## Picard, Jean

Compute Distance To:
 Author ID: picard.jean Published as: Picard, Jean; Picard, J. Homepage: https://lmbp.uca.fr/~picard/
 Documents Indexed: 36 Publications since 1984 1 Contribution as Editor Reviewing Activity: 247 Reviews Co-Authors: 2 Co-Authors with 3 Joint Publications 3 Co-Co-Authors

### Co-Authors

 33 single-authored 2 Savona, Catherine 1 Milheiro de Oliveira, Paula M. L. P.
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### Serials

 4 Probability Theory and Related Fields 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Stochastics 2 The Annals of Probability 2 SIAM Journal on Control and Optimization 2 SIAM Journal on Applied Mathematics 2 Stochastic Processes and their Applications 1 Journal of Functional Analysis 1 Potential Analysis 1 Séminaire d’Analyse. Université Blaise Pascal. Clermont II 1 Annales Mathématiques Blaise Pascal 1 Advances in Computational Mathematics 1 Electronic Journal of Probability 1 Bernoulli 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Lecture Notes in Mathematics
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### Fields

 35 Probability theory and stochastic processes (60-XX) 11 Systems theory; control (93-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Statistics (62-XX) 2 Ordinary differential equations (34-XX) 2 Numerical analysis (65-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Operator theory (47-XX)

