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## Arnaudon, Marc

Compute Distance To:
 Author ID: arnaudon.marc Published as: Arnaudon, Marc; Arnaudon, M. Homepage: https://www.math.u-bordeaux.fr/~marnaudo/ External Links: MGP · IdRef · theses.fr
 Documents Indexed: 66 Publications since 1991, including 1 Book
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#### Co-Authors

 11 single-authored 19 Thalmaier, Anton 8 Cruzeiro, Ana-Bela 4 Barbaresco, Frédéric 4 Paycha, Sylvie 4 Wang, Feng-Yu 3 Li, Xue-Mei 3 Miclo, Laurent 2 Antonyuk, Oleksandra Viktorivna 2 Breton, Jean-Christophe 2 Coulibaly, Kolehe Abdoulaye 2 Del Moral, Pierre 2 Fang, Shizan 2 Hajri, Hatem 2 Le Brigant, Alice 2 Nielsen, Frank 2 Privault, Nicolas 2 Yang, Le 2 Zambrini, Jean-Claude 1 Bauer, Robert Otto 1 Belopol’skaya, Yana Isaevna 1 Bigot, Jéremie 1 Bonnefont, Michel 1 Bourmaud, Guillaume 1 Cabanes, Yann 1 Çağlar, Mine 1 Chen, Xin 1 Dombry, Clément 1 Driver, Bruce K. 1 Franchi, Jacques 1 Galamba, Nuno 1 Giremus, Audrey 1 Joulin, Aldéric 1 Léonard, Christian 1 Mégret, Rémi 1 Phan, Anthony 1 Plank, Holger 1 Simon, Thomas 1 Ulsamer, Stefanie
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#### Serials

 5 Bulletin des Sciences Mathématiques 4 Stochastic Processes and their Applications 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Communications in Mathematical Physics 2 The Annals of Probability 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Stochastics and Stochastics Reports 2 Potential Analysis 2 Electronic Journal of Probability 1 Journal of Mathematical Physics 1 Annales de l’Institut Fourier 1 Illinois Journal of Mathematics 1 Mathematische Zeitschrift 1 Stochastic Analysis and Applications 1 Probability Theory and Related Fields 1 Revista Matemática Iberoamericana 1 Journal of Theoretical Probability 1 Computational Geometry 1 IMRN. International Mathematics Research Notices 1 Journal of Mathematical Imaging and Vision 1 Electronic Communications in Probability 1 Bernoulli 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 LMS Journal of Computation and Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Stochastics 1 Journal of Physics A: Mathematical and Theoretical
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#### Fields

 47 Probability theory and stochastic processes (60-XX) 38 Global analysis, analysis on manifolds (58-XX) 10 Partial differential equations (35-XX) 10 Differential geometry (53-XX) 5 Fluid mechanics (76-XX) 5 Information and communication theory, circuits (94-XX) 4 Operator theory (47-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Potential theory (31-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

51 Publications have been cited 399 times in 283 Documents Cited by Year
Harnack inequality and heat kernel estimates on manifolds with curvature unbounded below. Zbl 1089.58024
Arnaudon, Marc; Thalmaier, Anton; Wang, Feng-Yu
2006
Gradient estimates and Harnack inequalities on non-compact Riemannian manifolds. Zbl 1178.58013
Arnaudon, Marc; Thalmaier, Anton; Wang, Feng-Yu
2009
Brownian motion with respect to a metric depending on time; definition, existence and applications to Ricci flow. Zbl 1144.58019
Arnaudon, Marc; Coulibaly, Kolehe Abdoulaye; Thalmaier, Anton
2008
Lagrangian Navier-Stokes diffusions on manifolds: variational principle and stability. Zbl 1254.35174
Arnaudon, Marc; Cruzeiro, Ana Bela
2012
Stochastic Euler-Poincaré reduction. Zbl 1307.37027
Arnaudon, Marc; Chen, Xin; Cruzeiro, Ana Bela
2014
Horizontal diffusion in $$C^1$$ path space. Zbl 1222.58029
Arnaudon, Marc; Coulibaly, Koléhè Abdoulaye; Thalmaier, Anton
2011
Complete lifts of connections and stochastic Jacobi fields. Zbl 0916.58045
Arnaudon, M.; Thalmaier, A.
