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111 2 a| Séminaire de probabilitésn| (33rd)?| UNAUTHORIZED;

245 10 a| Seminaire de probabilites XXXIII /c| J. Azéma, M. Émery, M. Ledoux, M. Yor (eds.).;

246 30 a| Séminaire de probabilités 33;

264 1 a| Berlin ;a| New York :b| Springer,c| [1999];

300 a| viii, 418 pages ;c| 24 cm.;

336 a| textb| txt2| rdacontent;

337 a| unmediatedb| n2| rdamedia;

338 a| volumeb| nc2| rdacarrier;

490 1 a| Lecture notes in mathematics,x| 0075-8434 ;v| 1709;

546 a| English and French.;

504 a| Includes bibliographical references.;

505 00 g| 1.t| Introduction --g| 1.1.t| Outline of Contents --g| 2.t| Some Examples --g| 2.1.t| Stochastic Gradients and Learning Processes --g| 2.2.t| Polya's Urns and Reinforced Random Walks --g| 2.3.t| Stochastic Fictitious Play in Game Theory --g| 3.t| Asymptotic Pseudotrajectories --g| 3.1.t| Characterization of Asymptotic Pseudotrajectories --g| 4.t| Asymptotic Pseudotrajectories and Stochastic Approximation Processes --g| 4.1.t| Notation and Preliminary Result --g| 4.2.t| Robbins-Monro Algorithms --g| 4.3.t| Continuous Time Processes --g| 5.t| Limit Sets of Asymptotic Pseudotrajectories --g| 5.1.t| Chain Recurrence and Attractors --g| 5.2.t| Limit Set Theorem --g| 6.t| Dynamics of Asymptotic Pseudotrajectories --g| 6.1.t| Simple Flows, Cyclic Orbit Chains --g| 6.2.t| Lyapounov Functions and Stochastic Gradients --g| 6.3.t| Attractors --g| 6.4.t| Planar Systems --g| 7.t| Convergence with positive probability toward an attractor --g| 7.1.t| Attainable Sets --g| 7.2.t| Examples --g| 7.3.t| Stabilization --g| 8.t| Shadowing Properties --g| 8.1.t| [lambda]-Pseudotrajectories --g| 8.2.t| Expansion Rate and Shadowing --g| 8.3.t| Properties of the Expansion Rate --g| 9.t| Nonconvergence to Unstable points, Periodic orbits and Normally Hyperbolic Sets --g| 9.1.t| Proof of Theorem 9.1 --g| 10.t| Weak Asymptotic Pseudotrajectories --g| 10.1.t| Stochastic Approximation Processes with Slow Decreasing Step-Size.;

520 a| Besides topics traditionally found in the Séminaire de Probabilités (Martingale Theory, Stochastic Processes, questions of general interest in Probability Theory), this volume XXXIII presents nine contributions to the study of filtrations up to isomorphism. It also contains three graduate courses: Dynamics of stochastic algorithms, by M. Benaim; Simulated annealing algorithms and Markov chains with rare transitions, by O. Catoni; and Concentration of measure and logarithmic Sobolev inequalities, by M. Ledoux. These up to date courses present the state of the art in three matters of interest to students in theoretical or applied Probability Theory, and to researchers as well.;

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650 17 a| Stochastische analyse.2| gtt;

650 17 a| Markov-processen.2| gtt;

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650 7 a| Analise estocastica.2| larpcal;

650 7 a| Probabilities.2| nli;

655 7 a| Conference papers and proceedings.2| fast0| (OCoLC)fst01423772;

700 1 a| Azéma, J.=| ^A655243;

700 1 a| Émery, M.?| UNAUTHORIZED;

700 1 a| Ledoux, M.?| UNAUTHORIZED;

700 1 a| Yor, Marc.=| ^A162112;

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830 0 a| Lecture notes in mathematics (Springer-Verlag) ;v| 1709.=| ^A496146;

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Seminaire de probabilites XXXIII / J. Azéma, M. Émery, M. Ledoux, M. Yor (eds.).

Author/creator	Séminaire de probabilités
Format	Book
Publication	Berlin ; New York : Springer, [1999]
Copyright Date	©1999
Description	viii, 418 pages ; 24 cm.
Subjects	Probabilities--Congresses. Probability.

Other author/creator	Azéma, J.
Other author/creator	Émery, M.
Other author/creator	Ledoux, M.
Other author/creator	Yor, Marc.
Portion of title	Séminaire de probabilités 33
Series	Lecture notes in mathematics, 0075-8434 ; 1709 Lecture notes in mathematics (Springer-Verlag) ; 1709. ^A496146
Contents	1. Introduction -- 1.1. Outline of Contents -- 2. Some Examples -- 2.1. Stochastic Gradients and Learning Processes -- 2.2. Polya's Urns and Reinforced Random Walks -- 2.3. Stochastic Fictitious Play in Game Theory -- 3. Asymptotic Pseudotrajectories -- 3.1. Characterization of Asymptotic Pseudotrajectories -- 4. Asymptotic Pseudotrajectories and Stochastic Approximation Processes -- 4.1. Notation and Preliminary Result -- 4.2. Robbins-Monro Algorithms -- 4.3. Continuous Time Processes -- 5. Limit Sets of Asymptotic Pseudotrajectories -- 5.1. Chain Recurrence and Attractors -- 5.2. Limit Set Theorem -- 6. Dynamics of Asymptotic Pseudotrajectories -- 6.1. Simple Flows, Cyclic Orbit Chains -- 6.2. Lyapounov Functions and Stochastic Gradients -- 6.3. Attractors -- 6.4. Planar Systems -- 7. Convergence with positive probability toward an attractor -- 7.1. Attainable Sets -- 7.2. Examples -- 7.3. Stabilization -- 8. Shadowing Properties -- 8.1. [lambda]-Pseudotrajectories -- 8.2. Expansion Rate and Shadowing -- 8.3. Properties of the Expansion Rate -- 9. Nonconvergence to Unstable points, Periodic orbits and Normally Hyperbolic Sets -- 9.1. Proof of Theorem 9.1 -- 10. Weak Asymptotic Pseudotrajectories -- 10.1. Stochastic Approximation Processes with Slow Decreasing Step-Size.
Abstract	Besides topics traditionally found in the Séminaire de Probabilités (Martingale Theory, Stochastic Processes, questions of general interest in Probability Theory), this volume XXXIII presents nine contributions to the study of filtrations up to isomorphism. It also contains three graduate courses: Dynamics of stochastic algorithms, by M. Benaim; Simulated annealing algorithms and Markov chains with rare transitions, by O. Catoni; and Concentration of measure and logarithmic Sobolev inequalities, by M. Ledoux. These up to date courses present the state of the art in three matters of interest to students in theoretical or applied Probability Theory, and to researchers as well.
Local note	Joyner-FOR JOYNER LIBRARY HOLDINGS OF THE SERIES, LECTURE NOTES IN MTHEMATICS, SEARCH BY CALL NUMBER QA3 .L28.
Bibliography note	Includes bibliographical references.
Language	English and French.
Genre/form	Conference papers and proceedings.
ISBN	3540663428
ISBN	9783540663423

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