Edit Profile (opens in new tab) Coulhon, Thierry Co-Author Distance Author ID: coulhon.thierry Published as: Coulhon, Thierry; Coulhon, T.; Coulhoun, Thierry; Coulhon, Th. more...less Homepage: http://maths-people.anu.edu.au/~coulhont/ External Links: MGP · ORCID · Wikidata · Twitter · GND · IdRef · theses.fr Documents Indexed: 81 Publications since 1984, including 3 Books and 1 Additional arXiv Preprint 3 Contributions as Editor Co-Authors: 53 Co-Authors with 62 Joint Publications 1,447 Co-Co-Authors all top 5 Co-Authors 22 single-authored 14 Saloff-Coste, Laurent 9 Grigor’yan, Alexander Asaturovich 5 Auscher, Pascal 5 Duong, Xuan Thinh 5 Sikora, Adam 2 Barlow, Martin T. 2 Bernicot, Frédéric 2 Carron, Gilles 2 Chen, Li 2 Frey, Dorothee 2 Holopainen, Ilkka 2 Koskela, Pekka 2 Kumagai, Takashi 2 Lamberton, Damien 2 Ledoux, Michel 2 Russ, Emmanuel 2 Varopoulos, Nicholas Theodore 1 Bakry, Dominique 1 Bendikov, Alexander D. 1 Boutayeb, Salahaddine 1 Carey, Alan L. 1 Devyver, Baptiste 1 Dungey, Nicholas 1 Feneuil, Joseph 1 Franchi, Bruno 1 Hassell, Andrew 1 Hauer, Daniel 1 Hofmann, Steve 1 Hua, Bobo 1 Jiang, Renjin 1 Kerkyacharian, Gérard 1 Levin, Daniel 1 Li, Hongquan 1 Li, Xiang-Dong 1 Mathai, Varghese 1 Meda, Stefano 1 Mongin, Philippe 1 Müller, Detlef 1 Ouhabaz, El Maati 1 Petrushev, Pencho P. 1 Phillips, John 1 Pittet, Christophe 1 Raynaud, Yves 1 Rogers, Luke G. 1 Sturm, Karl-Theodor 1 Tardivel-Nachef, Valérie 1 Tchamitchian, Philippe 1 Trudinger, Neil Sidney 1 Vespri, Vincenzo Riccardo 1 Xuan Thinh Duong 1 Zhang, Qi-Shuhuason 1 Zienkiewicz, Jacek 1 Zucca, Fabio all top 5 Serials 5 Comptes Rendus de l’Académie des Sciences. Série I 3 Journal of Functional Analysis 3 Geometric and Functional Analysis. GAFA 2 Communications on Pure and Applied Mathematics 2 Colloquium Mathematicum 2 Duke Mathematical Journal 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Revista Matemática Iberoamericana 2 The Journal of Geometric Analysis 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Potential Analysis 2 Cambridge Tracts in Mathematics 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Studia Mathematica 1 Arkiv för Matematik 1 Advances in Mathematics 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Bulletin des Sciences Mathématiques. Deuxième Série 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of Approximation Theory 1 Journal of Differential Geometry 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the London Mathematical Society. Third Series 1 Tôhoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Journal of Operator Theory 1 Social Choice and Welfare 1 Probability Theory and Related Fields 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Communications in Analysis and Geometry 1 Bulletin des Sciences Mathématiques 1 Advances in Differential Equations 1 The Journal of Fourier Analysis and Applications 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Journal of Evolution Equations 1 Milan Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Oberwolfach Reports 1 Contemporary Mathematics 1 Journal of Fractal Geometry 1 Journal de l’École Polytechnique – Mathématiques all top 5 Fields 43 Global analysis, analysis on manifolds (58-XX) 28 Operator theory (47-XX) 19 Partial differential equations (35-XX) 19 Functional analysis (46-XX) 16 Probability theory and stochastic processes (60-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 10 Abstract harmonic analysis (43-XX) 8 Differential geometry (53-XX) 6 Topological groups, Lie groups (22-XX) 6 Potential theory (31-XX) 4 General and overarching topics; collections (00-XX) 3 Group theory and generalizations (20-XX) 3 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 73 Publications have been cited 2,382 times in 1,446 Documents Cited by ▼ Year ▼ Analysis on Lie groups. Zbl 0813.22003 Varopoulos, N. Th.; Saloff-Coste, L.; Coulhon, T. 412 1992 Riesz transform on manifolds and heat kernel regularity. Zbl 1086.58013 Auscher, Pascal; Coulhon, Thierry; Duong, Xuan Thinh; Hofmann, Steve 140 2004 Riesz transforms for \(1\leq p\leq 2\). Zbl 0973.58018 