Miguel Alcubierre, Gabrielle Allen, Bernd Brügmann, Edward Seidel, and Wai-Mo Suen (1) Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, 14476 Golm, Germany (2) National Center for Supercomputing Applications, Beckman Institute, 405 N. Mathews Ave., Urbana, IL 61801 (3) Department of Physics, Washington University, St. Louis, MO 63130 (4) Physics Department,...

In this paper, we construct cataclysm deformations for $\theta$-Anosov representations into a semisimple non-compact connected real Lie group $G$ with finite center, where $\theta \subset \Delta$ is subset of the simple roots that invariant under opposition involution. These generalize Thurston's cataclysms on Teichm\"uller space and Dreyer's Borel-Anosov $\mathrm{PSL}(n, \mathbb{R})$. We expre...

We characterize inner product spaces in terms of the relationship between the relative Chebyshev center of a set and the absolute Cheby-shev center of an associated set. A consequence of the characterization is that an existing nite algorithm can be adapted to calculate the center of a nite set relative to a nite dimensional aane space. We also discuss the case where the constraint set is nonli...

A division property is a generic tool to search for integral distinguishers, and automatic tools such as MILP or SAT/SMT allow us evaluate the propagation efficiently. In application stream ciphers, it enables estimate security of cube attacks theoretically, leads best key-recovery against well-known ciphers. However, was reported that some based on degenerate distinguishing due inaccuracy prop...

‎The decomposition $Gamma=BH$ of a group $Gamma$ into a subset B ‎and a subgroup $H$ of $Gamma$ induces‎, ‎under general conditions‎, ‎a ‎group-like structure for B‎, ‎known as a gyrogroup‎. ‎The famous‎ concrete realization of a gyrogroup‎, ‎which motivated the emergence ‎of gyrogroups into the mainstream‎, ‎is the space of all ‎relativistically admissible velocities along with a binary ‎mbox{...