Lelièvre, Tony; Le Peutrec, Dorian; Nectoux, Boris The exit from a metastable state: concentration of the exit point distribution on the low energy saddle points. II. (English) Zbl 1486.60103 Stoch. Partial Differ. Equ., Anal. Comput. 10, No. 1, 317-357 (2022). MSC: 60J60 60H10 35B25 60F10 35J25 PDFBibTeX XMLCite \textit{T. Lelièvre} et al., Stoch. Partial Differ. Equ., Anal. Comput. 10, No. 1, 317--357 (2022; Zbl 1486.60103) Full Text: DOI
Di Gesù, Giacomo; Lelièvre, Tony; Le Peutrec, Dorian; Nectoux, Boris The exit from a metastable state: concentration of the exit point distribution on the low energy saddle points. I. (English. French summary) Zbl 1445.60055 J. Math. Pures Appl. (9) 138, 242-306 (2020). MSC: 60J60 58J65 35Q82 58C40 81Q20 PDFBibTeX XMLCite \textit{G. Di Gesù} et al., J. Math. Pures Appl. (9) 138, 242--306 (2020; Zbl 1445.60055) Full Text: DOI arXiv
Le Peutrec, Dorian; Nectoux, Boris Repartition of the quasi-stationary distribution and first exit point density for a double-well potential. (English) Zbl 1430.35175 SIAM J. Math. Anal. 52, No. 1, 581-604 (2020). MSC: 35P15 60J60 35J10 82C31 35P20 47F05 35Q82 PDFBibTeX XMLCite \textit{D. Le Peutrec} and \textit{B. Nectoux}, SIAM J. Math. Anal. 52, No. 1, 581--604 (2020; Zbl 1430.35175) Full Text: DOI arXiv
Gesù, Giacomo Di; Lelièvre, Tony; Peutrec, Dorian Le; Nectoux, Boris Sharp asymptotics of the first exit point density. (English) Zbl 1431.60087 Ann. PDE 5, No. 1, Paper No. 5, 174 p. (2019). MSC: 60J60 58J65 60H10 60J27 PDFBibTeX XMLCite \textit{G. Di Gesù} et al., Ann. PDE 5, No. 1, Paper No. 5, 174 p. (2019; Zbl 1431.60087) Full Text: DOI arXiv
Le Peutrec, Dorian On Witten Laplacians and Brascamp-Lieb’s inequality on manifolds with boundary. (English) Zbl 1372.35013 Integral Equations Oper. Theory 87, No. 3, 411-434 (2017). MSC: 35A23 81Q10 53C21 58J32 58J10 PDFBibTeX XMLCite \textit{D. Le Peutrec}, Integral Equations Oper. Theory 87, No. 3, 411--434 (2017; Zbl 1372.35013) Full Text: DOI arXiv
Le Peutrec, Dorian; Nier, Francis; Viterbo, Claude Precise Arrhenius law for \(p\)-forms: the Witten Laplacian and Morse-Barannikov complex. (English) Zbl 1275.58018 Ann. Henri Poincaré 14, No. 3, 567-610 (2013). Reviewer: Jacques Franchi (Strasbourg) MSC: 58J65 58J50 60J65 47B25 47A55 47A11 PDFBibTeX XMLCite \textit{D. Le Peutrec} et al., Ann. Henri Poincaré 14, No. 3, 567--610 (2013; Zbl 1275.58018) Full Text: DOI arXiv
Le Peutrec, D. Small eigenvalues of the Neumann realization of the semiclassical Witten Laplacian. (English) Zbl 1213.58023 Ann. Fac. Sci. Toulouse, Math. (6) 19, No. 3-4, 735-809 (2010). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J50 58E05 PDFBibTeX XMLCite \textit{D. Le Peutrec}, Ann. Fac. Sci. Toulouse, Math. (6) 19, No. 3--4, 735--809 (2010; Zbl 1213.58023) Full Text: DOI EuDML