Edit Profile (opens in new tab) Baudoin, Fabrice Compute Distance To: Compute 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 Documents Indexed: 92 Publications since 2002, including 2 Books 1 Contribution as Editor Reviewing Activity: 1 Review Biographic References: 1 Publication Co-Authors: 54 Co-Authors with 77 Joint Publications 1,177 Co-Co-Authors all top 5 Co-Authors 16 single-authored 9 Bonnefont, Michel 9 Ouyang, Cheng 9 Wang, Jing 7 Chen, Li 5 Garofalo, Nicola 5 Gordina, Maria 5 Grong, Erlend 4 Alonso-Ruiz, Patricia 4 Coutin, Laure 3 Bañuelos, Rodrigo 3 Cho, Gunhee 3 Demni, Nizar 3 Kim, Bumsik 3 Mariano, Phanuel A. 3 Rogers, Luke G. 3 Shanmugalingam, Nageswari 3 Teplyaev, Alexander 3 Tindel, Samy 3 Zhang, Xuejing 2 Bakry, Dominique 2 Feng, Qi 2 Hairer, Martin 2 Kuwada, Kazumasa 2 Nualart, David 2 Teichmann, Josef 2 Thalmaier, Anton 2 Vega-Molino, Gianmarco 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 Herzog, David P. 1 Kelleher, Daniel J. 1 Lacaux, Céline 1 Melcher, Tai 1 Munive, Isidro Humberto 1 Munteanu, Ovidiu 1 Neel, Robert Weston 1 Nguyen-Ngoc, Laurent 1 Nualart, Eulalia 1 O’Connell, Neil 1 Peterson, Jonathon 1 Qian, Bin 1 Rizzi, Luca 1 Sire, Yannick 1 Tardif, Camille 1 Thieullen, Michèle 1 Vatamanelu, Alice 1 Wishart, Mary all top 5 Serials 10 Journal of Functional Analysis 6 Potential Analysis 5 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 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 IMRN. International Mathematics Research Notices 2 Electronic Communications in Probability 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 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 Kinetic and Related Models 1 Involve 1 EMS Textbooks in Mathematics 1 Annales Fennici Mathematici all top 5 Fields 48 Probability theory and stochastic processes (60-XX) 33 Global analysis, analysis on manifolds (58-XX) 31 Differential geometry (53-XX) 24 Partial differential equations (35-XX) 5 Functional analysis (46-XX) 5 Operator theory (47-XX) 4 Topological groups, Lie groups (22-XX) 4 Measure and integration (28-XX) 4 Potential theory (31-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Real functions (26-XX) 3 Abstract harmonic analysis (43-XX) 2 Functions of a complex variable (30-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 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 80 Publications have been cited 931 times in 493 Documents Cited by ▼ Year ▼ Curvature-dimension inequalities and Ricci lower bounds for sub-Riemannian manifolds with transverse symmetries. Zbl 1359.53018Baudoin, Fabrice; Garofalo, Nicola 78 2017 A sub-Riemannian curvature-dimension inequality, volume doubling property and the Poincaré inequality. Zbl 1287.53025Baudoin, Fabrice; Bonnefont, Michel; Garofalo, Nicola 48 2014 A version of Hörmander’s theorem for the fractional Brownian motion. Zbl 1123.60038Baudoin, Fabrice; Hairer, Martin 47 2007 On gradient bounds for the heat kernel on the Heisenberg group. Zbl 1156.58009Bakry, Dominique; Baudoin, Fabrice; Bonnefont, Michel; Chafaï, Djalil 45 2008 The subelliptic heat kernel on \(\mathbf{SU}(2)\): representations, asymptotics and gradient bounds. Zbl 1189.58009Baudoin, Fabrice; Bonnefont, Michel 36 2009 An introduction to the geometry of stochastic flows. Zbl 1085.60002Baudoin, Fabrice 35 2004 Operators associated with a stochastic differential equation driven by fractional Brownian motions. Zbl 1119.60043Baudoin, Fabrice; Coutin, Laure 33 2007 Bakry-Émery meet Villani. Zbl 1373.35061Baudoin, Fabrice 31 2017 Equivalence of Volterra processes. Zbl 1075.60519Baudoin, Fabrice; Nualart, David 29 2005 Log-Sobolev inequalities for subelliptic operators satisfying a generalized curvature dimension inequality. Zbl 1254.58004Baudoin, Fabrice; Bonnefont, Michel 27 2012 Conditioned stochastic differential equations: theory, examples and application