4 papers
Benford behavior resulting from stick and box fragmentation processes
Bruce Fang, Steven J. Miller
Benford's law is the statement that in many real world data sets, the probability of having digit in base as the first digit is \log_{B}\!\left(\frac{d+1}{d}\right) for all…
A closed formula for linear recurrences with constant coefficients
Glenn Bruda, Bruce Fang, Pico Gilman +6
Given a linear recurrence of the form , it is well-known that , where the sum is taken over the set of characteristic root…
Benford Behavior in Stick Fragmentation Problems
Bruce Fang, Ava Irons, Ella Lippelman +1
Benford's law is the statement that in many real-world data sets, the probability of having digit \(d\) in base \(B\), where \(1 \leq d \leq B\), as the first digit is \(\log_{B}\l…
The Limiting Spectral Distribution of Various Matrix Ensembles Under the Anticommutator Operation
Glenn Bruda, Bruce Fang, Raul Marquez +6
Inspired by the quantization of classical quantities and Rankin Selberg convolution, we study the anticommutator operation , where , applied to…