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  • Conference proceedings
  • © 2018

Computation and Combinatorics in Dynamics, Stochastics and Control

The Abel Symposium, Rosendal, Norway, August 2016

  • 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)

Conference series link(s): Abelsymposium: The Abel Symposium

Conference proceedings info: Abelsymposium 2016.

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Table of contents (25 papers)

  1. Front Matter

    Pages i-xi
  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. BSDEs with Default Jump

    • Roxana Dumitrescu, Miryana Grigorova, Marie-Claire Quenez, Agnès Sulem
    Pages 233-263
  10. Continuous-Time Autoregressive Moving-Average Processes in Hilbert Space

    • Fred Espen Benth, André Süss
    Pages 297-320
  11. Pre- and Post-Lie Algebras: The Algebro-Geometric View

    • Gunnar Fløystad, Hans Munthe-Kaas
    Pages 321-367
  12. Infinite Dimensional Rough Dynamics

    • Massimiliano Gubinelli
    Pages 401-413
  13. An Analyst’s Take on the BPHZ Theorem

    • Martin Hairer
    Pages 429-476
  14. Parabolic Anderson Model with Rough Dependence in Space

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

Other Volumes

  1. Computation and Combinatorics in Dynamics, Stochastics and Control

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

Bibliographic Information

Buy it now

Buying options

eBook USD 149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access