Edit Profile (opens in new tab) Baudoin, Fabrice Co-Author Distance Author ID: baudoin.fabrice Published as: Baudoin, Fabrice; Baudoin, F. Homepage: https://sites.google.com/site/fabricebaudoinwebpage/ External Links: MGP · Google Scholar · ResearchGate · dblp · GND Videos: carmin.tv Documents Indexed: 121 Publications since 2002, including 3 Books and 21 Additional arXiv Preprints 1 Contribution as Editor Reviewing Activity: 2 Reviews Biographic References: 1 Publication Co-Authors: 59 Co-Authors with 102 Joint Publications 1,395 Co-Co-Authors all top 5 Co-Authors 20 single-authored 14 Chen, Li 13 Wang, Jing 10 Bonnefont, Michel 10 Ouyang, Cheng 9 Alonso-Ruiz, Patricia 8 Gordina, Maria 7 Grong, Erlend 6 Demni, Nizar 6 Garofalo, Nicola 5 Rogers, Luke G. 5 Shanmugalingam, Nageswari 5 Teplyaev, Alexander 4 Bañuelos, Rodrigo 4 Coutin, Laure 4 Tindel, Samy 3 Cho, Gunhee 3 Feng, Qi 3 Kim, Bumsik 3 Mariano, Phanuel A. 3 Melcher, Tai 3 Sire, Yannick 3 Thalmaier, Anton 3 Vega-Molino, Sylvie 3 Zhang, Xuejing 2 Bakry, Dominique 2 Hairer, Martin 2 Herzog, David P. 2 Kuwada, Kazumasa 2 Lacaux, Céline 2 Lang, Quanjun 2 Neel, Robert Weston 2 Nualart, David 2 Rizzi, Luca 2 Teichmann, Josef 2 Yang, Guang 1 Amiran, Ayelet 1 Brock, Skylyn 1 Cecil, Matthew 1 Chafaï, Djalil 1 Coster, Berend 1 Craver, Ryan 1 Eldredge, Nathaniel Gilbert Bartsch 1 Ezeaka, Ugonna 1 Huang, Che-Hung 1 Kelleher, Daniel J. 1 Kim, Jina 1 Munive, Isidro Humberto 1 Munteanu, Ovidiu 1 Nguyen-Ngoc, Laurent 1 Nualart, Eulalia 1 O’Connell, Neil 1 Peterson, Jonathon 1 Qian, Bin 1 Ruiz, Patrica Alonso 1 Sarkar, Rohan 1 Tardif, Camille 1 Thieullen, Michèle 1 Vatamanelu, Alice 1 Wishart, Mary all top 5 Serials 10 Journal of Functional Analysis 7 Potential Analysis 6 Stochastic Processes and their Applications 5 Electronic Journal of Probability 4 The Annals of Probability 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Transactions of the American Mathematical Society 3 Probability Theory and Related Fields 3 IMRN. International Mathematics Research Notices 3 The Journal of Geometric Analysis 3 Calculus of Variations and Partial Differential Equations 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Archiv der Mathematik 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the American Mathematical Society 2 Annals of Global Analysis and Geometry 2 Electronic Communications in Probability 2 Annales Fennici Mathematici 1 Archive for Rational Mechanics and Analysis 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Revista Matemática Iberoamericana 1 Journal of Theoretical Probability 1 Forum Mathematicum 1 The Annals of Applied Probability 1 Differential Geometry and its Applications 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Communications in Analysis and Geometry 1 Bulletin des Sciences Mathématiques 1 Finance and Stochastics 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Markov Processes and Related Fields 1 Journal of the European Mathematical Society (JEMS) 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Progress in Probability 1 EMS Tracts in Mathematics 1 Kinetic and Related Models 1 Involve 1 Journal of Fractal Geometry 1 EMS Textbooks in Mathematics all top 5 Fields 56 Probability theory and stochastic processes (60-XX) 39 Global analysis, analysis on manifolds (58-XX) 33 Differential geometry (53-XX) 28 Partial differential equations (35-XX) 12 Measure and integration (28-XX) 10 Potential theory (31-XX) 10 Functional analysis (46-XX) 7 Real functions (26-XX) 6 Topological groups, Lie groups (22-XX) 6 Operator theory (47-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Functions of a complex variable (30-XX) 3 Abstract harmonic analysis (43-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 86 Publications have been cited 1,134 times in 608 Documents Cited by ▼ Year ▼ Curvature-dimension inequalities and Ricci lower bounds for sub-Riemannian manifolds with transverse symmetries. Zbl 1359.53018 Baudoin, Fabrice; Garofalo, Nicola 92 2017 A sub-Riemannian curvature-dimension inequality, volume doubling property and the Poincaré inequality. Zbl 1287.53025 Baudoin, Fabrice; Bonnefont, Michel; Garofalo, Nicola 