5 papers
Moving Frames for Lie Pseudo-groups: A Recursive Implementation
Peter J. Olver, Francis Valiquette
A new recursive implementation of the equivariant moving frame method for infinite-dimensional Lie pseudo-group actions is presented. It allows pseudo-group normalizations to be pe…
Convergence of Normal Form Power Series for Infinite-Dimensional Lie Pseudo-Group Actions
Peter J. Olver, Masoud Sabzevari, Francis Valiquette
We prove the convergence of normal form power series for suitably nonsingular analytic submanifolds under a broad class of infinite-dimensional Lie pseudo-group actions. Our theore…
Continuous Revival of the Periodic Schrödinger Equation with Piecewise Potential
Dinh-Quan Tran, Peter J. Olver
In this paper, we investigate the revivals of the one-dimensional periodic Schrödinger equation with a piecewise potential function. As has been observed through numerical s…
New Revival Phenomena for Bidirectional Dispersive Hyperbolic Equations
George Farmakis, Jing Kang, Peter J. Olver +2
In this paper, the dispersive revival and fractalization phenomena for bidirectional dispersive equations on a bounded interval subject to periodic boundary conditions and disconti…
The Batch Artifact Scanning Protocol: A new method using computed tomography (CT) to rapidly create three-dimensional models of objects from large collections en masse
Katrina Yezzi-Woodley, Jeff Calder, Mckenzie Sweno +2
Within anthropology, the use of three-dimensional (3D) imaging has become increasingly common and widespread since it broadens the available avenues for addressing a wide range of…