209 citations
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6 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…
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…
Generating trees for permutations avoiding generalized patterns
Sergi Elizalde
We construct generating trees with one, two, and three labels for some classes of permutations avoiding generalized patterns of length 3 and 4. These trees are built by adding at e…
Analytic steady-state space use patterns and rapid computations in mechanistic home range analysis
A. H. Barnett, P. R. Moorcroft
Mechanistic home range models are important tools in modeling animal dynamics in spatially-complex environments. We introduce a class of stochastic models for animal movement in a…