann-Roch-Grothendieck in complex geometry. Zbl 1273.58001
Bismut, Jean-Michel
15
2013
Index theory and the hypoelliptic Laplacian. Zbl 1251.35020
Bismut, Jean-Michel
5
2012
Hypoelliptic Laplacian and orbital integrals. Zbl 1234.58001
Bismut, Jean-Michel
35
2011
Toeplitz operators and asymptotic analytic torsion. (Opérateurs de Toeplitz et torsion analytique asymptotique.) Zbl 1227.58010
Bismut, Jean-Michel; Ma, Xiaonan; Zhang, Weiping
14
2011
Duistermaat-Heckman formulas and index theory. Zbl 1267.58015
Bismut, Jean-Michel
7
2011
Hypoelliptic Laplacian and Bott-Chern cohomology. (Laplacien hypoelliptique et cohomologie de Bott-Chern.) Zbl 1209.58015
Bismut, Jean-Michel
5
2011
Hypoelliptic Laplacian and orbital integrals. (Laplacien hypoelliptique et intégrales orbitales.) Zbl 1183.58001
Bismut, Jean-Michel
3
2009
The hypoelliptic Laplacian and Ray-Singer metrics. Zbl 1156.58001
Bismut, Jean-Michel; Lebeau, Gilles
27
2008
The hypoelliptic Dirac operator. Zbl 1157.58011
Bismut, Jean-Michel
9
2008
The hypoelliptic Laplacian on a compact Lie group. Zbl 1183.43005
Bismut, Jean-Michel
7
2008
Loop spaces and the hypoelliptic Laplacian. Zbl 1147.58038
Bismut, Jean-Michel
5
2008
A survey of the hypoelliptic Laplacian. Zbl 1180.58001
Bismut, Jean-Michel
4
2008
The hypoelliptic Laplacian on the cotangent bundle. Zbl 1065.35098
Bismut, Jean-Michel
38
2005
Eta invariants, differential characters and flat vector bundles. Zbl 1083.58020
Bismut, J. M.
9
2005
The hypoelliptic Laplacian and analytic torsion. (Laplacien hypoelliptique et torsion analytique.) Zbl 1073.58024
Bismut, Jean-Michel; Lebeau, Gilles
3
2005
Equivariant de Rham torsions. Zbl 1094.58013
Bismut, Jean-Michel; Goette, Sebastian
13
2004
Holomorphic immersions and equivariant torsion forms. Zbl 1063.58019
Bismut, Jean Michel; Ma, Xiaonan
10
2004
The hypoelliptic Laplacian on the cotangent bundle. (Le laplacien hypoelliptique sur le fibré cotangent.) Zbl 1049.58005
Bismut, Jean-Michel
10
2004
Holomorphic and de Rham torsion. Zbl 1091.58020
Bismut, Jean-Michel
8
2004
A deformation of Hodge theory on the cotangent bundle. (Une déformation de la théorie de Hodge sur le fibré cotangent.) Zbl 1044.58005
Bismut, Jean-Michel
6
2004
A deformation in families of Hodge-de Rham theory. (Une déformation en famille du complexe de de Rham-Hodge.) Zbl 1058.58009
Bismut, Jean-Michel
4
2004
The hypoelliptic Laplacian. (Le laplacien hypoelliptique.) Zbl 1292.35097
Bismut, Jean-Michel
1
2004
Families torsion and Morse functions. Zbl 1071.58025
Bismut, Jean-Michel; Goette, Sebastian
25
2001
Holomorphic equivariant analytic torsions. Zbl 0974.58033
Bismut, J.-M.; Goette, S.
