4 citations · 4 across the 5 of their papers we have counts for
7 papers
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…
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…
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…
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…
Products and powers of principal symmetric ideals
Eric Dannetun, Riccardo Formenti, Bo Y. Gao +8
Principal symmetric ideals were recently introduced by Harada, Seceleanu, and Sega, with a focus on their homological properties. They are ideals generated by the orbit of a single…
Gaps of Summands of the Zeckendorf Lattice
Neelima Borade, Dexter Cai, David Z. Chang +4
A beautiful theorem of Zeckendorf states that every positive integer has a unique decomposition as a sum of non-adjacent Fibonacci numbers. Such decompositions exist more generally…
Avoiding 3-Term Geometric Progressions in Hurwitz Quaternions
Megumi Asada, Bruce Fang, Eva Fourakis +6
Several recent papers have considered the problem of how large a subset of integers can be without containing any 3-term geometric progressions. This problem has also recently been…