Arnaudon, M.; Del Moral, P. A second order analysis of McKean-Vlasov semigroups. (English) Zbl 1504.60136 Ann. Appl. Probab. 30, No. 6, 2613-2664 (2020). Reviewer: Heinrich Hering (Rockenberg) MSC: 60J60 60H07 60H30 PDFBibTeX XMLCite \textit{M. Arnaudon} and \textit{P. Del Moral}, Ann. Appl. Probab. 30, No. 6, 2613--2664 (2020; Zbl 1504.60136) Full Text: DOI arXiv Link
Arnaudon, Marc; Li, Xue-Mei Reflected Brownian motion: selection, approximation and linearization. (English) Zbl 1361.60071 Electron. J. Probab. 22, Paper No. 31, 55 p. (2017). MSC: 60J65 60H10 60H30 60J55 35K05 PDFBibTeX XMLCite \textit{M. Arnaudon} and \textit{X.-M. Li}, Electron. J. Probab. 22, Paper No. 31, 55 p. (2017; Zbl 1361.60071) Full Text: DOI arXiv Euclid
Arnaudon, Marc; Miclo, Laurent A stochastic algorithm finding \(p\)-means on the circle. (English) Zbl 1385.60020 Bernoulli 22, No. 4, 2237-2300 (2016). MSC: 60D05 58C35 60B05 60H30 PDFBibTeX XMLCite \textit{M. Arnaudon} and \textit{L. Miclo}, Bernoulli 22, No. 4, 2237--2300 (2016; Zbl 1385.60020) Full Text: DOI arXiv Euclid
Arnaudon, Marc; Cruzeiro, Ana Bela Stochastic Lagrangian flows and the Navier-Stokes equations. (English) Zbl 1333.60005 Dalang, Robert C. (ed.) et al., Stochastic analysis: a series of lectures. Centre Interfacultaire Bernoulli, January–June 2012, École Polytechnique Fédérale Lausanne, Switzerland. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0908-5/hbk; 978-3-0348-0909-2/ebook). Progress in Probability 68, 55-75 (2015). MSC: 60-02 60H30 60H10 60H07 35Q30 76D05 76M35 PDFBibTeX XMLCite \textit{M. Arnaudon} and \textit{A. B. Cruzeiro}, Prog. Probab. 68, 55--75 (2015; Zbl 1333.60005) Full Text: DOI
Arnaudon, Marc; Thalmaier, Anton; Wang, Feng-Yu Equivalent Harnack and gradient inequalities for pointwise curvature lower bound. (English) Zbl 1296.58024 Bull. Sci. Math. 138, No. 5, 643-655 (2014). Reviewer: Simon Eloshvili (Tbilisi) MSC: 58J65 60H30 PDFBibTeX XMLCite \textit{M. Arnaudon} et al., Bull. Sci. Math. 138, No. 5, 643--655 (2014; Zbl 1296.58024) Full Text: DOI arXiv
Antoniouk, Alexandra; Arnaudon, Marc Variational principle for weighted porous media equation. (Principe variationnel pour l’èquation des milieux poreux.) (English. French summary) Zbl 1284.35236 C. R., Math., Acad. Sci. Paris 352, No. 1, 31-34 (2014). MSC: 35K65 35A15 60H30 PDFBibTeX XMLCite \textit{A. Antoniouk} and \textit{M. Arnaudon}, C. R., Math., Acad. Sci. Paris 352, No. 1, 31--34 (2014; Zbl 1284.35236) Full Text: DOI arXiv
Arnaudon, Marc; Cruzeiro, Ana Bela Stochastic Lagrangian flows on some compact manifolds. (English) Zbl 1266.58021 Stochastics 84, No. 2-3, 367-381 (2012). Reviewer: Raouf Ghomrasni (Muizenberg) MSC: 58J65 60H30 60H10 PDFBibTeX XMLCite \textit{M. Arnaudon} and \textit{A. B. Cruzeiro}, Stochastics 84, No. 2--3, 367--381 (2012; Zbl 1266.58021) Full Text: DOI
Arnaudon, M. (ed.); Fang, S. (ed.); Franchi, J. (ed.) Special issue: Conference in memory of Paul Malliavin. Selected papers based on the presentations at the conference, Dijon, France, October 4–6, 2010. (English) Zbl 1255.60002 Bull. Sci. Math. 135, No. 6-7, 541-882 (2011). MSC: 60-06 60H07 60H30 00B25 PDFBibTeX XML
Arnaudon, Marc; Thalmaier, Anton Brownian motion and negative curvature. (English) Zbl 1228.58020 Lenz, Daniel (ed.) et al., Random walks, boundaries and spectra. Proceedings of the workshop on boundaries, Graz, Austria, June 29–July 3, 2009 and the Alp-workshop, Sankt Kathrein, Austria, July 4–5, 2009. Basel: Birkhäuser (ISBN 978-3-0346-0243-3/hbk; 978-3-0346-0244-0/ebook). Progress in Probability 64, 143-161 (2011). Reviewer: Elisa Alòs (Barcelona) MSC: 58J65 60H30 PDFBibTeX XMLCite \textit{M. Arnaudon} and \textit{A. Thalmaier}, Prog. Probab. 64, 143--161 (2011; Zbl 1228.58020) Full Text: DOI Link
