Edit Profile (opens in new tab) Coulhon, Thierry Compute Distance To: Compute Author ID: coulhon.thierry Published as: Coulhon, Thierry; Coulhon, T.; Coulhoun, Thierry; Coulhon, Th. Homepage: http://maths-people.anu.edu.au/~coulhont/ External Links: MGP · ORCID · Wikidata · GND · IdRef · theses.fr Documents Indexed: 80 Publications since 1984, including 3 Books 3 Contributions as Editor Co-Authors: 51 Co-Authors with 61 Joint Publications 1,275 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 S. 2 Barlow, Martin T. 2 Bernicot, Frédéric 2 Carron, Gilles 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 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 Tohoku 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) 27 Operator theory (47-XX) 18 Partial differential equations (35-XX) 18 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 1,917 times in 1,146 Documents Cited by ▼ Year ▼ Analysis on Lie groups. Zbl 0813.22003Varopoulos, N. Th.; Saloff-Coste, L.; Coulhon, T. 329 1992 Riesz transform on manifolds and heat kernel regularity. Zbl 1086.58013Auscher, Pascal; Coulhon, Thierry; Duong, Xuan Thinh; Hofmann, Steve 118 2004 Riesz transforms for \(1\leq p\leq 2\). Zbl 0973.58018Coulhon, Thierry; Duong, Xuan Thinh 110 1999 Sobolev inequalities in disguise. Zbl 0857.26006Bakry, D.; Coulhon, T.; Ledoux, M.; Saloff-Coste, L. 101 1995 Gaussian heat kernel upper bounds via the Phragmén-Lindelöf theorem. Zbl 1148.35009Coulhon, Thierry; Sikora, Adam 95 2008 Ultracontractivity and Nash type inequalities. Zbl 0887.58009Coulhon, Thierry 73 1996 Isoperimetricity for groups and manifolds. (Isopérimétrie pour les groupes et les variétés.) Zbl 0782.53066Coulhon, Thierry; Saloff-Coste, Laurent 63 1993 Maximal regularity and kernel bounds: observations on a theorem by Hieber and Prüss. Zbl 1001.34046Coulhon, Thierry; Duong, Xuan Thinh 51 2000 Isometric Riemannian manifolds at infinity. (Variétés riemanniennes isométriques à l’infini.) Zbl 0845.58054Coulhon, Thierry; Saloff-Coste, Laurent 49 1995 Analysis and geometry on groups. Paperback reprint of the 1992 original. Zbl 1179.22009Varopoulos, N. Th.; Saloff-Coste, L.; Coulhon, T. 49 2008 Random walks on graphs with regular volume growth. Zbl 0918.60053Coulhon, T.; Grigoryan, A. 46 1998 Heat kernel generated frames in the setting of Dirichlet spaces. Zbl 1270.58015Coulhon, T.; Kerkyacharian, G.; Petrushev, P. 46 2012 Riesz transform and related inequalities on non-compact Riemannian manifolds. Zbl 1037.58017Coulhon, Thierry; Xuan Thinh Duong 45 2003 Characterization of sub-Gaussian heat kernel estimates on strongly recurrent graphs. Zbl 1083.60060Barlow, Martin T.; Coulhoun, Thierry; Kumagai, Takashi 38 2005 Riesz transform and \(L^p\)-cohomology for manifolds with Euclidean ends. Zbl 1106.58021Carron, Gilles; Coulhon, Thierry; Hassell, Andrew 37 2006 Riesz transform on manifolds and Poincaré inequalities. Zbl 1116.58023Auscher, P.; Coulhon, Thierry 35 2005 Harnack inequality and hyperbolicity for subelliptic \(p\)-Laplacians with applications to Picard type theorems. Zbl 1005.58013Coulhon, T.; Holopainen, I.; Saloff-Coste, L. 35 2001 Sobolev algebras on Lie groups and Riemannian manifolds. Zbl 0990.43003Coulhon, Thierry; Russ, Emmanuel; Tardivel-Nachef, Valérie 33 2001 On-diagonal lower bounds for heat kernels and Markov chains. Zbl 0920.58064Coulhon, Thierry; Grigor’yan, Alexander 33 1997 Manifolds and graphs with slow heat kernel