9
2000
Symplectic geometry and the Verlinde formulas. Zbl 0997.53066
Bismut, Jean-Michel; Labourie, François
14
1999
Holomorphic equivariant analytical torsions. (Torsions analytiques équivariantes holomorphes.) Zbl 0952.53034
Bismut, Jean-Michel; Goette, Sebastian
1
1999
Local index theory, eta invariants and holomorphic torsion: A survey. Zbl 0967.58014
Bismut, Jean-Michel
5
1998
Local index theory and higher analytic torsion. Zbl 0982.58016
Bismut, Jean-Michel
4
1998
Holomorphic families of immersions and higher analytic torsion forms. Zbl 0899.32013
Bismut, Jean-Michel
25
1997
Quillen metrics and singular fibres in arbitrary relative dimension. Zbl 0871.32003
Bismut, Jean-Michel
10
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
56
1995
Equivariant immersions and Quillen metrics. Zbl 0826.32024
Bismut, Jean-Michel
27
1995
Families of immersions and higher degree analytic torsion forms. (Familles d’immersions et formes de torsion analytique en degré supérieur.) 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.
37
1994
Quillen metrics and higher analytic torsion forms. Zbl 0804.32017
Berthomieu, Alain; Bismut, Jean-Michel
18
1994
Equivariant short exact sequences of vector bundles and their analytic torsion forms. Zbl 0817.32014
Bismut, Jean-Michel
6
1994
Quillen metrics and degenerating Kähler manifolds. (Métriques de Quillen et dégénérescence de variétés kählériennes.) Zbl 0830.32007
Bismut, Jean-Michel
1
1994
Real embeddings and eta invariants. Zbl 0795.57010
Bismut, Jean-Michel; Zhang, Weiping
15
1993
Flat vector bundles, direct images and analytic torsion forms. (Fibrés plats, images directes et formes de torsion analytique.) Zbl 0780.57023
Bismut, Jean-Michel; Lott, John
2
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 0784.32022
Bismut, Jean-Michel
1
1993
Equivariant Quillen metrics and complex embeddings. (Métriques de Quillen équivariantes et plongements complexes.) Zbl 0773.53026
Bismut, Jean-Michel
1
1993
From Quillen metrics to Reidemeister metrics: Some aspects of the Ray- Singer analytic torsion. Zbl 0799.58076
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
124
1992
Higher analytic torsion forms for direct images and anomaly formulas. Zbl 0784.32023
Bismut, Jean-Michel; Köhler, Kai
34
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
9
1992
Complex equivariant intersection, excess normal bundles and Bott-Chern currents. Zbl 0759.53040
Bismut, Jean-Michel
5
1992
On certain infinite dimensional aspects of Arakelov intersection theory. Zbl 0763.53033
Bismut, Jean-Michel
4
1992
Bott-Chern currents, excess normal bundles and the Chern character. Zbl 0776.32007
Bismut, J.-M.
3
1992
Formes de torsion analytique et métriques de Quillen. (Analytic torsion forms and Quillen metrics). Zbl 0774.32018
Berthomieu, Alain; Bismut, Jean-Michel
1
1992
Complex immersions and Quillen metrics. Zbl 0784.32010
Bismut, Jean-Michel; Lebeau, Gilles
99
1991
Remarks on the index theorem for families of Dirac operators on manifolds with boundary. Zbl 0727.58045
Bismut, Jean-Michel; Cheeger, Jeff
11
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 0743.57014
Bismut, 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 0696.53021
Bismut, Jean-Michel; Cheeger, Jeff
34
1990
Complex immersions and Arakelov geometry. Zbl 0744.14015
Bismut, Jean-Michel; Gillet, Henri; Soulé, Christophe
27
1990
Families index for manifolds with boundary, superconnections and cones. II: The Chern character. Zbl 0711.53023
Bismut, Jean-Michel; Cheeger, Jeff
22
1990
Superconnection currents and complex immersions. Zbl 0696.58006
Bismut, Jean-Michel
21
1990
Bott-Chern currents and complex immersions. Zbl 0697.58005
Bismut, J.-M.; Gillet, H.; Soulé, C.
19
1990
Determinant fiber bundles, Quillen metric and degeneracy of curves. (Fibrés déterminants, métriques de Quillen et dégénérescence des courbes.) Zbl 0709.32019
Bismut, J.-M.; Bost, J.-B.
18
1990
Koszul complexes, harmonic oscillators, and the Todd class. Zbl 0702.58071
Bismut, Jean-Michel
15
1990
Equivariant Bott-Chern currents and the Ray-Singer analytic torsion. Zbl 0682.58045
Bismut, Jean-Michel
11
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.
