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19 papers · 1 filter
On Pseudosquares and Pseudopowers
Carl Pomerance, Igor E. Shparlinski
Introduced by Kraitchik and Lehmer, an -pseudosquare is a positive integer that is a quadratic residue for each odd prime , yet is not a square. We use…
Irreducible Representations of Groupoid -algebras
Marius Ionescu, Dana P. Williams
If is a second countable locally compact Hausdorff groupoid with Haar system, we show that every representation induced from an irreducible representation of a stability group…
Epcast: Controlled Dissemination in Human-based Wireless Networks by means of Epidemic Spreading Models
Salvatore Scellato, Cecilia Mascolo, Mirco Musolesi +1
Epidemics-inspired techniques have received huge attention in recent years from the distributed systems and networking communities. These algorithms and protocols rely on probabili…
Gibbsian theory of power law distributions
R. A. Treumann, C. H. Jaroschek
It is shown that power law phase space distributions describe marginally stable Gibbsian equilibria far from thermal equilibrium which are expected to occur in collisionless plasma…
The -class and almost-increasing permutations
Sergi Elizalde
In this paper we give a bijection between the class of permutations that can be drawn on an X-shape and a certain set of permutations that appears in [Knuth] in connection to sorti…
Dynamical Emergence of Complex Structures in Field Theories
Joel Thorarinson, Marcelo Gleiser
Nonlinear field theories can be used to study both standard physics questions, or to study questions such as the emergence of order and complexity. These theories are generally der…