Bismut, Jean-Michel Toeplitz operators, analytic torsion, and the hypoelliptic Laplacian. (English) Zbl 1386.58017 Lett. Math. Phys. 106, No. 12, 1639-1672 (2016). Reviewer: Jean Raimbault (Toulouse) MSC: 58J52 58J40 35H10 58J20 58J35 11F72 47B35 58-02 PDFBibTeX XMLCite \textit{J.-M. Bismut}, Lett. Math. Phys. 106, No. 12, 1639--1672 (2016; Zbl 1386.58017) Full Text: DOI
Bismut, Jean-Michel Hypoelliptic Laplacian and probability. (English) Zbl 1334.35019 J. Math. Soc. Japan 67, No. 4, 1317-1357 (2015). Reviewer: Jacques Franchi (Strasbourg) MSC: 35H10 58J65 35R01 PDFBibTeX XMLCite \textit{J.-M. Bismut}, J. Math. Soc. Japan 67, No. 4, 1317--1357 (2015; Zbl 1334.35019) Full Text: DOI Euclid
Bismut, Jean-Michel; Cheeger, Jeff Transgressed Euler classes of \(SL(2n,\mathbb{Z})\) vector bundles, adiabatic limits of eta invariants and special values of \(L\)-functions. (English) Zbl 0768.58048 Ann. Sci. Éc. Norm. Supér. (4) 25, No. 4, 335-391 (1992). Reviewer: V.Deundyak (Rostov-na-Donu) MSC: 58J20 57R20 11F41 PDFBibTeX XMLCite \textit{J.-M. Bismut} and \textit{J. Cheeger}, Ann. Sci. Éc. Norm. Supér. (4) 25, No. 4, 335--391 (1992; Zbl 0768.58048) Full Text: DOI Numdam EuDML
Bismut, Jean-Michel Superconnections, local index of families, cohomology determinant, and Quillen metrics. (Superconnexions, indice local des familles, déterminant de la cohomologie et métriques de Quillen.) (French) Zbl 0755.58009 Mém. Soc. Math. Fr., Nouv. Sér. 46, 27-72 (1991). Reviewer: M.Anastasiei (Iaşi) MSC: 58C50 55R40 PDFBibTeX XMLCite \textit{J.-M. Bismut}, Mém. Soc. Math. Fr., Nouv. Sér. 46, 27--72 (1991; Zbl 0755.58009) Full Text: DOI Numdam EuDML
Bismut, Jean-Michel A local index theorem for non-Kähler manifolds. (English) Zbl 0666.58042 Math. Ann. 284, No. 4, 681-699 (1989). Reviewer: J.M.Bismut MSC: 58J20 58J35 PDFBibTeX XMLCite \textit{J.-M. Bismut}, Math. Ann. 284, No. 4, 681--699 (1989; Zbl 0666.58042) Full Text: DOI EuDML
Bismut, Jean-Michel Demailly’s asymptotic Morse inequalities: a heat equation proof. (English) Zbl 0649.58030 J. Funct. Anal. 72, 263-278 (1987). Reviewer: G.Warnecke MSC: 58J10 58J35 57R70 PDFBibTeX XMLCite \textit{J.-M. Bismut}, J. Funct. Anal. 72, 263--278 (1987; Zbl 0649.58030) Full Text: DOI
Bismut, Jean-Michel; Freed, Daniel S. The analysis of elliptic families. II: Dirac operators, êta invariants, and the holonomy theorem. (English) Zbl 0657.58038 Commun. Math. Phys. 107, 103-163 (1986). MSC: 58J10 58J20 PDFBibTeX XMLCite \textit{J.-M. Bismut} and \textit{D. S. Freed}, Commun. Math. Phys. 107, 103--163 (1986; Zbl 0657.58038) Full Text: DOI
Bismut, J.-M. Localization formulas, superconnections, and the index theorem for families. (English) Zbl 0602.58042 Commun. Math. Phys. 103, 127-166 (1986). Reviewer: J.Marschall MSC: 58J22 PDFBibTeX XMLCite \textit{J. M. Bismut}, Commun. Math. Phys. 103, 127--166 (1986; Zbl 0602.58042) Full Text: DOI
Bismut, Jean-Michel The Atiyah-Singer theorems: A probabilistic approach. I: The index theorem. (English) Zbl 0538.58033 J. Funct. Anal. 57, 56-99 (1984). Reviewer: P.Gilkey MSC: 58J20 58J10 58J65 PDFBibTeX XMLCite \textit{J.-M. Bismut}, J. Funct. Anal. 57, 56--99 (1984; Zbl 0538.58033) Full Text: DOI
Bismut, Jean-Michel Convex inequalities in stochastic control. (English) Zbl 0474.93071 J. Funct. Anal. 42, 226-270 (1981). MSC: 93E20 60J45 90C25 60G40 60J60 PDFBibTeX XMLCite \textit{J.-M. Bismut}, J. Funct. Anal. 42, 226--270 (1981; Zbl 0474.93071) Full Text: DOI
Bismut, Jean-Michel Conjugate convex functions in optimal stochastic control. (English) Zbl 0276.93060 J. Math. Anal. Appl. 44, 383-404 (1973). MSC: 93E20 60H99 PDFBibTeX XMLCite \textit{J.-M. Bismut}, J. Math. Anal. Appl. 44, 383--404 (1973; Zbl 0276.93060) Full Text: DOI
Bismut, Jean-Michel Intégrales convexes et probabilités. (French) Zbl 0268.60003 J. Math. Anal. Appl. 42, 639-673 (1973). MSC: 60Bxx 93E99 PDFBibTeX XMLCite \textit{J.-M. Bismut}, J. Math. Anal. Appl. 42, 639--673 (1973; Zbl 0268.60003) Full Text: DOI