7
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
151
1989
\(\eta\)-invariants and their adiabatic limits. Zbl 0671.58037
Bismut, Jean-Michel; Cheeger, Jeff
93
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
48
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
2
1989
Analytic torsion and holomorphic determinant bundles. I: Bott-Chern forms and analytic torsion. II: Direct images and Bott-Chern forms. III: Quillen metrics on holomorphic determinants. Zbl 0651.32017
Bismut, J.-M.; Gillet, H.; Soulé, C.
298
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
Formules de Lichnerowicz et théorème de l’indice. (Lichnerowicz formulas and index theorem.). Zbl 0648.58033
Bismut, 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 0652.32020
Bismut, Jean-Michel
2
1988
Transgressed Chern forms for Dirac operators. Zbl 0646.46067
Bismut, Jean-Michel
1
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
Demailly’s asymptotic Morse inequalities: a heat equation proof. Zbl 0649.58030
Bismut, Jean-Michel
31
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
2
1987
Index theorem and the heat equation. Zbl 0693.58023
Bismut, Jean-Michel
2
1987
The analysis of elliptic families. I: Metrics and connections on determinant bundles. Zbl 0657.58037
Bismut, Jean-Michel; Freed, Daniel S.
139
1986
The analysis of elliptic families. II: Dirac operators, êta invariants, and the holonomy theorem. Zbl 0657.58038
Bismut, Jean-Michel; Freed, Daniel S.
131
1986
The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs. Zbl 0592.58047
Bismut, Jean-Michel
128
1986
Localization formulas, superconnections, and the index theorem for families. Zbl 0602.58042
Bismut, J.-M.
44
1986
The Witten complex and the degenerate Morse inequalities. Zbl 0608.58038
Bismut, Jean-Michel
30
1986
Probability and geometry. Zbl 0626.58022
Bismut, Jean-Michel
2
1986
Index theorem and equivariant cohomology on the loop space. Zbl 0591.58027
Bismut, Jean-Michel
46
1985
Last exit decompositions and regularity at the boundary of transition probabilities. Zbl 0551.60077
Bismut, Jean-Michel
14
1985
The infinitesimal Lefschetz formulas: A heat equation proof. Zbl 0572.58021
Bismut, Jean-Michel
14
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
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
Inégalités de Morse dégénérées et complexe de Witten. ( Degenerate Morse inequalities and Witten’s complex). Zbl 0608.57023
Bismut, Jean-Michel
1
1985
Large deviations and the Malliavin calculus. Zbl 0537.35003
Bismut, Jean-Michel
231
1984
...and 46 more Documents
all top 5

Cited by 1,928 Authors

