Picard, Jean 1959
Overview
Works:  54 works in 195 publications in 3 languages and 3,111 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Editor, Author, Other, Thesis advisor, Opponent, 958 
Classifications:  QA3, 519.2 
Publication Timeline
.
Most widely held works by
Jean Picard
Combinatorial stochastic processes : Ecole d'été de probabilités de SaintFlour XXXII2002 by
Jim Pitman(
)
20 editions published in 2006 in 3 languages and held by 661 WorldCat member libraries worldwide
Three series of lectures were given at the 32nd Probability Summer School in SaintFlour (July 724, 2002), by the Professors Pitman, Tsirelson and Werner. ThecoursesofProfessorsTsirelson("Scalinglimit, noise, stability")andWerner ("Random planar curves and SchrammLoewner evolutions") have been p lished in a previous issue ofLectures Notes in Mathematics (volume 1840). This volume contains the course "Combinatorial stochastic processes" of Professor Pitman. We cordially thank the author for his performance in SaintFlour and for these notes. 76 participants have attended this school. 33 of them have given a short lecture. The lists of participants and of short lectures are enclosed at the end of the volume. The SaintFlour Probability Summer School was founded in 1971. Here are the references of Springer volumes which have been published prior to this one. All numbers refer to theLecture Notes in Mathematics series, except S50 which refers to volume 50 of the Lecture Notes in Statistics series. 1971: vol 307 1980: vol 929 1990: vol 1527 1998: vol 1738 1973: vol 390 1981: vol 976 1991: vol 1541 1999: vol 1781 1974: vol 480 1982: vol 1097 1992: vol 1581 2000: vol 1816 1975: vol 539 1983: vol 1117 1993: vol 1608 2001: vol 1837 & 1851 1976: vol 598 1984: vol 1180 1994: vol 1648 2002: vol 1840 1977: vol 678 1985/86/87: vol 1362 & S50 1995: vol 1690 2003: vol 1869 1978: vol 774 1988: vol 1427 1996: vol 1665 1979: vol 876 1989: vol 1464 1997: vol 1717
20 editions published in 2006 in 3 languages and held by 661 WorldCat member libraries worldwide
Three series of lectures were given at the 32nd Probability Summer School in SaintFlour (July 724, 2002), by the Professors Pitman, Tsirelson and Werner. ThecoursesofProfessorsTsirelson("Scalinglimit, noise, stability")andWerner ("Random planar curves and SchrammLoewner evolutions") have been p lished in a previous issue ofLectures Notes in Mathematics (volume 1840). This volume contains the course "Combinatorial stochastic processes" of Professor Pitman. We cordially thank the author for his performance in SaintFlour and for these notes. 76 participants have attended this school. 33 of them have given a short lecture. The lists of participants and of short lectures are enclosed at the end of the volume. The SaintFlour Probability Summer School was founded in 1971. Here are the references of Springer volumes which have been published prior to this one. All numbers refer to theLecture Notes in Mathematics series, except S50 which refers to volume 50 of the Lecture Notes in Statistics series. 1971: vol 307 1980: vol 929 1990: vol 1527 1998: vol 1738 1973: vol 390 1981: vol 976 1991: vol 1541 1999: vol 1781 1974: vol 480 1982: vol 1097 1992: vol 1581 2000: vol 1816 1975: vol 539 1983: vol 1117 1993: vol 1608 2001: vol 1837 & 1851 1976: vol 598 1984: vol 1180 1994: vol 1648 2002: vol 1840 1977: vol 678 1985/86/87: vol 1362 & S50 1995: vol 1690 2003: vol 1869 1978: vol 774 1988: vol 1427 1996: vol 1665 1979: vol 876 1989: vol 1464 1997: vol 1717
The Wulff crystal in Ising and percolation models : Ecole d'été de probabilités de SaintFlour XXXIV2004 by
Raphaël Cerf(
)
24 editions published in 2006 in English and Undetermined and held by 644 WorldCat member libraries worldwide
This volume is a synopsis of recent works aiming at a mathematically rigorous justification of the phase coexistence phenomenon, starting from a microscopic model. It is intended to be selfcontained. Those proofs that can be found only in research papers have been included, whereas results for which the proofs can be found in classical textbooks are only quoted
24 editions published in 2006 in English and Undetermined and held by 644 WorldCat member libraries worldwide
This volume is a synopsis of recent works aiming at a mathematically rigorous justification of the phase coexistence phenomenon, starting from a microscopic model. It is intended to be selfcontained. Those proofs that can be found only in research papers have been included, whereas results for which the proofs can be found in classical textbooks are only quoted
The lace expansion and its applications : Ecole d'Eté de Probabilités de SaintFlour XXXIV2004 by
G Slade(
)
13 editions published in 2006 in English and held by 565 WorldCat member libraries worldwide
