activity
20212023
most citedThe Generalized Bergman Game

1 citations · 1 across the 6 of their papers we have counts for

collaborators

6 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…

math.CO2022

Probabilistic Parking Functions

Irfan Durmić, Alex Han, Pamela E. Harris +2

We consider the notion of classical parking functions by introducing randomness and a new parking protocol, as inspired by the work presented in the paper ``Parking Functions: Choo…

math.PR2022

Benfordness of the Generalized Gamma Distribution

Zelong Bi, Irfan Durmić, Steven J. Miller

The generalized gamma distribution shows up in many problems related to engineering, hydrology as well as survival analysis. Earlier work has been done that estimated the deviation…

math.NT2021★ 1 cited

The Generalized Bergman Game

Benjamin Baily, Justine Dell, Irfan Durmić +8

Every positive integer may be written uniquely as a base- decomposition--that is a legal sum of powers of --where is the dominating root of a non-increasing positive line…