Edit Profile Coulhon, Thierry Compute Distance To: Compute Author ID: coulhon.thierry Published as: Coulhon, T.; Coulhon, Th.; Coulhon, Thierry; Coulhoun, Thierry Homepage: http://maths-people.anu.edu.au/~coulhont/ External Links: MGP · Wikidata · ORCID · GND Documents Indexed: 83 Publications since 1984, including 4 Books 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 Chen, Li 1 Chen, Li 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) 26 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 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 1,780 times in 1,055 Documents Cited by ▼ Year ▼ Analysis on Lie groups. Zbl 0813.22003Varopoulos, N. Th.; Saloff-Coste, L.; Coulhon, T. 318 1992 Riesz transform on manifolds and heat kernel regularity. Zbl 1086.58013Auscher, Pascal; Coulhon, Thierry; Duong, Xuan Thinh; Hofmann, Steve 111 2004 Riesz transforms for \(1\leq p\leq 2\). Zbl 0973.58018Coulhon, Thierry; Duong, Xuan Thinh 99 1999 Sobolev inequalities in disguise. Zbl 0857.26006Bakry, D.; Coulhon, T.; Ledoux, M.; Saloff-Coste, L. 96 1995 Gaussian heat kernel upper bounds via the Phragmén-Lindelöf theorem. Zbl 1148.35009Coulhon, Thierry; Sikora, Adam 83 2008 Ultracontractivity and Nash type inequalities. Zbl 0887.58009Coulhon, Thierry 66 1996 Isoperimetricity for groups and manifolds. Zbl 0782.53066Coulhon, Thierry; Saloff-Coste, Laurent 58 1993 Analysis and geometry on groups. Paperback reprint of the 1992 original. Zbl 1179.22009Varopoulos, N. Th.; Saloff-Coste, L.; Coulhon, T. 48 2008 Maximal regularity and kernel bounds: observations on a theorem by Hieber and Prüss. Zbl 1001.34046Coulhon, Thierry; Duong, Xuan Thinh 47 2000 Isometric Riemannian manifolds at infinity. Zbl 0845.58054Coulhon, Thierry; Saloff-Coste, Laurent 47 1995 Random walks on graphs with regular volume growth. Zbl 0918.60053Coulhon, T.; Grigoryan, A. 44 1998 Heat kernel generated frames in the setting of Dirichlet spaces. Zbl 1270.58015Coulhon, T.; Kerkyacharian, G.; Petrushev, P. 39 2012 Riesz transform and related inequalities on non-compact Riemannian manifolds. Zbl 1037.58017Coulhon, Thierry; Xuan Thinh Duong 37 2003 Riesz transform on manifolds and Poincaré inequalities. Zbl 1116.58023Auscher, P.; Coulhon, Thierry 34 2005 Characterization of sub-Gaussian heat kernel estimates on strongly recurrent graphs. Zbl 1083.60060Barlow, Martin T.; Coulhoun, Thierry; Kumagai, Takashi 34 2005 Riesz transform and \(L^p\)-cohomology for manifolds with Euclidean ends. Zbl 1106.58021Carron, Gilles; Coulhon, Thierry; Hassell, Andrew 32 2006 Harnack inequality and hyperbolicity for subelliptic \(p\)-Laplacians with applications to Picard type theorems. Zbl 1005.58013Coulhon, T.; Holopainen, I.; Saloff-Coste, L. 32 2001 On-diagonal lower bounds for heat kernels and Markov chains. Zbl 0920.58064Coulhon, Thierry; Grigor’yan, Alexander 32 1997 Manifolds and graphs with slow heat kernel decay. Zbl 1003.58025Barlow, Martin; Coulhon, Thierry; Grigor’yan, Alexander 28 2001 About Riesz transforms on the Heisenberg groups. Zbl 0859.22006Coulhon, Thierry; Müller, Detlef; Zienkiewicz, Jacek 28 1996 Sobolev algebras on Lie groups and Riemannian manifolds. Zbl 0990.43003Coulhon, Thierry; Russ, Emmanuel; Tardivel-Nachef, Valérie 26 2001 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 21 2002 A geometric approach to on-diagonal heat kernel lower bounds on groups. Zbl 1137.58307Coulhon, Thierry; Grigor’yan, Alexander; Pittet, Christophe 21 2001 A new approach to pointwise heat kernel upper bounds on doubling metric measure spaces. Zbl 1304.35314Boutayeb, Salahaddine; Coulhon, Thierry; Sikora, Adam 20 2015 The discrete integral maximum principle and its applications. Zbl 