50 2014 A version of Hörmander’s theorem for the fractional Brownian motion. Zbl 1123.60038 Baudoin, Fabrice; Hairer, Martin 50 2007 On gradient bounds for the heat kernel on the Heisenberg group. Zbl 1156.58009 Bakry, Dominique; Baudoin, Fabrice; Bonnefont, Michel; Chafaï, Djalil 50 2008 An introduction to the geometry of stochastic flows. Zbl 1085.60002 Baudoin, Fabrice 43 2004 Bakry-Émery meet Villani. Zbl 1373.35061 Baudoin, Fabrice 42 2017 The subelliptic heat kernel on \(\mathbf{SU}(2)\): representations, asymptotics and gradient bounds. Zbl 1189.58009 Baudoin, Fabrice; Bonnefont, Michel 40 2009 Conditioned stochastic differential equations: theory, examples and application to finance. Zbl 1058.60040 Baudoin, Fabrice 37 2002 Operators associated with a stochastic differential equation driven by fractional Brownian motions. Zbl 1119.60043 Baudoin, Fabrice; Coutin, Laure 36 2007 Equivalence of Volterra processes. Zbl 1075.60519 Baudoin, Fabrice; Nualart, David 32 2005 Log-Sobolev inequalities for subelliptic operators satisfying a generalized curvature dimension inequality. Zbl 1254.58004 Baudoin, Fabrice; Bonnefont, Michel 29 2012 Sub-Laplacians and hypoelliptic operators on totally geodesic Riemannian foliations. Zbl 1379.53035 Baudoin, Fabrice 26 2016 On probability laws of solutions to differential systems driven by a fractional Brownian motion. Zbl 1352.60081 Baudoin, F.; Nualart, E.; Ouyang, C.; Tindel, S. 24 2016 Transverse Weitzenböck formulas and curvature dimension inequalities on Riemannian foliations with totally geodesic leaves. Zbl 1369.53020 Baudoin, Fabrice; Kim, Bumsik; Wang, Jing 22 2016 Upper bounds for the density of solutions to stochastic differential equations driven by fractional Brownian motions. Zbl 1286.60051 Baudoin, Fabrice; Ouyang, Cheng; Tindel, Samy 21 2014 Perelman’s entropy and doubling property on Riemannian manifolds. Zbl 1238.58024 Baudoin, Fabrice; Garofalo, Nicola 21 2011 The subelliptic heat kernel on the CR sphere. Zbl 1277.32037 Baudoin, Fabrice; Wang, Jing 20 2013 Curvature dimension inequalities and subelliptic heat kernel gradient bounds on contact manifolds. Zbl 1321.53034 Baudoin, Fabrice; Wang, Jing 19 2014 Small-time kernel expansion for solutions of stochastic differential equations driven by fractional Brownian motions. Zbl 1222.60034 Baudoin, Fabrice; Ouyang, Cheng 19 2011 Exponential functionals of Brownian motion and class-one Whittaker functions. Zbl 1269.60066 Baudoin, Fabrice; O’Connell, Neil 19 2011 Martingale transforms and their projection operators on manifolds. Zbl 1280.58022 Bañuelos, Rodrigo; Baudoin, Fabrice 19 2013 Besov class via heat semigroup on Dirichlet spaces. I: Sobolev type inequalities. Zbl 1504.47069 Ruiz, Patricia Alonso; Baudoin, Fabrice; Chen, Li; Rogers, Luke G.; Shanmugalingam, Nageswari; Teplyaev, Alexander 19 2020 A note on the boundedness of Riesz transform for some subelliptic operators. Zbl 1316.58029 Baudoin, Fabrice; Garofalo, Nicola 19 2013 Hypoellipticity in infinite dimensions and an application in interest rate theory. Zbl 1081.60039 Baudoin, Fabrice; Teichmann, Josef 18 2005 Besov class via heat semigroup on Dirichlet spaces. II: BV functions and Gaussian heat kernel estimates. Zbl 1441.31007 Alonso-Ruiz, Patricia; Baudoin, Fabrice; Chen, Li; Rogers, Luke; Shanmugalingam, Nageswari; Teplyaev, Alexander 17 2020 Diffusion processes and stochastic calculus. Zbl 1318.60001 Baudoin, Fabrice 17 2014 Gamma calculus beyond Villani and explicit convergence estimates for Langevin dynamics with singular potentials. Zbl 1478.60215 Baudoin, Fabrice; Gordina, Maria; Herzog, David P. 16 2021 Reverse Poincaré inequalities, isoperimetry, and Riesz transforms in Carnot groups. Zbl 1330.35009 Baudoin, Fabrice; Bonnefont, Michel 16 2016 The subelliptic heat kernels of the quaternionic Hopf fibration. Zbl 1304.35234 Baudoin, Fabrice; Wang, Jing 15 2014 Quasi-invariance for heat kernel measures on sub-Riemannian infinite-dimensional Heisenberg groups. Zbl 1294.35182 Baudoin, Fabrice; Gordina, Maria; Melcher, Tai 14 2013 Differential one-forms on Dirichlet spaces and Bakry-Émery estimates on metric graphs. Zbl 1417.31010 