### Citations contained in zbMATH Open

32 Publications have been cited 283 times in 215 Documents Cited by Year
On the existence of smooth densities for jump processes. Zbl 0853.60064
Picard, Jean
1996
Density in small time at accessible points for jump processes. Zbl 0889.60088
Picard, J.
1997
Duality formulas on the Poisson space. (Formules de dualité sur l’espace de Poisson.) Zbl 0859.60045
Picard, Jean
1996
Density in small time for Lévy processes. Zbl 0899.60065
Picard, Jean
1997
Nonlinear filtering of one-dimensional diffusions in the case of a high signal-to-noise ratio. Zbl 0617.93057
Picard, Jean
1986
Barycenters and martingales on a manifold. (Barycentres et martingales sur une variété.) Zbl 0817.58047
Picard, Jean
1994
Efficiency of the extended Kalman filter for nonlinear systems with small noise. Zbl 0733.93075
Picard, Jean
1991
Martingales on Riemannian manifolds with prescribed limit. Zbl 0758.60051
Picard, Jean
1991
Representation formulae for the fractional Brownian motion. Zbl 1221.60050
Picard, Jean
2011
Gradient estimates for some diffusion semigroups. Zbl 0995.60075
Picard, Jean
2002
Erratum to: On the existence of smooth densities for jump processes. Zbl 1202.60137
Picard, Jean
2010
Robustesse de la solution des problèmes de filtrage avec bruit blanc independant. Zbl 0545.60048
Picard, Jean
1984
Stochastic calculus and martingales on trees. Zbl 1077.60030
Picard, Jean
2005
The manifold-valued Dirichlet problem for symmetric diffusions. Zbl 0970.58022
Picard, Jean
2001
Convergence in probability for perturbed stochastic integral equations. Zbl 0659.60088
Picard, Jean
1989
Smoothness of harmonic functions for processes with jumps. Zbl 1045.60086
Picard, Jean; Savona, Catherine
2000
A tree approach to $$p$$-variation and to integration. Zbl 1157.60055
Picard, Jean
2008
Approximation of nonlinear filtering problems and order of convergence. Zbl 0539.93078
Picard, Jean
1984
Estimation of the quadratic variation of nearly observed semimartingales with application to filtering. Zbl 0770.93088
Picard, Jean
1993
The Fourier approximation of smooth but non-periodic functions from unevenly spaced data. Zbl 1308.65225
Lyon, M.; Picard, J.
2014
Brownian excursions, stochastic integrals, and representation of Wiener functionals. Zbl 1112.60043
Picard, Jean
2006
Martingales on the circle. (Martingales sur le cercle.) Zbl 0743.60047
Picard, Jean
1989
Transformations and anticipative equations for Poisson processes. (Transformations et équations anticipantes pour les processus de Poisson.) Zbl 0856.60059
Picard, Jean
1996
Stochastic calculus with jumps on a variety. (Calcul stochastique avec sauts sur une variété.) Zbl 0749.60043
Picard, Jean
1991
Smoothness of harmonic maps for hypoelliptic diffusions. Zbl 1044.58045
Picard, Jean
2000
Asymptotic study of estimation problems with small observation noise. Zbl 0646.93057
Picard, Jean
1987
Smoothness of the law of manifold-valued Markov processes with jumps. Zbl 1343.60075
Picard, Jean; Savona, Catherine
2013
A filtering problem with a small nonlinear term. Zbl 0605.60045
Picard, Jean
1986
Approximation of stochastic differential equations and application of the stochastic calculus of variations to the rate of convergence. Zbl 0644.60048
Picard, Jean
1988
Nonlinear filtering and smoothing with high signal-to-noise ratio. Zbl 0646.93060
Picard, J.
1988
Approximate nonlinear filtering for a two-dimensional diffusion with one-dimensional observations in a low noise channel. Zbl 1039.93063
Milheiro de Oliveira, Paula; Picard, Jean
2003
Lectures on probability theory and statistics. Ecole d’Eté de probabilités de Saint-Flour XXXI – 2001. Zbl 1034.60001
2004
The Fourier approximation of smooth but non-periodic functions from unevenly spaced data. Zbl 1308.65225
Lyon, M.; Picard, J.
2014
Smoothness of the law of manifold-valued Markov processes with jumps. Zbl 1343.60075
Picard, Jean; Savona, Catherine
2013
Representation formulae for the fractional Brownian motion. Zbl 1221.60050
Picard, Jean
2011
Erratum to: On the existence of smooth densities for jump processes. Zbl 1202.60137
Picard, Jean
2010
A tree approach to $$p$$-variation and to integration. Zbl 1157.60055
Picard, Jean
2008
Brownian excursions, stochastic integrals, and representation of Wiener functionals. Zbl 1112.60043
Picard, Jean
2006
Stochastic calculus and martingales on trees. Zbl 1077.60030
Picard, Jean
2005
Lectures on probability theory and statistics. Ecole d’Eté de probabilités de Saint-Flour XXXI – 2001. Zbl 1034.60001
2004
Approximate nonlinear filtering for a two-dimensional diffusion with one-dimensional observations in a low noise channel. Zbl 1039.93063
Milheiro de Oliveira, Paula; Picard, Jean
2003
Gradient estimates for some diffusion semigroups. Zbl 0995.60075
Picard, Jean
2002
The manifold-valued Dirichlet problem for symmetric diffusions. Zbl 0970.58022
Picard, Jean
2001
Smoothness of harmonic functions for processes with jumps. Zbl 1045.60086
Picard, Jean; Savona, Catherine
2000
Smoothness of harmonic maps for hypoelliptic diffusions. Zbl 1044.58045
Picard, Jean
2000
Density in small time at accessible points for jump processes. Zbl 0889.60088
Picard, J.
1997
Density in small time for Lévy processes. Zbl 0899.60065
Picard, Jean
1997
On the existence of smooth densities for jump processes. Zbl 0853.60064
Picard, Jean
1996
Duality formulas on the Poisson space. (Formules de dualité sur l’espace de Poisson.) Zbl 0859.60045
Picard, Jean
1996
Transformations and anticipative equations for Poisson processes. (Transformations et équations anticipantes pour les processus de Poisson.) Zbl 0856.60059
Picard, Jean
1996
Barycenters and martingales on a manifold. (Barycentres et martingales sur une variété.) Zbl 0817.58047
Picard, Jean
1994
Estimation of the quadratic variation of nearly observed semimartingales with application to filtering. Zbl 0770.93088
Picard, Jean
1993
Efficiency of the extended Kalman filter for nonlinear systems with small noise. Zbl 0733.93075
Picard, Jean
1991
Martingales on Riemannian manifolds with prescribed limit. Zbl 0758.60051
Picard, Jean
1991
Stochastic calculus with jumps on a variety. (Calcul stochastique avec sauts sur une variété.) Zbl 0749.60043
Picard, Jean
1991
Convergence in probability for perturbed stochastic integral equations. Zbl 0659.60088
Picard, Jean
1989
Martingales on the circle. (Martingales sur le cercle.) Zbl 0743.60047
Picard, Jean
1989
Approximation of stochastic differential equations and application of the stochastic calculus of variations to the rate of convergence. Zbl 0644.60048
Picard, Jean
1988
Nonlinear filtering and smoothing with high signal-to-noise ratio. Zbl 0646.93060
Picard, J.
1988
Asymptotic study of estimation problems with small observation noise. Zbl 0646.93057
Picard, Jean
1987
Nonlinear filtering of one-dimensional diffusions in the case of a high signal-to-noise ratio. Zbl 0617.93057
Picard, Jean
1986
A filtering problem with a small nonlinear term. Zbl 0605.60045
Picard, Jean
1986
Robustesse de la solution des problèmes de filtrage avec bruit blanc independant. Zbl 0545.60048
Picard, Jean
1984
Approximation of nonlinear filtering problems and order of convergence. Zbl 0539.93078
Picard, Jean
1984
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### Cited by 272 Authors