1998
A probabilistic approach to the Yang-Mills heat equation. Zbl 1042.58021
Arnaudon, Marc; Bauer, Robert O.; Thalmaier, Anton
2002
Stochastic algorithms for computing means of probability measures. Zbl 1262.60073
Arnaudon, Marc; Dombry, Clément; Phan, Anthony; Yang, Le
2012
Li-Yau type gradient estimates and Harnack inequalities by stochastic analysis. Zbl 1201.58023
Arnaudon, Marc; Thalmaier, Anton
2010
Medians and means in Riemannian geometry: existence, uniqueness and computation. Zbl 1319.58008
Arnaudon, Marc; Barbaresco, Frédéric; Yang, Le
2013
Equivalent Harnack and gradient inequalities for pointwise curvature lower bound. Zbl 1296.58024
Arnaudon, Marc; Thalmaier, Anton; Wang, Feng-Yu
2014
On approximating the Riemannian 1-center. Zbl 1259.65036
Arnaudon, Marc; Nielsen, Frank
2013
Horizontal martingales in vector bundles. Zbl 1046.58013
Arnaudon, Marc; Thalmaier, Anton
2003
Means in complete manifolds: uniqueness and approximation. Zbl 1352.60012
Arnaudon, Marc; Miclo, Laurent
2014
Application of stochastic flows to the sticky Brownian motion equation. Zbl 1357.60083
Hajri, Hatem; Caglar, Mine; Arnaudon, Marc
2017
Gradient estimates for positive harmonic functions by stochastic analysis. Zbl 1144.58020
Arnaudon, Marc; Driver, Bruce K.; Thalmaier, Anton
2007
Convex ordering for random vectors using predictable representation. Zbl 1151.60007
Arnaudon, Marc; Breton, Jean-Christophe; Privault, Nicolas
2008
Differentiable and analytic families of continuous martingales in manifolds with connection. Zbl 0883.60043
Arnaudon, Marc
1997
Barycenters of measures transported by stochastic flows. Zbl 1077.60039
Arnaudon, Marc; Li, Xue-Mei
2005
Yang-Mills fields and random holonomy along Brownian bridges. Zbl 1029.58025
Arnaudon, Marc; Thalmaier, Anton
2003
Regularisable and minimal orbits for group actions in infinite dimensions. Zbl 0938.58008
Arnaudon, M.; Paycha, S.
1998
Intertwinings and generalized Brascamp-Lieb inequalities. Zbl 1428.60112
Arnaudon, Marc; Bonnefont, Michel; Joulin, Aldéric
2018
Generalized stochastic flows and applications to incompressible viscous fluids. Zbl 1358.76027
Antoniouk, Alexandra; Arnaudon, Marc; Cruzeiro, Ana Bela
2014
Stochastic tools on Hilbert manifolds: Interplay with geometry and physics. Zbl 0888.58004
Arnaudon, M.; Paycha, S.