Coulhon, Thierry; Duong, Xuan Thinh 126 1999 Gaussian heat kernel upper bounds via the Phragmén-Lindelöf theorem. Zbl 1148.35009 Coulhon, Thierry; Sikora, Adam 120 2008 Sobolev inequalities in disguise. Zbl 0857.26006 Bakry, D.; Coulhon, T.; Ledoux, M.; Saloff-Coste, L. 110 1995 Ultracontractivity and Nash type inequalities. Zbl 0887.58009 Coulhon, Thierry 87 1996 Isoperimetricity for groups and manifolds. (Isopérimétrie pour les groupes et les variétés.) Zbl 0782.53066 Coulhon, Thierry; Saloff-Coste, Laurent 82 1993 Analysis and geometry on groups. Paperback reprint of the 1992 original. Zbl 1179.22009 Varopoulos, N. Th.; Saloff-Coste, L.; Coulhon, T. 72 2008 Isometric Riemannian manifolds at infinity. (Variétés riemanniennes isométriques à l’infini.) Zbl 0845.58054 Coulhon, Thierry; Saloff-Coste, Laurent 61 1995 Heat kernel generated frames in the setting of Dirichlet spaces. Zbl 1270.58015 Coulhon, T.; Kerkyacharian, G.; Petrushev, P. 61 2012 Maximal regularity and kernel bounds: observations on a theorem by Hieber and Prüss. Zbl 1001.34046 Coulhon, Thierry; Duong, Xuan Thinh 61 2000 Riesz transform and related inequalities on non-compact Riemannian manifolds. Zbl 1037.58017 Coulhon, Thierry; Xuan Thinh Duong 58 2003 Characterization of sub-Gaussian heat kernel estimates on strongly recurrent graphs. Zbl 1083.60060 Barlow, Martin T.; Coulhoun, Thierry; Kumagai, Takashi 55 2005 Random walks on graphs with regular volume growth. Zbl 0918.60053 Coulhon, T.; Grigoryan, A. 55 1998 Riesz transform and \(L^p\)-cohomology for manifolds with Euclidean ends. Zbl 1106.58021 Carron, Gilles; Coulhon, Thierry; Hassell, Andrew 49 2006 On-diagonal lower bounds for heat kernels and Markov chains. Zbl 0920.58064 Coulhon, Thierry; Grigor’yan, Alexander 42 1997 Harnack inequality and hyperbolicity for subelliptic \(p\)-Laplacians with applications to Picard type theorems. Zbl 1005.58013 Coulhon, T.; Holopainen, I.; Saloff-Coste, L. 42 2001 Sobolev algebras on Lie groups and Riemannian manifolds. Zbl 0990.43003 Coulhon, Thierry; Russ, Emmanuel; Tardivel-Nachef, Valérie 39 2001 Riesz transform on manifolds and Poincaré inequalities. Zbl 1116.58023 Auscher, P.; Coulhon, Thierry 38 2005 Manifolds and graphs with slow heat kernel decay. Zbl 1003.58025 Barlow, Martin; Coulhon, Thierry; Grigor’yan, Alexander 37 2001 About Riesz transforms on the Heisenberg groups. Zbl 0859.22006 Coulhon, Thierry; Müller, Detlef; Zienkiewicz, Jacek 34 1996 Puissances d’un opérateur régularisant. (Powers of a regularizing operator). Zbl 0709.47042 Coulhon, Thierry; Saloff-Coste, Laurent 31 1990 Gaussian estimates and \(L^p\)-boundedness of Riesz means. Zbl 1328.35064 Carron, Gilles; Coulhon, Thierry; Ouhabaz, El-Maati 31 2002 A new approach to pointwise heat kernel upper bounds on doubling metric measure spaces. Zbl 1304.35314 Boutayeb, Salahaddine; Coulhon, Thierry; Sikora, Adam 26 2015 A geometric approach to on-diagonal heat kernel lower bounds on groups. Zbl 1137.58307 Coulhon, Thierry; Grigor’yan, Alexander; Pittet, Christophe 26 2001 The discrete integral maximum principle and its applications. Zbl 1096.60023 Coulhon, Thierry; Grigor’yan, Alexander; Zucca, Fabio 24 2005 Littlewood-Paley-Stein functions on complete Riemannian manifolds for \(1\leq p\leq 2\). Zbl 1035.42014 Coulhon, Thierry; Duong, Xuan Thinh; Li, Xiang Dong 24 2003 Gradient estimates for heat kernels and harmonic functions. Zbl 1439.53041 Coulhon, Thierry; Jiang, Renjin; Koskela, Pekka; Sikora, Adam 24 2020 Dimension at infinity of an analytic semigroup. (Dimension à l’infini d’un semi-groupe analytique.) Zbl 0738.47032 Coulhon, Thierry 22 1990 Random walks and geometry on infinite graphs. Zbl 1063.60063 Coulhon, Thierry 20 2000 Riesz transform for \(1\leq p \leq 2\) without Gaussian heat kernel bound. Zbl 1371.58015 Chen, Li; Coulhon, Thierry; Feneuil, Joseph; Russ, Emmanuel 20 2017 Lipschitz spaces and Poincaré inequalities. (Espaces de Lipschitz et inégalités de Poincaré.) Zbl 0859.58009 Coulhon, Thierry 18 1996 Gaussian heat kernel bounds through elliptic Moser iteration. Zbl 1432.58018 