1096.60023Coulhon, Thierry; Grigor’yan, Alexander; Zucca, Fabio 19 2005 Lipschitz spaces and Poincaré inequalities. Zbl 0859.58009Coulhon, Thierry 18 1996 Dimension at infinity of an analytic semigroup. Zbl 0738.47032Coulhon, Thierry 18 1990 Random walks and geometry on infinite graphs. Zbl 1063.60063Coulhon, Thierry 17 2000 Heat kernel and isoperimetry on non-compact Riemannian manifolds. Zbl 1045.58016Coulhon, Thierry 15 2003 Gaussian heat kernel bounds through elliptic Moser iteration. Zbl 1432.58018Bernicot, Frédéric; Coulhon, Thierry; Frey, Dorothee 13 2016 Large time behavior of heat kernels on forms. Zbl 1137.58013Coulhon, Thierry; Zhang, Qi S. 13 2007 Littlewood-Paley-Stein functions on complete Riemannian manifolds for \(1\leq p\leq 2\). Zbl 1035.42014Coulhon, Thierry; Duong, Xuan Thinh; Li, Xiang Dong 13 2003 Isoperimetry, decrease of the heat kernel and Riesz transformations: A counterexample. Zbl 0826.53035Coulhon, Thierry; Ledoux, Michel 13 1994 On isoperimetric profiles of product spaces. Zbl 1085.53027Coulhon, Thierry; Grigor’yan, Alexander; Levin, Daniel 12 2003 Off-diagonal heat kernel lower bounds without Poincaré. Zbl 1083.58025Coulhon, Thierry 12 2003 Riesz transform for \(1\leq p \leq 2\) without Gaussian heat kernel bound. Zbl 1371.58015Chen, Li; Coulhon, Thierry; Feneuil, Joseph; Russ, Emmanuel 11 2017 Riesz transform and perturbation. Zbl 1122.58014Coulhon, Thierry; Dungey, Nicholas 11 2007 Lower estimates of the heat kernel on conic manifolds and Riesz transform. Zbl 1076.58017Coulhon, Thierry; Li, Hong-Quan 11 2004 Riesz transforms for \(p>2\). Zbl 0987.43001Coulhon, Thierry; Duong, Xuan Thinh 11 2001 Absence de principe du maximum pour certaines équations paraboliques complexes. Zbl 0960.35011Auscher, Pascal; Coulhon, Thierry; Tchamitchian, Philippe 11 1996 Noyau de la chaleur et discrétisation d’une variété riemannienne. (Heat kernel and discretization of a Riemannian manifold). Zbl 0772.58055Coulhon, Thierry 11 1992 Social choice theory in the case of von Neumann-Morgenstern utilities. Zbl 0678.90009Coulhon, T.; Mongin, P. 10 1989 Riesz meets Sobolev. Zbl 1194.58027Coulhon, Thierry; Sikora, Adam 9 2010 Ultracontractivity and embedding into \(L^\infty\). Zbl 1132.47031Bendikov, A.; Coulhon, T.; Saloff-Coste, L. 9 2007 Gaussian lower bounds for random walks from elliptic regularity. Zbl 0933.60047Auscher, Pascal; Coulhon, Thierry 9 1999 Moser iteration and Gauss estimation of the heat kernel. Zbl 0882.47014Coulhon, Thierry 9 1993 Gagliardo-Nirenberg inequalities for semigroups of operators and applications. Zbl 0768.47018Coulhon, Thierry 9 1992 Lower bounds for one-dimensional Markov chains. Zbl 0792.60063Coulhon, Th.; Saloff-Coste, L. 7 1993 Dimensions at infinity for Riemannian manifolds. Zbl 0847.53022Coulhon, Thierry 6 1995 Marches aléatoires non symétriques sur les groupes unimodulaires. (Non-symmetric random walks on unimodular groups). Zbl 0748.60008Coulhon, Thierry; Saloff-Coste, Laurent 6 1990 Pointwise estimates for transition probabilities of random walks on infinite graphs. Zbl 1048.60081Coulhon, Thierry; Grigor’yan, Alexander 4 2003 Analysis on infinite graphs with regular volume growth. Zbl 0960.58021Coulhon, Thierry 4 1999 Semigroups of operators and function spaces on Lie groups. Zbl 0745.47030Coulhon, Thierry; Saloff-Coste, Laurent 4 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 1029.00030Auscher, Pascal (ed.); Coulhon, Thierry (ed.); Grigor’yan, Alexander (ed.) 3 2003 Heat kernels, volume growth and anti-isoperimetric inequalities. Zbl 0873.58062Coulhon, Thierry; Grigor’yan, Alexander 3 1996 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 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 