to finance. Zbl 1058.60040Baudoin, Fabrice 27 2002 Sub-Laplacians and hypoelliptic operators on totally geodesic Riemannian foliations. Zbl 1379.53035Baudoin, Fabrice 22 2016 Small-time kernel expansion for solutions of stochastic differential equations driven by fractional Brownian motions. Zbl 1222.60034Baudoin, Fabrice; Ouyang, Cheng 19 2011 The subelliptic heat kernel on the CR sphere. Zbl 1277.32037Baudoin, Fabrice; Wang, Jing 19 2013 Upper bounds for the density of solutions to stochastic differential equations driven by fractional Brownian motions. Zbl 1286.60051Baudoin, Fabrice; Ouyang, Cheng; Tindel, Samy 19 2014 Martingale transforms and their projection operators on manifolds. Zbl 1280.58022Bañuelos, Rodrigo; Baudoin, Fabrice 18 2013 A note on the boundedness of Riesz transform for some subelliptic operators. Zbl 1316.58029Baudoin, Fabrice; Garofalo, Nicola 18 2013 Curvature dimension inequalities and subelliptic heat kernel gradient bounds on contact manifolds. Zbl 1321.53034Baudoin, Fabrice; Wang, Jing 18 2014 Perelman’s entropy and doubling property on Riemannian manifolds. Zbl 1238.58024Baudoin, Fabrice; Garofalo, Nicola 17 2011 Exponential functionals of Brownian motion and class-one Whittaker functions. Zbl 1269.60066Baudoin, Fabrice; O’Connell, Neil 16 2011 Hypoellipticity in infinite dimensions and an application in interest rate theory. Zbl 1081.60039Baudoin, Fabrice; Teichmann, Josef 16 2005 The subelliptic heat kernels of the quaternionic Hopf fibration. Zbl 1304.35234Baudoin, Fabrice; Wang, Jing 15 2014 Diffusion processes and stochastic calculus. Zbl 1318.60001Baudoin, Fabrice 15 2014 Transverse Weitzenböck formulas and curvature dimension inequalities on Riemannian foliations with totally geodesic leaves. Zbl 1369.53020Baudoin, Fabrice; Kim, Bumsik; Wang, Jing 14 2016 On probability laws of solutions to differential systems driven by a fractional Brownian motion. Zbl 1352.60081Baudoin, F.; Nualart, E.; Ouyang, C.; Tindel, S. 14 2016 Quasi-invariance for heat kernel measures on sub-Riemannian infinite-dimensional Heisenberg groups. Zbl 1294.35182Baudoin, Fabrice; Gordina, Maria; Melcher, Tai 13 2013 Volume and distance comparison theorems for sub-Riemannian manifolds. Zbl 1303.53042Baudoin, Fabrice; Bonnefont, Michel; Garofalo, Nicola; Munive, Isidro H. 13 2014 Differential one-forms on Dirichlet spaces and Bakry-Émery estimates on metric graphs. Zbl 1417.31010Baudoin, Fabrice; Kelleher, Daniel J. 12 2019 Reverse Poincaré inequalities, isoperimetry, and Riesz transforms in Carnot groups. Zbl 1330.35009Baudoin, Fabrice; Bonnefont, Michel 12 2016 Besov class via heat semigroup on Dirichlet spaces. I: Sobolev type inequalities. Zbl 1504.47069Ruiz, Patricia Alonso; Baudoin, Fabrice; Chen, Li; Rogers, Luke G.; Shanmugalingam, Nageswari; Teplyaev, Alexander 10 2020 Modeling anticipations on financial markets. Zbl 1180.91320Baudoin, Fabrice 10 2003 Stochastic analysis on sub-Riemannian manifolds with transverse symmetries. Zbl 1386.58019Baudoin, Fabrice 9 2017 Ornstein-Uhlenbeck processes on Lie groups. Zbl 1151.58018Baudoin, Fabrice; Hairer, Martin; Teichmann, Josef 9 2008 Besov class via heat semigroup on Dirichlet spaces. II: BV functions and Gaussian heat kernel estimates. Zbl 1441.31007Alonso-Ruiz, Patricia; Baudoin, Fabrice; Chen, Li; Rogers, Luke; Shanmugalingam, Nageswari; Teplyaev, Alexander 9 2020 Subelliptic Li–Yau estimations on three dimensional model spaces. Zbl 1199.35051Bakry, Dominique; Baudoin, Fabrice; Bonnefont, Michel; Qian, Bin 8 2008 Sobolev, Poincaré, and isoperimetric inequalities for subelliptic diffusion operators satisfying a generalized curvature dimension inequality. Zbl 1287.53026Baudoin, Fabrice; Kim, Bumsik 8 2014 Sub-Laplacian comparison theorems on totally geodesic Riemannian foliations. Zbl 1419.53034Baudoin, Fabrice; Grong, Erlend; Kuwada, Kazumasa; Thalmaier, Anton 