Bernicot, Frédéric; Coulhon, Thierry; Frey, Dorothee 18 2016 Off-diagonal heat kernel lower bounds without Poincaré. Zbl 1083.58025 Coulhon, Thierry 17 2003 Large time behavior of heat kernels on forms. Zbl 1137.58013 Coulhon, Thierry; Zhang, Qi S. 17 2007 Heat kernel and isoperimetry on non-compact Riemannian manifolds. Zbl 1045.58016 Coulhon, Thierry 16 2003 Lower estimates of the heat kernel on conic manifolds and Riesz transform. (Estimations inférieures du noyau de la chaleur sur les variétés coniques et transformée de Riesz.) Zbl 1076.58017 Coulhon, Thierry; Li, Hong-Quan 15 2004 Riesz transforms for \(p>2\). Zbl 0987.43001 Coulhon, Thierry; Duong, Xuan Thinh 15 2001 On isoperimetric profiles of product spaces. Zbl 1085.53027 Coulhon, Thierry; Grigor’yan, Alexander; Levin, Daniel 14 2003 Isoperimetry, decrease of the heat kernel and Riesz transformations: A counterexample. (Isopérimétrie, décroissance du noyau de la chaleur et transformations de Riesz: Un contre-exemple.) Zbl 0826.53035 Coulhon, Thierry; Ledoux, Michel 13 1994 Absence de principe du maximum pour certaines équations paraboliques complexes. Zbl 0960.35011 Auscher, Pascal; Coulhon, Thierry; Tchamitchian, Philippe 13 1996 Gagliardo-Nirenberg inequalities for semigroups of operators and applications. (Inégalités de Gagliardo-Nirenberg pour les semi-groupes d’opérateurs et applications.) Zbl 0768.47018 Coulhon, Thierry 12 1992 Social choice theory in the case of von Neumann-Morgenstern utilities. Zbl 0678.90009 Coulhon, T.; Mongin, P. 12 1989 Noyau de la chaleur et discrétisation d’une variété riemannienne. (Heat kernel and discretization of a Riemannian manifold). Zbl 0772.58055 Coulhon, Thierry 12 1992 Riesz transform and perturbation. Zbl 1122.58014 Coulhon, Thierry; Dungey, Nicholas 12 2007 Riesz meets Sobolev. Zbl 1194.58027 Coulhon, Thierry; Sikora, Adam 12 2010 Ultracontractivity and embedding into \(L^\infty\). Zbl 1132.47031 Bendikov, A.; Coulhon, T.; Saloff-Coste, L. 11 2007 Regularité L p pour les équations d’évolution. (L p regularity for evolution equations). Zbl 0641.47046 Coulhon, Thierry; Lamberton, Damien 11 1985 Moser iteration and Gauss estimation of the heat kernel. (Itération de Moser et estimation gaussienne du noyau de la chaleur.) Zbl 0882.47014 Coulhon, Thierry 10 1993 Gaussian lower bounds for random walks from elliptic regularity. Zbl 0933.60047 Auscher, Pascal; Coulhon, Thierry 9 1999 Lower bounds for one-dimensional Markov chains. (Minorations pour les chaînes de Markov unidimensionnelles.) Zbl 0792.60063 Coulhon, Th.; Saloff-Coste, L. 8 1993 Pointwise estimates for transition probabilities of random walks on infinite graphs. Zbl 1048.60081 Coulhon, Thierry; Grigor’yan, Alexander 8 2003 Gaussian heat kernel estimates: from functions to forms. Zbl 1444.58009 Coulhon, Thierry; Devyver, Baptiste; Sikora, Adam 8 2020 Dimensions at infinity for Riemannian manifolds. Zbl 0847.53022 Coulhon, Thierry 7 1995 Marches aléatoires non symétriques sur les groupes unimodulaires. (Non-symmetric random walks on unimodular groups). Zbl 0748.60008 Coulhon, Thierry; Saloff-Coste, Laurent 6 1990 Sobolev algebras through heat kernel estimates. (Algèbres de Sobolev via des estimations du noyau de la chaleur.) Zbl 1364.46029 Bernicot, Frédéric; Coulhon, Thierry; Frey, Dorothee 6 2016 Semigroups of operators and function spaces on Lie groups. (Semi-groupes d’opérateurs et espaces fonctionnels sur les groupes de Lie.) Zbl 0745.47030 Coulhon, Thierry; Saloff-Coste, Laurent 5 1991 Heat kernel estimates, Sobolev-type inequalities and Riesz transform on noncompact Riemannian manifolds. Zbl 1273.58012 Coulhon, Thierry 5 2013 Analysis on infinite graphs with regular volume growth. Zbl 0960.58021 Coulhon, Thierry 5 1999 Heat kernels and analysis on manifolds, graphs, and metric spaces. Lecture notes from a quarter program on heat kernels, random walks, and analysis on manifolds and graphs, April 16–July 13, 2002, Paris, France. Zbl 1029.00030 5 2003 Quelques remarques sur la régularité \(L^ p\) du semi-groupe de Stokes. (Some remarks on the \(L^ p\) regularity of the Stokes