3 1989 Gaussian heat kernel estimates: from functions to forms. Zbl 1444.58009Coulhon, Thierry; Devyver, Baptiste; Sikora, Adam 2 2020 Gradient estimates for heat kernels and harmonic functions. Zbl 1439.53041Coulhon, Thierry; Jiang, Renjin; Koskela, Pekka; Sikora, Adam 2 2020 Sobolev algebras through heat kernel estimates. Zbl 1364.46029Bernicot, Frédéric; Coulhon, Thierry; Frey, Dorothee 2 2016 Heat kernel estimates, Sobolev-type inequalities and Riesz transform on noncompact Riemannian manifolds. Zbl 1273.58012Coulhon, Thierry 2 2013 Geometric interpretations of \(L^P\)-Poincaré inequalities on graphs with polynomial volume growth. Zbl 1225.46027Coulhon, Thierry; Koskela, Pekka 2 2004 Subexponential ultracontractivity and \(L^p\)-\(L^q\) functional calculus. Zbl 1058.47036Coulhon, Thierry; Meda, Stefano 2 2003 Von Neumann spectra near the spectral gap. Zbl 0911.58034Carey, Alan L.; Coulhon, Thierry; Mathai, Varghese; Phillips, John 2 1998 Heat kernels on non-compact Riemannian manifolds: a partial survey. Zbl 0903.58055Coulhon, Thierry 2 1997 Regularité L p pour les équations d’évolution. (L p regularity for evolution equations). Zbl 0641.47046Coulhon, Thierry; Lamberton, Damien 2 1985 Riesz transforms for bounded Laplacians on graphs. Zbl 07152512Chen, Li; Coulhon, Thierry; Hua, Bobo 1 2020 Erratum to: “Harnack inequality and hyperbolicity for subelliptic \(p\)-Laplacians with applications to Picard type theorems”, in GAFA 11, No. 6, 1139–1191 (2001). Zbl 1012.35015Coulhon, T.; Holopainen, I.; Saloff-Coste, L. 1 2002 Large time behaviour of heat kernels on Riemannian manifolds: Fast and slow decays. Zbl 1021.35014Coulhon, Thierry 1 1998 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 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 Gaussian heat kernel estimates: from functions to forms. Zbl 1444.58009Coulhon, Thierry; Devyver, Baptiste; Sikora, Adam 2 2020 Gradient estimates for heat kernels and harmonic functions. Zbl 1439.53041Coulhon, Thierry; Jiang, Renjin; Koskela, Pekka; Sikora, Adam 2 2020 Riesz transforms for bounded Laplacians on graphs. Zbl 07152512Chen, Li; Coulhon, Thierry; Hua, Bobo 1 2020 Riesz transform for \(1\leq p \leq 2\) without Gaussian heat kernel bound. Zbl 1371.58015Chen, Li; Coulhon, Thierry; Feneuil, Joseph; Russ, Emmanuel 11 2017 Gaussian heat kernel bounds through elliptic Moser iteration. Zbl 1432.58018Bernicot, Frédéric; Coulhon, Thierry; Frey, Dorothee 13 2016 Sobolev algebras through heat kernel estimates. 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 20 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. 39 2012 Riesz meets Sobolev. Zbl 1194.58027Coulhon, Thierry; Sikora, Adam 9 2010 Gaussian heat kernel upper bounds via the Phragmén-Lindelöf theorem. Zbl 1148.35009Coulhon, Thierry; Sikora, Adam 83 2008 Analysis and geometry on groups. Paperback reprint of the 1992 original. Zbl 1179.22009Varopoulos, N. Th.; Saloff-Coste, L.; Coulhon, T. 48 2008 Large time behavior of heat kernels on forms. Zbl 1137.58013Coulhon, Thierry; Zhang, Qi S. 13 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 32 2006 Riesz transform on manifolds and Poincaré inequalities. Zbl 1116.58023Auscher, P.; Coulhon, Thierry 34 2005 Characterization of sub-Gaussian heat kernel estimates on strongly recurrent graphs. Zbl 1083.60060Barlow, Martin T.; Coulhoun, Thierry; Kumagai, Takashi 34 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 111 2004 Lower estimates of the heat kernel on conic manifolds and Riesz transform. Zbl 1076.58017Coulhon, Thierry; Li, Hong-Quan 11 2004 Geometric interpretations of \(L^P\)-Poincaré inequalities on graphs with polynomial volume growth. Zbl 