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FOCM
2008
100views more  FOCM 2008»
13 years 10 months ago
Optimal Control and Geodesics on Quadratic Matrix Lie Groups
In this paper, we consider some matrix subgroups of the general linear group and in particular the special linear group that are defined by a quadratic matrix identity. The Lie al...
Anthony M. Bloch, Peter E. Crouch, Jerrold E. Mars...
APPROX
2009
Springer
156views Algorithms» more  APPROX 2009»
14 years 4 months ago
Small-Bias Spaces for Group Products
Small-bias, or -biased, spaces have found many applications in complexity theory, coding theory, and derandomization. We generalize the notion of small-bias spaces to the setting ...
Raghu Meka, David Zuckerman
CDC
2008
IEEE
152views Control Systems» more  CDC 2008»
14 years 4 months ago
Coordination on Lie groups
— This paper studies the coordinated motion of a group of agents evolving on a Lie group. Left- or rightinvariance with respect to the absolute position on the group lead to two ...
Alain Sarlette, Silvere Bonnabel, Rodolphe Sepulch...
CRYPTO
2001
Springer
145views Cryptology» more  CRYPTO 2001»
14 years 2 months ago
Pseudorandomness from Braid Groups
Recently the braid groups were introduced as a new source for cryptography. The group operations are performed efficiently and the features are quite different from those of other...
Eonkyung Lee, Sangjin Lee, Sang Geun Hahn
CCS
1998
ACM
14 years 2 months ago
Authenticated Group Key Agreement and Friends
Many modern computing environments involve dynamic peer groups. Distributed simulation, multi-user games, conferencing and replicated servers are just a few examples. Given the op...
Giuseppe Ateniese, Michael Steiner, Gene Tsudik