Root lattices are efficient sampling lattices for reconstructing isotropic signals in arbitrary dimensions, due to their highly symmetric structure. One root lattice, the Cartesia...
In this paper, we present a simple method for generating random-based signatures when random number generators are either unavailable or of suspected quality (malicious or accident...
This paper reports that in parallel Monte-Carlo simulations of the 2D Ising-Model, commonly used pseudo-random number generators (PRNG) lead to manifestly erroneous results. When ...
Hyo Ashihara, Ai Kuramoto, Isaku Wada, Makoto Mats...
We perturb the simple cubic (SC), body-centered cubic (BCC), and face-centered cubic (FCC) structures with a spatial Gaussian noise whose adimensional strength is controlled by th...
We investigate fast algorithms for changing between the standard basis and an orthogonal basis of idempotents for M¨obius algebras of finite lattices. We show that every lattice...