Liangbing Luo

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All published works

Action	Title	Year	Authors
+	Logarithmic Sobolev Inequalities on Homogeneous Spaces	2024	Maria Gordina Liangbing Luo
+ PDF Chat	Construction of a Dirichlet form on Metric Measure Spaces of Controlled Geometry	2024	Almaz Butaev Liangbing Luo Nageswari Shanmugalingam
+ PDF Chat	Non-Markovian maximal couplings and a vertical reflection principle on a class of sub-Riemannian manifolds	2024	Liangbing Luo Robert W. Neel
+	Logarithmic Sobolev inequalities on homogeneous spaces	2023	Maria Gordina Liangbing Luo
+	Construction of a Dirichlet form on metric measure spaces of controlled geometry	2023	Almaz Butaev Liangbing Luo Nageswari Shanmugalingam
+ PDF Chat	Logarithmic Sobolev inequalities on non-isotropic Heisenberg groups	2022	Maria Gordina Liangbing Luo
+	Logarithmic Sobolev inequalities on non-isotropic Heisenberg groups	2021	Maria Gordina Liangbing Luo

Common Coauthors

Coauthor	Papers Together
Maria Gordina	4
Nageswari Shanmugalingam	2
Almaz Butaev	2
Robert W. Neel	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Stratified Lie Groups and Potential Theory for their Sub-Laplacians	2007	Andrea Bonfiglioli Ermanno Lanconelli Francesco Uguzzoni	2
+ PDF Chat	Holomorphic functions and subelliptic heat kernels over Lie groups	2009	Bruce K. Driver Leonard Gross Laurent Saloff‐Coste	2
+ PDF Chat	Sharp constants in several inequalities on the Heisenberg group	2012	NULL AUTHOR_ID NULL AUTHOR_ID	2
+ PDF Chat	Coercive inequalities in higher-dimensional anisotropic heisenberg group	2021	Esther Bou Dagher Bogusław Zegarliński	2
+	Concentration, Results and Applications	2003	Gideon Schechtman	2
+	Lie Groups, Lie Algebras, and Representations	2003	Brian C. Hall	2
+	Gradient estimates for the subelliptic heat kernel on H-type groups	2009	Nathaniel Eldredge	2
+	Analysis and Geometry of Markov Diffusion Operators	2013	Dominique Bakry Ivan Gentil Michel Ledoux	2
+ PDF Chat	Logarithmic Sobolev inequalities on Lie groups	1992	Leonard Gross	2
+	Log-Sobolev inequalities for subelliptic operators satisfying a generalized curvature dimension inequality	2012	Fabrice Baudoin Michel Bonnefont	2
+ PDF Chat	Sub-Laplacians on Sub-Riemannian Manifolds	2016	Maria Gordina Thomas Laetsch	2
+	Hypoelliptic heat kernel inequalities on the Heisenberg group	2004	Bruce K. Driver Tai Melcher	2
+ PDF Chat	Curvature-dimension inequalities and Ricci lower bounds for sub-Riemannian manifolds with transverse symmetries	2016	Fabrice Baudoin Nicola Garofalo	2
+	Coercive inequalities on metric measure spaces	2009	Waldemar Hebisch Bogusław Zegarliński	2
+	On gradient bounds for the heat kernel on the Heisenberg group	2008	Dominique Bakry Fabrice Baudoin Michel Bonnefont Djalil Chafaï	2
+	Estimation optimale du gradient du semi-groupe de la chaleur sur le groupe de Heisenberg	2006	Hong-Quan Li	2
+ PDF Chat	Growth of Taylor coefficients over complex homogeneous spaces	2010	Bruce K. Driver Leonard Gross Laurent Saloff‐Coste	2
+ PDF Chat	Hypoelliptic second order differential equations	1967	Lars Hörmander	2
+	Logarithmic Sobolev Inequalities	1975	Leonard Gross	2