The lace expansion is a powerful and flexible method for understanding the critical scaling of several models of interest in probability, statistical mechanics, and combinatorics, above their upper critical dimensions. These models include the selfavoiding walk, lattice trees and lattice animals, percolation, oriented percolation, and the contact process. This volume provides a unified and extensive overview of the lace expansion and its applications to these models. Results include proofs of existence of critical exponents and construction of scaling limits. Often, the scaling limit is described in terms of superBrownian motion
13 editions published in 2006 in English and held by 565 WorldCat member libraries worldwide
The lace expansion is a powerful and flexible method for understanding the critical scaling of several models of interest in probability, statistical mechanics, and combinatorics, above their upper critical dimensions. These models include the selfavoiding walk, lattice trees and lattice animals, percolation, oriented percolation, and the contact process. This volume provides a unified and extensive overview of the lace expansion and its applications to these models. Results include proofs of existence of critical exponents and construction of scaling limits. Often, the scaling limit is described in terms of superBrownian motion
Lectures on probability theory and statistics : Ecole d'été de probabilités de SaintFlour XXXI, 2001 by
Simon Tavaré(
Book
)
16 editions published in 2004 in English and German and held by 419 WorldCat member libraries worldwide
This volume contains lectures given at the 31st Probability Summer School in SaintFlour (July 825, 2001). Simon Tavaré's lectures serve as an introduction to the coalescent, and to inference for ancestral processes in population genetics. The stochastic computation methods described include rejection methods, importance sampling, Markov chain Monte Carlo, and approximate Bayesian methods. Ofer Zeitouni's course on "Random Walks in Random Environment" presents systematically the tools that have been introduced to study the model. A fairly complete description of available results in dimension 1 is given. For higher dimension, the basic techniques and a discussion of some of the available results are provided. The contribution also includes an updated annotated bibliography and suggestions for further reading. Olivier Catoni's course appears separately
16 editions published in 2004 in English and German and held by 419 WorldCat member libraries worldwide
This volume contains lectures given at the 31st Probability Summer School in SaintFlour (July 825, 2001). Simon Tavaré's lectures serve as an introduction to the coalescent, and to inference for ancestral processes in population genetics. The stochastic computation methods described include rejection methods, importance sampling, Markov chain Monte Carlo, and approximate Bayesian methods. Ofer Zeitouni's course on "Random Walks in Random Environment" presents systematically the tools that have been introduced to study the model. A fairly complete description of available results in dimension 1 is given. For higher dimension, the basic techniques and a discussion of some of the available results are provided. The contribution also includes an updated annotated bibliography and suggestions for further reading. Olivier Catoni's course appears separately
Statistical learning theory and stochastic optimization : Ecole d'Eté de Probabilités de SaintFlour XXXI2001 by
Olivier Catoni(
Book
)
3 editions published in 2004 in English and held by 208 WorldCat member libraries worldwide
Statistical learning theory is aimed at analyzing complex data with necessarily approximate models. This book is intended for an audience with a graduate background in probability theory and statistics. It will be useful to any reader wondering why it may be a good idea, to use as is often done in practice a notoriously "wrong'' (i.e. oversimplified) model to predict, estimate or classify. This point of view takes its roots in three fields: information theory, statistical mechanics, and PACBayesian theorems. Results on the large deviations of trajectories of Markov chains with rare transitions are also included. They are meant to provide a better understanding of stochastic optimization algorithms of common use in computing estimators. The author focuses on nonasymptotic bounds of the statistical risk, allowing one to choose adaptively between rich and structured families of models and corresponding estimators. Two mathematical objects pervade the book: entropy and Gibbs measures. The goal is to show how to turn them into versatile and efficient technical tools, that will stimulate further studies and results
3 editions published in 2004 in English and held by 208 WorldCat member libraries worldwide