decay. Zbl 1003.58025Barlow, Martin; Coulhon, Thierry; Grigor’yan, Alexander 31 2001 About Riesz transforms on the Heisenberg groups. Zbl 0859.22006Coulhon, Thierry; Müller, Detlef; Zienkiewicz, Jacek 30 1996 Puissances d’un opérateur régularisant. (Powers of a regularizing operator). Zbl 0709.47042Coulhon, Thierry; Saloff-Coste, Laurent 26 1990 Gaussian estimates and \(L^p\)-boundedness of Riesz means. Zbl 1328.35064Carron, Gilles; Coulhon, Thierry; Ouhabaz, El-Maati 25 2002 A geometric approach to on-diagonal heat kernel lower bounds on groups. Zbl 1137.58307Coulhon, Thierry; Grigor’yan, Alexander; Pittet, Christophe 23 2001 A new approach to pointwise heat kernel upper bounds on doubling metric measure spaces. Zbl 1304.35314Boutayeb, Salahaddine; Coulhon, Thierry; Sikora, Adam 22 2015 The discrete integral maximum principle and its applications. Zbl 1096.60023Coulhon, Thierry; Grigor’yan, Alexander; Zucca, Fabio 19 2005 Dimension at infinity of an analytic semigroup. (Dimension à l’infini d’un semi-groupe analytique.) Zbl 0738.47032Coulhon, Thierry 18 1990 Lipschitz spaces and Poincaré inequalities. (Espaces de Lipschitz et inégalités de Poincaré.) Zbl 0859.58009Coulhon, Thierry 18 1996 Random walks and geometry on infinite graphs. Zbl 1063.60063Coulhon, Thierry 16 2000 Riesz transform for \(1\leq p \leq 2\) without Gaussian heat kernel bound. Zbl 1371.58015Chen, Li; Coulhon, Thierry; Feneuil, Joseph; Russ, Emmanuel 15 2017 Littlewood-Paley-Stein functions on complete Riemannian manifolds for \(1\leq p\leq 2\). Zbl 1035.42014Coulhon, Thierry; Duong, Xuan Thinh; Li, Xiang Dong 15 2003 Heat kernel and isoperimetry on non-compact Riemannian manifolds. Zbl 1045.58016Coulhon, Thierry 15 2003 Large time behavior of heat kernels on forms. Zbl 1137.58013Coulhon, Thierry; Zhang, Qi S. 15 2007 Off-diagonal heat kernel lower bounds without Poincaré. Zbl 1083.58025Coulhon, Thierry 14 2003 Gaussian heat kernel bounds through elliptic Moser iteration. Zbl 1432.58018Bernicot, Frédéric; Coulhon, Thierry; Frey, Dorothee 14 2016 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 1076.58017Coulhon, Thierry; Li, Hong-Quan 13 2004 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 0826.53035Coulhon, Thierry; Ledoux, Michel 13 1994 Social choice theory in the case of von Neumann-Morgenstern utilities. Zbl 0678.90009Coulhon, T.; Mongin, P. 12 1989 Riesz transforms for \(p>2\). Zbl 0987.43001Coulhon, Thierry; Duong, Xuan Thinh 12 2001 Absence de principe du maximum pour certaines équations paraboliques complexes. Zbl 0960.35011Auscher, Pascal; Coulhon, Thierry; Tchamitchian, Philippe 12 1996 On isoperimetric profiles of product spaces. Zbl 1085.53027Coulhon, Thierry; Grigor’yan, Alexander; Levin, Daniel 12 2003 Riesz transform and perturbation. Zbl 1122.58014Coulhon, Thierry; Dungey, Nicholas 11 2007 Noyau de la chaleur et discrétisation d’une variété riemannienne. (Heat kernel and discretization of a Riemannian manifold). Zbl 0772.58055Coulhon, Thierry 11 1992 Riesz meets Sobolev. Zbl 1194.58027Coulhon, Thierry; Sikora, Adam 10 2010 Gaussian lower bounds for random walks from elliptic regularity. Zbl 0933.60047Auscher, Pascal; Coulhon, Thierry 9 1999 Gagliardo-Nirenberg inequalities for semigroups of operators and applications. (Inégalités de Gagliardo-Nirenberg pour les semi-groupes d’opérateurs et applications.) Zbl 0768.47018Coulhon, Thierry 9 1992 Ultracontractivity and embedding into \(L^\infty\). Zbl 1132.47031Bendikov, A.; Coulhon, T.; Saloff-Coste, L. 9 2007 Moser iteration and Gauss estimation of the heat kernel. (Itération de Moser et estimation gaussienne du noyau de la chaleur.) Zbl 0882.47014Coulhon, Thierry 9 1993 Lower bounds for one-dimensional Markov chains. (Minorations pour les chaînes de Markov unidimensionnelles.) Zbl 0792.60063Coulhon, Th.; Saloff-Coste, L. 7 1993 Marches aléatoires non symétriques sur les groupes unimodulaires. (Non-symmetric random walks on unimodular groups). Zbl 0748.60008Coulhon, Thierry; Saloff-Coste, Laurent 6 1990 Dimensions at infinity for Riemannian manifolds. Zbl 0847.53022Coulhon, Thierry 6 1995 Gradient estimates for heat kernels and harmonic functions. Zbl 1439.53041Coulhon, Thierry; Jiang, Renjin; Koskela, Pekka; Sikora, Adam 6 2020 Semigroups of operators and function spaces on Lie groups. (Semi-groupes d’opérateurs et espaces fonctionnels sur les groupes de Lie.) Zbl 0745.47030Coulhon, Thierry; Saloff-Coste, Laurent 4 1991 Analysis on infinite graphs with regular volume growth. Zbl 0960.58021Coulhon, Thierry 4 1999 Pointwise estimates for transition probabilities of random walks on infinite graphs. Zbl 1048.60081Coulhon, Thierry; Grigor’yan, Alexander 4 2003 Geometric interpretations of \(L^P\)-Poincaré inequalities on graphs with polynomial volume growth. Zbl 1225.46027Coulhon, Thierry; Koskela, Pekka 3 2004 Quelques remarques sur la régularité \(L^ p\) du semi-groupe de Stokes. (Some remarks on the \(L^ p\) regularity of the Stokes semigroup). Zbl 0783.35045Coulhon, Thierry; Lamberton, Damien 3 1992 Dimensions of continuous and discrete semigroups on the \(L^ p\)-spaces. Zbl 0744.47032Coulhon, Thierry 3 1991 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 3 2003 Heat kernels, volume growth and anti-isoperimetric inequalities. Zbl 0873.58062Coulhon, Thierry; Grigor’yan, Alexander 3 1996 Gaussian heat kernel estimates: from functions to forms. Zbl 1444.58009Coulhon, Thierry; Devyver, Baptiste; Sikora, Adam 3 2020 Heat kernel estimates, Sobolev-type inequalities and Riesz transform on noncompact Riemannian manifolds. Zbl 1273.58012Coulhon, Thierry 2 2013 Sobolev algebras through heat kernel estimates. (Algèbres de Sobolev via des estimations du noyau de la chaleur.) Zbl 1364.46029Bernicot, Frédéric; Coulhon, Thierry; Frey, Dorothee 2 2016 Heat kernels on non-compact Riemannian manifolds: a partial survey. Zbl 0903.58055Coulhon, Thierry 2 1997 Von Neumann spectra near the spectral gap. Zbl 0911.58034Carey, Alan L.; Coulhon, Thierry; Mathai, Varghese; Phillips, John 2 1998 Riesz transforms for bounded Laplacians on graphs. Zbl 1480.42024Chen, Li; Coulhon, Thierry; Hua, Bobo 2 2020 Subexponential ultracontractivity and \(L^p\)-\(L^q\) functional calculus. Zbl 1058.47036Coulhon, Thierry; Meda, Stefano 2 2003 Regularité L p pour les équations d’évolution. (L p regularity for evolution equations). Zbl 0641.47046Coulhon, Thierry; Lamberton, Damien 1 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 0659.46018Coulhon, 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 0563.46020Coulhon, Thierry 1 1984 Large time behaviour of heat kernels on Riemannian manifolds: Fast and slow decays. Zbl 1021.35014Coulhon, Thierry 1 1998 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 0697.43003Coulhon, Thierry; Saloff-Coste, Laurent 1 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 0706.47026Coulhon, Thierry; Saloff-Coste, Laurent 