8 2019 Stochastic areas, winding numbers and Hopf fibrations. Zbl 1382.58027Baudoin, Fabrice; Wang, Jing 8 2017 The Lichnerowicz-Obata theorem on sub-Riemannian manifolds with transverse symmetries. Zbl 1336.53043Baudoin, Fabrice; Kim, Bumsik 7 2016 Varadhan estimates for rough differential equations driven by fractional Brownian motions. Zbl 1322.60083Baudoin, Fabrice; Ouyang, Cheng; Zhang, Xuejing 7 2015 Hypocoercive estimates on foliations and velocity spherical Brownian motion. Zbl 1374.60150Baudoin, Fabrice; Tardif, Camille 6 2018 The financial value of a weak information on a financial market. Zbl 1064.60082Baudoin, Fabrice; Nguyen-Ngoc, Laurent 6 2004 Further exponential generalization of Pitman’s \(2M-X\) theorem. Zbl 1008.60088Baudoin, Fabrice 6 2002 Smoothing effect of rough differential equations driven by fractional Brownian motions. Zbl 1335.60084Baudoin, Fabrice; Ouyang, Cheng; Zhang, Xuejing 6 2016 Self-similarity and fractional Brownian motion on Lie groups. Zbl 1189.60083Baudoin, Fabrice; Coutin, Laure 5 2008 Taylor expansion for the solution of a stochastic differential equation driven by fractional Brownian motions. Zbl 1252.60052Baudoin, Fabrice; Zhang, Xuejing 5 2012 Gamma calculus beyond Villani and explicit convergence estimates for Langevin dynamics with singular potentials. Zbl 1478.60215Baudoin, Fabrice; Gordina, Maria; Herzog, David P. 5 2021 Integration by parts and quasi-invariance for the horizontal Wiener measure on foliated compact manifolds. Zbl 1427.53028Baudoin, Fabrice; Feng, Qi; Gordina, Maria 5 2019 Curvature-dimension estimates for the Laplace-Beltrami operator of a totally geodesic foliation. Zbl 1329.58017Baudoin, Fabrice; Bonnefont, Michel 5 2015 Gradient bounds for solutions of stochastic differential equations driven by fractional Brownian motions. Zbl 1281.60053Baudoin, Fabrice; Ouyang, Cheng 4 2013 The subelliptic heat kernel on the three-dimensional solvable Lie groups. Zbl 1330.58018Baudoin, Fabrice; Cecil, Matthew 4 2015 Besov class via heat semigroup on Dirichlet spaces. III: BV functions and sub-Gaussian heat kernel estimates. Zbl 1477.31042Alonso-Ruiz, Patricia; Baudoin, Fabrice; Chen, Li; Rogers, Luke; Shanmugalingam, Nageswari; Teplyaev, Alexander 4 2021 Volterra bridges and applications. Zbl 1148.60022Baudoin, F.; Coutin, L. 3 2007 A Bismut type theorem for subelliptic heat semigroups. Zbl 1169.58004Baudoin, Fabrice 3 2007 Stochastic Taylor expansions and heat kernel asymptotics. Zbl 1306.60099Baudoin, Fabrice 3 2012 On small time asymptotics for rough differential equations driven by fractional Brownian motions. Zbl 1418.91623Baudoin, Fabrice; Ouyang, Cheng 3 2015 Integral representation of the sub-elliptic heat kernel on the complex anti-de Sitter fibration. Zbl 1411.35075Baudoin, Fabrice; Demni, Nizar 3 2018 On the Cheng-Yau gradient estimate for Carnot groups and sub-Riemannian manifolds. Zbl 1425.53041Baudoin, Fabrice; Gordina, Maria; Mariano, Phanuel 3 2019 Transverse Weitzenböck formulas and de Rham cohomology of totally geodesic foliations. Zbl 1422.53020Baudoin, Fabrice; Grong, Erlend 3 2019 Brownian Chen series and Atiyah-Singer theorem. Zbl 1147.58017Baudoin, Fabrice 2 2008 A note on lower bounds estimates for the Neumann eigenvalues of manifolds with positive Ricci curvature. Zbl 1257.58016Baudoin, Fabrice; Vatamanelu, Alice 2 2012 Notes on the two-dimensional fractional Brownian motion. Zbl 1093.60016Baudoin, Fabrice; Nualart, David 2 2006 Gagliardo-Nirenberg, Trudinger-Moser and Morrey inequalities on Dirichlet spaces. Zbl 1470.46054Alonso Ruiz, Patricia; Baudoin, Fabrice 2 2021 The horizontal heat kernel on the quaternionic anti-de Sitter spaces and related twistor spaces. Zbl 1462.53045Baudoin, Fabrice; Demni, Nizar; Wang, Jing 2 2020 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 1073.60061Baudoin, Fabrice; Coutin, Laure 