Statistical learning theory is aimed at analyzing complex data with necessarily approximate models. This book is intended for an audience with a graduate background in probability theory and statistics. It will be useful to any reader wondering why it may be a good idea, to use as is often done in practice a notoriously "wrong'' (i.e. oversimplified) model to predict, estimate or classify. This point of view takes its roots in three fields: information theory, statistical mechanics, and PACBayesian theorems. Results on the large deviations of trajectories of Markov chains with rare transitions are also included. They are meant to provide a better understanding of stochastic optimization algorithms of common use in computing estimators. The author focuses on nonasymptotic bounds of the statistical risk, allowing one to choose adaptively between rich and structured families of models and corresponding estimators. Two mathematical objects pervade the book: entropy and Gibbs measures. The goal is to show how to turn them into versatile and efficient technical tools, that will stimulate further studies and results
Concentration inequalities and model selection : Ecole d'Eté de Probabilités de SaintFlour XXXIII2003 by
Pascal Massart(
)
16 editions published in 2007 in English and held by 116 WorldCat member libraries worldwide
Since the impressive works of Talagrand, concentration inequalities have been recognized as fundamental tools in several domains such as geometry of Banach spaces or random combinatorics. They also turn out to be essential tools to develop a nonasymptotic theory in statistics, exactly as the central limit theorem and large deviations are known to play a central part in the asymptotic theory. An overview of a nonasymptotic theory for model selection is given here and some selected applications to variable selection, change points detection and statistical learning are discussed. This volume reflects the content of the course given by P. Massart in St. Flour in 2003. It is mostly selfcontained and accessible to graduate students
16 editions published in 2007 in English and held by 116 WorldCat member libraries worldwide
Since the impressive works of Talagrand, concentration inequalities have been recognized as fundamental tools in several domains such as geometry of Banach spaces or random combinatorics. They also turn out to be essential tools to develop a nonasymptotic theory in statistics, exactly as the central limit theorem and large deviations are known to play a central part in the asymptotic theory. An overview of a nonasymptotic theory for model selection is given here and some selected applications to variable selection, change points detection and statistical learning are discussed. This volume reflects the content of the course given by P. Massart in St. Flour in 2003. It is mostly selfcontained and accessible to graduate students
Fluctuation theory for Levy processes : Ecole d'Eté de Probabilités de SaintFlour XXXV2005 by
Ronald A Doney(
)
14 editions published in 2007 in English and Undetermined and held by 96 WorldCat member libraries worldwide
"Lévy processes, i.e. processes in continuous time with stationary and independent increments, are named after Paul Lévy, who made the connection with infinitely divisible distributions and described their structure. They form a flexible class of models, which have been applied to the study of storage processes, insurance risk, queues, turbulence, laser cooling ... and of course finance, where the feature that they include examples having "heavy tails" is particularly important. Their sample path behaviour poses a variety of difficult and fascinating problems. Such problems, and also some related distributional problems, are addressed in detail in these notes that reflect the content of the course given by R. Doney in St. Flour in 2005"Font no determinada
14 editions published in 2007 in English and Undetermined and held by 96 WorldCat member libraries worldwide
"Lévy processes, i.e. processes in continuous time with stationary and independent increments, are named after Paul Lévy, who made the connection with infinitely divisible distributions and described their structure. They form a flexible class of models, which have been applied to the study of storage processes, insurance risk, queues, turbulence, laser cooling ... and of course finance, where the feature that they include examples having "heavy tails" is particularly important. Their sample path behaviour poses a variety of difficult and fascinating problems. Such problems, and also some related distributional problems, are addressed in detail in these notes that reflect the content of the course given by R. Doney in St. Flour in 2005"Font no determinada
The lace expansion and its applications : Ecole d'Ete de Probabilites de SaintFlour XXXIV2004 by École d'été de probabilités de SaintFlour(
Book
)
10 editions published in 2006 in English and held by 65 WorldCat member libraries worldwide