semigroup). Zbl 0783.35045 Coulhon, Thierry; Lamberton, Damien 4 1992 Dimensions of continuous and discrete semigroups on the \(L^ p\)-spaces. Zbl 0744.47032 Coulhon, Thierry 4 1991 Geometric interpretations of \(L^P\)-Poincaré inequalities on graphs with polynomial volume growth. Zbl 1225.46027 Coulhon, Thierry; Koskela, Pekka 4 2004 Subexponential ultracontractivity and \(L^p\)-\(L^q\) functional calculus. Zbl 1058.47036 Coulhon, Thierry; Meda, Stefano 4 2003 Heat kernels, volume growth and anti-isoperimetric inequalities. Zbl 0873.58062 Coulhon, Thierry; Grigor’yan, Alexander 3 1996 Riesz transforms for bounded Laplacians on graphs. Zbl 1480.42024 Chen, Li; Coulhon, Thierry; Hua, Bobo 3 2020 Théorèmes de Sobolev pour les semi-groupes d’opérateurs et application aux groupes de Lie unimodulaires. (Sobolev theorems for semigroups of operators and application to unimodular Lie-groups). Zbl 0697.43003 Coulhon, Thierry; Saloff-Coste, Laurent 2 1989 Heat kernels on non-compact Riemannian manifolds: a partial survey. Zbl 0903.58055 Coulhon, Thierry 2 1997 Théorie de Hardy-Littlewood-Sobolev pour les semi-groupes d’opérateurs et application aux groupes de Lie unimodulaires. (Hardy- Littlewood-Sobolev theory for semigroups of operators and applications to unimodular Lie groups). Zbl 0706.47026 Coulhon, Thierry; Saloff-Coste, Laurent 2 1988 Von Neumann spectra near the spectral gap. Zbl 0911.58034 Carey, Alan L.; Coulhon, Thierry; Mathai, Varghese; Phillips, John 2 1998 Suites d’opérateurs sur un espace \({\mathcal C}(K)\) de Grothendieck. (Sequences of operators on a Grothendieck \({\mathcal C}(K)\) space). Zbl 0563.46020 Coulhon, Thierry 1 1984 Suites d’opérateurs a puissances bornées dans les espaces ayant la propriéte de Dunford-Pettis. (Sequences of power bounded operators in spaces with the Dunford-Pettis property). Zbl 0659.46018 Coulhon, Thierry 1 1985 Large time behaviour of heat kernels on Riemannian manifolds: Fast and slow decays. Zbl 1021.35014 Coulhon, Thierry 1 1998 Gradient estimates for heat kernels and harmonic functions. Zbl 1439.53041 Coulhon, Thierry; Jiang, Renjin; Koskela, Pekka; Sikora, Adam 24 2020 Gaussian heat kernel estimates: from functions to forms. Zbl 1444.58009 Coulhon, Thierry; Devyver, Baptiste; Sikora, Adam 8 2020 Riesz transforms for bounded Laplacians on graphs. Zbl 1480.42024 Chen, Li; Coulhon, Thierry; Hua, Bobo 3 2020 Riesz transform for \(1\leq p \leq 2\) without Gaussian heat kernel bound. Zbl 1371.58015 Chen, Li; Coulhon, Thierry; Feneuil, Joseph; Russ, Emmanuel 20 2017 Gaussian heat kernel bounds through elliptic Moser iteration. Zbl 1432.58018 Bernicot, Frédéric; Coulhon, Thierry; Frey, Dorothee 18 2016 Sobolev algebras through heat kernel estimates. (Algèbres de Sobolev via des estimations du noyau de la chaleur.) Zbl 1364.46029 Bernicot, Frédéric; Coulhon, Thierry; Frey, Dorothee 6 2016 A new approach to pointwise heat kernel upper bounds on doubling metric measure spaces. Zbl 1304.35314 Boutayeb, Salahaddine; Coulhon, Thierry; Sikora, Adam 26 2015 Heat kernel estimates, Sobolev-type inequalities and Riesz transform on noncompact Riemannian manifolds. Zbl 1273.58012 Coulhon, Thierry 5 2013 Heat kernel generated frames in the setting of Dirichlet spaces. Zbl 1270.58015 Coulhon, T.; Kerkyacharian, G.; Petrushev, P. 61 2012 Riesz meets Sobolev. Zbl 1194.58027 Coulhon, Thierry; Sikora, Adam 12 2010 Gaussian heat kernel upper bounds via the Phragmén-Lindelöf theorem. Zbl 1148.35009 Coulhon, Thierry; Sikora, Adam 120 2008 Analysis and geometry on groups. Paperback reprint of the 1992 original. Zbl 1179.22009 Varopoulos, N. Th.; Saloff-Coste, L.; Coulhon, T. 72 2008 Large time behavior of heat kernels on forms. Zbl 1137.58013 Coulhon, Thierry; Zhang, Qi S. 17 2007 Riesz transform and perturbation. Zbl 1122.58014 Coulhon, Thierry; Dungey, Nicholas 12 2007 Ultracontractivity and embedding into \(L^\infty\). Zbl 1132.47031 Bendikov, A.; Coulhon, T.; Saloff-Coste, L. 11 2007 Riesz transform and \(L^p\)-cohomology for manifolds with Euclidean ends. Zbl 1106.58021 Carron, Gilles; Coulhon, Thierry; Hassell, Andrew 