2 2005 Skew-product decompositions of Brownian motions on manifolds: A probabilistic aspect of the Lichnerowicz–Szabo theorem. Zbl 1018.58027Baudoin, Fabrice 2 2002 Gundy-Varopoulos martingale transforms and their projection operators on manifolds and vector bundles. Zbl 1462.58018Bañuelos, Rodrigo; Baudoin, Fabrice; Chen, Li 2 2020 The subelliptic heat kernel of the octonionic Hopf fibration. Zbl 1481.58012Baudoin, Fabrice; Cho, Gunhee 2 2021 Sub-Riemannian balls in CR Sasakian manifolds. Zbl 1272.32036Baudoin, Fabrice; Bonnefont, Michel 1 2013 Gradient bounds for Kolmogorov type diffusions. Zbl 1454.60121Baudoin, Fabrice; Gordina, Maria; Mariano, Phanuel 1 2020 Fractional Gaussian fields on the Sierpiński gasket and related fractals. Zbl 1502.60076Baudoin, Fabrice; Lacaux, Céline 1 2022 Density of the signature process of fBm. Zbl 1469.60176Baudoin, Fabrice; Feng, Qi; Ouyang, Cheng 1 2020 The tangent space to a hypoelliptic diffusion and applications. Zbl 1063.60113Baudoin, Fabrice 1 2005 Pinning class of the Wiener measure by a functional: Related martingales and invariance properties. Zbl 1027.60037Baudoin, Fabrice; Thieullen, Michèle 1 2003 Stochastic differential equations driven by loops in Carnot groups. (Équations différentielles stochastiques conduites par des lacets dans les groupes de Carnot.) Zbl 1044.60053Baudoin, Fabrice 1 2004 Radial processes for sub-Riemannian Brownian motions and applications. Zbl 1451.53046Baudoin, Fabrice; Grong, Erlend; Kuwada, Kazumasa; Neel, Robert; Thalmaier, Anton 1 2020 Stochastic analysis and related topics. A festschrift in honor of Rodrigo Bañuelos, Purdue University, West Lafayette, IN, USA, May 20–22, 2015. Zbl 1393.60005 1 2017 Asymptotic windings of the block determinants of a unitary Brownian motion and related diffusions. Zbl 1491.60138Baudoin, Fabrice; Wang, Jing 1 2021 The subelliptic heat kernel of the octonionic anti-de Sitter fibration. Zbl 1464.58010Baudoin, Fabrice; Cho, Gunhee 1 2021 H-type foliations. Zbl 1503.53059Baudoin, Fabrice; Grong, Erlend; Rizzi, Luca; Vega-Molino, Gianmarco 1 2022 Fractional Gaussian fields on the Sierpiński gasket and related fractals. Zbl 1502.60076Baudoin, Fabrice; Lacaux, Céline 1 2022 H-type foliations. Zbl 1503.53059Baudoin, Fabrice; Grong, Erlend; Rizzi, Luca; Vega-Molino, Gianmarco 1 2022 Gamma calculus beyond Villani and explicit convergence estimates for Langevin dynamics with singular potentials. Zbl 1478.60215Baudoin, Fabrice; Gordina, Maria; Herzog, David P. 5 2021 Besov class via heat semigroup on Dirichlet spaces. III: BV functions and sub-Gaussian heat kernel estimates. Zbl 1477.31042Alonso-Ruiz, Patricia; Baudoin, Fabrice; Chen, Li; Rogers, Luke; Shanmugalingam, Nageswari; Teplyaev, Alexander 4 2021 Gagliardo-Nirenberg, Trudinger-Moser and Morrey inequalities on Dirichlet spaces. Zbl 1470.46054Alonso Ruiz, Patricia; Baudoin, Fabrice 2 2021 The subelliptic heat kernel of the octonionic Hopf fibration. Zbl 1481.58012Baudoin, Fabrice; Cho, Gunhee 2 2021 Asymptotic windings of the block determinants of a unitary Brownian motion and related diffusions. Zbl 1491.60138Baudoin, Fabrice; Wang, Jing 1 2021 The subelliptic heat kernel of the octonionic anti-de Sitter fibration. Zbl 1464.58010Baudoin, Fabrice; Cho, Gunhee 1 2021 Besov class via heat semigroup on Dirichlet spaces. I: Sobolev type inequalities. Zbl 1504.47069Ruiz, Patricia Alonso; Baudoin, Fabrice; Chen, Li; Rogers, Luke G.; Shanmugalingam, Nageswari; Teplyaev, Alexander 10 2020 Besov class via heat semigroup on Dirichlet spaces. II: BV functions and Gaussian heat kernel estimates. Zbl 1441.31007Alonso-Ruiz, Patricia; Baudoin, Fabrice; Chen, Li; Rogers, Luke; Shanmugalingam, Nageswari; Teplyaev, Alexander 9 2020 The horizontal heat kernel on the quaternionic anti-de Sitter spaces and related twistor spaces. Zbl 