 9 Picard, Jean 7 Privault, Nicolas 7 Sztonyk, Paweł 6 Ishikawa, Yasushi 4 Bouleau, Nicolas 4 Clement, Emmanuelle 4 Figueroa-López, José E. 4 Fournier, Nicolas G. 4 Gloter, Arnaud 4 Kunita, Hiroshi 4 Øksendal, Bernt Karsten 4 Sandrić, Nikola 4 Zhang, Xicheng 3 Bally, Vlad 3 Denis, Laurent 3 Di Nunno, Giulia 3 Florchinger, Patrick 3 Friesen, Martin 3 Houdré, Christian 3 Jin, Peng 3 Proske, Frank Norbert 3 Savona, Catherine 3 Solé, Josep Lluís 3 Sturm, Karl-Theodor 3 Thalmaier, Anton 2 Arnaudon, Marc 2 Atar, Rami 2 Bayer, Christian 2 Blache, Fabrice 2 Breton, Jean-Christophe 2 Brigo, Damiano 2 Busvelle, Éric 2 Cass, Thomas Richard 2 Chaleyat-Maurel, Mireille 2 Cherif, Sidi Mohamed Lalaoui Ben 2 Coulhon, Thierry 2 Eddahbi, M’hamed 2 Friz, Peter Karl 2 Gomez, Christophe 2 Grzywny, Tomasz 2 Gulisashvili, Archil 2 Hayashi, Masafumi 2 Ichiba, Tomoyuki 2 Kaleta, Kamil 2 Karatzas, Ioannis 2 Kulczycki, Tadeusz 2 Kulik, Alexey M. 2 Last, Günter 2 łochowski, Rafał Marcin 2 Marquardt, Tina 2 Meyer-Brandis, Thilo 2 Michel, Dominique 2 Milstein, Grigori N. 2 Patie, Pierre 2 Peng, Xuhui 2 Penrose, Mathew D. 2 Richou, Adrien 2 Roubaud, Marie-Christine 2 Rüdiger, Barbara 2 Ryznar, Michał 2 Simon, Thomas 2 Szczypkowski, Karol 2 Takeuchi, Atsushi 2 Tempone, Raúl F. 2 Tretyakov, Michael V. 2 Utzet, Frederic 2 Vives, Josep 2 Wang, Jian 2 Yan, Minghan 2 Yoshida, Nakahiro 1 Abels, Helmut 1 Afterman, Danielle 1 Aidene, Mohamed 1 Amaba, Takafumi 1 Andersen, Leif B. G. 1 Ankirchner, Stefan 1 Antonelli, Fabio 1 Arapostathis, Aristotle 1 Atsuji, Atsushi 1 Auscher, Pascal 1 Balança, Paul 1 Bardi, Martino 1 Barndorff-Nielsen, Ole Eiler 1 Barrera, Gerardo 1 Basrak, Bojan 1 Bavouzet, Marie-Pierre 1 Bednorz, Witold Marek 1 Belomestny, Denis 1 Ben Hammouda, Chiheb 1 Bisewski, Krzysztof 1 Bobrovsky, Ben-Zion 1 Bogachev, Vladimir Igorevich 1 Boizot, Nicolas 1 Broutin, Nicolas 1 Budhiraja, Amarjit S. 1 Caramellino, Lucia 1 Carmona, Philippe 1 Cesaroni, Annalisa 1 Chassagneux, Jean-François 1 Chazal, Marie ...and 172 more Authors
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### Cited in 80 Serials