The lace expansion is a powerful and flexible method for understanding the critical scaling of several models of interest in probability, statistical mechanics, and combinatorics, above their upper critical dimensions. These models include the selfavoiding walk, lattice trees and lattice animals, percolation, oriented percolation, and the contact process. This volume provides a unified and extensive overview of the lace expansion and its applications to these models. Results include proofs of existence of critical exponents and construction of scaling limits. Often, the scaling limit is described in terms of superBrownian motion
10 editions published in 2006 in English and held by 65 WorldCat member libraries worldwide
The lace expansion is a powerful and flexible method for understanding the critical scaling of several models of interest in probability, statistical mechanics, and combinatorics, above their upper critical dimensions. These models include the selfavoiding walk, lattice trees and lattice animals, percolation, oriented percolation, and the contact process. This volume provides a unified and extensive overview of the lace expansion and its applications to these models. Results include proofs of existence of critical exponents and construction of scaling limits. Often, the scaling limit is described in terms of superBrownian motion
Lectures on probability theory and statistics : Ecole d'Eté de Probabilités de SaintFlour XXXII2002 by
Boris Tsirelson(
Book
)
10 editions published in 2004 in English and German and held by 63 WorldCat member libraries worldwide
This is yet another indispensable volume for all probabilists and collectors of the SaintFlour series, and is also of great interest for mathematical physicists. It contains two of the three lecture courses given at the 32nd Probability Summer School in SaintFlour (July 724, 2002). Boris Tsirelson's lectures introduce the notion of nonclassical noise produced by very nonlinear functions of many independent random variables, for instance singular stochastic flows or oriented percolation. Two examples are examined (noise made by a Poisson snake, the Brownian web). A new framework for the scaling limit is proposed, as well as old and new results about noises, stability, and spectral measures. Wendelin Werner's contribution gives a survey of results on conformal invariance, scaling limits and properties of some twodimensional random curves. It provides a definition and properties of the SchrammLoewner evolutions, computations (probabilities, critical exponents), the relation with critical exponents of planar Brownian motions, planar selfavoiding walks, critical percolation, looperased random walks and uniform spanning trees
10 editions published in 2004 in English and German and held by 63 WorldCat member libraries worldwide
This is yet another indispensable volume for all probabilists and collectors of the SaintFlour series, and is also of great interest for mathematical physicists. It contains two of the three lecture courses given at the 32nd Probability Summer School in SaintFlour (July 724, 2002). Boris Tsirelson's lectures introduce the notion of nonclassical noise produced by very nonlinear functions of many independent random variables, for instance singular stochastic flows or oriented percolation. Two examples are examined (noise made by a Poisson snake, the Brownian web). A new framework for the scaling limit is proposed, as well as old and new results about noises, stability, and spectral measures. Wendelin Werner's contribution gives a survey of results on conformal invariance, scaling limits and properties of some twodimensional random curves. It provides a definition and properties of the SchrammLoewner evolutions, computations (probabilities, critical exponents), the relation with critical exponents of planar Brownian motions, planar selfavoiding walks, critical percolation, looperased random walks and uniform spanning trees
The lace expansion and its applications : Ecole d'Eté de Probabilités de SaintFlour XXXIV2004 by Ecole d'été de probabilités de SaintFlour(
)
1 edition published in 2006 in English and held by 43 WorldCat member libraries worldwide
The lace expansion is a powerful and flexible method for understanding the critical scaling of several models of interest in probability, statistical mechanics, and combinatorics, above their upper critical dimensions. These models include the selfavoiding walk, lattice trees and lattice animals, percolation, oriented percolation, and the contact process. This volume provides a unified and extensive overview of the lace expansion and its applications to these models. Results include proofs of existence of critical exponents and construction of scaling limits. Often, the scaling limit is described in terms of superBrownian motion
1 edition published in 2006 in English and held by 43 WorldCat member libraries worldwide