1 1988 Gradient estimates for heat kernels and harmonic functions. Zbl 1439.53041Coulhon, Thierry; Jiang, Renjin; Koskela, Pekka; Sikora, Adam 6 2020 Gaussian heat kernel estimates: from functions to forms. Zbl 1444.58009Coulhon, Thierry; Devyver, Baptiste; Sikora, Adam 3 2020 Riesz transforms for bounded Laplacians on graphs. Zbl 1480.42024Chen, Li; Coulhon, Thierry; Hua, Bobo 2 2020 Riesz transform for \(1\leq p \leq 2\) without Gaussian heat kernel bound. Zbl 1371.58015Chen, Li; Coulhon, Thierry; Feneuil, Joseph; Russ, Emmanuel 15 2017 Gaussian heat kernel bounds through elliptic Moser iteration. Zbl 1432.58018Bernicot, Frédéric; Coulhon, Thierry; Frey, Dorothee 14 2016 Sobolev algebras through heat kernel estimates. (Algèbres de Sobolev via des estimations du noyau de la chaleur.) Zbl 1364.46029Bernicot, Frédéric; Coulhon, Thierry; Frey, Dorothee 2 2016 A new approach to pointwise heat kernel upper bounds on doubling metric measure spaces. Zbl 1304.35314Boutayeb, Salahaddine; Coulhon, Thierry; Sikora, Adam 22 2015 Heat kernel estimates, Sobolev-type inequalities and Riesz transform on noncompact Riemannian manifolds. Zbl 1273.58012Coulhon, Thierry 2 2013 Heat kernel generated frames in the setting of Dirichlet spaces. Zbl 1270.58015Coulhon, T.; Kerkyacharian, G.; Petrushev, P. 46 2012 Riesz meets Sobolev. Zbl 1194.58027Coulhon, Thierry; Sikora, Adam 10 2010 Gaussian heat kernel upper bounds via the Phragmén-Lindelöf theorem. Zbl 1148.35009Coulhon, Thierry; Sikora, Adam 95 2008 Analysis and geometry on groups. Paperback reprint of the 1992 original. Zbl 1179.22009Varopoulos, N. Th.; Saloff-Coste, L.; Coulhon, T. 49 2008 Large time behavior of heat kernels on forms. Zbl 1137.58013Coulhon, Thierry; Zhang, Qi S. 15 2007 Riesz transform and perturbation. Zbl 1122.58014Coulhon, Thierry; Dungey, Nicholas 11 2007 Ultracontractivity and embedding into \(L^\infty\). Zbl 1132.47031Bendikov, A.; Coulhon, T.; Saloff-Coste, L. 9 2007 Riesz transform and \(L^p\)-cohomology for manifolds with Euclidean ends. Zbl 1106.58021Carron, Gilles; Coulhon, Thierry; Hassell, Andrew 37 2006 Characterization of sub-Gaussian heat kernel estimates on strongly recurrent graphs. Zbl 1083.60060Barlow, Martin T.; Coulhoun, Thierry; Kumagai, Takashi 38 2005 Riesz transform on manifolds and Poincaré inequalities. Zbl 1116.58023Auscher, P.; Coulhon, Thierry 35 2005 The discrete integral maximum principle and its applications. Zbl 1096.60023Coulhon, Thierry; Grigor’yan, Alexander; Zucca, Fabio 19 2005 Riesz transform on manifolds and heat kernel regularity. Zbl 1086.58013Auscher, Pascal; Coulhon, Thierry; Duong, Xuan Thinh; Hofmann, Steve 118 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 1076.58017Coulhon, Thierry; Li, Hong-Quan 13 2004 Geometric interpretations of \(L^P\)-Poincaré inequalities on graphs with polynomial volume growth. Zbl 1225.46027Coulhon, Thierry; Koskela, Pekka 3 2004 Riesz transform and related inequalities on non-compact Riemannian manifolds. Zbl 1037.58017Coulhon, Thierry; Xuan Thinh Duong 45 2003 Littlewood-Paley-Stein functions on complete Riemannian manifolds for \(1\leq p\leq 2\). Zbl 1035.42014Coulhon, Thierry; Duong, Xuan Thinh; Li, Xiang Dong 15 2003 Heat kernel and isoperimetry on non-compact Riemannian manifolds. Zbl 1045.58016Coulhon, Thierry 15 2003 Off-diagonal heat kernel lower bounds without Poincaré. Zbl 1083.58025Coulhon, Thierry 14 2003 On isoperimetric profiles of product spaces. Zbl 1085.53027Coulhon, Thierry; Grigor’yan, Alexander; Levin, Daniel 12 2003 Pointwise estimates for transition probabilities of random walks on infinite graphs. Zbl 1048.60081Coulhon, Thierry; Grigor’yan, Alexander 4 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 3 2003 Subexponential ultracontractivity and \(L^p\)-\(L^q\) functional calculus. Zbl 1058.47036Coulhon, Thierry; Meda, Stefano 2 2003 Gaussian estimates and \(L^p\)-boundedness of Riesz means. Zbl 1328.35064Carron, Gilles; Coulhon, Thierry; Ouhabaz, El-Maati 25 2002 Harnack inequality and hyperbolicity for subelliptic \(p\)-Laplacians with applications to Picard type theorems. Zbl 1005.58013Coulhon, T.; Holopainen, I.; Saloff-Coste, L. 35 2001 Sobolev algebras on Lie groups and Riemannian manifolds. Zbl 0990.43003Coulhon, Thierry; Russ, Emmanuel; Tardivel-Nachef, Valérie 33 2001 Manifolds and graphs with slow heat kernel decay. Zbl 1003.58025Barlow, Martin; Coulhon, Thierry; Grigor’yan, Alexander 31 2001 A geometric approach to on-diagonal heat kernel lower bounds on groups. Zbl 1137.58307Coulhon, Thierry; Grigor’yan, Alexander; Pittet, Christophe 23 2001 Riesz transforms for \(p>2\). Zbl 0987.43001Coulhon, Thierry; Duong, Xuan Thinh 12 2001 Maximal regularity and kernel bounds: observations on a theorem by Hieber and Prüss. Zbl 1001.34046Coulhon, Thierry; Duong, Xuan Thinh 51 2000 Random walks and geometry on infinite graphs. Zbl 1063.60063Coulhon, Thierry 16 2000 Riesz transforms for \(1\leq p\leq 2\). Zbl 0973.58018Coulhon, Thierry; Duong, Xuan Thinh 110 1999 Gaussian lower bounds for random walks from elliptic regularity. Zbl 0933.60047Auscher, Pascal; Coulhon, Thierry 9 1999 Analysis on infinite graphs with regular volume growth. Zbl 0960.58021Coulhon, Thierry 4 1999 Random walks on graphs with regular volume growth. Zbl 0918.60053Coulhon, T.; Grigoryan, A. 46 1998 Von Neumann spectra near the spectral gap. Zbl 0911.58034Carey, Alan L.; Coulhon, Thierry; Mathai, Varghese; Phillips, John 2 1998 Large time behaviour of heat kernels on Riemannian manifolds: Fast and slow decays. Zbl 1021.35014Coulhon, Thierry 1 1998 On-diagonal lower bounds for heat kernels and Markov chains. Zbl 0920.58064Coulhon, Thierry; Grigor’yan, Alexander 33 1997 Heat kernels on non-compact Riemannian manifolds: a partial survey. Zbl 0903.58055Coulhon, Thierry 2 1997 Ultracontractivity and Nash type inequalities. Zbl 0887.58009Coulhon, Thierry 73 1996 About Riesz transforms on the Heisenberg groups. Zbl 0859.22006Coulhon, Thierry; Müller, Detlef; Zienkiewicz, Jacek 30 1996 Lipschitz spaces and Poincaré inequalities. (Espaces de Lipschitz et inégalités de Poincaré.) Zbl 0859.58009Coulhon, Thierry 18 1996 Absence de principe du maximum pour certaines équations paraboliques complexes. Zbl 0960.35011Auscher, Pascal; Coulhon, Thierry; Tchamitchian, Philippe 12 1996 Heat kernels, volume growth and anti-isoperimetric inequalities. Zbl 0873.58062Coulhon, Thierry; Grigor’yan, Alexander 3 1996 Sobolev inequalities in disguise. Zbl 0857.26006Bakry, D.; Coulhon, T.; Ledoux, M.; Saloff-Coste, L. 101 1995 Isometric Riemannian manifolds at infinity. (Variétés riemanniennes isométriques à l’infini.) Zbl 0845.58054Coulhon, Thierry; Saloff-Coste, Laurent 49 1995 Dimensions at infinity for Riemannian manifolds. Zbl 0847.53022Coulhon, Thierry 6 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 0826.53035Coulhon, Thierry; Ledoux, Michel 13 1994 Isoperimetricity for groups and manifolds. (Isopérimétrie pour les groupes et les variétés.) Zbl 0782.53066Coulhon, Thierry; Saloff-Coste, Laurent 63 1993 Moser iteration and Gauss estimation of the heat kernel. (Itération de Moser et estimation gaussienne du noyau de la chaleur.) Zbl 0882.47014Coulhon, Thierry 9 1993 Lower bounds for one-dimensional Markov chains. (Minorations pour les chaînes de Markov unidimensionnelles.) Zbl 0792.60063Coulhon, Th.; Saloff-Coste, L. 7 1993 Analysis on Lie groups. Zbl 0813.22003Varopoulos, N. Th.; Saloff-Coste, L.; Coulhon, T. 329 1992 Noyau de la chaleur et discrétisation d’une variété riemannienne. (Heat kernel and discretization of a Riemannian manifold). Zbl 0772.58055Coulhon, Thierry 11 1992 Gagliardo-Nirenberg inequalities for semigroups of operators and applications. (Inégalités de Gagliardo-Nirenberg pour les semi-groupes d’opérateurs et applications.) Zbl 0768.47018Coulhon, Thierry 9 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 0783.35045Coulhon, Thierry; Lamberton, Damien 3 1992 Semigroups of operators and function spaces on Lie groups. (Semi-groupes d’opérateurs et espaces fonctionnels sur les groupes de Lie.) Zbl 0745.47030Coulhon, Thierry; Saloff-Coste, Laurent 4 1991 Dimensions of continuous and discrete semigroups on the \(L^ p\)-spaces. Zbl 0744.47032Coulhon, Thierry 3 1991 Puissances d’un opérateur régularisant. (Powers of a regularizing operator). Zbl 0709.47042Coulhon, Thierry; Saloff-Coste, Laurent 26 1990 Dimension at infinity of an analytic semigroup. (Dimension à l’infini d’un semi-groupe analytique.) Zbl 0738.47032Coulhon, Thierry 18 1990 Marches aléatoires non symétriques sur les groupes unimodulaires. (Non-symmetric random walks on unimodular groups). Zbl 0748.60008Coulhon, Thierry; Saloff-Coste, Laurent 6 1990 Social choice theory in the case of von Neumann-Morgenstern utilities. Zbl 0678.90009Coulhon, 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 0697.43003Coulhon, Thierry; Saloff-Coste, Laurent 1 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 0706.47026Coulhon, Thierry; Saloff-Coste, Laurent 1 1988 Regularité L p pour les équations d’évolution. (L p regularity for evolution equations). Zbl 0641.47046Coulhon, Thierry; Lamberton, Damien 1 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 0659.46018Coulhon, 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 0563.46020Coulhon, Thierry 1 1984 all cited Publications top 5 cited Publications all top 5 Cited by 1,051 Authors 42 Saloff-Coste, Laurent 37 Duong, Xuan Thinh 33 Yan, Lixin 27 Coulhon, Thierry 26 Grigor’yan, Alexander Asaturovich 23 The Anh Bui 23 Yang, Dachun 18 Ouhabaz, El Maati 17 Li, Hongquan 16 Auscher, Pascal 16 Li, Ji 16 Sikora, Adam S. 15 Barlow, Martin T. 15 Kumagai, Takashi 14 Baudoin, Fabrice 14 Bernicot, Frédéric 14 Chen, Peng 13 Bendikov, Alexander D. 13 Franchi, Bruno 12 Hua, Bobo 12 Song, Liang 12 Vallarino, Maria 12 Wang, Feng-Yu 11 Sjogren, Peter 10 Frey, Dorothee 10 Meda, Stefano 10 Zheng, Tianyi 9 Badr, Nadine 9 Bonfiglioli, Andrea 9 Georgiadis, Athanasios G. 9 Hu, Jiaxin 9 Kerkyacharian, Gérard 9 Martini, Alessio 9 Mustapha, Sami 9 Petrushev, Pencho P. 9 Pittet, Christophe 9 ter Elst, Antonius Frederik Maria 9 Wang, Jian 8 Carron, Gilles 8 Ceccon, Jurandir 8 Garofalo, Nicola 8 Grillo, Gabriele 8 Lanconelli, Ermanno 8 Robinson, Derek W. 8 Russ, Emmanuel 8 Zhao, Jiman 7 Cowling, Michael