1997
Convex barycenters and approximations of continuous martingales in manifolds. (Barycentres convexes et approximations des martingales continues dans les variétés.) Zbl 0837.58037
Arnaudon, Marc
1995
Homogeneous space-valued semi-martingales. (Semi-martigales dans les espaces homogènes.) Zbl 0779.60045
Arnaudon, Marc
1993
Existence of non-trivial harmonic functions on Cartan-Hadamard manifolds of unbounded curvature. Zbl 1172.58011
Arnaudon, Marc; Thalmaier, Anton; Ulsamer, Stefanie
2009
Lagrangian Navier-Stokes flows: a stochastic model. Zbl 1429.76081
Arnaudon, Marc; Cruzeiro, Ana Bela; Galamba, Nuno
2011
Stability of stochastic differential equations in manifolds. Zbl 0918.60040
Arnaudon, Marc; Thalmaier, Anton
1998
Bismut type differentiation of semigroups. Zbl 0999.60054
Arnaudon, Marc; Thalmaier, Anton
1999
The differentiation of hypoelliptic diffusion semigroups. Zbl 1270.60073
Arnaudon, Marc; Thalmaier, Anton
2010
Reparameterization invariant metric on the space of curves. Zbl 1396.58011
Le Brigant, Alice; Arnaudon, Marc; Barbaresco, Frédéric
2015
Continuous-discrete extended Kalman filter on matrix Lie groups using concentrated Gaussian distributions. Zbl 1397.94014
Bourmaud, Guillaume; Mégret, Rémi; Arnaudon, Marc; Giremus, Audrey
2015
Stochastic Lagrangian flows and the Navier-Stokes equations. Zbl 1333.60005
Arnaudon, Marc; Cruzeiro, Ana Bela
2015
A variational approach to nonlinear and interacting diffusions. Zbl 07098089
Arnaudon, Marc; Del Moral, Pierre
2019
Reflected Brownian motion: selection, approximation and linearization. Zbl 1361.60071
Arnaudon, Marc; Li, Xue-Mei
2017
A stochastic algorithm finding generalized means on compact manifolds. Zbl 1314.60041
Arnaudon, Marc; Miclo, Laurent
2014
Manifold-valued martingales, changes of probabilities, and smoothness of finely harmonic maps. Zbl 0946.60030
Arnaudon, Marc; Li, Xue-Mei; Thalmaier, Anton
1999
Brownian motion and negative curvature. Zbl 1228.58020
Arnaudon, Marc; Thalmaier, Anton
2011
Renormalized Laplacians on a class of Hilbert manifolds and a Bochner-Weitzenböck type formula for current groups. Zbl 1032.58019
Arnaudon, Marc; Belopolskaya, Yana; Paycha, Sylvie
2000
A Bismut type formula for the Hessian of heat semigroups. Zbl 1038.60043
Arnaudon, Marc; Plank, Holger; Thalmaier, Anton
2003
Generalized stochastic Lagrangian paths for the Navier-Stokes equation. Zbl 1397.49061
Arnaudon, Marc; Cruzeiro, Ana Bela; Fang, Shizan
2018
A stochastic algorithm finding $$p$$-means on the circle. Zbl 1385.60020
Arnaudon, Marc; Miclo, Laurent
2016
Medians and means in Finsler geometry. Zbl 1293.53025
Arnaudon, Marc; Nielsen, Frank
2012
Conditional expectations and $$C$$-martingales in manifolds. (Espérances conditionnelles et $$C$$-martingales dans les variétés.) Zbl 0809.60059
Arnaudon, Marc
1994
Connections and martingales in Lie groups. (Appendix: Decomposition into the product of two Brownians of a martingale with values in a group provided with a bi-invariant metric, by M. Arnaudon and P. Mathieu). (Connexions et martingales dans les groupes de Lie. (Appendice: Décomposition en produit de deux browniens d’une martingale à valeurs dans un groupe muni d’une métrique bi-invariante de M. Arnaudon et P. Mathieu).) Zbl 0780.58047
Arnaudon, Marc
1992
Factorisation of semi-martingales on principal fibre bundles and the Faddeev-Popov procedure in gauge theories. Zbl 0853.58110
Arnaudon, M.; Paycha, S.
