"Geometry, Mechanics, and Dynamics: The Legacy of Jerry Marsden" ed. by Dong Eui Chang, et al.

This book illustrates the broad range of Jerry Marsden’s mathematical legacy in areas of geometry, mechanics, and dynamics, from very pure mathematics to very applied, but always with a geometric perspective. The unified treatment of the wide breadth of topics treated in this book will be of interest to both experts and novices in geometric mechanics.

Experts will recognize applications of their own familiar concepts and methods in a wide variety of fields, some of which they may never have approached from a geometric viewpoint.
Novices may choose topics that interest them among the various fields and learn about geometric approaches and perspectives toward those topics that will be new for them as well.

Each contribution develops its material from the viewpoint of geometric mechanics beginning at the very foundations, introducing readers to modern issues via illustrations in a wide range of topics. The twenty refereed papers contained in this volume are based on lectures and research performed during the month of July 2012 at the Fields Institute for Research in Mathematical Sciences, in a program in honor of Marsden's legacy.

Contents
Preface to Fields Volume
A Global Version of the Koon-Marsden Jacobiator Formula
Geometry of Image Registration: The Diffeo morph ism Group and Momentum Maps
Multisymplectic Geometry and Lie Groupoids
The Topology of Change: Foundations of Probability with Black Swans
Chaos in the Kepler Problem with Quadrupole Perturbations
Groups of Diffeo morph is ms and Fluid Motion: Reprise
Dual Pairs for Non-Abelian Fluids
The Role of SE(d)-Reduction for Swimming in Stokesand Navier-Stokes Fluids
Lagrangian Mechanics on Centered Semi-direct Products
Vortices on Closed Surfaces
The Geometry of Radiative Transfer
A Soothing Invisible Hand: Moderation Potentials in Optimal Control
The Local Description of Discrete Mechanics
Keplerian Dynamics on the Heisenberg Group and Elsewhere
On the Completeness of Trajectories for Some Mechanical Systems
Diffeo morph ic Image Matching with Left-Invariant Metrics
Normal Forms for Lie Symmetric Cotangent Bundle Systems with Free and Proper Actions
Polite Actions of Non-compact Lie Groups
Geometric Computational Electrodynamics with Variational Integrators and Discrete Differential Forms
Hamel's Formalism and Variational Integrators