G. 7 Driver, Bruce K. 7 Jiang, Renjin 7 Martell, José María (Chema) 7 Müller, Detlef 7 Pankka, Pekka 7 Peloso, Marco Maria 7 Shanmugalingam, Nageswari 7 Telcs, András 7 Uguzzoni, Francesco 7 Zhou, Yuan 6 Blunck, Sönke 6 Eldredge, Nathaniel Gilbert Bartsch 6 Erschler, Anna 6 Hassell, Andrew 6 Hofmann, Steve 6 Li, Xiang-Dong 6 Lohoué, Noël 6 Maheux, Patrick 6 Murugan, Mathav Kishore 6 Wu, Qingyan 6 Zegarlinski, Boguslaw 5 Andres, Sebastian 5 Bonnefont, Michel 5 Bruno, Tommaso 5 Croydon, David A. 5 Deng, Qingquan 5 Devyver, Baptiste 5 Ding, Yong 5 Dungey, Nick 5 Dziubański, Jacek 5 Feneuil, Joseph 5 Gong, Ruming 5 Holopainen, Ilkka 5 Jost, Jürgen 5 Koskela, Pekka 5 Kunstmann, Peer Christian 5 Lee, Yong Hah 5 Lin, Yong 5 Liu, Liguang 5 Lu, Guozhen 5 Mauceri, Giancarlo 5 McIntosh, Alan 5 Milman, Mario Marcos 5 Mitrea, Marius 5 Nowak, Adam 5 Pigola, Stefano 5 Polidoro, Sergio 5 Rehberg, Joachim 5 Serapioni, Raul Paolo 5 Szarek, Tomasz Zachary 5 Teplyaev, Alexander 5 Xiao, Jie 5 Zhang, Junyong ...and 951 more Authors all top 5 Cited in 215 Serials 114 Journal of Functional Analysis 50 The Journal of Geometric Analysis 50 Potential Analysis 46 Transactions of the American Mathematical Society 38 Journal of Mathematical Analysis and Applications 35 Mathematische Zeitschrift 32 Mathematische Annalen 32 Revista Matemática Iberoamericana 30 Advances in Mathematics 29 Annales de l’Institut Fourier 22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 22 Probability Theory and Related Fields 21 Proceedings of the American Mathematical Society 20 Journal of Differential Equations 19 The Annals of Probability 19 Journal de Mathématiques Pures et Appliquées. Neuvième Série 16 Duke Mathematical Journal 16 The Journal of Fourier Analysis and Applications 13 Journal d’Analyse Mathématique 13 Bulletin des Sciences Mathématiques 12 Journal of the Mathematical Society of Japan 11 Manuscripta Mathematica 10 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Communications in Mathematical Physics 9 Stochastic Processes and their Applications 9 Calculus of Variations and Partial Differential Equations 9 Acta Mathematica Sinica. English Series 8 Journal of Theoretical Probability 8 Journal of Mathematical Sciences (New York) 8 Frontiers of Mathematics in China 7 Mathematische Nachrichten 7 Memoirs of the American Mathematical Society 7 Journal of the Australian Mathematical Society 7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 6 Journal of Statistical Physics 6 Journal für die Reine und Angewandte Mathematik 6 Semigroup Forum 6 Tohoku Mathematical Journal. Second Series 6 Annals of Global Analysis and Geometry 6 Forum Mathematicum 6 Geometric and Functional Analysis. GAFA 6 Communications in Partial Differential Equations 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 6 Annales Mathématiques Blaise Pascal 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Israel Journal of Mathematics 5 Journal of Mathematical Physics 5 Studia Mathematica 5 Arkiv för Matematik 5 Journal of Approximation Theory 5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 5 Journal of Evolution Equations 5 Science China. Mathematics 5 Analysis and Geometry in Metric Spaces 4 Bulletin of the Australian Mathematical Society 4 Inventiones Mathematicae 4 Journal of Mathematical Economics 4 Monatshefte für Mathematik 4 Applied and Computational Harmonic Analysis 4 Journal of Inequalities and Applications 4 Revista Matemática Complutense 4 Communications in Contemporary Mathematics 4 Communications on Pure and Applied Analysis 4 Groups, Geometry, and Dynamics 3 Archive for Rational Mechanics and Analysis 3 Communications on Pure and Applied Mathematics 3 Archiv der Mathematik 3 Collectanea Mathematica 3 Integral Equations and Operator Theory 3 Acta Applicandae Mathematicae 3 Constructive Approximation 3 NoDEA. Nonlinear Differential Equations and Applications 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Vietnam Journal of Mathematics 3 Annals of Mathematics. Second Series 3 Complex Analysis and Operator Theory 2 Discrete Applied Mathematics 2 Discrete Mathematics 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Acta Mathematica 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Bulletin de la Société Mathématique de France 2 Compositio Mathematica 2 Geometriae Dedicata 2 Journal of Graph Theory 2 Mathematika 2 Michigan Mathematical Journal 2 Nagoya Mathematical Journal 2 Osaka Journal of Mathematics 2 Results in Mathematics 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal of the American Mathematical Society 2 Publicacions Matemàtiques 2 Journal of the Ramanujan Mathematical Society 2 Science in China. Series A 2 Economics Letters 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Bulletin of the American Mathematical Society. New Series 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences ...and 115 more Serials all top 5 Cited in 53 Fields 379 Partial differential equations (35-XX) 298 Harmonic analysis on Euclidean spaces (42-XX) 271 Global analysis, analysis on manifolds (58-XX) 251 Probability theory and stochastic processes (60-XX) 243 Operator theory (47-XX) 185 Functional analysis (46-XX) 170 Abstract harmonic analysis (43-XX) 139 Topological groups, Lie groups (22-XX) 124 Differential geometry (53-XX) 86 Potential theory (31-XX) 62 Real functions (26-XX) 57 Combinatorics (05-XX) 42 Group theory and generalizations (20-XX) 42 Measure and integration (28-XX) 40 Functions of a complex variable (30-XX) 30 Statistical mechanics, structure of matter (82-XX) 29 Calculus of variations and optimal control; optimization (49-XX) 17 Difference and functional equations (39-XX) 15 Dynamical systems and ergodic theory (37-XX) 15 Numerical analysis (65-XX) 15 Quantum theory (81-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Ordinary differential equations (34-XX) 10 Several complex variables and analytic spaces (32-XX) 9 Convex and discrete geometry (52-XX) 9 Manifolds and cell complexes (57-XX) 9 Statistics (62-XX) 9 Fluid mechanics (76-XX) 8 Approximations and expansions (41-XX) 8 Geometry (51-XX) 7 Special functions (33-XX) 7 Information and communication theory, circuits (94-XX) 6 Biology and other natural sciences (92-XX) 5 Integral transforms, operational calculus (44-XX) 5 Computer science (68-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Integral equations (45-XX) 3 General and overarching topics; collections (00-XX) 3 Algebraic geometry (14-XX) 3 Associative rings and algebras (16-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Relativity and gravitational theory (83-XX) 2 Nonassociative rings and algebras (17-XX) 2 Algebraic topology (55-XX) 2 Mechanics of deformable solids (74-XX) 2 Geophysics (86-XX) 2 Systems theory; control (93-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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