The lace expansion is a powerful and flexible method for understanding the critical scaling of several models of interest in probability, statistical mechanics, and combinatorics, above their upper critical dimensions. These models include the selfavoiding walk, lattice trees and lattice animals, percolation, oriented percolation, and the contact process. This volume provides a unified and extensive overview of the lace expansion and its applications to these models. Results include proofs of existence of critical exponents and construction of scaling limits. Often, the scaling limit is described in terms of superBrownian motion
Lectures on probability theory and statistics : Ecole d'Eté de Probabilités de SaintFlour XXXIII2003 by
Amir Dembo(
)
2 editions published in 2005 in English and held by 41 WorldCat member libraries worldwide
This volume contains two of the three lectures that were given at the 33rd Probability Summer School in SaintFlour (July 623, 2003). Amir Dembo?s course is devoted to recent studies of the fractal nature of random sets, focusing on some fine properties of the sample path of random walk and Brownian motion. In particular, the cover time for Markov chains, the dimension of discrete limsup random fractals, the multiscale truncated second moment and the CiesielskiTaylor identities are explored. Tadahisa Funaki?s course reviews recent developments of the mathematical theory on stochastic interface models, mostly on the socalled \nabla \varphi interface model. The results are formulated as classical limit theorems in probability theory, and the text serves with good applications of basic probability techniques
2 editions published in 2005 in English and held by 41 WorldCat member libraries worldwide
This volume contains two of the three lectures that were given at the 33rd Probability Summer School in SaintFlour (July 623, 2003). Amir Dembo?s course is devoted to recent studies of the fractal nature of random sets, focusing on some fine properties of the sample path of random walk and Brownian motion. In particular, the cover time for Markov chains, the dimension of discrete limsup random fractals, the multiscale truncated second moment and the CiesielskiTaylor identities are explored. Tadahisa Funaki?s course reviews recent developments of the mathematical theory on stochastic interface models, mostly on the socalled \nabla \varphi interface model. The results are formulated as classical limit theorems in probability theory, and the text serves with good applications of basic probability techniques
Differential equations driven by rough paths : École d'été de probabilités de SaintFlour XXXIV2004 by
T. J Lyons(
Book
)
6 editions published in 2007 in English and held by 35 WorldCat member libraries worldwide
Each year young mathematicians congregate in Saint Flour, France, and listen to extended lecture courses on new topics in Probability Theory. The goal of these notes, representing a course given by Terry Lyons in 2004, is to provide a straightforward and self supporting but minimalist account of the key results forming the foundation of the theory of rough paths. The proofs are similar to those in the existing literature, but have been refined with the benefit of hindsight. The theory of rough paths aims to create the appropriate mathematical framework for expressing the relationships between
6 editions published in 2007 in English and held by 35 WorldCat member libraries worldwide
Each year young mathematicians congregate in Saint Flour, France, and listen to extended lecture courses on new topics in Probability Theory. The goal of these notes, representing a course given by Terry Lyons in 2004, is to provide a straightforward and self supporting but minimalist account of the key results forming the foundation of the theory of rough paths. The proofs are similar to those in the existing literature, but have been refined with the benefit of hindsight. The theory of rough paths aims to create the appropriate mathematical framework for expressing the relationships between
Combinatorial stochastic processes : Ecole d'été probabilites de SaintFlour XXXII2002 by
Jim Pitman(
)
6 editions published in 2006 in English and held by 14 WorldCat member libraries worldwide
6 editions published in 2006 in English and held by 14 WorldCat member libraries worldwide
Méthodes de perturbation pour les équations différentielles stochastiques et le filtrage non linéaire by
Jean Picard(
Book
)
4 editions published in 1987 in French and held by 13 WorldCat member libraries worldwide
4 editions published in 1987 in French and held by 13 WorldCat member libraries worldwide
The lace expansion and its applications by
G Slade(
Book
)
3 editions published between 2004 and 2006 in English and held by 13 WorldCat member libraries worldwide
3 editions published between 2004 and 2006 in English and held by 13 WorldCat member libraries worldwide
Fluctuation Theory for L?vy Processes : Ecole d'Et? de Probabilit?s de SaintFlour XXXV  2005 00(
)
1 edition published in 2007 in English and held by 12 WorldCat member libraries worldwide