Baudoin, Fabrice; Kelleher, Daniel J. 14 2019 Volume and distance comparison theorems for sub-Riemannian manifolds. Zbl 1303.53042 Baudoin, Fabrice; Bonnefont, Michel; Garofalo, Nicola; Munive, Isidro H. 14 2014 Subelliptic Li–Yau estimations on three dimensional model spaces. Zbl 1199.35051 Bakry, Dominique; Baudoin, Fabrice; Bonnefont, Michel; Qian, Bin 12 2008 Sub-Laplacian comparison theorems on totally geodesic Riemannian foliations. Zbl 1419.53034 Baudoin, Fabrice; Grong, Erlend; Kuwada, Kazumasa; Thalmaier, Anton 12 2019 Modeling anticipations on financial markets. Zbl 1180.91320 Baudoin, Fabrice 11 2003 Sobolev, Poincaré, and isoperimetric inequalities for subelliptic diffusion operators satisfying a generalized curvature dimension inequality. Zbl 1287.53026 Baudoin, Fabrice; Kim, Bumsik 11 2014 Besov class via heat semigroup on Dirichlet spaces. III: BV functions and sub-Gaussian heat kernel estimates. Zbl 1477.31042 Alonso-Ruiz, Patricia; Baudoin, Fabrice; Chen, Li; Rogers, Luke; Shanmugalingam, Nageswari; Teplyaev, Alexander 11 2021 Stochastic areas, winding numbers and Hopf fibrations. Zbl 1382.58027 Baudoin, Fabrice; Wang, Jing 10 2017 Stochastic analysis on sub-Riemannian manifolds with transverse symmetries. Zbl 1386.58019 Baudoin, Fabrice 9 2017 Ornstein-Uhlenbeck processes on Lie groups. Zbl 1151.58018 Baudoin, Fabrice; Hairer, Martin; Teichmann, Josef 9 2008 The Lichnerowicz-Obata theorem on sub-Riemannian manifolds with transverse symmetries. Zbl 1336.53043 Baudoin, Fabrice; Kim, Bumsik 9 2016 Varadhan estimates for rough differential equations driven by fractional Brownian motions. Zbl 1322.60083 Baudoin, Fabrice; Ouyang, Cheng; Zhang, Xuejing 8 2015 Gagliardo-Nirenberg, Trudinger-Moser and Morrey inequalities on Dirichlet spaces. Zbl 1470.46054 Alonso Ruiz, Patricia; Baudoin, Fabrice 8 2021 Further exponential generalization of Pitman’s \(2M-X\) theorem. Zbl 1008.60088 Baudoin, Fabrice 6 2002 Taylor expansion for the solution of a stochastic differential equation driven by fractional Brownian motions. Zbl 1252.60052 Baudoin, Fabrice; Zhang, Xuejing 6 2012 Integration by parts and quasi-invariance for the horizontal Wiener measure on foliated compact manifolds. Zbl 1427.53028 Baudoin, Fabrice; Feng, Qi; Gordina, Maria 6 2019 The financial value of a weak information on a financial market. Zbl 1064.60082 Baudoin, Fabrice; Nguyen-Ngoc, Laurent 6 2004 Smoothing effect of rough differential equations driven by fractional Brownian motions. Zbl 1335.60084 Baudoin, Fabrice; Ouyang, Cheng; Zhang, Xuejing 6 2016 Hypocoercive estimates on foliations and velocity spherical Brownian motion. Zbl 1374.60150 Baudoin, Fabrice; Tardif, Camille 6 2018 H-type foliations. Zbl 1503.53059 Baudoin, Fabrice; Grong, Erlend; Rizzi, Luca; Vega-Molino, Gianmarco 6 2022 Self-similarity and fractional Brownian motion on Lie groups. Zbl 1189.60083 Baudoin, Fabrice; Coutin, Laure 5 2008 Curvature-dimension estimates for the Laplace-Beltrami operator of a totally geodesic foliation. Zbl 1329.58017 Baudoin, Fabrice; Bonnefont, Michel 5 2015 The subelliptic heat kernel on the three-dimensional solvable Lie groups. Zbl 1330.58018 Baudoin, Fabrice; Cecil, Matthew 5 2015 A note on lower bounds estimates for the Neumann eigenvalues of manifolds with positive Ricci curvature. Zbl 1257.58016 Baudoin, Fabrice; Vatamanelu, Alice 4 2012 Gradient bounds for solutions of stochastic differential equations driven by fractional Brownian motions. Zbl 1281.60053 Baudoin, Fabrice; Ouyang, Cheng 4 2013 Volterra bridges and applications. Zbl 1148.60022 Baudoin, F.; Coutin, L. 4 2007 Brownian motions and heat kernel lower bounds on Kähler and quaternion Kähler manifolds. Zbl 1486.35242 Baudoin, Fabrice; Yang, Guang 4 2022 Stochastic Taylor expansions and heat kernel asymptotics. Zbl 1306.60099 Baudoin, Fabrice 3 2012 Integral representation of the sub-elliptic heat kernel on the complex anti-de Sitter fibration. Zbl 1411.35075 Baudoin, Fabrice; Demni, Nizar 3 2018 Radial processes for sub-Riemannian Brownian motions and applications. Zbl 1451.53046 Baudoin, Fabrice; Grong, Erlend; Kuwada, Kazumasa; Neel, Robert; Thalmaier, Anton 3 2020 On the Cheng-Yau gradient estimate for Carnot groups and sub-Riemannian manifolds. Zbl 1425.53041 Baudoin, Fabrice; Gordina, Maria; Mariano, Phanuel 3 2019 On small time asymptotics for rough differential equations driven by fractional Brownian motions. Zbl 1418.91623 Baudoin, Fabrice; Ouyang, Cheng 3 2015 Notes on the two-dimensional fractional Brownian motion. Zbl 1093.60016 Baudoin, Fabrice; Nualart, David 3 2006 A Bismut type theorem for subelliptic heat semigroups. Zbl 1169.58004 Baudoin, Fabrice 3 2007 Transverse Weitzenböck formulas and de Rham cohomology of totally geodesic foliations. Zbl 1422.53020 Baudoin, Fabrice; Grong, Erlend 3 2019 Sobolev spaces and Poincaré inequalities on the Vicsek fractal. Zbl 1521.31026 Baudoin, Fabrice; Chen, Li 3 2023 The subelliptic heat kernel of the octonionic Hopf fibration. Zbl 1481.58012 Baudoin, Fabrice; Cho, Gunhee 3 2021 Skew-product decompositions of Brownian motions on manifolds: A probabilistic aspect of the Lichnerowicz–Szabo theorem. Zbl 1018.58027 Baudoin, Fabrice 2 2002 SDE solutions, at small times, driven by fractional Brownian motions. (Étude en temps petit des solutions d’EDS conduites par des mouvements browniens fractionnaires.) Zbl 1073.60061 Baudoin, Fabrice; Coutin, Laure 2 2005 The horizontal heat kernel on the quaternionic anti-de Sitter spaces and related twistor spaces. Zbl 1462.53045 Baudoin, Fabrice; Demni, Nizar; Wang, Jing 2 2020 Gradient bounds for Kolmogorov type diffusions. Zbl 1454.60121 Baudoin, Fabrice; Gordina, Maria; Mariano, Phanuel 2 2020 Gundy-Varopoulos martingale transforms and their projection operators on manifolds and vector bundles. Zbl 1462.58018 Bañuelos, Rodrigo; Baudoin, Fabrice; Chen, Li 2 2020 Geometric inequalities on Riemannian and sub-Riemannian manifolds by heat semigroups techniques. Zbl 1526.58011 Baudoin, Fabrice 2 2022 Yet another heat semigroup characterization of BV functions on Riemannian manifolds. Zbl 1534.58014 Alonso Ruiz, Patricia; Baudoin, Fabrice 2 2023 Fractional Gaussian fields on the Sierpiński gasket and related fractals. Zbl 1502.60076 Baudoin, Fabrice; Lacaux, Céline 2 2022 Brownian Chen series and Atiyah-Singer theorem. Zbl 1147.58017 Baudoin, Fabrice 2 2008 The subelliptic heat kernel of the octonionic anti-de Sitter fibration. Zbl 1464.58010 Baudoin, Fabrice; Cho, Gunhee 2 2021 Density of the signature process of fBm. Zbl 1469.60176 Baudoin, Fabrice; Feng, Qi; Ouyang, Cheng 2 2020 Asymptotic windings of the block determinants of a unitary Brownian motion and related diffusions. Zbl 1491.60138 Baudoin, Fabrice; Wang, Jing 2 2021 Sub-Riemannian balls in CR Sasakian manifolds. Zbl 1272.32036 Baudoin, Fabrice; Bonnefont, Michel 1 2013 Pinning class of the Wiener measure by a functional: Related martingales and invariance properties. Zbl 1027.60037 Baudoin, Fabrice; Thieullen, Michèle 1 2003 The tangent space to a hypoelliptic diffusion and applications. Zbl 1063.60113 Baudoin, Fabrice 1 2005 Stochastic differential equations driven by loops in Carnot groups. (Équations différentielles stochastiques conduites par des lacets dans les groupes de Carnot.) Zbl 1044.60053 Baudoin, Fabrice 1 2004 Oscillations of BV measures on unbounded nested fractals. Zbl 1528.26019 Ruiz, Patricia Alonso; Baudoin, Fabrice 1 2022 A note on first eigenvalue estimates by coupling methods in Kähler and quaternion Kähler manifolds. Zbl 1487.53070 Baudoin, Fabrice; Cho, Gunhee; Yang, Guang 1 2022 Transportation inequalities for Markov kernels and their applications. Zbl 1503.39017 Baudoin, Fabrice; Eldredge, Nathaniel 1 2021 Sobolev spaces and Poincaré inequalities on the Vicsek fractal. Zbl 1521.31026 Baudoin, Fabrice; Chen, Li 3 2023 Yet another heat semigroup characterization of BV functions on Riemannian manifolds. Zbl 1534.58014 Alonso Ruiz, Patricia; Baudoin, Fabrice 2 2023 H-type foliations. Zbl 1503.53059 Baudoin, Fabrice; Grong, Erlend; Rizzi, Luca; Vega-Molino, Gianmarco 6 2022 Brownian motions and heat kernel lower bounds on Kähler and quaternion Kähler manifolds. Zbl 1486.35242 Baudoin, Fabrice; Yang, Guang 4 2022 Geometric inequalities on Riemannian and sub-Riemannian manifolds by heat semigroups techniques. Zbl 1526.58011 Baudoin, Fabrice 2 2022 Fractional Gaussian fields on the Sierpiński gasket and related fractals. Zbl 1502.60076 Baudoin, Fabrice; Lacaux, Céline 2 2022 Oscillations of BV measures on unbounded nested fractals. Zbl 1528.26019 Ruiz, Patricia Alonso; Baudoin, Fabrice 1 2022 A note on first eigenvalue estimates by coupling methods in Kähler and quaternion Kähler manifolds. Zbl 1487.53070 Baudoin, Fabrice; Cho, Gunhee; Yang, Guang 1 2022 Gamma calculus beyond Villani and explicit convergence estimates for Langevin dynamics with singular potentials. Zbl 1478.60215 Baudoin, Fabrice; Gordina, Maria; Herzog, David P. 16 2021 Besov class via heat semigroup on Dirichlet spaces. III: BV functions and sub-Gaussian heat kernel estimates. Zbl 1477.31042 Alonso-Ruiz, Patricia; Baudoin, Fabrice; Chen, Li; Rogers, Luke; Shanmugalingam, Nageswari; Teplyaev, Alexander 11 2021 Gagliardo-Nirenberg, Trudinger-Moser and Morrey inequalities on Dirichlet spaces. Zbl 1470.46054 Alonso Ruiz, Patricia; Baudoin, Fabrice 8 2021 The subelliptic heat kernel of the octonionic Hopf fibration. Zbl 1481.58012 Baudoin, Fabrice; Cho, Gunhee 3 2021 The subelliptic heat kernel of the octonionic anti-de Sitter fibration. Zbl 1464.58010 Baudoin, Fabrice; Cho, Gunhee 2 2021 Asymptotic windings of the block determinants of a unitary Brownian motion and related diffusions. Zbl 1491.60138 Baudoin, Fabrice; Wang, Jing 2 2021 Transportation inequalities for Markov kernels and their applications. Zbl 1503.39017 Baudoin, Fabrice; Eldredge, Nathaniel 1 2021 Besov class via heat semigroup on Dirichlet spaces. I: Sobolev type inequalities. Zbl 1504.47069 Ruiz, Patricia Alonso; Baudoin, Fabrice; Chen, Li; Rogers, Luke G.; Shanmugalingam, Nageswari; Teplyaev, Alexander 19 2020 Besov class via heat semigroup on Dirichlet spaces. II: BV functions and Gaussian heat kernel estimates. Zbl 1441.31007 Alonso-Ruiz, Patricia; Baudoin, Fabrice; Chen, Li; Rogers, Luke; Shanmugalingam, Nageswari; Teplyaev, Alexander 17 2020 Radial processes for sub-Riemannian Brownian motions and applications. Zbl 1451.53046 Baudoin, Fabrice; Grong, Erlend; Kuwada, Kazumasa; Neel, Robert; Thalmaier, Anton 3 2020 The horizontal heat kernel on the quaternionic anti-de Sitter spaces and related twistor spaces. Zbl 1462.53045 Baudoin, Fabrice; Demni, Nizar; Wang, Jing 2 2020 Gradient bounds for Kolmogorov type diffusions. Zbl 1454.60121 Baudoin, Fabrice; Gordina, Maria; Mariano, Phanuel 2 2020 Gundy-Varopoulos martingale transforms and their projection operators on manifolds and vector bundles. Zbl 1462.58018 Bañuelos, Rodrigo; Baudoin, Fabrice; Chen, Li 2 2020 Density of the signature process of fBm. Zbl 1469.60176 Baudoin, Fabrice; Feng, Qi; Ouyang, Cheng 2 2020 Differential one-forms on Dirichlet spaces and Bakry-Émery estimates on metric graphs. Zbl 1417.31010 Baudoin, Fabrice; Kelleher, Daniel J. 14 2019 Sub-Laplacian comparison theorems on totally geodesic Riemannian foliations. Zbl 1419.53034 Baudoin, Fabrice; Grong, Erlend; Kuwada, Kazumasa; Thalmaier, Anton 12 2019 Integration by parts and quasi-invariance for the horizontal Wiener measure on foliated compact manifolds. Zbl 1427.53028 Baudoin, Fabrice; Feng, Qi; Gordina, Maria 6 2019 On the Cheng-Yau gradient estimate for Carnot groups and sub-Riemannian manifolds. Zbl 1425.53041 Baudoin, Fabrice; Gordina, Maria; Mariano, Phanuel 3 2019 Transverse Weitzenböck formulas and de Rham cohomology of totally geodesic foliations. Zbl 1422.53020 Baudoin, Fabrice; Grong, Erlend 3 2019 Hypocoercive estimates on foliations and velocity spherical Brownian motion. Zbl 1374.60150 Baudoin, Fabrice; Tardif, Camille 6 2018 Integral representation of the sub-elliptic heat kernel on the complex anti-de Sitter fibration. Zbl 1411.35075 Baudoin, Fabrice; Demni, Nizar 3 2018 Curvature-dimension inequalities and Ricci lower bounds for sub-Riemannian manifolds with transverse symmetries. Zbl 1359.53018 Baudoin, Fabrice; Garofalo, Nicola 92 2017 Bakry-Émery meet Villani. Zbl 1373.35061 Baudoin, Fabrice 42 2017 Stochastic areas, winding numbers and Hopf fibrations. Zbl 1382.58027 Baudoin, Fabrice; Wang, Jing 10 2017 Stochastic analysis on sub-Riemannian manifolds with transverse symmetries. Zbl 1386.58019 Baudoin, Fabrice 9 2017 Sub-Laplacians and hypoelliptic operators on totally geodesic Riemannian foliations. Zbl 1379.53035 Baudoin, Fabrice 26 2016 On probability laws of solutions to differential systems driven by a fractional Brownian motion. Zbl 1352.60081 Baudoin, F.; Nualart, E.; Ouyang, C.; Tindel, S. 24 2016 Transverse Weitzenböck formulas and curvature dimension inequalities on Riemannian foliations with totally geodesic leaves. Zbl 1369.53020 Baudoin, Fabrice; Kim, Bumsik; Wang, Jing 22 2016 Reverse Poincaré inequalities, isoperimetry, and Riesz transforms in Carnot groups. Zbl 1330.35009 Baudoin, Fabrice; Bonnefont, Michel 16 2016 The Lichnerowicz-Obata theorem on sub-Riemannian manifolds with transverse symmetries. Zbl 1336.53043 Baudoin, Fabrice; Kim, Bumsik 9 2016 Smoothing effect of rough differential equations driven by fractional Brownian motions. Zbl 1335.60084 Baudoin, Fabrice; Ouyang, Cheng; Zhang, Xuejing 6 2016 Varadhan estimates for rough differential equations driven by fractional Brownian motions. Zbl 1322.60083 Baudoin, Fabrice; Ouyang, Cheng; Zhang, Xuejing 8 2015 Curvature-dimension estimates for the Laplace-Beltrami operator of a totally geodesic foliation. Zbl 1329.58017 Baudoin, Fabrice; Bonnefont, Michel 5 2015 The subelliptic heat kernel on the three-dimensional solvable Lie groups. Zbl 1330.58018 Baudoin, Fabrice; Cecil, Matthew 5 2015 On small time asymptotics for rough differential equations driven by fractional Brownian motions. Zbl 1418.91623 Baudoin, Fabrice; Ouyang, Cheng 3 2015 A sub-Riemannian curvature-dimension inequality, volume doubling property and the Poincaré inequality. Zbl 1287.53025 Baudoin, Fabrice; Bonnefont, Michel; Garofalo, Nicola 50 2014 Upper bounds for the density of solutions to stochastic differential equations driven by fractional Brownian motions. Zbl 1286.60051 Baudoin, Fabrice; Ouyang, Cheng; Tindel, Samy 21 2014 Curvature dimension inequalities and subelliptic heat kernel gradient bounds on contact manifolds. Zbl 1321.53034 Baudoin, Fabrice; Wang, Jing 19 2014 Diffusion processes and stochastic calculus. Zbl 1318.60001 Baudoin, Fabrice 17 2014 The subelliptic heat kernels of the quaternionic Hopf fibration. Zbl 1304.35234 Baudoin, Fabrice; Wang, Jing 15 2014 Volume and distance comparison theorems for sub-Riemannian manifolds. Zbl 1303.53042 Baudoin, Fabrice; Bonnefont, Michel; Garofalo, Nicola; Munive, Isidro H. 14 2014 Sobolev, Poincaré, and isoperimetric inequalities for subelliptic diffusion operators satisfying a generalized curvature dimension inequality. Zbl 1287.53026 Baudoin, Fabrice; Kim, Bumsik 11 2014 The subelliptic heat kernel on the CR sphere. Zbl 1277.32037 Baudoin, Fabrice; Wang, Jing 20 2013 Martingale transforms and their projection operators on manifolds. Zbl 1280.58022 Bañuelos, Rodrigo; Baudoin, Fabrice 19 2013 A note on the boundedness of Riesz transform for some subelliptic operators. Zbl 1316.58029 Baudoin, Fabrice; Garofalo, Nicola 19 2013 Quasi-invariance for heat kernel measures on sub-Riemannian infinite-dimensional Heisenberg groups. Zbl 1294.35182 Baudoin, Fabrice; Gordina, Maria; Melcher, Tai 14 2013 Gradient bounds for solutions of stochastic differential equations driven by fractional Brownian motions. Zbl 1281.60053 Baudoin, Fabrice; Ouyang, Cheng 4 2013 Sub-Riemannian balls in CR Sasakian manifolds. Zbl 1272.32036 Baudoin, Fabrice; Bonnefont, Michel 1 2013 Log-Sobolev inequalities for subelliptic operators satisfying a generalized curvature dimension inequality. Zbl 1254.58004 Baudoin, Fabrice; Bonnefont, Michel 29 2012 Taylor expansion for the solution of a stochastic differential equation driven by fractional Brownian motions. Zbl 1252.60052 Baudoin, Fabrice; Zhang, Xuejing 6 2012 A note on lower bounds estimates for the Neumann eigenvalues of manifolds with positive Ricci curvature. Zbl 1257.58016 Baudoin, Fabrice; Vatamanelu, Alice 4 2012 Stochastic Taylor expansions and heat kernel asymptotics. Zbl 1306.60099 Baudoin, Fabrice 3 2012 Perelman’s entropy and doubling property on Riemannian