Arnaudon, Marc; Thalmaier, Anton The differentiation of hypoelliptic diffusion semigroups. (English) Zbl 1270.60073 Ill. J. Math. 54, No. 4, 1285-1311 (2010). Reviewer: Isamu Dôku (Saitama) MSC: 60H30 60H10 60H07 PDFBibTeX XMLCite \textit{M. Arnaudon} and \textit{A. Thalmaier}, Ill. J. Math. 54, No. 4, 1285--1311 (2010; Zbl 1270.60073) Full Text: arXiv Euclid
Arnaudon, Marc; Thalmaier, Anton Li-Yau type gradient estimates and Harnack inequalities by stochastic analysis. (English) Zbl 1201.58023 Kotani, Motoko (ed.) et al., Probabilistic approach to geometry. Proceedings of the 1st international conference, Kyoto, Japan, 28th July – 8th August, 2008. Tokyo: Mathematical Society of Japan (MSJ) (ISBN 978-4-931469-58-7/hbk). Advanced Studies in Pure Mathematics 57, 29-48 (2010). Reviewer: Jean Picard (Aubière) MSC: 58J65 60H30 58J35 PDFBibTeX XMLCite \textit{M. Arnaudon} and \textit{A. Thalmaier}, Adv. Stud. Pure Math. 57, 29--48 (2010; Zbl 1201.58023) Full Text: arXiv
Arnaudon, Marc; Thalmaier, Anton; Wang, Feng-Yu Gradient estimates and Harnack inequalities on non-compact Riemannian manifolds. (English) Zbl 1178.58013 Stochastic Processes Appl. 119, No. 10, 3653-3670 (2009). Reviewer: Raouf Ghomrasni (Muizenberg) MSC: 58J65 58J35 60H30 PDFBibTeX XMLCite \textit{M. Arnaudon} et al., Stochastic Processes Appl. 119, No. 10, 3653--3670 (2009; Zbl 1178.58013) Full Text: DOI arXiv
Arnaudon, Marc; Thalmaier, Anton; Ulsamer, Stefanie Existence of non-trivial harmonic functions on Cartan-Hadamard manifolds of unbounded curvature. (English) Zbl 1172.58011 Math. Z. 263, No. 2, 369-409 (2009). MSC: 58J65 60H30 31C12 PDFBibTeX XMLCite \textit{M. Arnaudon} et al., Math. Z. 263, No. 2, 369--409 (2009; Zbl 1172.58011) Full Text: DOI arXiv
Arnaudon, Marc; Driver, Bruce K.; Thalmaier, Anton Gradient estimates for positive harmonic functions by stochastic analysis. (English) Zbl 1144.58020 Stochastic Processes Appl. 117, No. 2, 202-220 (2007). Reviewer: Simon Eloshvili (Tbilisi) MSC: 58J65 60H30 PDFBibTeX XMLCite \textit{M. Arnaudon} et al., Stochastic Processes Appl. 117, No. 2, 202--220 (2007; Zbl 1144.58020) Full Text: DOI
Arnaudon, Marc; Thalmaier, Anton; Wang, Feng-Yu Harnack inequality and heat kernel estimates on manifolds with curvature unbounded below. (English) Zbl 1089.58024 Bull. Sci. Math. 130, No. 3, 223-233 (2006). MSC: 58J65 60H30 47D07 60H10 PDFBibTeX XMLCite \textit{M. Arnaudon} et al., Bull. Sci. Math. 130, No. 3, 223--233 (2006; Zbl 1089.58024) Full Text: DOI Link
Arnaudon, Marc; Simon, Thomas Concentration of the Brownian bridge on Cartan-Hadamard manifolds with pinched negative sectional curvature. (English) Zbl 1075.58019 Ann. Inst. Fourier 55, No. 3, 891-930 (2005). Reviewer: Jacques Franchi (Strasbourg) MSC: 58J65 60F10 60H30 PDFBibTeX XMLCite \textit{M. Arnaudon} and \textit{T. Simon}, Ann. Inst. Fourier 55, No. 3, 891--930 (2005; Zbl 1075.58019) Full Text: DOI arXiv Numdam EuDML
Arnaudon, Marc; Thalmaier, Anton Yang-Mills fields and random holonomy along Brownian bridges. (English) Zbl 1029.58025 Ann. Probab. 31, No. 2, 769-790 (2003). Reviewer: Nicolas Privault (La Rochelle) MSC: 58J65 60H30 PDFBibTeX XMLCite \textit{M. Arnaudon} and \textit{A. Thalmaier}, Ann. Probab. 31, No. 2, 769--790 (2003; Zbl 1029.58025) Full Text: DOI
Arnaudon, M.; Thalmaier, A. Complete lifts of connections and stochastic Jacobi fields. (English) Zbl 0916.58045 J. Math. Pures Appl., IX. Sér. 77, No. 3, 283-315 (1998). Reviewer: Beniamin Goldys (Kensington) MSC: 58J65 60H30 58J35 58E20 PDFBibTeX XMLCite \textit{M. Arnaudon} and \textit{A. Thalmaier}, J. Math. Pures Appl. (9) 77, No. 3, 283--315 (1998; Zbl 0916.58045) Full Text: DOI