Isotropic ppmc immersions

Minimal Lagrangian isotropic immersions in indefinite complex space forms

High Performance PPMC Compression Algorithm

It has been demonstrated with recent software implementations of context modeling the capability of PPM (Prediction by Partial Matching) [1] type of algorithms to achieve very high compression rates. However, the cost is high in terms of computational complexity and low speed. Hardware implementations of compression algorithms are capable of increasing compression speed by at least an order of ...

On the Moduli of Isotropic and Helical Minimal Immersions between Spheres

DoCarmo-Wallach theory and its subsequent refinements assert the rich abundance of spherical minimal immersions, minimal immersions of round spheres into round spheres. A spherical minimal immersion can be written as a conformal minimal immersion f : Sm → SV with domain the Euclidean m-sphere Sm and range the unit sphere SV of a Euclidean vector space V . Takahashi’s theorem then implies that t...

PPMC: A Programmable Pattern Based Memory Controller

One of the main challenges in the design of hardware accelerators is the efficient access of data from the external memory. Improving and optimizing the functionality of the memory controller between the external memory and the accelerators is therefore critical. In this paper, we advance toward this goal by proposing PPMC, the Programmable Pattern-based Memory Controller. This controller suppo...

Poincaré Immersions

We show that the fundamental theorem of immersion theory admits a Poincaré duality space analogue. Along the way, we obtain new homotopy theoretic proofs of the existence and uniqueness of the Spivak normal fibration of a closed Poincaré space.