6 citations · 7 across the 3 of their papers we have counts for
3 papers
math-ph2022★ 1 cited
Critical points of discrete periodic operators
Matthew Faust, Frank Sottile
We study the spectra of operators on periodic graphs using methods from combinatorial algebraic geometry. Our main result is a bound on the number of complex critical points of the…
math.PR2019★ 6 cited
The Surprising Accuracy of Benford's Law in Mathematics
Zhaodong Cai, Matthew Faust, A. J. Hildebrand +2
Benford's law is an empirical ``law'' governing the frequency of leading digits in numerical data sets. Surprisingly, for mathematical sequences the predictions derived from it can…
math.NT2017
Leading Digits of Mersenne Numbers
Zhaodong Cai, Matthew Faust, A. J. Hildebrand +2
It has long been known that sequences such as the powers of and the factorials satisfy Benford's Law; that is, leading digits in these sequences occur with frequencies given by…