1225.46027Coulhon, Thierry; Koskela, Pekka 2 2004 Riesz transform and related inequalities on non-compact Riemannian manifolds. Zbl 1037.58017Coulhon, Thierry; Xuan Thinh Duong 37 2003 Heat kernel and isoperimetry on non-compact Riemannian manifolds. Zbl 1045.58016Coulhon, Thierry 15 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 13 2003 On isoperimetric profiles of product spaces. Zbl 1085.53027Coulhon, Thierry; Grigor’yan, Alexander; Levin, Daniel 12 2003 Off-diagonal heat kernel lower bounds without Poincaré. Zbl 1083.58025Coulhon, Thierry 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 1029.00030Auscher, Pascal (ed.); Coulhon, Thierry (ed.); Grigor’yan, Alexander (ed.) 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 21 2002 Erratum to: “Harnack inequality and hyperbolicity for subelliptic \(p\)-Laplacians with applications to Picard type theorems”, in GAFA 11, No. 6, 1139–1191 (2001). Zbl 1012.35015Coulhon, T.; Holopainen, I.; Saloff-Coste, L. 1 2002 Harnack inequality and hyperbolicity for subelliptic \(p\)-Laplacians with applications to Picard type theorems. Zbl 1005.58013Coulhon, T.; Holopainen, I.; Saloff-Coste, L. 32 2001 Manifolds and graphs with slow heat kernel decay. Zbl 1003.58025Barlow, Martin; Coulhon, Thierry; Grigor’yan, Alexander 28 2001 Sobolev algebras on Lie groups and Riemannian manifolds. Zbl 0990.43003Coulhon, Thierry; Russ, Emmanuel; Tardivel-Nachef, Valérie 26 2001 A geometric approach to on-diagonal heat kernel lower bounds on groups. Zbl 1137.58307Coulhon, Thierry; Grigor’yan, Alexander; Pittet, Christophe 21 2001 Riesz transforms for \(p>2\). Zbl 0987.43001Coulhon, Thierry; Duong, Xuan Thinh 11 2001 Maximal regularity and kernel bounds: observations on a theorem by Hieber and Prüss. Zbl 1001.34046Coulhon, Thierry; Duong, Xuan Thinh 47 2000 Random walks and geometry on infinite graphs. Zbl 1063.60063Coulhon, Thierry 17 2000 Riesz transforms for \(1\leq p\leq 2\). Zbl 0973.58018Coulhon, Thierry; Duong, Xuan Thinh 99 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. 44 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 32 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 66 1996 About Riesz transforms on the Heisenberg groups. Zbl 0859.22006Coulhon, Thierry; Müller, Detlef; Zienkiewicz, Jacek 28 1996 Lipschitz spaces and Poincaré inequalities. Zbl 0859.58009Coulhon, Thierry 18 1996 Absence de principe du maximum pour certaines équations paraboliques complexes. Zbl 0960.35011Auscher, Pascal; Coulhon, Thierry; Tchamitchian, Philippe 11 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. 96 1995 Isometric Riemannian manifolds at infinity. Zbl 0845.58054Coulhon, Thierry; Saloff-Coste, Laurent 47 1995 Dimensions at infinity for Riemannian manifolds. Zbl 0847.53022Coulhon, Thierry 6 1995 Isoperimetry, decrease of the heat kernel and Riesz transformations: A counterexample. Zbl 0826.53035Coulhon, Thierry; Ledoux, Michel 13 1994 Isoperimetricity for groups and manifolds. Zbl 0782.53066Coulhon, Thierry; Saloff-Coste, Laurent 58 1993 Moser iteration and Gauss estimation of the heat kernel. Zbl 0882.47014Coulhon, Thierry 9 1993 Lower bounds for one-dimensional Markov chains. Zbl 0792.60063Coulhon, Th.; Saloff-Coste, L. 7 1993 Analysis on Lie groups. Zbl 0813.22003Varopoulos, N. Th.; Saloff-Coste, L.; Coulhon, T. 318 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. 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. 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. 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. 10 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 3 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 2 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 all cited Publications top 5 cited Publications all top 5 Cited by 965 Authors 40 Saloff-Coste, Laurent 32 Duong, Xuan Thinh 30 Yan, Lixin 27 Coulhon, Thierry 25 Grigor’yan, Alexander Asaturovich 23 Yang, Dachun 17 Ouhabaz, El Maati 16 Auscher, Pascal 16 Bui, The Anh 16 Sikora, Adam S. 15 Barlow, Martin T. 15 Bernicot, Frédéric 15 Li, Hongquan 14 Kumagai, Takashi 12 Bendikov, Alexander D. 12 Franchi, Bruno 12 Li, Ji 12 Song, Liang 12 Wang, Feng-Yu 11 Baudoin, Fabrice 11 Chen, Peng 11 Hua, Bobo 10 Meda, Stefano 10 Vallarino, Maria 9 Badr, Nadine 9 Bonfiglioli, Andrea 9 Frey, Dorothee 9 Kerkyacharian, Gérard 9 Martini, Alessio 9 Petrushev, Pencho P. 9 Pittet, Christophe 8 Ceccon, Jurandir 8 Georgiadis, Athanasios G. 8 Grillo, Gabriele 8 Robinson, Derek W. 8 Russ, Emmanuel 8 ter Elst, Antonius Frederik Maria 8 Zhao, Jiman 7 Carron, Gilles 7 Cowling, Michael G. 7 Driver, Bruce K. 7 Garofalo, Nicola 7 Hu, Jiaxin 7 Jiang, Renjin 7 Lanconelli, Ermanno 7 Martell, José María (Chema) 7 Müller, Detlef 7 Mustapha, Sami 7 Sjogren, Peter 7 Telcs, András 7 Uguzzoni, Francesco 7 Wang, Jian 7 Zegarlinski, Boguslaw 7 Zhou, Yuan 6 Blunck, Sönke 6 Eldredge, Nathaniel Gilbert Bartsch 6 Hassell, Andrew 6 Hofmann, Steve 6 Li, Xiang-Dong 6 Lohoué, Noël 6 Lu, Guozhen 6 Maheux, Patrick 6 Murugan, Mathav Kishore 6 Pankka, Pekka 6 Wu, Qingyan 6 Zheng, Tianyi 5 Ambrosio, Luigi 5 Andres, Sebastian 5 Bakry, Dominique 5 Bonnefont, Michel 5 Deng, Qingquan 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 Mauceri, Giancarlo 5 McIntosh, Alan 5 Milman, Mario Marcos 5 Mitrea, Marius 5 Peloso, Marco Maria 5 Pigola, Stefano 5 Polidoro, Sergio 5 Serapioni, Raul Paolo 5 Shanmugalingam, Nageswari 5 Xiao, Jie 4 Alexopoulos, Georgios K. 4 Anh, Bui The 4 Chen, Li 4 Devyver, Baptiste 4 Diaconis, Persi Warren 4 Erschler, Anna 4 Gordina, Maria ...and 865 more Authors all top 5 Cited in 199 Serials 118 Journal of Functional Analysis 48 Potential Analysis 46 Transactions of the American Mathematical Society 39 The Journal of Geometric Analysis 37 Journal of Mathematical Analysis and Applications 34 Mathematische Zeitschrift 32 Revista Matemática Iberoamericana 30 Mathematische Annalen 28 Annales de l’Institut Fourier 27 Advances in Mathematics 21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 21 Proceedings of the American Mathematical Society 20 Probability Theory and Related Fields 19 Journal de Mathématiques Pures et Appliquées. Neuvième Série 17 The Annals of Probability 17 Journal of Differential Equations 15 Duke Mathematical Journal 15 Bulletin des Sciences Mathématiques 15 The Journal of Fourier Analysis and Applications 11 Journal d’Analyse Mathématique 11 Manuscripta Mathematica 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Journal of the Mathematical Society of Japan 8 Communications in Mathematical Physics 8 Journal of Theoretical Probability 8 Stochastic Processes and their Applications 8 Calculus of Variations and Partial Differential Equations 8 Journal of Mathematical Sciences (New York) 8 Acta Mathematica Sinica. English Series 8 Frontiers of Mathematics in China 7 Mathematische Nachrichten 7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 6 Journal of Statistical Physics 6 Journal für die Reine und Angewandte Mathematik 6 Semigroup Forum 6 Geometric and Functional Analysis. GAFA 6 Annales Mathématiques Blaise Pascal 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Israel Journal of Mathematics 5 Journal of Mathematical Physics 5 Arkiv för Matematik 5 Journal of Approximation Theory 5 Memoirs of the American Mathematical Society 5 Tohoku Mathematical Journal. Second Series 5 Forum Mathematicum 5 Communications in Partial