26 citations · 60 across the 36 of their papers we have counts for
8 papers · 1 filter
Benfordness of Measurements Resulting from Box Fragmentation
Livia Betti, Irfan Durmić, Zoe McDonald +2
We make progress on a conjecture made by [DM], which states that the -dimensional frames of -dimensional boxes resulting from a fragmentation process satisfy Benford's law fo…
Generalizing the German Tank Problem
Anthony Lee, Steven J. Miller
The German Tank Problem dates back to World War II when the Allies used a statistical approach to estimate the number of enemy tanks produced or on the field from observed serial n…
When Rooks Miss: Probability through Chess
Steven J. Miller, Haoyu Sheng, Daniel Turek
A famous (and hard) chess problem asks what is the maximum number of safe squares possible in placing queens on an board. We examine related problems from placing $…
Distribution of Eigenvalues of Matrix Ensembles arising from Wigner and Palindromic Toeplitz Blocks
Keller Blackwell, Neelima Borade, Arup Bose +7
Random Matrix Theory (RMT) has successfully modeled diverse systems, from energy levels of heavy nuclei to zeros of -functions; this correspondence has allowed RMT to successful…
The limiting spectral measure for an ensemble of generalized checkerboard matrices
Fangu Chen, Jiahui Yu, Steven J. Miller +1
Random matrix theory successfully models many systems, from the energy levels of heavy nuclei to zeros of -functions. While most ensembles studied have continuous spectral distr…
Recurrence Relations and Benford's Law
Madeleine Farris, Noah Luntzlara, Steven J. Miller +2
There are now many theoretical explanations for why Benford's law of digit bias surfaces in so many diverse fields and data sets. After briefly reviewing some of these, we discuss…