+	p-harmonic functions on graphs and manifolds	1997	Ilkka Holopainen Paolo M. Soardi	1
+ PDF Chat	Convergence of spectral structures: a functional analytic theory and its applications to spectral geometry	2003	Kazuhiro Kuwae Takashi Shioya	1
+	Lie Groups Beyond an Introduction	1996	Anthony W. Knapp	1
+ PDF Chat	Quasi-invariance for heat kernel measures on sub-Riemannian infinite-dimensional Heisenberg groups	2012	Fabrice Baudoin Maria Gordina Tai Melcher	1
+ PDF Chat	The spectrum of the Laplacian on Riemannian Heisenberg manifolds.	1986	Carolyn S. Gordon Edward N. Wilson	1
+ PDF Chat	Variational convergence over metric spaces	2007	Kazuhiro Kuwae Takashi Shioya	1
+ PDF Chat	Estimations asymptotiques du noyau de la chaleur sur les groupes de Heisenberg	2007	Hong-Quan Li	1
+	Gradient Estimates for the Heat Semigroup on H-Type Groups	2010	Jun-Qi Hu Hong-Quan Li	1
+	Compact Heisenberg manifolds as CR manifolds	2004	Gerald B. Folland	1
+	Precise estimates for the subelliptic heat kernel on H-type groups	2009	Nathaniel Eldredge	1
+ PDF Chat	Widder’s Representation Theorem for Symmetric Local Dirichlet Spaces	2013	Nathaniel Eldredge Laurent Saloff‐Coste	1
+	Tightness of general C1, p capacities on Banach space	1992	Michael Ro ̈ckner Byron Schmuland	1
+ PDF Chat	A subelliptic Taylor isomorphism on infinite-dimensional Heisenberg groups	2011	Maria Gordina Tai Melcher	1
+ PDF Chat	Semi-groups of measures on Lie groups	1956	G. A. Hunt	1
+	Analysis on Lie groups	1988	N. Th. Varopoulos	1
+ PDF Chat	An (n + 1)– fold Marcinkiewicz multiplier theorem on the Heisenberg group	2001	A. J. Fraser	1
+	Ornstein–Uhlenbeck semi-groups on stratified groups	2009	Françoise Lust-Piquard	1
+	Hypoelliptic heat kernel inequalities on H-type groups	2014	Nathaniel Eldredge	1
+ PDF Chat	Orbits of families of vector fields and integrability of distributions	1973	Héctor J. Sussmann	1
+ PDF Chat	Diffusion processes and heat kernels on metric spaces	1998	Karl‐Theodor Sturm	1
+ PDF Chat	Discrete approximations of metric measure spaces of controlled geometry	2015	James T. Gill Marcos López	1
+	Log-Sobolev inequalities on the horizontal path space of a totally geodesic foliation	2015	Fabrice Baudoin Qi Feng	1
+ PDF Chat	An Application of a Functional Inequality to Quasi-Invariance in Infinite Dimensions	2017	Maria Gordina	1
+	Fundamental Solutions for Second Order Subelliptic Operators	1986	Charles Fefferman Antonio Sánchez-Calle	1
+ PDF Chat	Revisiting the heat kernel on isotropic and nonisotropic Heisenberg groups*	2019	Hong-Quan Li Ye Zhang	1
+ PDF Chat	Sobolev spaces and hyperbolic fillings	2015	Mario Bonk Eero Saksman	1
+ PDF Chat	On the conformal gauge of a compact metric space	2013	Matías Piaggio	1
+	Heat kernel analysis on infinite-dimensional Heisenberg groups	2008	Bruce K. Driver Maria Gordina	1
+ PDF Chat	A rigidity result for metric measure spaces with Euclidean heat kernel	2021	Gilles Carron David Tewodrose	1
+ PDF Chat	Euclidean spaces as weak tangents of infinitesimally Hilbertian metric measure spaces with Ricci curvature bounded below	2013	Nicola Gigli Andrea Mondino Tapio Rajala	1
+ PDF Chat	Quantum confinement on non-complete Riemannian manifolds	2018	Dario Prandi Luca Rizzi Marcello Seri	1