1462.53045Baudoin, Fabrice; Demni, Nizar; Wang, Jing 2 2020 Gundy-Varopoulos martingale transforms and their projection operators on manifolds and vector bundles. Zbl 1462.58018Bañuelos, Rodrigo; Baudoin, Fabrice; Chen, Li 2 2020 Gradient bounds for Kolmogorov type diffusions. Zbl 1454.60121Baudoin, Fabrice; Gordina, Maria; Mariano, Phanuel 1 2020 Density of the signature process of fBm. Zbl 1469.60176Baudoin, Fabrice; Feng, Qi; Ouyang, Cheng 1 2020 Radial processes for sub-Riemannian Brownian motions and applications. Zbl 1451.53046Baudoin, Fabrice; Grong, Erlend; Kuwada, Kazumasa; Neel, Robert; Thalmaier, Anton 1 2020 Differential one-forms on Dirichlet spaces and Bakry-Émery estimates on metric graphs. Zbl 1417.31010Baudoin, Fabrice; Kelleher, Daniel J. 12 2019 Sub-Laplacian comparison theorems on totally geodesic Riemannian foliations. Zbl 1419.53034Baudoin, Fabrice; Grong, Erlend; Kuwada, Kazumasa; Thalmaier, Anton 8 2019 Integration by parts and quasi-invariance for the horizontal Wiener measure on foliated compact manifolds. Zbl 1427.53028Baudoin, Fabrice; Feng, Qi; Gordina, Maria 5 2019 On the Cheng-Yau gradient estimate for Carnot groups and sub-Riemannian manifolds. Zbl 1425.53041Baudoin, Fabrice; Gordina, Maria; Mariano, Phanuel 3 2019 Transverse Weitzenböck formulas and de Rham cohomology of totally geodesic foliations. Zbl 1422.53020Baudoin, Fabrice; Grong, Erlend 3 2019 Hypocoercive estimates on foliations and velocity spherical Brownian motion. Zbl 1374.60150Baudoin, Fabrice; Tardif, Camille 6 2018 Integral representation of the sub-elliptic heat kernel on the complex anti-de Sitter fibration. Zbl 1411.35075Baudoin, Fabrice; Demni, Nizar 3 2018 Curvature-dimension inequalities and Ricci lower bounds for sub-Riemannian manifolds with transverse symmetries. Zbl 1359.53018Baudoin, Fabrice; Garofalo, Nicola 78 2017 Bakry-Émery meet Villani. Zbl 1373.35061Baudoin, Fabrice 31 2017 Stochastic analysis on sub-Riemannian manifolds with transverse symmetries. Zbl 1386.58019Baudoin, Fabrice 9 2017 Stochastic areas, winding numbers and Hopf fibrations. Zbl 1382.58027Baudoin, Fabrice; Wang, Jing 8 2017 Stochastic analysis and related topics. A festschrift in honor of Rodrigo Bañuelos, Purdue University, West Lafayette, IN, USA, May 20–22, 2015. Zbl 1393.60005 1 2017 Sub-Laplacians and hypoelliptic operators on totally geodesic Riemannian foliations. Zbl 1379.53035Baudoin, Fabrice 22 2016 Transverse Weitzenböck formulas and curvature dimension inequalities on Riemannian foliations with totally geodesic leaves. Zbl 1369.53020Baudoin, Fabrice; Kim, Bumsik; Wang, Jing 14 2016 On probability laws of solutions to differential systems driven by a fractional Brownian motion. Zbl 1352.60081Baudoin, F.; Nualart, E.; Ouyang, C.; Tindel, S. 14 2016 Reverse Poincaré inequalities, isoperimetry, and Riesz transforms in Carnot groups. Zbl 1330.35009Baudoin, Fabrice; Bonnefont, Michel 12 2016 The Lichnerowicz-Obata theorem on sub-Riemannian manifolds with transverse symmetries. Zbl 1336.53043Baudoin, Fabrice; Kim, Bumsik 7 2016 Smoothing effect of rough differential equations driven by fractional Brownian motions. Zbl 1335.60084Baudoin, Fabrice; Ouyang, Cheng; Zhang, Xuejing 6 2016 Varadhan estimates for rough differential equations driven by fractional Brownian motions. Zbl 1322.60083Baudoin, Fabrice; Ouyang, Cheng; Zhang, Xuejing 7 2015 Curvature-dimension estimates for the Laplace-Beltrami operator of a totally geodesic foliation. Zbl 1329.58017Baudoin, Fabrice; Bonnefont, Michel 5 2015 The subelliptic heat kernel on the three-dimensional solvable Lie groups. Zbl 1330.58018Baudoin, Fabrice; Cecil, Matthew 4 2015 On small time asymptotics for rough differential equations driven by fractional Brownian motions. Zbl 1418.91623Baudoin, Fabrice; Ouyang, Cheng 3 2015 A sub-Riemannian curvature-dimension inequality, volume doubling