1995
Doubling of manifolds with boundary and semi-martingales. (Dédoublement des variétés à bord et des semi-martingales.) Zbl 0789.58077
Arnaudon, Marc
1993
Stochastic Lagrangian flows on some compact manifolds. Zbl 1266.58021
Arnaudon, Marc; Cruzeiro, Ana Bela
2012
Variational principle for weighted porous media equation. (Principe variationnel pour l’èquation des milieux poreux.) Zbl 1284.35236
Antoniouk, Alexandra; Arnaudon, Marc
2014
A variational approach to nonlinear and interacting diffusions. Zbl 07098089
Arnaudon, Marc; Del Moral, Pierre
2019
Intertwinings and generalized Brascamp-Lieb inequalities. Zbl 1428.60112
Arnaudon, Marc; Bonnefont, Michel; Joulin, Aldéric
2018
Generalized stochastic Lagrangian paths for the Navier-Stokes equation. Zbl 1397.49061
Arnaudon, Marc; Cruzeiro, Ana Bela; Fang, Shizan
2018
Application of stochastic flows to the sticky Brownian motion equation. Zbl 1357.60083
Hajri, Hatem; Caglar, Mine; Arnaudon, Marc
2017
Reflected Brownian motion: selection, approximation and linearization. Zbl 1361.60071
Arnaudon, Marc; Li, Xue-Mei
2017
A stochastic algorithm finding $$p$$-means on the circle. Zbl 1385.60020
Arnaudon, Marc; Miclo, Laurent
2016
Reparameterization invariant metric on the space of curves. Zbl 1396.58011
Le Brigant, Alice; Arnaudon, Marc; Barbaresco, Frédéric
2015
Continuous-discrete extended Kalman filter on matrix Lie groups using concentrated Gaussian distributions. Zbl 1397.94014
Bourmaud, Guillaume; Mégret, Rémi; Arnaudon, Marc; Giremus, Audrey
2015
Stochastic Lagrangian flows and the Navier-Stokes equations. Zbl 1333.60005
Arnaudon, Marc; Cruzeiro, Ana Bela
2015
Stochastic Euler-Poincaré reduction. Zbl 1307.37027
Arnaudon, Marc; Chen, Xin; Cruzeiro, Ana Bela
2014
Equivalent Harnack and gradient inequalities for pointwise curvature lower bound. Zbl 1296.58024
Arnaudon, Marc; Thalmaier, Anton; Wang, Feng-Yu
2014
Means in complete manifolds: uniqueness and approximation. Zbl 1352.60012
Arnaudon, Marc; Miclo, Laurent
2014
Generalized stochastic flows and applications to incompressible viscous fluids. Zbl 1358.76027
Antoniouk, Alexandra; Arnaudon, Marc; Cruzeiro, Ana Bela
2014
A stochastic algorithm finding generalized means on compact manifolds. Zbl 1314.60041
Arnaudon, Marc; Miclo, Laurent
2014
Variational principle for weighted porous media equation. (Principe variationnel pour l’èquation des milieux poreux.) Zbl 1284.35236
Antoniouk, Alexandra; Arnaudon, Marc
2014
Medians and means in Riemannian geometry: existence, uniqueness and computation. Zbl 1319.58008
Arnaudon, Marc; Barbaresco, Frédéric; Yang, Le
2013
On approximating the Riemannian 1-center. Zbl 1259.65036
Arnaudon, Marc; Nielsen, Frank
2013
Lagrangian Navier-Stokes diffusions on manifolds: variational principle and stability. Zbl 1254.35174
Arnaudon, Marc; Cruzeiro, Ana Bela
2012
Stochastic algorithms for computing means of probability measures. Zbl 1262.60073
Arnaudon, Marc; Dombry, Clément; Phan, Anthony; Yang, Le
2012
Medians and means in Finsler geometry. Zbl 1293.53025
Arnaudon, Marc; Nielsen, Frank
2012
Stochastic Lagrangian flows on some compact manifolds. Zbl 1266.58021
Arnaudon, Marc; Cruzeiro, Ana Bela
2012
Horizontal diffusion in $$C^1$$ path space. Zbl 1222.58029
Arnaudon, Marc; Coulibaly, Koléhè Abdoulaye; Thalmaier, Anton
2011
Lagrangian Navier-Stokes flows: a stochastic model. Zbl 1429.76081
Arnaudon, Marc; Cruzeiro, Ana Bela; Galamba, Nuno
2011
Brownian motion and negative curvature. Zbl 1228.58020
Arnaudon, Marc; Thalmaier, Anton
2011
Li-Yau type gradient estimates and Harnack inequalities by stochastic analysis. Zbl 1201.58023
Arnaudon, Marc; Thalmaier, Anton
2010
The differentiation of hypoelliptic diffusion semigroups. Zbl 1270.60073
Arnaudon, Marc; Thalmaier, Anton
2010
Gradient estimates and Harnack inequalities on non-compact Riemannian manifolds. Zbl 1178.58013
Arnaudon, Marc; Thalmaier, Anton; Wang, Feng-Yu
2009
Existence of non-trivial harmonic functions on Cartan-Hadamard manifolds of unbounded curvature. Zbl 1172.58011
Arnaudon, Marc; Thalmaier, Anton; Ulsamer, Stefanie
2009
Brownian motion with respect to a metric depending on time; definition, existence and applications to Ricci flow. Zbl 1144.58019
Arnaudon, Marc; Coulibaly, Kolehe Abdoulaye; Thalmaier, Anton
2008
Convex ordering for random vectors using predictable representation. Zbl 1151.60007
Arnaudon, Marc; Breton, Jean-Christophe; Privault, Nicolas
2008
Gradient estimates for positive harmonic functions by stochastic analysis. Zbl 1144.58020
Arnaudon, Marc; Driver, Bruce K.; Thalmaier, Anton
2007
Harnack inequality and heat kernel estimates on manifolds with curvature unbounded below. Zbl 1089.58024
Arnaudon, Marc; Thalmaier, Anton; Wang, Feng-Yu
2006
Barycenters of measures transported by stochastic flows. Zbl 1077.60039
Arnaudon, Marc; Li, Xue-Mei
2005
Horizontal martingales in vector bundles. Zbl 1046.58013
Arnaudon, Marc; Thalmaier, Anton
2003
Yang-Mills fields and random holonomy along Brownian bridges. Zbl 1029.58025
Arnaudon, Marc; Thalmaier, Anton
2003
A Bismut type formula for the Hessian of heat semigroups. Zbl 1038.60043
Arnaudon, Marc; Plank, Holger; Thalmaier, Anton
2003
A probabilistic approach to the Yang-Mills heat equation. Zbl 1042.58021
Arnaudon, Marc; Bauer, Robert O.; Thalmaier, Anton
2002
Renormalized Laplacians on a class of Hilbert manifolds and a Bochner-Weitzenböck type formula for current groups. Zbl 1032.58019
Arnaudon, Marc; Belopolskaya, Yana; Paycha, Sylvie
2000
Bismut type differentiation of semigroups. Zbl 0999.60054
Arnaudon, Marc; Thalmaier, Anton
1999
Manifold-valued martingales, changes of probabilities, and smoothness of finely harmonic maps. Zbl 0946.60030
Arnaudon, Marc; Li, Xue-Mei; Thalmaier, Anton
1999
Complete lifts of connections and stochastic Jacobi fields. Zbl 0916.58045
Arnaudon, M.; Thalmaier, A.
1998
Regularisable and minimal orbits for group actions in infinite dimensions. Zbl 0938.58008
Arnaudon, M.; Paycha, S.
1998
Stability of stochastic differential equations in manifolds. Zbl 0918.60040
Arnaudon, Marc; Thalmaier, Anton
1998
Differentiable and analytic families of continuous martingales in manifolds with connection. Zbl 0883.60043
Arnaudon, Marc
1997
Stochastic tools on Hilbert manifolds: Interplay with geometry and physics. Zbl 0888.58004
Arnaudon, M.; Paycha, S.
1997
Convex barycenters and approximations of continuous martingales in manifolds. (Barycentres convexes et approximations des martingales continues dans les variétés.) Zbl 0837.58037
Arnaudon, Marc
1995
Factorisation of semi-martingales on principal fibre bundles and the Faddeev-Popov procedure in gauge theories. Zbl 0853.58110
Arnaudon, M.; Paycha, S.