 35 Stochastic Processes and their Applications 13 Probability Theory and Related Fields 12 The Annals of Probability 12 Journal of Theoretical Probability 9 Bernoulli 8 Stochastic Analysis and Applications 7 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 6 Systems & Control Letters 6 Electronic Journal of Probability 4 Journal of Functional Analysis 4 The Annals of Applied Probability 4 Potential Analysis 4 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 3 Mathematische Nachrichten 3 Osaka Journal of Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Mathematical Analysis and Applications 2 Lithuanian Mathematical Journal 2 The Annals of Statistics 2 Applied Mathematics and Optimization 2 Journal of Applied Probability 2 Journal of Multivariate Analysis 2 Tôhoku Mathematical Journal. Second Series 2 Statistics & Probability Letters 2 Acta Applicandae Mathematicae 2 Stochastics and Stochastics Reports 2 Theory of Probability and Mathematical Statistics 2 Annales Mathématiques Blaise Pascal 2 Bulletin des Sciences Mathématiques 2 Quantitative Finance 2 Asia-Pacific Financial Markets 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Advances in Applied Probability 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 International Journal of Control 1 Journal d’Analyse Mathématique 1 Mathematical Methods in the Applied Sciences 1 Problems of Information Transmission 1 Rocky Mountain Journal of Mathematics 1 Stochastics 1 Studia Mathematica 1 Arkiv för Matematik 1 Mathematics of Computation 1 Theory of Probability and its Applications 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Automatica 1 Duke Mathematical Journal 1 Journal of Mathematical Economics 1 Journal of the Mathematical Society of Japan 1 Memoirs of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 Circuits, Systems, and Signal Processing 1 MCSS. Mathematics of Control, Signals, and Systems 1 Forum Mathematicum 1 Japan Journal of Industrial and Applied Mathematics 1 The Journal of Geometric Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 NoDEA. Nonlinear Differential Equations and Applications 1 Monte Carlo Methods and Applications 1 Mathematical Problems in Engineering 1 Finance and Stochastics 1 European Journal of Control 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 International Journal of Theoretical and Applied Finance 1 Annals of Mathematics. Second Series 1 Statistical Inference for Stochastic Processes 1 Brazilian Journal of Probability and Statistics 1 Stochastics and Dynamics 1 Stochastics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Sankhyā. Series A 1 Forum of Mathematics, Sigma 1 Communications in Mathematics and Statistics 1 Probability, Uncertainty and Quantitative Risk
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### Cited in 36 Fields

 187 Probability theory and stochastic processes (60-XX) 25 Systems theory; control (93-XX) 20 Global analysis, analysis on manifolds (58-XX) 20 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 19 Statistics (62-XX) 18 Partial differential equations (35-XX) 14 Numerical analysis (65-XX) 9 Operator theory (47-XX) 7 Dynamical systems and ergodic theory (37-XX) 5 Potential theory (31-XX) 5 Approximations and expansions (41-XX) 5 Differential geometry (53-XX) 4 Ordinary differential equations (34-XX) 3 Combinatorics (05-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral transforms, operational calculus (44-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX)