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Computation and Combinatorics in Dynamics, Stochastics and Control

The Abel Symposium, Rosendal, Norway, August 2016

  • Conference proceedings
  • © 2018

Overview

Editors:
  1. Elena Celledoni

    1. Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway

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  2. Giulia Di Nunno

    1. Department of Mathematics, University of Oslo, Oslo, Norway

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  3. Kurusch Ebrahimi-Fard

    1. Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway

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  4. Hans Zanna Munthe-Kaas

    1. Department of Mathematics, University of Bergen, Bergen, Norway

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  • High-quality articles written by leading experts, including several ICM speakers, the 2014 Fields medalist Martin Hairer and the 2018 Henri Poincaré Prize laureate Percy Deift
  • Presents developments in the field of deterministic and stochastic dynamical systems from the combined points of view of mathematical analysis, computational mathematics and control theory
  • Unique and new emphasis on the fruitful interplay between analytic problems and tools from algebraic combinatorics

Part of the book series: Abel Symposia (ABEL, volume 13)

Included in the following conference series:

Conference proceedings info: Abelsymposium 2016.

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Table of contents (25 papers)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Facilitated Exclusion Process

    • Jinho Baik, Guillaume Barraquand, Ivan Corwin, Toufic Suidan
    Pages 1-35

  3. Stochastic Functional Differential Equations and Sensitivity to Their Initial Path

    • D. R. Baños, G. Di Nunno, H. H. Haferkorn, F. Proske
    Pages 37-70

  4. Grassmannian Flows and Applications to Nonlinear Partial Differential Equations

    • Margaret Beck, Anastasia Doikou, Simon J. A. Malham, Ioannis Stylianidis
    Pages 71-98

  5. Gog and Magog Triangles

    • Philippe Biane
    Pages 99-127

  6. The Clebsch Representation in Optimal Control and Low Rank Integrable Systems

    • Anthony M. Bloch, François Gay-Balmaz, Tudor S. Ratiu
    Pages 129-158

  7. The Geometry of Characters of Hopf Algebras

    • Geir Bogfjellmo, Alexander Schmeding
    Pages 159-185

  8. Shape Analysis on Homogeneous Spaces: A Generalised SRVT Framework

    • Elena Celledoni, Sølve Eidnes, Alexander Schmeding
    Pages 187-220

  9. Universality in Numerical Computation with Random Data: Case Studies, Analytical Results and Some Speculations

    • Percy Deift, Thomas Trogdon
    Pages 221-231

  10. BSDEs with Default Jump

    • Roxana Dumitrescu, Miryana Grigorova, Marie-Claire Quenez, Agnès Sulem
    Pages 233-263

  11. The Faà di Bruno Hopf Algebra for Multivariable Feedback Recursions in the Center Problem for Higher Order Abel Equations

    • Kurusch Ebrahimi-Fard, W. Steven Gray
    Pages 265-296

  12. Continuous-Time Autoregressive Moving-Average Processes in Hilbert Space

    • Fred Espen Benth, André Süss
    Pages 297-320

  13. Pre- and Post-Lie Algebras: The Algebro-Geometric View

    • Gunnar Fløystad, Hans Munthe-Kaas
    Pages 321-367

  14. Extension of the Product of a Post-Lie Algebra and Application to the SISO Feedback Transformation Group

    • Loïc Foissy
    Pages 369-399

  15. Infinite Dimensional Rough Dynamics

    • Massimiliano Gubinelli
    Pages 401-413

  16. Heavy Tailed Random Matrices: How They Differ from the GOE, and Open Problems

    • Alice Guionnet
    Pages 415-427

  17. An Analyst’s Take on the BPHZ Theorem

    • Martin Hairer
    Pages 429-476

  18. Parabolic Anderson Model with Rough Dependence in Space

    • Yaozhong Hu, Jingyu Huang, Khoa Lê, David Nualart, Samy Tindel
    Pages 477-498

  19. Perturbation of Conservation Laws and Averaging on Manifolds

    • Xue-Mei Li
    Pages 499-550

  20. Free Probability, Random Matrices, and Representations of Non-commutative Rational Functions

    • Tobias Mai, Roland Speicher
    Pages 551-577
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Other volumes

  1. Computation and Combinatorics in Dynamics, Stochastics and Control

Keywords

About this book

The Abel Symposia volume at hand contains a collection of high-quality articles written by the world’s leading experts, and addressing all mathematicians interested in advances in deterministic and stochastic dynamical systems, numerical analysis, and control theory.

In recent years we have witnessed a remarkable convergence between individual mathematical disciplines that approach deterministic and stochastic dynamical systems from mathematical analysis, computational mathematics and control theoretical perspectives. Breakthrough developments in these fields now provide a common mathematical framework for attacking many different problems related to differential geometry, analysis and algorithms for stochastic and deterministic dynamics. In the Abel Symposium 2016, which took place from August 16-19 in Rosendal near Bergen, leading researchers in the fields of deterministic and stochastic differential equations, control theory, numerical analysis, algebra and random processes presented and discussed the current state of the art in these diverse fields.

The current Abel Symposia volume may serve as a point of departure for exploring these related but diverse fields of research, as well as an indicator of important current and future developments in modern mathematics.


Editors and Affiliations

  • Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway

    Elena Celledoni, Kurusch Ebrahimi-Fard

  • Department of Mathematics, University of Oslo, Oslo, Norway

    Giulia Di Nunno

  • Department of Mathematics, University of Bergen, Bergen, Norway

    Hans Zanna Munthe-Kaas

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