L??vy processes, i.e. processes in continuous time with stationary and independent increments, are named after Paul L??vy, who made the connection with infinitely divisible distributions and described their structure. They form a flexible class of models, which have been applied to the study of storage processes, insurance risk, queues, turbulence, laser cooling ... and of course finance, where the feature that they include examples having "heavy tails" is particularly important. Their sample path behaviour poses a variety of difficult and fascinating problems. Such problems, and also some r
1 edition published in 2007 in English and held by 12 WorldCat member libraries worldwide
L??vy processes, i.e. processes in continuous time with stationary and independent increments, are named after Paul L??vy, who made the connection with infinitely divisible distributions and described their structure. They form a flexible class of models, which have been applied to the study of storage processes, insurance risk, queues, turbulence, laser cooling ... and of course finance, where the feature that they include examples having "heavy tails" is particularly important. Their sample path behaviour poses a variety of difficult and fascinating problems. Such problems, and also some r
Lectures on Probability Theory and Statistics by
Jean Picard(
)
2 editions published in 2005 in English and held by 12 WorldCat member libraries worldwide
This volume contains two of the three lectures that were given at the thirtythird Probability Summer School in SaintFlour (July 623, 2003). Amir Dembo's course is devoted to recent studies of the fractal nature of random sets, focusing on some fine properties of the sample path of random walk and Brownian motion. In particular, the cover time for Markov chains, the dimension of discrete limsup random fractals, the multiscale truncated second moment and the CiesielskiTaylor identities are explored. Tadahisa Funaki's course reviews recent developments of the mathematical theory on stochasti
2 editions published in 2005 in English and held by 12 WorldCat member libraries worldwide
This volume contains two of the three lectures that were given at the thirtythird Probability Summer School in SaintFlour (July 623, 2003). Amir Dembo's course is devoted to recent studies of the fractal nature of random sets, focusing on some fine properties of the sample path of random walk and Brownian motion. In particular, the cover time for Markov chains, the dimension of discrete limsup random fractals, the multiscale truncated second moment and the CiesielskiTaylor identities are explored. Tadahisa Funaki's course reviews recent developments of the mathematical theory on stochasti
Lectures on probability theory and statistics : Ecole d'Eté de probabilités de SaintFlour XXX12001 by Ecole d'été de probabilités de SaintFlour(
Book
)
1 edition published in 2004 in English and held by 10 WorldCat member libraries worldwide
1 edition published in 2004 in English and held by 10 WorldCat member libraries worldwide
Tables of range and stopping power of chemical elements for charged particles of energy 0,05 to 500 MeV by
J. P Boujot(
Book
)
1 edition published in 1966 in English and held by 9 WorldCat member libraries worldwide
1 edition published in 1966 in English and held by 9 WorldCat member libraries worldwide
Efficiency of the extended Kalman filter for non linear systems with small noise by
Jean Picard(
Book
)
3 editions published in 1989 in English and held by 7 WorldCat member libraries worldwide
3 editions published in 1989 in English and held by 7 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Pitman, Jim Author
 Cerf, Raphaël Author
 Slade, G. (Gordon) Author Creator
 Tavaré, Simon Author
 Zeitouni, Ofer
 Catoni, Olivier Author
 Massart, Pascal Author
 Doney, Ronald A. Author
 Tsirelson, Boris Author
 Werner, Wendelin (1968 ...).
Associated Subjects
Artificial intelligence Combinatorial analysis Combinatorial optimization Combinatorial probabilities Computational learning theory Concentration functions Differential equations Differential equations, NonlinearAsymptotic theory Differential equations, Partial Distribution (Probability theory) GeneticsMathematics Inequalities (Mathematics) Ising model Kalman filtering Lévy processes Mathematical models Mathematical optimization Mathematical physics Mathematical statistics Mathematical statisticsMethodology Mathematics Numerical analysis Percolation (Statistical physics) Perturbation (Mathematics) Phase transformations (Statistical physics) Population geneticsStatistical methods Potential theory (Mathematics) Probabilities Random walks (Mathematics) Scaling laws (Statistical physics) Selfavoiding walks (Mathematics) Statistical physics Statistics Stochastic analysis Stochastic differential equations Stochastic processes Stochastic systems Wulff construction (Statistical physics)