1995
Conditional expectations and $$C$$-martingales in manifolds. (Espérances conditionnelles et $$C$$-martingales dans les variétés.) Zbl 0809.60059
Arnaudon, Marc
1994
Homogeneous space-valued semi-martingales. (Semi-martigales dans les espaces homogènes.) Zbl 0779.60045
Arnaudon, Marc
1993
Doubling of manifolds with boundary and semi-martingales. (Dédoublement des variétés à bord et des semi-martingales.) Zbl 0789.58077
Arnaudon, Marc
1993
Connections and martingales in Lie groups. (Appendix: Decomposition into the product of two Brownians of a martingale with values in a group provided with a bi-invariant metric, by M. Arnaudon and P. Mathieu). (Connexions et martingales dans les groupes de Lie. (Appendice: Décomposition en produit de deux browniens d’une martingale à valeurs dans un groupe muni d’une métrique bi-invariante de M. Arnaudon et P. Mathieu).) Zbl 0780.58047
Arnaudon, Marc
1992
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#### Cited by 315 Authors

 42 Wang, Feng-Yu 24 Arnaudon, Marc 23 Thalmaier, Anton 12 Cheng, Lijuan 9 Cruzeiro, Ana-Bela 6 Holm, Darryl D. 6 Liu, Wei 6 Paycha, Sylvie 6 Philipowski, Robert 6 Volkov, Boris O. 5 Fan, Xiliang 5 Privault, Nicolas 5 Röckner, Michael 5 Xu, Lihu 5 Yuan, Chenggui 4 Bao, Jianhai 4 Del Moral, Pierre 4 Kuwada, Kazumasa 4 Le, Huiling 4 Reusken, Arnold 3 Arnaudon, Alexis 3 Chen, Xin 3 Coulibaly-Pasquier, Koléhè Abdoulaye 3 Franchi, Jacques 3 Guillin, Arnaud 3 Guo, Hongxin 3 Huang, Xing 3 Koba, Hajime 3 Kruse, Thomas 3 Li, Xue-Mei 3 Olshanskii, Maxim A. 3 Popescu, Ionel 3 Sturm, Karl-Theodor 3 Urusov, Mikhail A. 3 Weinmann, Andreas 3 Wu, Bo 3 Zhang, Xicheng 2 Absil, Pierre-Antoine 2 Angst, Jürgen 2 Ankirchner, Stefan 2 Antonyuk, Oleksandra Viktorivna 2 Barden, Dennis 2 Belkhelfa, Mohamed 2 Berthoumieu, Yannick 2 Breton, Jean-Christophe 2 Cao, Xiaodong 2 Catuogno, Pedro José 2 De Vecchi, Francesco C. 2 Deng, Changsong 2 Driver, Bruce K. 2 Fang, Shizan 2 Gaeta, Giuseppe 2 Gentil, Ivan 2 Giga, Yoshikazu 2 Gorine, Mohamed 2 Güneysu, Batu 2 Jankuhn, Thomas 2 Joulin, Aldéric 2 Klassen, Eric Paul 2 Le Brigant, Alice 2 Léandre, Rémi 2 Li, Shihu 2 Li, Xiang-Dong 2 Liu, Chun 2 Liu, Guoping 2 Luo, Dejun 2 Miclo, Laurent 2 Morando, Paola 2 Neel, Robert Weston 2 Nielsen, Frank 2 Ouyang, Shunxiang 2 Pulemotov, Artem 2 Rosenberg, Steven 2 Scholle, Markus 2 Sepulchre, Rodolphe J. 2 Song, Yulin 2 Storath, Martin 2 Takao, So 2 Wang, Fengyu 2 Wang, Jian 2 Wu, Jianglun 2 Xie, Bin 2 Xie, Yingchao 1 Amaba, Takafumi 1 Ambrosio, Luigi 1 Anderson, Brian David Outram 1 Angulo, Jesús 1 Bailesteanu, Mihai 1 Barczy, Mátyás 1 Bauer, Martin 1 Bauer, Robert Otto 1 Becker, Florian 1 Belopol’skaya, Yana Isaevna 1 Berger, Johannes 1 Berman, Robert J. 1 Bethencourt de León, Aythami 1 Bigot, Jéremie 1 Bishop, Adrian N. 1 Blache, Fabrice 1 Bochi, Jairo ...and 215 more Authors
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#### Cited in 95 Serials

 18 Stochastic Processes and their Applications 12 The Annals of Probability 11 Potential Analysis 10 Journal of Functional Analysis 10 Infinite Dimensional Analysis, Quantum Probability and Related Topics 8 Journal of Mathematical Analysis and Applications 8 Bulletin des Sciences Mathématiques 7 Journal of Geometry and Physics 7 Statistics & Probability Letters 7 Probability Theory and Related Fields 7 Journal of Theoretical Probability 7 Science China. Mathematics 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Communications in Mathematical Physics 5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 5 Journal of Nonlinear Science 5 Electronic Journal of Probability 5 Bernoulli 5 Stochastics and Dynamics 5 Stochastics 4 Journal of Mathematical Physics 4 Journal of Differential Equations 4 Mathematische Zeitschrift 4 Stochastic Analysis and Applications 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Journal of Mathematical