49 2006 Characterization of sub-Gaussian heat kernel estimates on strongly recurrent graphs. Zbl 1083.60060 Barlow, Martin T.; Coulhoun, Thierry; Kumagai, Takashi 55 2005 Riesz transform on manifolds and Poincaré inequalities. Zbl 1116.58023 Auscher, P.; Coulhon, Thierry 38 2005 The discrete integral maximum principle and its applications. Zbl 1096.60023 Coulhon, Thierry; Grigor’yan, Alexander; Zucca, Fabio 24 2005 Riesz transform on manifolds and heat kernel regularity. Zbl 1086.58013 Auscher, Pascal; Coulhon, Thierry; Duong, Xuan Thinh; Hofmann, Steve 140 2004 Lower estimates of the heat kernel on conic manifolds and Riesz transform. (Estimations inférieures du noyau de la chaleur sur les variétés coniques et transformée de Riesz.) Zbl 1076.58017 Coulhon, Thierry; Li, Hong-Quan 15 2004 Geometric interpretations of \(L^P\)-Poincaré inequalities on graphs with polynomial volume growth. Zbl 1225.46027 Coulhon, Thierry; Koskela, Pekka 4 2004 Riesz transform and related inequalities on non-compact Riemannian manifolds. Zbl 1037.58017 Coulhon, Thierry; Xuan Thinh Duong 58 2003 Littlewood-Paley-Stein functions on complete Riemannian manifolds for \(1\leq p\leq 2\). Zbl 1035.42014 Coulhon, Thierry; Duong, Xuan Thinh; Li, Xiang Dong 24 2003 Off-diagonal heat kernel lower bounds without Poincaré. Zbl 1083.58025 Coulhon, Thierry 17 2003 Heat kernel and isoperimetry on non-compact Riemannian manifolds. Zbl 1045.58016 Coulhon, Thierry 16 2003 On isoperimetric profiles of product spaces. Zbl 1085.53027 Coulhon, Thierry; Grigor’yan, Alexander; Levin, Daniel 14 2003 Pointwise estimates for transition probabilities of random walks on infinite graphs. Zbl 1048.60081 Coulhon, Thierry; Grigor’yan, Alexander 8 2003 Heat kernels and analysis on manifolds, graphs, and metric spaces. Lecture notes from a quarter program on heat kernels, random walks, and analysis on manifolds and graphs, April 16–July 13, 2002, Paris, France. Zbl 1029.00030 5 2003 Subexponential ultracontractivity and \(L^p\)-\(L^q\) functional calculus. Zbl 1058.47036 Coulhon, Thierry; Meda, Stefano 4 2003 Gaussian estimates and \(L^p\)-boundedness of Riesz means. Zbl 1328.35064 Carron, Gilles; Coulhon, Thierry; Ouhabaz, El-Maati 31 2002 Harnack inequality and hyperbolicity for subelliptic \(p\)-Laplacians with applications to Picard type theorems. Zbl 1005.58013 Coulhon, T.; Holopainen, I.; Saloff-Coste, L. 42 2001 Sobolev algebras on Lie groups and Riemannian manifolds. Zbl 0990.43003 Coulhon, Thierry; Russ, Emmanuel; Tardivel-Nachef, Valérie 39 2001 Manifolds and graphs with slow heat kernel decay. Zbl 1003.58025 Barlow, Martin; Coulhon, Thierry; Grigor’yan, Alexander 37 2001 A geometric approach to on-diagonal heat kernel lower bounds on groups. Zbl 1137.58307 Coulhon, Thierry; Grigor’yan, Alexander; Pittet, Christophe 26 2001 Riesz transforms for \(p>2\). Zbl 0987.43001 Coulhon, Thierry; Duong, Xuan Thinh 15 2001 Maximal regularity and kernel bounds: observations on a theorem by Hieber and Prüss. Zbl 1001.34046 Coulhon, Thierry; Duong, Xuan Thinh 61 2000 Random walks and geometry on infinite graphs. Zbl 1063.60063 Coulhon, Thierry 20 2000 Riesz transforms for \(1\leq p\leq 2\). Zbl 0973.58018 Coulhon, Thierry; Duong, Xuan Thinh 126 1999 Gaussian lower bounds for random walks from elliptic regularity. Zbl 0933.60047 Auscher, Pascal; Coulhon, Thierry 9 1999 Analysis on infinite graphs with regular volume growth. Zbl 0960.58021 Coulhon, Thierry 5 1999 Random walks on graphs with regular volume growth. Zbl 0918.60053 Coulhon, T.; Grigoryan, A. 55 1998 Von Neumann spectra near the spectral gap. Zbl 0911.58034 Carey, Alan L.; Coulhon, Thierry; Mathai, Varghese; Phillips, John 2 1998 Large time behaviour of heat kernels on Riemannian manifolds: Fast and slow decays. Zbl 1021.35014 Coulhon, Thierry 1 1998 On-diagonal lower bounds for heat kernels and Markov chains. Zbl 0920.58064 Coulhon, Thierry; Grigor’yan, Alexander 42 1997 Heat kernels on non-compact Riemannian manifolds: a partial survey. Zbl 0903.58055 Coulhon, Thierry 2 1997 Ultracontractivity and Nash type inequalities. Zbl 0887.58009 Coulhon, Thierry 87 1996 About Riesz transforms on the Heisenberg groups. Zbl 0859.22006 Coulhon, Thierry; Müller, Detlef; Zienkiewicz, Jacek 34 1996 Lipschitz spaces and Poincaré inequalities. (Espaces de Lipschitz et inégalités de Poincaré.) Zbl 0859.58009 Coulhon, Thierry 18 1996 Absence de principe du maximum pour certaines équations paraboliques complexes. Zbl 0960.35011 Auscher, Pascal; Coulhon, Thierry; Tchamitchian, Philippe 13 1996 Heat kernels, volume growth and anti-isoperimetric inequalities. Zbl 0873.58062 Coulhon, Thierry; Grigor’yan, Alexander 3 1996 Sobolev inequalities in disguise. Zbl 0857.26006 Bakry, D.; Coulhon, T.; Ledoux, M.; Saloff-Coste, L. 110 1995 Isometric Riemannian manifolds at infinity. (Variétés riemanniennes isométriques à l’infini.) Zbl 0845.58054 Coulhon, Thierry; Saloff-Coste, Laurent 61 1995 Dimensions at infinity for Riemannian manifolds. Zbl 0847.53022 Coulhon, Thierry 7 1995 Isoperimetry, decrease of the heat kernel and Riesz transformations: A counterexample. (Isopérimétrie, décroissance du noyau de la chaleur et transformations de Riesz: Un contre-exemple.) Zbl 0826.53035 Coulhon, Thierry; Ledoux, Michel 13 1994 Isoperimetricity for groups and manifolds. (Isopérimétrie pour les groupes et les variétés.) Zbl 0782.53066 Coulhon, Thierry; Saloff-Coste, Laurent 82 1993 Moser iteration and Gauss estimation of the heat kernel. (Itération de Moser et estimation gaussienne du noyau de la chaleur.) Zbl 0882.47014 Coulhon, Thierry 10 1993 Lower bounds for one-dimensional Markov chains. (Minorations pour les chaînes de Markov unidimensionnelles.) Zbl 0792.60063 Coulhon, Th.; Saloff-Coste, L. 8 1993 Analysis on Lie groups. Zbl 0813.22003 Varopoulos, N. Th.; Saloff-Coste, L.; Coulhon, T. 412 1992 Gagliardo-Nirenberg inequalities for semigroups of operators and applications. (Inégalités de Gagliardo-Nirenberg pour les semi-groupes d’opérateurs et applications.) Zbl 0768.47018 Coulhon, Thierry 12 1992 Noyau de la chaleur et discrétisation d’une variété riemannienne. (Heat kernel and discretization of a Riemannian manifold). Zbl 0772.58055 Coulhon, Thierry 12 1992 Quelques remarques sur la régularité \(L^ p\) du semi-groupe de Stokes. (Some remarks on the \(L^ p\) regularity of the Stokes semigroup). Zbl 0783.35045 Coulhon, Thierry; Lamberton, Damien 4 1992 Semigroups of operators and function spaces on Lie groups. (Semi-groupes d’opérateurs et espaces fonctionnels sur les groupes de Lie.) Zbl 0745.47030 Coulhon, Thierry; Saloff-Coste, Laurent 5 1991 Dimensions of continuous and discrete semigroups on the \(L^ p\)-spaces. Zbl 0744.47032 Coulhon, Thierry 4 1991 Puissances d’un opérateur régularisant. (Powers of a regularizing operator). Zbl 0709.47042 Coulhon, Thierry; Saloff-Coste, Laurent 31 1990 Dimension at infinity of an analytic semigroup. (Dimension à l’infini d’un semi-groupe analytique.) Zbl 0738.47032 Coulhon, Thierry 22 1990 Marches aléatoires non symétriques sur les groupes unimodulaires. (Non-symmetric random walks on unimodular groups). Zbl 0748.60008 Coulhon, Thierry; Saloff-Coste, Laurent 6 1990 Social choice theory in the case of von Neumann-Morgenstern utilities. Zbl 0678.90009 Coulhon, T.; Mongin, P. 12 1989 Théorèmes de Sobolev pour les semi-groupes d’opérateurs et application aux groupes de Lie unimodulaires. (Sobolev theorems for semigroups of operators and application to unimodular Lie-groups). Zbl 0697.43003 Coulhon, Thierry; Saloff-Coste, Laurent 2 1989 Théorie de Hardy-Littlewood-Sobolev pour les semi-groupes d’opérateurs et application aux groupes de Lie unimodulaires. (Hardy- Littlewood-Sobolev theory for semigroups of operators and applications to unimodular Lie groups). Zbl 0706.47026 Coulhon, Thierry; Saloff-Coste, Laurent 2 1988 Regularité L p pour les équations d’évolution. (L p regularity for evolution equations). Zbl 0641.47046 Coulhon, Thierry; Lamberton, Damien 11 1985 Suites d’opérateurs a puissances bornées dans les espaces ayant la propriéte de Dunford-Pettis. (Sequences of power bounded operators in spaces with the Dunford-Pettis property). Zbl 0659.46018 Coulhon, Thierry 1 1985 Suites d’opérateurs sur un espace \({\mathcal C}(K)\) de Grothendieck. (Sequences of operators on a Grothendieck \({\mathcal C}(K)\) space). Zbl 0563.46020 Coulhon, Thierry 1 1984 all cited Publications top 5 cited Publications all top 5 Cited by 1,329 Authors 50 Saloff-Coste, Laurent 43 Duong, Xuan Thinh 36 Yan, Lixin 31 Grigor’yan, Alexander Asaturovich 31 The Anh Bui 27 Coulhon, Thierry 27 Yang, Dachun 25 Li, Ji 21 Ouhabaz, El Maati 19 Sikora, Adam 18 Auscher, Pascal 18 Kumagai, Takashi 18 Li, Hongquan 17 Chen, Peng 17 Franchi, Bruno 17 Vallarino, Maria 16 Baudoin, Fabrice 15 Barlow, Martin T. 15 Martini, Alessio 15 Wang, Feng-Yu 14 Bendikov, Alexander D. 14 Bernicot, Frédéric 14 Chen, Li 14 Hua, Bobo 13 Song, Liang 12 Meda, Stefano 12 Zheng, Tianyi 11 Bonfiglioli, Andrea 11 Garofalo, Nicola 11 Georgiadis, Athanasios G. 11 Sjogren, Peter 11 Wang, Jian 11 Zhao, Jiman 10 Frey, Dorothee 10 Hu, Jiaxin 10 Kerkyacharian, Gérard 10 Petrushev, Pencho P. 10 Pittet, Christophe 10 ter Elst, Antonius Frederik Maria 9 Badr, Nadine 9 Carron, Gilles 9 Grillo, Gabriele 9 Jiang, Renjin 9 Lanconelli, Ermanno 9 Martell, José María (Chema) 9 Murugan, Mathav Kishore 9 Mustapha, Sami 9 Russ, Emmanuel 9 Zegarlinski, Boguslaw 8 Baldi, Annalisa 8 Ceccon, Jurandir 8 Croydon, David A. 8 Liu, Yu 8 Morbidelli, Daniele 8 Peloso, Marco Maria 8 Robinson, Derek William 8 Shanmugalingam, Nageswari 8 Tessera, Romain 8 Uguzzoni, Francesco 7 Ambrosio, Luigi 7 Andres, Sebastian 7 Bruno, Tommaso 7 Cowling, Michael G. 7 Devyver, Baptiste 7 Driver, Bruce K. 7 Eldredge, Nathaniel Gilbert Bartsch 7 Hassell, Andrew 7 Liu, Liguang 7 Lohoué, Noël 7 Metafune, Giorgio 7 Müller, Detlef 7 Pankka, Pekka 7 Pigola, Stefano 7 Spina, Chiara 7 Telcs, András 7 Veronelli, Giona 7 Zhou, Yuan 6 Blunck, Sönke 6 Chen, Yanping 6 Ding, Yong 6 Dungey, Nicholas 6 Erschler, Anna 6 Güneysu, Batu 6 Hofmann, Steve 6 Hu, Guorong 6 Kristály, Alexandru 6 Le Donne, Enrico 6 Li, Bo 6 Li, Xiang-Dong 6 Lin, Yong 6 Lu, Guozhen 6 Maheux, Patrick 6 Muratori, Matteo 6 Nowak, Adam 6 Polidoro, Sergio 6 Rehberg, Joachim 6 Wu, Qingyan 6 Xiao, Jie 6 Zhang, Junyong 5 Bakry, Dominique ...and 1,229 more Authors all top 5 Cited in 250 Serials 130 Journal of Functional Analysis 66 The Journal of Geometric Analysis 60 Potential Analysis 49 Transactions of the American Mathematical Society 40 Mathematische Annalen 40 Mathematische Zeitschrift 38 Journal of Mathematical Analysis and Applications 36 Advances in Mathematics 36 Revista Matemática Iberoamericana 33 Annales de l’Institut Fourier 29 Journal of Differential Equations 26 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 25 Probability Theory and Related Fields 24 Proceedings of the American Mathematical Society 24 The Journal of Fourier Analysis and Applications 21 Journal d’Analyse Mathématique 20 Journal de Mathématiques Pures et Appliquées. Neuvième Série 19 The Annals of Probability 16 Duke Mathematical Journal 15 Bulletin des Sciences Mathématiques 14 Calculus of Variations and Partial Differential Equations 13 Manuscripta Mathematica 12 Journal of the Mathematical Society of Japan 12 Mathematische Nachrichten 11 Communications in Mathematical Physics 11 Annali di Matematica Pura ed Applicata. Serie Quarta 11 Stochastic Processes and their Applications 11 Journal of Evolution Equations 10 Electronic Journal of Probability 9 Bulletin de la Société Mathématique de France 9 Memoirs of the American Mathematical Society 9 Journal of Theoretical Probability 9 Acta Mathematica Sinica. English Series 8 Journal of Statistical Physics 8 Forum Mathematicum 8 Geometric and Functional Analysis. GAFA 8 Journal of Mathematical Sciences (New York) 8 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 8 Frontiers of Mathematics in China 8 Analysis and Geometry in Metric Spaces 7 Studia Mathematica 7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 7 Journal of the Australian Mathematical Society 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Science China. Mathematics 6 Israel Journal of Mathematics 6 Inventiones Mathematicae 6 Journal für die Reine und Angewandte Mathematik 6 Proceedings of the London Mathematical Society. Third Series 6 Semigroup Forum 6 Tôhoku Mathematical Journal. Second Series 6 Annals of Global Analysis and Geometry 6 Communications in Partial Differential Equations 6 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 6 Annales Mathématiques Blaise Pascal 6 Analysis & PDE 5 Journal of Mathematical Physics 5 Arkiv för Matematik 5 Collectanea Mathematica 5 Indiana University Mathematics Journal 5 Journal of Approximation Theory 5 Journal of the London Mathematical Society. Second Series 5 Constructive Approximation 5 Applied and Computational Harmonic Analysis 5 Journal of Inequalities and Applications 5 Communications in Contemporary Mathematics 5 Communications on Pure and Applied Analysis 4 Bulletin of the Australian Mathematical Society 4 Mathematical Methods in the Applied Sciences 4 Journal of Mathematical Economics 4 Monatshefte für Mathematik 4 Results in Mathematics 4 Vietnam Journal of Mathematics 4 Revista Matemática Complutense 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Groups, Geometry, and Dynamics 4 Journal of Spectral Theory 4 Annales Henri Lebesgue 3 Archive for Rational Mechanics and Analysis 3 Communications on Pure and Applied Mathematics 3 Archiv der Mathematik 3 Colloquium Mathematicum 3 Integral Equations and Operator Theory 3 Michigan Mathematical Journal 3 Acta Applicandae Mathematicae 3 The Annals of Applied Probability 3 NoDEA. Nonlinear Differential Equations and Applications 3 Journal of Lie Theory 3 Bernoulli 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Positivity 3 Annals of Mathematics. Second Series 3 Oberwolfach Reports 3 Complex Analysis and Operator Theory 3 Journal of Pseudo-Differential Operators and Applications 3 Analysis and Mathematical Physics 3 Advances in Nonlinear Analysis 3 Annales Fennici Mathematici 2 Discrete Applied Mathematics 2 Discrete Mathematics ...and 150 more Serials all top 5 Cited in 55 Fields 504 Partial differential equations (35-XX) 375 Harmonic analysis on Euclidean spaces (42-XX) 325 Global analysis, analysis on manifolds (58-XX) 309 Operator theory (47-XX) 301 Probability theory and stochastic processes (60-XX) 233 Functional analysis (46-XX) 216 Abstract harmonic analysis (43-XX) 165 Topological groups, Lie groups (22-XX) 158 Differential geometry (53-XX) 104 Potential theory (31-XX) 81 Real functions (26-XX) 78 Combinatorics (05-XX) 61 Functions of a complex variable (30-XX) 60 Group theory and generalizations (20-XX) 56 Measure and integration (28-XX) 41 Statistical mechanics, structure of matter (82-XX) 36 Calculus of variations and optimal control; optimization (49-XX) 22 Dynamical systems and ergodic theory (37-XX) 21 Difference and functional equations (39-XX) 19 Quantum theory (81-XX) 16 Numerical analysis (65-XX) 14 Ordinary differential equations (34-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Several complex variables and analytic spaces (32-XX) 12 Convex and discrete geometry (52-XX) 12 Fluid mechanics (76-XX) 11 Geometry (51-XX) 11 Manifolds and cell complexes (57-XX) 10 Special functions (33-XX) 10 Statistics (62-XX) 10 Information and communication theory, circuits (94-XX) 9 Approximations and expansions (41-XX) 9 Integral transforms, operational calculus (44-XX) 9 Biology and other natural sciences (92-XX) 6 General and overarching topics; collections (00-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Computer science (68-XX) 4 Algebraic geometry (14-XX) 4 Nonassociative rings and algebras (17-XX) 4 Integral equations (45-XX) 3 Associative rings and algebras (16-XX) 3 Mechanics of deformable solids (74-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Relativity and gravitational theory (83-XX) 3 Operations research, mathematical programming (90-XX) 2 Algebraic topology (55-XX) 2 Geophysics (86-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Sequences, series, summability (40-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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