3 papers
math.NT2024
A Survey of a Random Matrix Model for a Family of Cusp Forms
Owen Barrett, Zoë X. Batterman, Aditya Jambhale +4
The Katz-Sarnak philosophy states that statistics of zeros of -function families near the central point as the conductors tend to infinity agree with those of eigenvalues of ran…
math.OA2023
The Hamming Distance and the Fell Topology on AF Algebras
Konrad Aguilar, Zoë X. Batterman
We introduce a new metric on the ideal space of an AF algebra that metrizes the Fell topology. The novelty of this metric lies in the use of a Hamming distance type metric in its c…
math.CO2023
The Reversed Zeckendorf Game
Zoë X. Batterman, Aditya Jambhale, Steven J. Miller +4
Zeckendorf proved that every natural number can be expressed uniquely as a sum of non-consecutive Fibonacci numbers, called its Zeckendorf decomposition. Baird-Smith, Epstein,…