Edit Profile (opens in new tab) Franchi, Jacques Compute Distance To: Compute Author ID: franchi.jacques Published as: Franchi, Jacques; Franchi, J. Documents Indexed: 31 Publications since 1984, including 2 Books 1 Contribution as Editor Reviewing Activity: 361 Reviews Co-Authors: 6 Co-Authors with 17 Joint Publications 127 Co-Co-Authors all top 5 Co-Authors 15 single-authored 10 Le Jan, Yves 6 Enriquez, Nathanaël 4 Fang, Shizan 1 Angst, Jürgen 1 Arnaudon, Marc 1 Bailleul, Ismaël F. all top 5 Serials 2 Communications in Mathematical Physics 2 Bulletin de la Société Mathématique de France 2 Probability Theory and Related Fields 2 Stochastic Processes and their Applications 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Bulletin des Sciences Mathématiques 1 Advances in Applied Probability 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Physics 1 The Annals of Probability 1 Gazette des Mathématiciens 1 Journal of Functional Analysis 1 Proceedings of the London Mathematical Society. Third Series 1 Revista Matemática Iberoamericana 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Oxford Mathematical Monographs 1 Références Sciences all top 5 Fields 28 Probability theory and stochastic processes (60-XX) 17 Global analysis, analysis on manifolds (58-XX) 8 Dynamical systems and ergodic theory (37-XX) 6 Differential geometry (53-XX) 5 Relativity and gravitational theory (83-XX) 2 Topological groups, Lie groups (22-XX) 2 Partial differential equations (35-XX) 2 Geometry (51-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 146 times in 100 Documents Cited by ▼ Year ▼ Relativistic diffusions and Schwarzschild geometry. Zbl 1130.83006Franchi, Jacques; Le Jan, Yves 31 2007 De Rham-Hodge-Kodaira operator on loop groups. Zbl 0901.58067Fang, Shizan; Franchi, Jacques 17 1997 Hyperbolic dynamics and Brownian motion. An introduction. Zbl 1257.37001Franchi, Jacques; Le Jan, Yves 14 2012 Relativistic diffusion in Gödel’s universe. Zbl 1179.83021Franchi, Jacques 10 2009 Multiplicative chaos: A simple and complete treatment of the partition function. (Chaos multiplicatif: Un traitement simple et complet de la fonction de partition.) Zbl 0834.60101Franchi, J. 9 1995 Flatness of the Riemannian structure over the path group and energy identity for stochastic integrals. (Platitude de la structure riemannienne sur le groupe des chemins et identité d’énergie pour les intégrales stochastiques.) Zbl 0846.60058Fang, Shizan; Franchi, Jacques 7 1995 Central limit theorem for a class of relativistic diffusions. Zbl 1152.81316Angst, Jürgen; Franchi, Jacques 7 2007 Curvature diffusions in general relativity. Zbl 1235.53072Franchi, Jacques; Le Jan, Yves 6 2011 Central limit theorem for the geodesic flow associated with a Kleinian group, case \(\delta>d/2\). Zbl 0986.37009Enriquez, N.; Franchi, J.; Le Jan, Y. 5 2001 A differentiable isomorphism between Wiener space and path group. Zbl 0889.58084Fang, Shizan; Franchi, Jacques 5 1997 Stable windings on hyperbolic surfaces. Zbl 1172.37311Enriquez, Nathanaël; Franchi, Jacques; Le Jan, Yves 4 2001 Small time asymptotics for an example of strictly hypoelliptic heat kernel. Zbl 1390.60288Franchi, Jacques 4 2014 Théorème des résidus asymptotique pour le mouvement brownien sur une surface riemannienne compacte. (Asymptotic residue theorem for the Brownian motion on a compact Riemannian surface). Zbl 0746.60059Franchi, J. 4 1991 Asymptotic windings of