property and the Poincaré inequality. Zbl 1287.53025Baudoin, Fabrice; Bonnefont, Michel; Garofalo, Nicola 48 2014 Upper bounds for the density of solutions to stochastic differential equations driven by fractional Brownian motions. Zbl 1286.60051Baudoin, Fabrice; Ouyang, Cheng; Tindel, Samy 19 2014 Curvature dimension inequalities and subelliptic heat kernel gradient bounds on contact manifolds. Zbl 1321.53034Baudoin, Fabrice; Wang, Jing 18 2014 The subelliptic heat kernels of the quaternionic Hopf fibration. Zbl 1304.35234Baudoin, Fabrice; Wang, Jing 15 2014 Diffusion processes and stochastic calculus. Zbl 1318.60001Baudoin, Fabrice 15 2014 Volume and distance comparison theorems for sub-Riemannian manifolds. Zbl 1303.53042Baudoin, Fabrice; Bonnefont, Michel; Garofalo, Nicola; Munive, Isidro H. 13 2014 Sobolev, Poincaré, and isoperimetric inequalities for subelliptic diffusion operators satisfying a generalized curvature dimension inequality. Zbl 1287.53026Baudoin, Fabrice; Kim, Bumsik 8 2014 The subelliptic heat kernel on the CR sphere. Zbl 1277.32037Baudoin, Fabrice; Wang, Jing 19 2013 Martingale transforms and their projection operators on manifolds. Zbl 1280.58022Bañuelos, Rodrigo; Baudoin, Fabrice 18 2013 A note on the boundedness of Riesz transform for some subelliptic operators. Zbl 1316.58029Baudoin, Fabrice; Garofalo, Nicola 18 2013 Quasi-invariance for heat kernel measures on sub-Riemannian infinite-dimensional Heisenberg groups. Zbl 1294.35182Baudoin, Fabrice; Gordina, Maria; Melcher, Tai 13 2013 Gradient bounds for solutions of stochastic differential equations driven by fractional Brownian motions. Zbl 1281.60053Baudoin, Fabrice; Ouyang, Cheng 4 2013 Sub-Riemannian balls in CR Sasakian manifolds. Zbl 1272.32036Baudoin, Fabrice; Bonnefont, Michel 1 2013 Log-Sobolev inequalities for subelliptic operators satisfying a generalized curvature dimension inequality. Zbl 1254.58004Baudoin, Fabrice; Bonnefont, Michel 27 2012 Taylor expansion for the solution of a stochastic differential equation driven by fractional Brownian motions. Zbl 1252.60052Baudoin, Fabrice; Zhang, Xuejing 5 2012 Stochastic Taylor expansions and heat kernel asymptotics. Zbl 1306.60099Baudoin, Fabrice 3 2012 A note on lower bounds estimates for the Neumann eigenvalues of manifolds with positive Ricci curvature. Zbl 1257.58016Baudoin, Fabrice; Vatamanelu, Alice 2 2012 Small-time kernel expansion for solutions of stochastic differential equations driven by fractional Brownian motions. Zbl 1222.60034Baudoin, Fabrice; Ouyang, Cheng 19 2011 Perelman’s entropy and doubling property on Riemannian manifolds. Zbl 1238.58024Baudoin, Fabrice; Garofalo, Nicola 17 2011 Exponential functionals of Brownian motion and class-one Whittaker functions. Zbl 1269.60066Baudoin, Fabrice; O’Connell, Neil 16 2011 The subelliptic heat kernel on \(\mathbf{SU}(2)\): representations, asymptotics and gradient bounds. Zbl 1189.58009Baudoin, Fabrice; Bonnefont, Michel 36 2009 On gradient bounds for the heat kernel on the Heisenberg group. Zbl 1156.58009Bakry, Dominique; Baudoin, Fabrice; Bonnefont, Michel; Chafaï, Djalil 45 2008 Ornstein-Uhlenbeck processes on Lie groups. Zbl 1151.58018Baudoin, Fabrice; Hairer, Martin; Teichmann, Josef 9 2008 Subelliptic Li–Yau estimations on three dimensional model spaces. Zbl 1199.35051Bakry, Dominique; Baudoin, Fabrice; Bonnefont, Michel; Qian, Bin 8 2008 Self-similarity and fractional Brownian motion on Lie groups. Zbl 1189.60083Baudoin, Fabrice; Coutin, Laure 5 2008 Brownian Chen series and Atiyah-Singer theorem. Zbl 1147.58017Baudoin, Fabrice 2 2008 A version of Hörmander’s theorem for the fractional Brownian motion. Zbl 1123.60038Baudoin, Fabrice; Hairer, Martin 47 2007 Operators associated with a stochastic differential equation driven by fractional Brownian motions. Zbl 1119.60043Baudoin, Fabrice; Coutin, Laure 33 2007 