Computation and Combinatorics in Dynamics, Stochastics and Control (eBook)

Facilitated Exclusion Process: Jinho Baik, Guillaume Barraquand, Ivan Corwin and Toufic Suidan.- Stochastic Functional Differential Equations and Sensitivity to their Initial Path: D. R. Baños, G. Di Nunno, H. H. Haferkorn, and F. Proske.- Grassmannian flows and applications to nonlinear partial differential equations: Margaret Beck, Anastasia Doikou, Simon J.A. Malham and Ioannis Stylianidis.- Gog and Magog triangles: Philippe Biane.- The Clebsch representation in optimal control and low rank integrable systems: Anthony M. Bloch, Francois Gay-Balmaz, Tudor S. Ratiu.- The geometry of characters of Hopf algebras: Geir Bogfjellmo and Alexander Schmeding.- Shape analysis on homogeneous spaces: a generalised SRVT framework: E. Celledoni, S. Eidnes, A. Schmeding.- Universality in numerical computation with random data. Case studies, analytical results and some speculations: Percy Deift and Thomas Trogdon.- BSDEs with default jump: Roxana Dumitrescu, Miryana Grigorova, Marie-Claire Quenez, Agnes Sulem.- 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.- Continuous-time autoregressive moving-average processes in Hilbert space: Fred Espen Benth and André Süss.- Pre- and post-Lie algebras: The algebro-geometry view: Gunnar Fløystad and Hans Munthe-Kaas.- Extension of the product of a post-Lie algebra and application to the SISO feedback transformation group: Loïc Foissy.- Infinite dimensional rough dynamics: M. Gubinelli.- Heavy tailed random matrices: how they differ from the GOE, and open problems: Alice Guionnet.- An analyst’s take on the BPHZ theorem: Martin Hairer.- Parabolic Anderson model with rough dependence in space: Yaozhong Hu, Jingyu Huang, Khoa Lê, David Nualart, Samy Tindel.- Perturbation of conservation laws and averaging on manifolds: Xue-Mei Li.- Free probability, random matrices, and representations of non-commutative rational functions: Tobias Mai and Roland Speicher.- A review on comodule-bialgebras: Dominique Manchon.- Renormalization: a quasi-shuffle approach: Frédéric Menous and Frédéric Patras.- Hopf algebra techniques to handle dynamical systems and numerical integrators: A. Murua and J.M. Sanz-Serna.- Quantitative limit theorems for local functionals of arithmetic random waves: Giovanni Peccati and Maurizia Rossi.- Combinatorics on words and the theory of Markoff: Christophe Reutenauer.- An algebraic approach to integration of geometric rough paths: Danyu Yang.