Brownian motion around the windings in a compact Riemannian variety of dimension 3. (Enroulements asymptotiques du mouvement brownien autour de lacets dans une variété riemannienne compacte de dimension 3.) Zbl 0810.60048Franchi, J. 3 1994 Nonexplosion criteria for relativistic diffusions. Zbl 1262.83026Bailleul, Ismaël; Franchi, Jacques 3 2012 Sur les trajectoires intrinsèques des processus de Markov et le théorème de Shih. Zbl 0537.60071Franchi, Jacques; Le Jan, Yves 2 1984 Asymptotic singular homology of a complete hyperbolic 3-manifold of finite volume. Zbl 1056.58012Franchi, J. 2 1999 Asymptotic singular windings of ergodic diffusions. Zbl 0863.58072Franchi, J. 2 1996 Asymptotic windings over the trefoil knot. Zbl 1115.58029Franchi, Jacques 2 2005 Almost sure asymptotic behaviour of the number of windings of the Brownian motion of a compact Riemannian manifold of dimension 2 or 3. (Comportement asymptotique presque sûr des nombres de tours effectués par le mouvement brownien d’une variété riemannienne compacte de dimension 2 ou 3.) Zbl 0835.58039Franchi, J. 2 1995 From Riemannian to relativistic diffusions. Zbl 1404.58052Franchi, Jacques 2 2017 Produits semi-directs de diffusions réelles et lois asymptotiques. (Semidirect products of real diffusions and asymptotic laws). Zbl 0694.60073Franchi, J. 1 1989 Brownian charges around loops. Zbl 0842.60081Franchi, J.; Le Jan, Yves 1 1996 Stable windings for geodesics under Patterson-Sullivan measure. (Enroulement des géodésiques sous la mesure de Patterson-Sullivan.) Zbl 0932.37013Enriquez, Nathanaël; Franchi, Jacques; Le Jan, Yves 1 1998 Small time equivalents for the density of a planar quadratric diffusion. (Équivalents en temps petit pour la densité d’une diffusion de Langevin quadratique plane.) Zbl 1460.58020Franchi, Jacques 1 2019 Masse des pointes, temps de retour et enroulements en courbure négative. (Mass of cusps, time of return and windings in negative curvature). Zbl 1035.37026Enriquez, Nathanaël; Franchi, Jacques 1 2002 Small time equivalents for the density of a planar quadratric diffusion. (Équivalents en temps petit pour la densité d’une diffusion de Langevin quadratique plane.) Zbl 1460.58020Franchi, Jacques 1 2019 From Riemannian to relativistic diffusions. Zbl 1404.58052Franchi, Jacques 2 2017 Small time asymptotics for an example of strictly hypoelliptic heat kernel. Zbl 1390.60288Franchi, Jacques 4 2014 Hyperbolic dynamics and Brownian motion. An introduction. Zbl 1257.37001Franchi, Jacques; Le Jan, Yves 14 2012 Nonexplosion criteria for relativistic diffusions. Zbl 1262.83026Bailleul, Ismaël; Franchi, Jacques 3 2012 Curvature diffusions in general relativity. Zbl 1235.53072Franchi, Jacques; Le Jan, Yves 6 2011 Relativistic diffusion in Gödel’s universe. Zbl 1179.83021Franchi, Jacques 10 2009 Relativistic diffusions and Schwarzschild geometry. Zbl 1130.83006Franchi, Jacques; Le Jan, Yves 31 2007 Central limit theorem for a class of relativistic diffusions. Zbl 1152.81316Angst, Jürgen; Franchi, Jacques 7 2007 Asymptotic windings over the trefoil knot. Zbl 1115.58029Franchi, Jacques 2 2005 Masse des pointes, temps de retour et enroulements en courbure négative. (Mass of cusps, time of return and windings in negative curvature). Zbl 1035.37026Enriquez, Nathanaël; Franchi, Jacques 1 2002 Central limit theorem for the geodesic flow associated with a Kleinian group, case \(\delta>d/2\). Zbl 0986.37009Enriquez, N.; Franchi, J.; Le