Volterra bridges and applications. Zbl 1148.60022Baudoin, F.; Coutin, L. 3 2007 A Bismut type theorem for subelliptic heat semigroups. Zbl 1169.58004Baudoin, Fabrice 3 2007 Notes on the two-dimensional fractional Brownian motion. Zbl 1093.60016Baudoin, Fabrice; Nualart, David 2 2006 Equivalence of Volterra processes. Zbl 1075.60519Baudoin, Fabrice; Nualart, David 29 2005 Hypoellipticity in infinite dimensions and an application in interest rate theory. Zbl 1081.60039Baudoin, Fabrice; Teichmann, Josef 16 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 1073.60061Baudoin, Fabrice; Coutin, Laure 2 2005 The tangent space to a hypoelliptic diffusion and applications. Zbl 1063.60113Baudoin, Fabrice 1 2005 An introduction to the geometry of stochastic flows. Zbl 1085.60002Baudoin, Fabrice 35 2004 The financial value of a weak information on a financial market. Zbl 1064.60082Baudoin, 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 1044.60053Baudoin, Fabrice 1 2004 Modeling anticipations on financial markets. Zbl 1180.91320Baudoin, Fabrice 10 2003 Pinning class of the Wiener measure by a functional: Related martingales and invariance properties. Zbl 1027.60037Baudoin, Fabrice; Thieullen, Michèle 1 2003 Conditioned stochastic differential equations: theory, examples and application to finance. Zbl 1058.60040Baudoin, Fabrice 27 2002 Further exponential generalization of Pitman’s \(2M-X\) theorem. Zbl 1008.60088Baudoin, Fabrice 6 2002 Skew-product decompositions of Brownian motions on manifolds: A probabilistic aspect of the Lichnerowicz–Szabo theorem. Zbl 1018.58027Baudoin, Fabrice 2 2002 all cited Publications top 5 cited Publications all top 5 Cited by 561 Authors 64 Baudoin, Fabrice 16 Tindel, Samy 15 Gordina, Maria 13 Grong, Erlend 12 Bonnefont, Michel 12 Ouyang, Cheng 10 Wang, Jing 9 Barilari, Davide 9 Garofalo, Nicola 9 Rizzi, Luca 8 Bañuelos, Rodrigo 8 Friz, Peter Karl 8 Hairer, Martin 8 Inahama, Yuzuru 8 Qian, Bin 7 Chen, Li 7 Thalmaier, Anton 7 Zegarlinski, Boguslaw 6 Eldredge, Nathaniel Gilbert Bartsch 6 Melcher, Tai 6 O’Connell, Neil 6 Teplyaev, Alexander 5 Cass, Thomas Richard 5 Chang, Shu-Cheng 5 Fan, Xiliang 5 Kuwada, Kazumasa 5 Lee, Paul W. Y. 5 Li, Xiang-Dong 5 Nourdin, Ivan 5 Nualart, David 5 Rogers, Luke G. 5 Wang, Feng-Yu 4 Agrachev, Andreĭ Aleksandrovich 4 Alonso-Ruiz, Patricia 4 Demni, Nizar 4 Domelevo, Komla 4 Kontis, Vasilis 4 Lejay, Antoine 4 Li, Huaiqian 4 Mariano, Phanuel A. 4 Monmarché, Pierre 4 Neuenkirch, Andreas 4 Patie, Pierre 4 Petermichl, Stefanie 4 Saussereau, Bruno 4 Stoltz, Gabriel 4 Yamada, Toshihiro 3 Bayer, Christian 3 Besalú, Mireia 3 Casarino, Valentina 3 Cho, Gunhee 3 Corwin, Ivan Z. 3 Coutin, Laure 3 Dong, Yuxin 3 Grothaus, Martin 3 Guillin, Arnaud 3 Han, Yingbo 3 Hillairet, Caroline 3 Hinz, Michael 3 Hu, Yaozhong 3 Inglis, James D. 3 Ivanov, Stefan P. 3 Jiang, Renjin 3 Juillet, Nicolas 3 Katori, Makoto 3 Kleptsyna, Marina L. 3 Li, Hongquan 3 Lin, Chien 3 Litterer, Christian 3 Martini, Alessio 3 Mazzolo, Alain 3 Munive, Isidro Humberto 3 Osękowski, Adam 3 Ouknine, Youssef 3 Pigato, Paolo 3 Riedel, Sebastian 3 Shanmugalingam, Nageswari 3 Sottinen, Tommi 3 Teichmann, Josef 3 Thangavelu, Sundaram 3 Unterberger, Jérémie M. 3 Vas’kovskiĭ, Maksim Mikhaĭlovich 3 Viitasaari, Lauri 3 Zygouras, Nikolaos 2 Alamo, A. 2 Arcozzi, Nicola 2 Bailleul, Ismaël F. 2 Bakry, Dominique 2 Banerjee, Sayan 2 Bruno, Tommaso 2 Chafaï, Djalil 2 Chang, Der-Chen E. 2 Cheng, Lijuan 2 Chevyrev, Ilya 2 Cowling, Michael G. 2 Danilova, Albina 2 Darses, Sébastien 2 Dolbeault, Jean 2 Dragoni, Federica 2 Emsiz, Erdal ...and 461 more Authors all top 5 Cited in 160 Serials 31 Stochastic Processes and their Applications 30 Journal of Functional Analysis 24 Potential Analysis 19 The Annals of Probability 14 The Journal of Geometric Analysis 12 Statistics & Probability Letters 12 Probability Theory and