28 citations · 48 across the 5 of their papers we have counts for
5 papers
Un-reduction
Martins Bruveris, David C. P. Ellis, Francois Gay-Balmaz +1
This paper provides a full geometric development of a new technique called un-reduction, for dealing with dynamics and optimal control problems posed on spaces that are unwieldy fo…
Lagrange-Poincare field equations
David C. P. Ellis, Francois Gay-Balmaz, Darryl D. Holm +1
The Lagrange-Poincare equations of classical mechanics are cast into a field theoretic context together with their associated constrained variational principle. An integrability/re…
Dynamics of charged molecular strands
David C. P. Ellis, Francois Gay-Balmaz, Darryl D. Holm +2
Euler-Poincare equations are derived for the dynamical folding of charged molecular strands (such as DNA) modeled as flexible continuous filamentary distributions of interacting ri…
Random Hamiltonian in thermal equilibrium
Dorje C. Brody, David C. P. Ellis, Darryl D. Holm
A framework for the investigation of disordered quantum systems in thermal equilibrium is proposed. The approach is based on a dynamical model--which consists of a combination of a…
Hamiltonian statistical mechanics
Dorje C. Brody, David C. P. Ellis, Darryl D. Holm
A framework for statistical-mechanical analysis of quantum Hamiltonians is introduced. The approach is based upon a gradient flow equation in the space of Hamiltonians such that th…