72 Bismut, Jean-Michel
35 Ma, Xiaonan
33 Léandre, Rémi
32 Zhang, Weiping
22 Wang, Feng-Yu
21 Elliott, Robert James
20 Wu, Zhen
19 Hu, Ying
17 Tang, Shanjian
16 Dai, Xianzhe
16 Siu, Tak Kuen
16 Zhang, Xicheng
15 Marinescu, George
14 Ludwig, Ursula Beate
14 Su, Guangxiang
14 Thalmaier, Anton
13 Cruzeiro, Ana-Bela
13 Fino, Anna
12 Baudoin, Fabrice
12 El Otmani, Mohamed
12 Ouknine, Youssef
12 Schumacher, Georg
11 Biswas, Indranil
11 Cheng, Lijuan
11 Fang, Shizan
11 Mathai, Varghese
11 Meng, Qingxin
11 Piazza, Paolo
11 Soulé, Christophe
11 Zheng, Fangyang
10 Freed, Daniel Stuart
10 Gillet, Henri A.
10 Holm, Darryl Dallas
10 Ji, Shaolin
10 Lott, John
10 Peng, Shige
10 Rochon, Frédéric
10 Shen, Shu
10 Wang, Yong
9 Freixas i Montplet, Gerard
9 Imkeller, Peter
9 Perkkiö, Ari-Pekka
8 Albin, Pierre
8 Benameur, Moulay-Tahar
8 Güneysu, Batu
8 Ivanov, Stefan P.
8 Liu, Bo
8 Ren, Jiagang
8 Savale, Nikhil
8 Vezzoni, Luigi
8 Yong, Jiongmin
8 Yoshikawa, Ken-Ichi
7 Braverman, Maxim
7 Bunke, Ulrich
7 Del Moral, Pierre
7 Ho, Man-Ho
7 Kunita, Hiroshi
7 Liu, Kefeng
7 Malliavin, Paul
7 Marzougue, Mohamed
7 Monnier, Samuel
7 Nualart, David
7 Paycha, Sylvie
7 Pennanen, Teemu
7 Possamaï, Dylan
7 Qian, Zhongmin M.
7 Scott, Simon G.
7 Shen, Yang
7 Shi, Jingtao
7 Shi, Yufeng
7 Smilga, Andrei V.
7 Streets, Jeffrey D.
7 Takeuchi, Atsushi
7 Ugarte, Luis
7 Ustunel, Ali Suleyman
7 Xiong, Jie
7 Yamada, Toshihiro
7 Yang, Shuzhen
7 Zhang, Haisen
7 Zhang, Huanshui
7 Zhang, Xu
6 Angella, Daniele
6 Arnaudon, Marc
6 Bahlali, Khaled
6 Ben Arous, Gérard
6 Da Prato, Giuseppe
6 Driver, Bruce K.
6 Fan, Xiliang
6 Florchinger, Patrick
6 Friz, Peter
6 Gashi, Bujar
6 Goette, Sebastian
6 Gorokhovsky, Alexander
6 Hairer, Martin
6 Hajli, Mounir
6 Huang, Jianhui
6 Kohlmann, Michael
6 Kordyukov, Yuri A.
6 Li, Xiang-Dong
6 Liu, Bin
...and 1,828 more Authors
all top 5

Cited in 351 Serials

94 Journal of Functional Analysis
90 Communications in Mathematical Physics
82 Stochastic Processes and their Applications
60 Journal of Geometry and Physics
47 Probability Theory and Related Fields
42 Journal of Mathematical Physics
42 Comptes Rendus. Mathématique. Académie des Sciences, Paris
39 Advances in Mathematics
38 Applied Mathematics and Optimization
36 Mathematische Zeitschrift
30 Journal of Mathematical Analysis and Applications
29 The Annals of Probability
29 SIAM Journal on Control and Optimization
28 Stochastic Analysis and Applications
27 Systems & Control Letters
25 Stochastics
25 Annales de l’Institut Fourier
25 Transactions of the American Mathematical Society
25 The Annals of Applied Probability
23 Proceedings of the American Mathematical Society
23 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
22 Duke Mathematical Journal
21 The Journal of Geometric Analysis
21 Science China. Mathematics
20 International Journal of Control
20 Inventiones Mathematicae
20 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
19 Mathematische Annalen
18 Annals of Global Analysis and Geometry
18 Electronic Journal of Probability
17 Statistics & Probability Letters
17 Journal of Theoretical Probability
16 Journal of Differential Equations
16 Journal of Optimization Theory and Applications
16 Manuscripta Mathematica
16 Bulletin des Sciences Mathématiques
16 Stochastics and Dynamics
16 Probability, Uncertainty and Quantitative Risk
15 Journal of High Energy Physics
15 Stochastics
14 International Journal of Mathematics
14 Geometric and Functional Analysis. GAFA
14 Journal de Mathématiques Pures et Appliquées. Neuvième Série
14 Mathematical Control and Related Fields
13 Nuclear Physics. B
13 Random Operators and Stochastic Equations
12 Automatica
12 Differential Geometry and its Applications
12 Journal of Noncommutative Geometry
11 Journal für die Reine und Angewandte Mathematik
11 Potential Analysis
10 Letters in Mathematical Physics
10 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
9 Reports on Mathematical Physics
9 Acta Applicandae Mathematicae
9 Communications in Partial Differential Equations
9 Journal of Nonlinear Science
9 Discrete and Continuous Dynamical Systems
9 Geometry & Topology
9 Journal of Systems Science and Complexity
8 Bulletin of the American Mathematical Society. New Series
8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
8 Journal of Mathematical Sciences (New York)
8 Infinite Dimensional Analysis, Quantum Probability and Related Topics
8 Journal of the European Mathematical Society (JEMS)
8 International Journal of Geometric Methods in Modern Physics
7 Compositio Mathematica
7 Journal of Economic Theory
7 Memoirs of the American Mathematical Society
7 Optimal Control Applications & Methods
7 Journal of the American Mathematical Society
7 Stochastics and Stochastics Reports
7 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
7 Advances in Difference Equations
7 Complex Manifolds
6 Reviews in Mathematical Physics
6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
6 Journal of the Mathematical Society of Japan
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 \(K\)-Theory
6 MCSS. Mathematics of Control, Signals, and Systems
6 Annales Henri Poincaré
6 Journal of the Institute of Mathematics of Jussieu
6 Afrika Matematika
6 Journal de l’École Polytechnique – Mathématiques
5 Communications on Pure and Applied Mathematics
5 Israel Journal of Mathematics
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Applied Mathematics and Computation
5 Bulletin de la Société Mathématique de France
5 Journal of Multivariate Analysis
5 Mathematische Nachrichten
5 Acta Mathematicae Applicatae Sinica. English Series
5 Monte Carlo Methods and Applications
5 Mathematical Problems in Engineering
5 Finance and Stochastics
5 European Journal of Control
5 Acta Mathematica Sinica. English Series
5 Quantitative Finance
5 Analysis & PDE
...and 251 more Serials
all top 5

Cited in 60 Fields

969 Probability theory and stochastic processes (60-XX)
691 Global analysis, analysis on manifolds (58-XX)
393 Systems theory; control (93-XX)
373 Differential geometry (53-XX)
248 Calculus of variations and optimal control; optimization (49-XX)
226 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
199 Partial differential equations (35-XX)
192 Several complex variables and analytic spaces (32-XX)
182 Quantum theory (81-XX)
154 Manifolds and cell complexes (57-XX)
150 Algebraic geometry (14-XX)
91 \(K\)-theory (19-XX)
76 Dynamical systems and ergodic theory (37-XX)
65 Operator theory (47-XX)
65 Algebraic topology (55-XX)
64 Ordinary differential equations (34-XX)
54 Functional analysis (46-XX)
54 Numerical analysis (65-XX)
48 Number theory (11-XX)
46 Operations research, mathematical programming (90-XX)
43 Topological groups, Lie groups (22-XX)
34 Relativity and gravitational theory (83-XX)
27 Statistics (62-XX)
26 Functions of a complex variable (30-XX)
24 Measure and integration (28-XX)
23 Statistical mechanics, structure of matter (82-XX)
19 Mechanics of particles and systems (70-XX)
19 Fluid mechanics (76-XX)
14 Nonassociative rings and algebras (17-XX)
14 Difference and functional equations (39-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
8 Category theory; homological algebra (18-XX)
8 Approximations and expansions (41-XX)
7 General and overarching topics; collections (00-XX)
7 Convex and discrete geometry (52-XX)
7 Biology and other natural sciences (92-XX)
6 Combinatorics (05-XX)
6 Real functions (26-XX)
6 Abstract harmonic analysis (43-XX)
6 Integral equations (45-XX)
5 History and biography (01-XX)
5 Potential theory (31-XX)
5 Computer science (68-XX)
4 Mathematical logic and foundations (03-XX)
4 Commutative algebra (13-XX)
3 Associative rings and algebras (16-XX)
3 Group theory and generalizations (20-XX)
3 Special functions (33-XX)
3 Geometry (51-XX)
3 Mechanics of deformable solids (74-XX)
3 Information and communication theory, circuits (94-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 General topology (54-XX)
2 Geophysics (86-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Field theory and polynomials (12-XX)
1 Integral transforms, operational calculus (44-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.