Related Fields 12 Journal of Theoretical Probability 12 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Stochastics 9 Transactions of the American Mathematical Society 9 Electronic Journal of Probability 8 Journal of Mathematical Analysis and Applications 8 Stochastic Analysis and Applications 7 Mathematische Annalen 7 Proceedings of the American Mathematical Society 6 Journal of Statistical Physics 6 Calculus of Variations and Partial Differential Equations 6 Finance and Stochastics 5 Journal of Differential Equations 5 Mathematische Zeitschrift 5 Revista Matemática Iberoamericana 4 Journal of Mathematical Physics 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Stochastics and Dynamics 3 Journal d’Analyse Mathématique 3 Advances in Mathematics 3 Annals of Global Analysis and Geometry 3 Communications in Partial Differential Equations 3 Journal de Mathématiques Pures et Appliquées. 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GAFA 2 Journal of Nonlinear Science 2 Fractals 2 Random Operators and Stochastic Equations 2 The Journal of Fourier Analysis and Applications 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. Mathematical, Physical and Engineering Sciences 2 Statistical Inference for Stochastic Processes 2 Acta Mathematica Sinica. English Series 2 Journal of Dynamical and Control Systems 2 Differential Equations 2 Journal of Evolution Equations 2 Journal of Statistical Mechanics: Theory and Experiment 2 Mathematical Biosciences and Engineering 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 SIAM Journal on Financial Mathematics 2 Probability Surveys 2 International Journal of Stochastic Analysis 2 Journal of Spectral Theory 2 Analysis and Mathematical Physics 2 Dependence Modeling 2 Journal of Fractal Geometry 2 Annales Henri Lebesgue 1 Communications in Mathematical Physics 1 Lithuanian Mathematical Journal 1 Nonlinearity 1 Nuclear Physics. B 1 Physica A 1 Reports on Mathematical Physics 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 Theory of Probability and its Applications 1 Applied Mathematics and Optimization 1 Canadian Journal of Mathematics 1 Collectanea Mathematica 1 Geometriae Dedicata 1 Integral Equations and Operator Theory 1 Inventiones Mathematicae 1 Journal of Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Nagoya Mathematical Journal 1 Quarterly of Applied Mathematics 1 SIAM Journal on Control and Optimization ...and 60 more Serials all top 5 Cited in 46 Fields 299 Probability theory and stochastic processes (60-XX) 109 Partial differential equations (35-XX) 108 Global analysis, analysis on manifolds (58-XX) 103 Differential geometry (53-XX) 44 Operator theory (47-XX) 36 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 32 Statistical mechanics, structure of matter (82-XX) 25 Topological groups, Lie groups (22-XX) 24 Measure and integration (28-XX) 23 Dynamical systems and ergodic theory (37-XX) 22 Abstract harmonic analysis (43-XX) 22 Functional analysis (46-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 19 Numerical analysis (65-XX) 18 Real functions (26-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 17 Ordinary differential equations (34-XX) 16 Several complex variables and analytic spaces (32-XX) 14 Potential theory (31-XX) 13 Systems theory; control (93-XX) 12 Statistics (62-XX) 9 Special functions (33-XX) 8 Quantum theory (81-XX) 7 Combinatorics (05-XX) 7 Functions of a complex variable (30-XX) 7 Approximations and expansions (41-XX) 6 Difference and functional equations (39-XX) 4 Manifolds and cell complexes (57-XX) 3 Mechanics of particles and systems (70-XX) 3 Fluid mechanics (76-XX) 3 Information and communication theory, circuits (94-XX) 2 Number theory (11-XX) 2 Integral transforms, operational calculus (44-XX) 2 Geometry (51-XX) 2 Algebraic topology (55-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year