manifolds. Zbl 1238.58024 Baudoin, Fabrice; Garofalo, Nicola 21 2011 Small-time kernel expansion for solutions of stochastic differential equations driven by fractional Brownian motions. Zbl 1222.60034 Baudoin, Fabrice; Ouyang, Cheng 19 2011 Exponential functionals of Brownian motion and class-one Whittaker functions. Zbl 1269.60066 Baudoin, Fabrice; O’Connell, Neil 19 2011 The subelliptic heat kernel on \(\mathbf{SU}(2)\): representations, asymptotics and gradient bounds. Zbl 1189.58009 Baudoin, Fabrice; Bonnefont, Michel 40 2009 On gradient bounds for the heat kernel on the Heisenberg group. Zbl 1156.58009 Bakry, Dominique; Baudoin, Fabrice; Bonnefont, Michel; Chafaï, Djalil 50 2008 Subelliptic Li–Yau estimations on three dimensional model spaces. Zbl 1199.35051 Bakry, Dominique; Baudoin, Fabrice; Bonnefont, Michel; Qian, Bin 12 2008 Ornstein-Uhlenbeck processes on Lie groups. Zbl 1151.58018 Baudoin, Fabrice; Hairer, Martin; Teichmann, Josef 9 2008 Self-similarity and fractional Brownian motion on Lie groups. Zbl 1189.60083 Baudoin, Fabrice; Coutin, Laure 5 2008 Brownian Chen series and Atiyah-Singer theorem. Zbl 1147.58017 Baudoin, Fabrice 2 2008 A version of Hörmander’s theorem for the fractional Brownian motion. Zbl 1123.60038 Baudoin, Fabrice; Hairer, Martin 50 2007 Operators associated with a stochastic differential equation driven by fractional Brownian motions. Zbl 1119.60043 Baudoin, Fabrice; Coutin, Laure 36 2007 Volterra bridges and applications. Zbl 1148.60022 Baudoin, F.; Coutin, L. 4 2007 A Bismut type theorem for subelliptic heat semigroups. Zbl 1169.58004 Baudoin, Fabrice 3 2007 Notes on the two-dimensional fractional Brownian motion. Zbl 1093.60016 Baudoin, Fabrice; Nualart, David 3 2006 Equivalence of Volterra processes. Zbl 1075.60519 Baudoin, Fabrice; Nualart, David 32 2005 Hypoellipticity in infinite dimensions and an application in interest rate theory. Zbl 1081.60039 Baudoin, Fabrice; Teichmann, Josef 18 2005 SDE solutions, at small times, driven by fractional Brownian motions. (Étude en temps petit des solutions d’EDS conduites par des mouvements browniens fractionnaires.) Zbl 1073.60061 Baudoin, Fabrice; Coutin, Laure 2 2005 The tangent space to a hypoelliptic diffusion and applications. Zbl 1063.60113 Baudoin, Fabrice 1 2005 An introduction to the geometry of stochastic flows. Zbl 1085.60002 Baudoin, Fabrice 43 2004 The financial value of a weak information on a financial market. Zbl 1064.60082 Baudoin, Fabrice; Nguyen-Ngoc, Laurent 6 2004 Stochastic differential equations driven by loops in Carnot groups. (Équations différentielles stochastiques conduites par des lacets dans les groupes de Carnot.) Zbl 1044.60053 Baudoin, Fabrice 1 2004 Modeling anticipations on financial markets. Zbl 1180.91320 Baudoin, Fabrice 11 2003 Pinning class of the Wiener measure by a functional: Related martingales and invariance properties. Zbl 1027.60037 Baudoin, Fabrice; Thieullen, Michèle 1 2003 Conditioned stochastic differential equations: theory, examples and application to finance. Zbl 1058.60040 Baudoin, Fabrice 37 2002 Further exponential generalization of Pitman’s \(2M-X\) theorem. Zbl 1008.60088 Baudoin, Fabrice 6 2002 Skew-product decompositions of Brownian motions on manifolds: A probabilistic aspect of the Lichnerowicz–Szabo theorem. Zbl 1018.58027 Baudoin, Fabrice 2 2002 all cited Publications top 5 cited Publications all top 5 Cited by 707 Authors 71 Baudoin, Fabrice 19 Tindel, Samy 18 Gordina, Maria 14 Grong, Erlend 13 Bonnefont, Michel 13 Ouyang, Cheng 11 Barilari, Davide 11 Wang, Jing 10 Rizzi, Luca 9 Garofalo, Nicola 9 Hairer, Martin 9 Mazzolo, Alain 9 Monmarché, Pierre 9 Qian, Bin 9 Zegarlinski, Boguslaw 8 Bañuelos, Rodrigo 8 Chen, Li 8 Friz, Peter 8 Inahama, Yuzuru 7 Cass, Thomas Richard 7 Melcher, Tai 7 O’Connell, Neil 7 Thalmaier, Anton 7 Wang, Feng-Yu 6 Alonso-Ruiz, Patricia 6 Cho, Gunhee 6 Eldredge, Nathaniel Gilbert Bartsch 6 Teplyaev, Alexander 5 Chang, Shu-Cheng 5 Fan, Xiliang 5 Grothaus, Martin 5 Kuwada, Kazumasa 5 Lejay, Antoine 5 Li, Xiang-Dong 5 Nourdin, Ivan 5 Nualart, David 5 Rogers, Luke G. 5 Teichmann, Josef 4 Agrachev, Andreĭ Aleksandrovich 4 Demni, Nizar 4 Domelevo, Komla 4 Dong, Yuxin 4 Guillin, Arnaud 4 Habermann, Karen 4 Hinz, Michael 4 Hu, Yaozhong 4 Ivanov, Stefan P. 4 Kontis, Vasilis 4 Li, Huaiqian 4 Litterer, Christian 4 Liu, Yu 4 Mariano, Phanuel A. 4 Monthus, Cécile 4 Neuenkirch, Andreas 4 Patie, Pierre 4 Petermichl, Stefanie 4 Saussereau, Bruno 4 Shanmugalingam, Nageswari 4 Stoltz, Gabriel 4 Viitasaari, Lauri 4 Yamada, Toshihiro 4 Yang, Guang 3 Bayer, Christian 3 Besalú, Mireia 3 Casarino, Valentina 3 Corwin, Ivan Z. 3 Coutin, Laure 3 Erraoui, Mohamed 3 Fathi, Max 3 Gao, Li 3 Geng, Xi 3 Godoy Molina, Mauricio 3 Han, Yingbo 3 Hillairet, Caroline 3 Inglis, James D. 3 Jiang, Renjin 3 Juillet, Nicolas 3 Katori, Makoto 3 Kleptsyna, Marina L. 3 Lee, Paul W. Y. 3 Li, Hongquan 3 Lin, Chien 3 Markina, Irina 3 Martini, Alessio 3 Munive, Isidro Humberto 3 Ngai, Sze-Man 3 Osękowski, Adam 3 Ouknine, Youssef 3 Pigato, Paolo 3 Riedel, Sebastian 3 Schauer, Moritz 3 Sottinen, Tommi 3 Stefani, Giorgio 3 Thangavelu, Sundaram 3 Unterberger, Jérémie M. 3 van der Meulen, Frank Henri 3 Vas’kovskiĭ, Maksim Mikhaĭlovich 3 Vassilev, Dimiter N. 3 Vega-Molino, Sylvie 3 Zygouras, Nikolaos ...and 607 more Authors all top 5 Cited in 188 Serials 35 Stochastic Processes and their Applications 34 Journal of Functional Analysis 31 Potential Analysis 20 The Annals of Probability 19 The Journal of Geometric Analysis 16 Probability Theory and Related Fields 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Statistics & Probability Letters 13 Journal of Theoretical Probability 12 Annales de l’Institut Henri Poincaré. 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Serie Quarta 2 Archiv der Mathematik 2 Duke Mathematical Journal 2 Illinois Journal of Mathematics 2 Journal of Applied Probability 2 Journal of the Mathematical Society of Japan 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Mathematische Nachrichten 2 Memoirs of the American Mathematical Society 2 Monatshefte für Mathematik 2 SIAM Journal on Control and Optimization 2 SIAM Journal on Numerical Analysis 2 Insurance Mathematics & Economics 2 Chinese Annals of Mathematics. Series B 2 Geometric and Functional Analysis. GAFA 2 Fractals 2 Random Operators and Stochastic Equations 2 The Journal of Fourier Analysis and Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Fractional Calculus & Applied Analysis 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Philosophical Transactions of the Royal Society of London. Series A. 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B 1 Physica A 1 Reports on Mathematical Physics ...and 88 more Serials all top 5 Cited in 51 Fields 349 Probability theory and stochastic processes (60-XX) 139 Partial differential equations (35-XX) 129 Global analysis, analysis on manifolds (58-XX) 128 Differential geometry (53-XX) 51 Operator theory (47-XX) 49 Statistical mechanics, structure of matter (82-XX) 40 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 36 Measure and integration (28-XX) 35 Functional analysis (46-XX) 32 Topological groups, Lie groups (22-XX) 31 Dynamical systems and ergodic theory (37-XX) 30 Numerical analysis (65-XX) 27 Real functions (26-XX) 26 Abstract harmonic analysis (43-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 21 Potential theory (31-XX) 21 Ordinary differential equations (34-XX) 20 Several complex variables and analytic spaces (32-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 14 Statistics (62-XX) 14 Systems theory; control (93-XX) 12 Functions of a complex variable (30-XX) 11 Special functions (33-XX) 10 Quantum theory (81-XX) 9 Combinatorics (05-XX) 7 Difference and functional equations (39-XX) 7 Approximations and expansions (41-XX) 5 Manifolds and cell complexes (57-XX) 5 Biology and other natural sciences (92-XX) 4 Mechanics of particles and systems (70-XX) 4 Information and communication theory, circuits (94-XX) 3 Geometry (51-XX) 3 Fluid mechanics (76-XX) 3 Operations research, mathematical programming (90-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Integral transforms, operational calculus (44-XX) 2 General topology (54-XX) 2 Algebraic topology (55-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year