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Computation and Combinatorics in Dynamics, Stochastics and Control

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Cover of 'Computation and Combinatorics in Dynamics, Stochastics and Control'

Table of Contents

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    Book Overview
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    Chapter 1 Facilitated Exclusion Process
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    Chapter 2 Stochastic Functional Differential Equations and Sensitivity to Their Initial Path
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    Chapter 3 Grassmannian Flows and Applications to Nonlinear Partial Differential Equations
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    Chapter 4 Gog and Magog Triangles
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    Chapter 5 The Clebsch Representation in Optimal Control and Low Rank Integrable Systems
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    Chapter 6 The Geometry of Characters of Hopf Algebras
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    Chapter 7 Shape Analysis on Homogeneous Spaces: A Generalised SRVT Framework
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    Chapter 8 Universality in Numerical Computation with Random Data: Case Studies, Analytical Results and Some Speculations
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    Chapter 9 BSDEs with Default Jump
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    Chapter 10 The Faà di Bruno Hopf Algebra for Multivariable Feedback Recursions in the Center Problem for Higher Order Abel Equations
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    Chapter 11 Continuous-Time Autoregressive Moving-Average Processes in Hilbert Space
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    Chapter 12 Pre- and Post-Lie Algebras: The Algebro-Geometric View
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    Chapter 13 Extension of the Product of a Post-Lie Algebra and Application to the SISO Feedback Transformation Group
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    Chapter 14 Infinite Dimensional Rough Dynamics
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    Chapter 15 Heavy Tailed Random Matrices: How They Differ from the GOE, and Open Problems
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    Chapter 16 An Analyst’s Take on the BPHZ Theorem
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    Chapter 17 Parabolic Anderson Model with Rough Dependence in Space
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    Chapter 18 Perturbation of Conservation Laws and Averaging on Manifolds
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    Chapter 19 Free Probability, Random Matrices, and Representations of Non-commutative Rational Functions
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    Chapter 20 A Review on Comodule-Bialgebras
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    Chapter 21 Renormalization: A Quasi-shuffle Approach
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    Chapter 22 Hopf Algebra Techniques to Handle Dynamical Systems and Numerical Integrators
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    Chapter 23 Quantitative Limit Theorems for Local Functionals of Arithmetic Random Waves
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    Chapter 24 Combinatorics on Words and the Theory of Markoff
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    Chapter 25 An Algebraic Approach to Integration of Geometric Rough Paths
Attention for Chapter 20: A Review on Comodule-Bialgebras
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Chapter title
A Review on Comodule-Bialgebras
Chapter number 20
Book title
Computation and Combinatorics in Dynamics, Stochastics and Control
Published by
Springer, Cham, August 2016
DOI 10.1007/978-3-030-01593-0_20
Book ISBNs
978-3-03-001592-3, 978-3-03-001593-0
Authors

Dominique Manchon, Manchon, Dominique