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Stochastic Analysis, Control, Optimization and Applications: A Volume in Honor of W.H. Fleming Book

Stochastic Analysis, Control, Optimization and Applications: A Volume in Honor of W.H. Fleming
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Stochastic Analysis, Control, Optimization and Applications: A Volume in Honor of W.H. Fleming, This new, edited book focuses on various aspects of stochastic analysis, control theory, optimization and a wide range of applications. It is a book in honor of Wendell H. Fleming for his fundamental contributions and substantial achievements in the field, Stochastic Analysis, Control, Optimization and Applications: A Volume in Honor of W.H. Fleming
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  • Stochastic Analysis, Control, Optimization and Applications: A Volume in Honor of W.H. Fleming
  • Written by author William M. McEneaney
  • Published by Birkhauser Verlag, 4/30/2013
  • This new, edited book focuses on various aspects of stochastic analysis, control theory, optimization and a wide range of applications. It is a book in honor of Wendell H. Fleming for his fundamental contributions and substantial achievements in the field
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Preface
Foreword
W. H. Fleming's Curriculum Vitae
Contributors and Addresses
Pt. I Large Deviations, Risk Sensitive and H[subscript [infinity]] Control
1 Representations for Functionals of Hilbert Space Valued Diffusions 1
2 Risk-Sensitive, Minimax, and Mixed Risk-Neutral/Minimax Control of Markov Decision Processes 21
3 Partially Observed Control Problems with Multiplicative Cost 41
4 Nonlinear Semigroups for Partially Observed Risk-Sensitive Control and Minimax Games 57
5 Nonlinear, Dissipative, Infinite Dimensional Systems 75
6 Singular Limits of Bellman Equations of Ergodic Type Related to Risk-Sensitive Control 95
7 Game Approach to Risk Sensitive Control for Stochastic Evolution Systems 115
8 On the Solutions of the Equation Arising from the Singular Limit of Some Eigen Problems 135
9 Nonlinear H[superscript [infinity]] Controller Design via Viscosity Supersolutions of the Isaacs Equation 151
Pt. II Partial Differential Equations and Viscosity Solutions
10 Singularities of Semiconcave Functions in Banach Spaces 171
11 Invariant Sets for Controlled Degenerate Diffusions: A Viscosity Solutions Approach 191
12 Remarks on the Dirichlet Problem for Quasilinear Elliptic and Parabolic Equations 209
13 A Generalized Hamilton-Jacobi-Bellman Equation for Deterministic Optimal Control Problems 223
14 Regular Solutions of Stochastic Burgers Equation 237
15 Piecewise-Deterministic Processes and Viscosity Solutions 249
16 Mathematical Approaches to the Problem of Noise-Induced Exit 269
17 An Approximation Scheme for Evolutive Hamilton-Jacobi Equations 289
18 Homogenization of the Cauchy Problem for Hamilton-Jacobi Equations 305
19 The Critical Exponent for a Stochastic PDE to Hit Zero 325
Pt. III Stochastic Control, Filtering and Parameter Estimation
20 Robustness of Zakai's Equation via Feynman-Kac Representations 339
21 Estimation of Probability Distributions for Individual Parameters Using Aggregate Population Data 353
22 Solvable Infinite Time Horizon Stochastic Control Problems in Noncompact Symmetric Spaces 373
23 Exact Finite Dimensional Filters for Exponential Functionals of the State 391
24 A Lyapunov Theory of Nonlinear Observers 409
25 Existence of Optimal Controls for Variance Control 421
26 On Optimal Ergodic Control of Diffusions with Jumps 439
27 Markov Marginal Problems and Their Applications to Markov Optimal Control 457
28 Entropy Inequalities and Entropy Dynamics in Nonlinear Filtering of Diffusion Processes 477
29 Identification for Linear Stochastic Distributed Parameter Systems with Boundary/Point Control 497
30 Monte Carlo Estimation of Diffusion Distributions at Inter-sampling Times 505
Pt. IV Mathematical Finance and other Applications
31 Option Pricing in a Market with Frictions 521
32 Pathwise Comparison of Arithmetic Brownian Motions and Log-normal Processes 541
33 Critical Power for Asymptotic Connectivity in Wireless Networks 547
34 Pricing Models with Transaction Fees 567
35 A Verification Theorem in General Equilibrium Model of Asset Prices 585
36 Optimal Portfolio Management with Partial Observations and Power Utility Function 605
37 Hierarchical Production Controls for a Stochastic Manufacturing System with Long-Run Average Cost: Asymptotic Optimality 621


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Stochastic Analysis, Control, Optimization and Applications: A Volume in Honor of W.H. Fleming, This new, edited book focuses on various aspects of stochastic analysis, control theory, optimization and a wide range of applications. It is a book in honor of Wendell H. Fleming for his fundamental contributions and substantial achievements in the field, Stochastic Analysis, Control, Optimization and Applications: A Volume in Honor of W.H. Fleming

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Stochastic Analysis, Control, Optimization and Applications: A Volume in Honor of W.H. Fleming, This new, edited book focuses on various aspects of stochastic analysis, control theory, optimization and a wide range of applications. It is a book in honor of Wendell H. Fleming for his fundamental contributions and substantial achievements in the field, Stochastic Analysis, Control, Optimization and Applications: A Volume in Honor of W.H. Fleming

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Stochastic Analysis, Control, Optimization and Applications: A Volume in Honor of W.H. Fleming, This new, edited book focuses on various aspects of stochastic analysis, control theory, optimization and a wide range of applications. It is a book in honor of Wendell H. Fleming for his fundamental contributions and substantial achievements in the field, Stochastic Analysis, Control, Optimization and Applications: A Volume in Honor of W.H. Fleming

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