Jan, Y. 5 2001 Stable windings on hyperbolic surfaces. Zbl 1172.37311Enriquez, Nathanaël; Franchi, Jacques; Le Jan, Yves 4 2001 Asymptotic singular homology of a complete hyperbolic 3-manifold of finite volume. Zbl 1056.58012Franchi, J. 2 1999 Stable windings for geodesics under Patterson-Sullivan measure. (Enroulement des géodésiques sous la mesure de Patterson-Sullivan.) Zbl 0932.37013Enriquez, Nathanaël; Franchi, Jacques; Le Jan, Yves 1 1998 De Rham-Hodge-Kodaira operator on loop groups. Zbl 0901.58067Fang, Shizan; Franchi, Jacques 17 1997 A differentiable isomorphism between Wiener space and path group. Zbl 0889.58084Fang, Shizan; Franchi, Jacques 5 1997 Asymptotic singular windings of ergodic diffusions. Zbl 0863.58072Franchi, J. 2 1996 Brownian charges around loops. Zbl 0842.60081Franchi, J.; Le Jan, Yves 1 1996 Multiplicative chaos: A simple and complete treatment of the partition function. (Chaos multiplicatif: Un traitement simple et complet de la fonction de partition.) Zbl 0834.60101Franchi, J. 9 1995 Flatness of the Riemannian structure over the path group and energy identity for stochastic integrals. (Platitude de la structure riemannienne sur le groupe des chemins et identité d’énergie pour les intégrales stochastiques.) Zbl 0846.60058Fang, Shizan; Franchi, Jacques 7 1995 Almost sure asymptotic behaviour of the number of windings of the Brownian motion of a compact Riemannian manifold of dimension 2 or 3. (Comportement asymptotique presque sûr des nombres de tours effectués par le mouvement brownien d’une variété riemannienne compacte de dimension 2 ou 3.) Zbl 0835.58039Franchi, J. 2 1995 Asymptotic windings of Brownian motion around the windings in a compact Riemannian variety of dimension 3. (Enroulements asymptotiques du mouvement brownien autour de lacets dans une variété riemannienne compacte de dimension 3.) Zbl 0810.60048Franchi, J. 3 1994 Théorème des résidus asymptotique pour le mouvement brownien sur une surface riemannienne compacte. (Asymptotic residue theorem for the Brownian motion on a compact Riemannian surface). Zbl 0746.60059Franchi, J. 4 1991 Produits semi-directs de diffusions réelles et lois asymptotiques. (Semidirect products of real diffusions and asymptotic laws). Zbl 0694.60073Franchi, J. 1 1989 Sur les trajectoires intrinsèques des processus de Markov et le théorème de Shih. Zbl 0537.60071Franchi, Jacques; Le Jan, Yves 2 1984 all cited Publications top 5 cited Publications all top 5 Cited by 97 Authors 12 Franchi, Jacques 5 Angst, Jürgen 5 Fang, Shizan 5 Li, Xue-Mei 5 Privault, Nicolas 5 Tardif, Camille 4 Elworthy, K. David 3 Bailleul, Ismaël F. 3 Dolgopyat, Dmitry 3 Le Jan, Yves 3 Léandre, Rémi 3 Simpelaere, Dominique 2 Aida, Shigeki 2 Baudoin, Fabrice 2 Boboc, Nicu 2 Bucur, Gheorghe 2 Calogero, Simone 2 Cruzeiro, Ana-Bela 2 Debbasch, Fabrice 2 Haba, Zbigniew 2 Sarig, Omri M. 2 Serva, Maurizio 2 Shao, Jinghai 2 Valkó, Benedek 1 Aidekon, Elie E. F. 1 Airault, Hélène 1 Andra, Doni 1 Assiotis, Theodoros 1 Attia, Najmeddine 1 Babillot, Martine 1 Bachman, David 1 Barral, Julien 1 Beschastnyi, Ivan Yu. 1 Bismut, Jean-Michel 1 Bougerol, Philippe 1 Campbell, Joshua 1 Cecil, Matthew 1 Chen, Jinwen 1 Chevalier, Claire 1 Claeys, Tom 1 Deroin, Bertrand 1 Driver, Bruce K. 1 Drouot, Alexis 1 Dujardin, Romain 1 Duong, Manh Hong 1 Émery, Michel 1 Eriksson, Sirkka-Liisa 1 Espaze, D. 1 Fahs, Benjamin 1 Félix, José Antonio Alcántara 1 