Differential Equations 5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 5 Journal of the Australian Mathematical Society 5 Science China. Mathematics 4 Bulletin of the Australian Mathematical Society 4 Studia Mathematica 4 Inventiones Mathematicae 4 Monatshefte für Mathematik 4 Annals of Global Analysis and Geometry 4 Journal of Inequalities and Applications 4 Communications in Contemporary Mathematics 4 Journal of Evolution Equations 4 Communications on Pure and Applied Analysis 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 4 Analysis and Geometry in Metric Spaces 3 Archive for Rational Mechanics and Analysis 3 Communications on Pure and Applied Mathematics 3 Collectanea Mathematica 3 Integral Equations and Operator Theory 3 Journal of Mathematical Economics 3 Acta Applicandae Mathematicae 3 Constructive Approximation 3 Applied and Computational Harmonic Analysis 3 Revista Matemática Complutense 3 Annals of Mathematics. Second Series 3 Groups, Geometry, and Dynamics 2 Discrete Applied Mathematics 2 Discrete Mathematics 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Reports on Mathematical Physics 2 Acta Mathematica 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Archiv der Mathematik 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 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal of the American Mathematical Society 2 Publicacions Matemàtiques 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 2 Expositiones Mathematicae 2 NoDEA. Nonlinear Differential Equations and Applications 2 Journal of Lie Theory 2 Electronic Research Announcements of the American Mathematical Society 2 Bernoulli 2 Discrete and Continuous Dynamical Systems ...and 99 more Serials all top 5 Cited in 53 Fields 346 Partial differential equations (35-XX) 266 Harmonic analysis on Euclidean spaces (42-XX) 252 Global analysis, analysis on manifolds (58-XX) 235 Probability theory and stochastic processes (60-XX) 230 Operator theory (47-XX) 163 Functional analysis (46-XX) 159 Abstract harmonic analysis (43-XX) 131 Topological groups, Lie groups (22-XX) 111 Differential geometry (53-XX) 80 Potential theory (31-XX) 53 Real functions (26-XX) 47 Combinatorics (05-XX) 38 Functions of a complex variable (30-XX) 37 Measure and integration (28-XX) 34 Group theory and generalizations (20-XX) 31 Statistical mechanics, structure of matter (82-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 16 Difference and functional equations (39-XX) 15 Quantum theory (81-XX) 14 Dynamical systems and ergodic theory (37-XX) 13 Numerical analysis (65-XX) 11 Ordinary differential equations (34-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Several complex variables and analytic spaces (32-XX) 9 Geometry (51-XX) 8 Approximations and expansions (41-XX) 8 Manifolds and cell complexes (57-XX) 8 Statistics (62-XX) 8 Fluid mechanics (76-XX) 7 Convex and discrete geometry (52-XX) 6 Special functions (33-XX) 6 Information and communication theory, circuits (94-XX) 5 Integral transforms, operational calculus (44-XX) 5 Biology and other natural sciences (92-XX) 4 Computer science (68-XX) 3 General and overarching topics; collections (00-XX) 3 Algebraic geometry (14-XX) 3 Associative rings and algebras (16-XX) 3 Integral equations (45-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Relativity and gravitational theory (83-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Nonassociative rings and algebras (17-XX) 2 Algebraic topology (55-XX) 2 Mechanics of deformable solids (74-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 Geophysics (86-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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