46 citations
6 papers
Prime Tuples and Siegel Zeros
Thomas Wright
Under the assumption of infinitely many Siegel zeroes with for a sufficiently large value of , we prove that there exist infinitely many …
There are infinitely many elliptic Carmichael numbers
Thomas Wright
In 1987, Dan Gordon defined an elliptic curve analogue to Carmichael numbers known as elliptic Carmichael numbers. In this paper, we prove that there are infinitely many elliptic C…
A Case Study in Text Mining: Interpreting Twitter Data From World Cup Tweets
Daniel Godfrey, Caley Johns, Carl Meyer +2
Cluster analysis is a field of data analysis that extracts underlying patterns in data. One application of cluster analysis is in text-mining, the analysis of large collections of…
Infinitely Many Carmichael Numbers in Arithmetic Progressions
Thomas Wright
In this paper, we prove that for any with , there are infinitely many Carmichael numbers such that mod
Instabilities and Patterns in Coupled Reaction-Diffusion Layers
Anne J. Catlla, Amelia McNamara, Chad M. Topaz
We study instabilities and pattern formation in reaction-diffusion layers that are diffusively coupled. For two-layer systems of identical two-component reactions, we analyze the s…
Forced patterns near a Turing-Hopf bifurcation
C. M. Topaz, Anne J. Catlla
We study time-periodic forcing of spatially-extended patterns near a Turing-Hopf bifurcation point. A symmetry-based normal form analysis yields several predictions, including that…