Foulonneau, V. 1 Gehringer, Johann Rudolf 1 Gordina, Maria 1 Görner, Matthias 1 Grothaus, Martin 1 Guivarc’h, Yves 1 Habermann, Karen 1 Hermann, Andreas 1 Hermanto, Arief 1 Humbert, Emmanuel 1 Jakobson, Dmitry 1 Kaarakka, Terhi 1 Kolb, Martin 1 Lacoin, Hubert 1 Lambert, Gaultier 1 Li, Yun 1 Liu, Quansheng 1 Malliavin, Paul 1 Mariano, Phanuel A. 1 Melcher, Tai 1 Moreno, Gregorio 1 Nicolas, Jean-Philippe 1 Nolan, Brien C. 1 Ossiander, Mina E. 1 Pankavich, Stephen 1 Peigné, Marc 1 Pigato, Paolo 1 Pinsky, Tali 1 Ren, Jiagang 1 Rosyid, Muhammad Farchani 1 Sarnak, Peter Clive 1 Sauzedde, Isao 1 Schapira, Barbara 1 Schempp, Walter Johannes 1 Schleimer, Saul 1 Segerman, Henry 1 Shi, Zhan 1 Smith, Hart F. 1 Srimurthy, Vikram K. 1 Stilgenbauer, Patrik 1 Virág, Bálint 1 Watbled, Frédérique 1 Waymire, Edward C. 1 Webb, Christian 1 Weich, Tobias 1 Wolf, Lasse L. 1 Yang, Yuxin all top 5 Cited in 48 Serials 11 Journal of Functional Analysis 6 The Annals of Probability 5 Communications in Mathematical Physics 5 Journal of Statistical Physics 5 Stochastic Processes and their Applications 5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 4 Journal of Mathematical Physics 4 Infinite Dimensional Analysis, Quantum Probability and Related Topics 3 Potential Analysis 2 Chaos, Solitons and Fractals 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Probability Theory and Related Fields 2 Bulletin des Sciences Mathématiques 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Modern Physics Letters A 1 Classical and Quantum Gravity 1 General Relativity and Gravitation 1 Israel Journal of Mathematics 1 Physica A 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 Annales de l’Institut Fourier 1 The Annals of Statistics 1 Bulletin de la Société Mathématique de France 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Differential Equations 1 Journal of the Mathematical Society of Japan 1 Mathematische Zeitschrift 1 Revista Matemática Iberoamericana 1 Journal of Theoretical Probability 1 Science in China. Series A 1 The Journal of Geometric Analysis 1 Experimental Mathematics 1 Advances in Applied Clifford Algebras 1 Electronic Communications in Probability 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Annales Henri Poincaré 1 Stochastics and Dynamics 1 Central European Journal of Mathematics 1 International Journal of Geometric Methods in Modern Physics 1 Communications in Mathematical Analysis 1 Journal of Modern Dynamics 1 Kinetic and Related Models 1 Analysis & PDE 1 Random Matrices: Theory and Applications 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Constructive Mathematical Analysis all top 5 Cited in 28 Fields 68 Probability theory and stochastic processes (60-XX) 44 Global analysis, analysis on manifolds (58-XX) 18 Relativity and gravitational theory (83-XX) 17 Dynamical systems and ergodic theory (37-XX) 15 Differential geometry (53-XX) 10 Partial differential equations (35-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Measure and integration (28-XX) 5 Potential theory (31-XX) 5 Functional analysis (46-XX) 4 Topological groups, Lie groups (22-XX) 3 Number theory (11-XX) 3 Ordinary differential equations (34-XX) 3 Algebraic topology (55-XX) 3 Manifolds and cell complexes (57-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Operator theory (47-XX) 2 Quantum theory (81-XX) 2 Astronomy and astrophysics (85-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year