3 papers
math.PR2023
Benford Behavior of a Higher-Dimensional Fragmentation Process
Irfan Durmić, Steven J. Miller
Nature and our world have a bias! Roughly of the time the number occurs as the leading digit in many datasets base . This phenomenon is known as Benford's law and it…
math.PR2023
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…
math.NT2023
Sums of Reciprocals of Recurrence Relations
Hao Cui, Xiaoyu Cui, Sophia C. Davis +7
There is a growing literature on sums of reciprocals of polynomial functions of recurrence relations with constant coefficients and fixed depth, such as Fibonacci and Tribonacci nu…