Imaging and Vision 3 Quarterly of Applied Mathematics 3 SIAM Journal on Matrix Analysis and Applications 3 The Journal of Geometric Analysis 3 Linear Algebra and its Applications 3 Journal of Evolution Equations 3 Frontiers of Mathematics in China 3 Journal of Geometric Mechanics 2 Advances in Mathematics 2 Automatica 2 Illinois Journal of Mathematics 2 Journal of the Mathematical Society of Japan 2 Journal of Multivariate Analysis 2 Mathematische Annalen 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the American Mathematical Society 2 Annals of Global Analysis and Geometry 2 Acta Mathematicae Applicatae Sinica. English Series 2 Calculus of Variations and Partial Differential Equations 2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 2 Acta Mathematica Sinica. English Series 1 Journal of Statistical Physics 1 Nonlinearity 1 Physics Reports 1 Reports on Mathematical Physics 1 Studia Mathematica 1 Wave Motion 1 Theory of Probability and its Applications 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Statistics 1 Applied Mathematics and Computation 1 Bulletin of the London Mathematical Society 1 Journal of Applied Probability 1 Mathematics of Operations Research 1 SIAM Journal on Numerical Analysis 1 Tohoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 Optimization 1 Revista Matemática Iberoamericana 1 Forum Mathematicum 1 International Journal of Mathematics 1 International Journal of Computational Geometry & Applications 1 The Annals of Applied Probability 1 Differential Geometry and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Optimization 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 SIAM Journal on Scientific Computing 1 Journal of Mathematical Sciences (New York) 1 Annales Mathématiques Blaise Pascal 1 International Journal of Computer Vision 1 Advances in Applied Clifford Algebras 1 Discrete and Continuous Dynamical Systems 1 Interfaces and Free Boundaries 1 LMS Journal of Computation and Mathematics 1 Lobachevskii Journal of Mathematics 1 Scandinavian Actuarial Journal 1 Discrete and Continuous Dynamical Systems. Series B 1 Multiscale Modeling & Simulation 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Proceedings of the Steklov Institute of Mathematics 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Optimization Letters 1 Analysis and Geometry in Metric Spaces 1 SIAM Journal on Applied Algebra and Geometry 1 Journal of Applied and Computational Topology 1 Probability, Uncertainty and Quantitative Risk
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#### Cited in 44 Fields

 184 Probability theory and stochastic processes (60-XX) 109 Global analysis, analysis on manifolds (58-XX) 64 Differential geometry (53-XX) 49 Partial differential equations (35-XX) 35 Operator theory (47-XX) 22 Fluid mechanics (76-XX) 19 Dynamical systems and ergodic theory (37-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 12 Statistics (62-XX) 12 Numerical analysis (65-XX) 8 Mechanics of particles and systems (70-XX) 8 Operations research, mathematical programming (90-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Topological groups, Lie groups (22-XX) 6 Real functions (26-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Computer science (68-XX) 5 Information and communication theory, circuits (94-XX) 4 Quantum theory (81-XX) 4 Relativity and gravitational theory (83-XX) 4 Systems theory; control (93-XX) 3 Functions of a complex variable (30-XX) 3 Ordinary differential equations (34-XX) 3 Difference and functional equations (39-XX) 3 Convex and discrete geometry (52-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Algebraic geometry (14-XX) 2 Measure and integration (28-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Abstract harmonic analysis (43-XX) 2 Functional analysis (46-XX) 2 Geometry (51-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX)